RECORD: Maskelyne, Nevil. 1802. Tables requisite to be used with the Nautical ephemeris. 3d ed. London.
REVISION HISTORY: Transcribed (single key) by AEL Data 8.2013. RN1
NOTE: See the record for this item in the Freeman Bibliographical Database by entering its Identifier here. This work formed part of the Beagle library. The Beagle Library project has been generously supported by a Singapore Ministry of Education Academic Research Fund Tier 1 grant and Charles Darwin University and the Charles Darwin University Foundation, Northern Territory, Australia. See the introduction to the Beagle library by John van Wyhe. See also The Complete Library of Charles Darwin.
[page i]
REQUISITE TO BE USED WITH THE
FOR FINDING THE
LATITUDE AND LONGITUDE AT SEA.
PUBLISHED BY ORDER OF THE
Gt. Bzit. COMMISSIONERS OF LONGITUDE.
THE THIRD EDITION,
CORRECTED AND IMPROVED.
London:
PRINTED BY T. BENSLEY,
AND
SOLD BY JAMES PAYNE AND JOHN MACKINLAY, IN THE STRAND, BOOKSELLERS TO THE SAID COMMISSIONERS.
1802.
[Price Five Shillings, stitched in blue Paper.]
[page ii]
[page iii]
THE first Edition of the Requisite Tables was drawn up by myself, and published at the same, time with the first Nautical Almanac, that of 1767, by order of the Commissioners of Longitude.
A second Edition, with considerable additions and improvements, was published in 1781. In this Mr. Lyons and Mr. Dunthorne's methods of calculating the effects of refraction and parallax upon the moon's distance from the sun or a star were put into new forms by myself, and rendered much easier than before; all Mr. Lyons tables being suppressed, except the last; and new rules given for calculating the effect of the star's refraction, or of the difference of the sun's refraction and parallax, upon a plan similar to that which he had given for finding the effect of the moon's parallax; and the rest of the calculation altered to shew the effect of the difference of the moon's parallax and refraction, instead of that of the parallax only. A new rule was substituted for Mr. Dunthorne's, but adapted wholly to logarithms, and requiring no distinction of cases. To facilitate the use of this method, Mr. Dunthorne's tables had been altered and extended, as shewn in the explanation. Two other methods of correcting the apparent distance were also given, taken from the Nautical
a 2
[page] iv
Almanac of 1772, one invented by myself, and the other by the late Mr. George Witchell, F. R. S. Master of the Royal Academy at Portsmouth.
Several other useful tables were also introduced, particularly extensive logarithmic solar tables for finding the latitude from two observed altitudes of the sun, and the time between, taken from the Nautical Almanacs of 1771 and 1781; and a table of latitudes and longitudes of places, that had been settled from astronomical observations and good geographical surveys.
The new tables were constructed, and the explanation and use of them drawn up by the late Mr. William Wales, F. R. S. and Master of the Royal Mathematical School, in Christ's Hospital; a person well qualified for this work by his knowledge in the practice as well as theory both of Astronomy and Navigation.
A third edition being now wanted, care has been taken to correct the errata that had been discovered in the second edition, and to introduce several new improvements, mentioned in the explanation and use of the tables; a part of the work which has been entirely new written by Mr. Wales.
At the end of Table VI. a direction is added how to use it near the equinox; the errata in Table XV. are corrected, which was chiefly requisite to make the last figure true to the nearest unit, over or under. In Table XVII. the line of the 60th minute is added, which had been left out before. The table of latitudes and longitudes of places, which before stood Table XX. but now put more conveniently the last of all, Table XXIX. has been greatly improved in accuracy, as well as extended in size, by the collections and calculations of Mr. Wales; who consulted the Philosophical Transactions, and all the foreign memoirs for this purpose. Another geographical table (Table XXX.) has been added, taken from the Grand Trigonometrical Survey, published in the Philosophical Transactions.
[page] v
Moreover, three tables of Mr. Brinkley's contrivance, relative to an improvement made by him upon the method of finding the latitude from two observations, with the time between, have been taken from the Nautical Almanacs of 1795, &c. with some corrections and improvements, and stand here Tables XXIII, XXIV, XXV; whose use is explained in Problem V. to correct the latitude found by Problem IV. after one computation. The rules, relating to the use of these three Tables, have been improved and rendered more precise, and extended in their use, by myself, under Problem V.
The three Tables relating to my method of correcting the apparent distance, which were taken from the Nautical Almanac of 1772, and put in the appendix of the second edition, are here inserted in a regular order, among the other Tables, and stand Tables XXVI, XXVII, XXVIII. Mr. Witchell's method has been improved and put in a better form by Mr. Wales, in page 42, and the two following pages of the precepts.
Greenwich,
July 9, 1802.
NEVIL MASKELYNE,
ASTRONOMER ROYAL.
[page vi]
[page] 1
TABLE I. | |||||
The Refractions of the Heavenly Bodies in Altitude. | |||||
App. Alt. | Refr. | App. Alt. | Refr. | Ap. Alt. | Refr. |
D. M. | M. S. | D. M. | M. S. | D. | M. S. |
0.0 | 33.0 | 6.30 | 7.51 | 30 | 1.38 |
0.5 | 32.10 | 6.40 | 7.40 | 31 | 1.35 |
0.10 | 31.22 | 6.50 | 7.30 | 32 | 1.31 |
0.15 | 30.35 | 7.0 | 7.20 | 33 | 1.28 |
0.20 | 29.50 | 7.10 | 7.11 | 34 | 1.24 |
0.25 | 29.6 | 7.20 | 7.2 | 35 | 1.21 |
0.30 | 28.22 | 7.30 | 6.53 | 36 | 1.18 |
0.35 | 27.41 | 7.40 | 6.45 | 37 | 1.16 |
0.40 | 27.0 | 7.50 | 6.37 | 38 | 1.13 |
0.45 | 26.20 | 8.0 | 6.29 | 39 | 1.10 |
0.50 | 25.42 | 8.10 | 6.22 | 40 | 1.8 |
0.55 | 25.5 | 8.20 | 6.15 | 41 | 1.5 |
1.0 | 24.29 | 8.30 | 6.8 | 42 | 1.3 |
1.5 | 23.54 | 8.40 | 6.1 | 43 | 1.1 |
1.10 | 23.20 | 8.50 | 5.55 | 44 | 0.59 |
1.15 | 22.47 | 9.0 | 5.48 | 45 | 0.57 |
1.20 | 22.15 | 9.10 | 5.42 | 46 | 0.55 |
1.25 | 21.44 | 9.20 | 5.36 | 47 | 0.53 |
1.30 | 21.15 | 9.30 | 5.31 | 48 | 0.51 |
1.35 | 20.46 | 9.40 | 5.25 | 49 | 0.49 |
1.40 | 20.18 | 9.50 | 5.20 | 50 | 0.48 |
1.45 | 19.51 | 10.0 | 5.15 | 51 | 0.46 |
1.50 | 19.25 | 10.15 | 5.7 | 52 | 0.44 |
1.55 | 19.0 | 10.30 | 5.0 | 53 | 0.43 |
2.0 | 18.35 | 10.45 | 4.53 | 54 | 0.41 |
2.5 | 18.11 | 11.0 | 4.47 | 55 | 0.40 |
2.10 | 17.48 | 11.15 | 4.40 | 56 | 0.38 |
2.15 | 17.26 | 11.30 | 4.34 | 57 | 0.37 |
2.20 | 17.4 | 11.45 | 4.29 | 58 | 0.35 |
2.25 | 16.44 | 12.0 | 4.23 | 59 | 0.34 |
2.30 | 16.24 | 12.20 | 4.16 | 60 | 0.33 |
2.35 | 16.4 | 12.40 | 4.9 | 61 | 0.32 |
2.40 | 15.45 | 13.0 | 4.3 | 62 | 0.30 |
2.45 | 15.27 | 13.20 | 3.57 | 63 | 0.29 |
2.50 | 15.9 | 13.40 | 3.51 | 64 | 0.28 |
2.55 | 14.52 | 14.0 | 3.45 | 65 | 0.26 |
3.0 | 14.36 | 14.20 | 3.40 | 66 | 0.25 |
3.5 | 14.20 | 14.40 | 3.35 | 67 | 0.24 |
3.10 | 14.4 | 15.0 | 3.30 | 68 | 0.23 |
3.15 | 13.49 | 15.30 | 3.24 | 69 | 0.22 |
3.20 | 13.34 | 16.0 | 3.17 | 70 | 0.21 |
3.25 | 13.20 | 16.30 | 3.10 | 71 | 0.19 |
3.30 | 13.6 | 17.0 | 3.4 | 72 | 0.18 |
3.40 | 12.40 | 17.30 | 2.59 | 73 | 0.17 |
3.50 | 12.15 | 18.0 | 2.54 | 74 | 0.16 |
4.0 | 11.51 | 18.30 | 2.49 | 75 | 0.15 |
4.10 | 11.29 | 19.0 | 2.44 | 76 | 0.14 |
4.20 | 11.8 | 19.30 | 2.39 | 77 | 0.13 |
4.30 | 10.48 | 20.0 | 2.35 | 78 | 0.12 |
4.40 | 10.29 | 20.30 | 2.31 | 79 | 0.11 |
4.50 | 10.11 | 21.0 | 2.27 | 80 | 0.10 |
5.0 | 9.54 | 21.30 | 2.24 | 81 | 0.9 |
5.10 | 9.38 | 22.0 | 2.20 | 82 | 0.8 |
5.20 | 9.23 | 23.0 | 2.14 | 83 | 0.7 |
5.30 | 9.8 | 24.0 | 2.7 | 84 | 0.6 |
5.40 | 8.54 | 25.0 | 2.2 | 85 | 0.5 |
5.50 | 8.41 | 26.0 | 1.56 | 86 | 0.4 |
6.0 | 8.28 | 27.0 | 1.51 | 87 | 0.3 |
6.10 | 8.15 | 28.0 | 1.47 | 88 | 0.2 |
6.20 | 8.3 | 29.0 | 1.42 | 89 | 0.1 |
TABLE II. | |
Depression or Dip of the Horizon of the Sea. | |
Height of the Eye. | Dip of the Horizon |
Feet. | M. S. |
1 | 0.57 |
2 | 1.21 |
3 | 1.39 |
4 | 1.55 |
5 | 2.8 |
6 | 2.20 |
7 | 2.31 |
8 | 2.42 |
9 | 2.52 |
10 | 3.1 |
11 | 3.10 |
12 | 3.18 |
13 | 3.26 |
14 | 3.34 |
15 | 3.42 |
16 | 3.49 |
17 | 3.56 |
18 | 4.3 |
19 | 4.10 |
20 | 4.16 |
21 | 4.22 |
22 | 4.28 |
23 | 4.34 |
24 | 4.40 |
26 | 4.52 |
28 | 5.3 |
30 | 5.14 |
35 | 5.39 |
40 | 6.2 |
45 | 6.24 |
50 | 6.44 |
60 | 7.23 |
70 | 7.59 |
80 | 8.32 |
90 | 9.3 |
100 | 9.33 |
TABLE III. | |
The Sun's Parallax in Altitude. | |
Sun's Alt. | Sun's Parallax. |
D. | S. |
0 | 9 |
10 | 9 |
20 | 8 |
30 | 8 |
40 | 7 |
50 | 6 |
55 | 5 |
60 | 4 |
65 | 4 |
70 | 3 |
75 | 2 |
80 | 2 |
85 | 1 |
90 | 0 |
TABLE IV. | |
Augmentation of the Moon's Semi-diameter. | |
Moon's Alt. | Augmentation. |
D. | S. |
0 | 0 |
5 | 1 |
10 | 3 |
15 | 4 |
20 | 6 |
25 | 7 |
30 | 8 |
35 | 9 |
40 | 10 |
45 | 11 |
50 | 12 |
55 | 13 |
60 | 14 |
70 | 15 |
80 &c. | 16 |
TABLE V. Dip of the Sea at different Distances from the Observer. | ||||||||
Dist. of the Land in Sea Miles. | Height of the Eye above the Sea in Feet. | |||||||
5 | 10 | 25 | 20 | 25 | 30 | 35 | 40 | |
Dip. | Dip. | Dip. | Dip. | Dip. | Dip. | Dip. | Dip. | |
M. | M. | M. | M. | M. | M. | M. | M. | |
¼ | 11 | 22 | 34 | 45 | 56 | 68 | 79 | 90 |
½ | 6 | 11 | 17 | 22 | 28 | 34 | 39 | 45 |
¾ | 4 | 8 | 12 | 15 | 19 | 23 | 27 | 30 |
1 | 4 | 6 | 9 | 12 | 15 | 17 | 20 | 23 |
1¼ | 3 | 5 | 7 | 9 | 12 | 14 | 16 | 19 |
1½ | 3 | 4 | 6 | 8 | 10 | 12 | 14 | 15 |
2 | 2 | 3 | 5 | 6 | 8 | 10 | 11 | 12 |
2½ | 2 | 3 | 5 | 6 | 7 | 8 | 9 | 10 |
3 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 8 |
3½ | 2 | 3 | 4 | 5 | 6 | 6 | 7 | 7 |
4 | 2 | 3 | 4 | 4 | 5 | 6 | 7 | 7 |
5 | 2 | 3 | 4 | 4 | 5 | 5 | 6 | 6 |
6 | 2 | 3 | 4 | 4 | 5 | 5 | 6 | 6 |
A
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TABLE VI. For reducing the SUN'S DECLINATION, as given in the Nautical Almanac for Noon at GREENWICH, to any other Time under that Meridian; or to Noon under any other Meridian. | |||||||||||
Add aft.N. | Sub.aft.N. | H M | H M | H M | H M | H M | H M | H M | H M | Sub. aft. N. | Add aft. N. |
Sub.bef.N. | Add bef.N. | 0.20 | 0.40 | 1.0 | 1.20 | 1.40 | 2.0 | 2.20 | 2.40 | Add bef. N. | Sub. bef. N. |
Add. in W. | Sub. in W. | Sub. in W. | Add in W. | ||||||||
Sub.in E. | Add in E. | 5Deg. | 10D. | 15D. | 20D. | 25D. | 30D. | 35D. | 40D. | Add in E. | Sub. in E. |
Days. | Days. | M S | M S | M S | M S | M S | M S | M S | M S | Days. | Days. |
Decem. 21 | Decem. 21 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 21 June. | 21 June. |
20 | 22 | 0.0 | 0.1 | 0.1 | 0.1 | 0.2 | 0.2 | 0.2 | 0.3 | 22 | 20 |
19 | 23 | 0.0 | 0.1 | 0.2 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 23 | 19 |
18 | 24 | 0.1 | 0.2 | 0.3 | 0.4 | 0.6 | 0.7 | 0.8 | 0.9 | 24 | 18 |
17 | 25 | 0.1 | 0.3 | 0.4 | 0.6 | 0.7 | 0.9 | 0.11 | 0.12 | 25 | 17 |
16 | 26 | 0.2 | 0.4 | 0.5 | 0.7 | 0.9 | 0.11 | 0.13 | 0.15 | 26 | 16 |
15 | 27 | 0.2 | 0.5 | 0.6 | 0.8 | 0.11 | 0.13 | 0.15 | 0.18 | 27 | 15 |
14 | 28 | 0.3 | 0.6 | 0.7 | 0.10 | 0.12 | 0.15 | 0.18 | 0.21 | 28 | 14 |
13 | 29 | 0.3 | 0.7 | 0.9 | 0.12 | 0.15 | 0.18 | 0.21 | 0.24 | 29 | 13 |
12 | 30 | 0.3 | 0.7 | 0.10 | 0.13 | 0.17 | 0.20 | 0.23 | 0.27 | 30 June. | 12 |
11 | Decem. 31 | 0.4 | 0.8 | 0.11 | 0.15 | 0.19 | 0.22 | 0.26 | 0.30 | 1 July. | 11 |
10 | January 1 | 0.4 | 0.8 | 0.12 | 0.16 | 0.20 | 0.24 | 0.28 | 0.32 | 2 | 10 |
9 | 2 | 0.4 | 0.8 | 0.13 | 0.17 | 0.21 | 0.26 | 0.30 | 0.35 | 3 | 9 |
8 | 3 | 0.5 | 0.9 | 0.14 | 0.19 | 0.24 | 0.29 | 0.33 | 0.38 | 4 | 8 |
7 | 4 | 0.5 | 0.10 | 0.15 | 0.21 | 0.26 | 0.31 | 0.36 | 0.41 | 5 | 7 |
6 | 5 | 0.5 | 0.11 | 0.16 | 0.22 | 0.28 | 0.33 | 0.38 | 0.44 | 6 | 6 |
5 | 6 | 0.6 | 0.12 | 0.17 | 0.24 | 0.30 | 0.35 | 0.41 | 0.47 | 7 | 5 |
4 | 7 | 0.6 | 0.12 | 0.18 | 0.25 | 0.31 | 0.37 | 0.43 | 0.49 | 8 | 4 |
3 | 8 | 0.6 | 0.13 | 0.19 | 0.26 | 0.33 | 0.39 | 0.45 | 0.52 | 9 | 3 |
2 | 9 | 0.7 | 0.14 | 0.20 | 0.27 | 0.34 | 0.41 | 0.48 | 0.55 | 10 | 2 |
Decem. 1 | 10 | 0.7 | 0.14 | 0.21 | 0.29 | 0.36 | 0.43 | 0.50 | 0.57 | 11 | 1 June. |
Novem. 30 | 11 | 0.7 | 0.15 | 0.22 | 0.30 | 0.37 | 0.45 | 0.52 | 1.0 | 12 | 31 May. |
29 | 12 | 0.8 | 0.16 | 0.23 | 0.31 | 0.39 | 0.47 | 0.55 | 1.3 | 13 | 30 |
28 | 13 | 0.8 | 0.16 | 0.24 | 0.33 | 0.41 | 0.49 | 0.57 | 1.6 | 14 | 29 |
27 | 14 | 0.8 | 0.17 | 0.25 | 0.34 | 0.42 | 0.51 | 0.59 | 1.8 | 15 | 28 |
26 | 15 | 0.9 | 0.18 | 0.26 | 0.35 | 0.44 | 0.53 | 1.2 | 1.11 | 16 | 27 |
25 | 16 | 0.9 | 0.18 | 0.27 | 0.37 | 0.46 | 0.55 | 1.4 | 1.13 | 17 | 26 |
24 | 17 | 0.9 | 0.19 | 0.28 | 0.38 | 0.47 | 0.57 | 1.6 | 1.16 | 18 | 25 |
23 | 18 | 0.10 | 0.20 | 0.29 | 0.39 | 0.49 | 0.58 | 1.9 | 1.19 | 19 | 24 |
22 | 19 | 0.10 | 0.20 | 0.30 | 0.40 | 0.50 | 1.0 | 1.10 | 1.20 | 20 | 23 |
21 | 20 | 0.10 | 0.21 | 0.31 | 0.41 | 0.51 | 1.2 | 1.12 | 1.22 | 21 | 22 |
20 | 21 | 0.11 | 0.22 | 0.32 | 0.43 | 0.53 | 1.4 | 1.14 | 1.25 | 22 | 21 |
19 | 22 | 0.11 | 0.22 | 0.33 | 0.44 | 0.55 | 1.6 | 1.17 | 1.28 | 23 | 20 |
18 | 23 | 0.11 | 0.23 | 0.34 | 0.45 | 0.56 | 1.7 | 1.19 | 1.30 | 24 | 19 |
17 | 24 | 0.12 | 0.23 | 0.34 | 0.46 | 0.57 | 1.9 | 1.21 | 1.32 | 25 | 18 |
16 | 25 | 0.12 | 0.24 | 0.35 | 0.47 | 0.59 | 1.11 | 1.23 | 1.35 | 26 | 17 |
15 | 26 | 0.12 | 0.24 | 0.36 | 0.48 | 1.0 | 1.12 | 1.24 | 1.36 | 27 | 16 |
14 | 27 | 0.12 | 0.25 | 0.37 | 0.49 | 1.2 | 1.14 | 1.26 | 1.39 | 28 | 15 |
13 | 28 | 0.13 | 0.26 | 0.38 | 0.51 | 1.4 | 1.16 | 1.28 | 1.41 | 29 | 14 |
11 | January 30 | 0.13 | 0.26 | 0.39 | 0.53 | 1.6 | 1.19 | 1.32 | 1.45 | 31 July. | 12 |
9 | February 1 | 0.13 | 0.27 | 0.41 | 0.55 | 1.9 | 1.22 | 1.36 | 1.50 | 2 August | 10 |
7 | 3 | 0.14 | 0.28 | 0.42 | 0.57 | 1.11 | 1.25 | 1.39 | 1.53 | 4 | 8 |
5 | 5 | 0.14 | 0.29 | 0.43 | 0.58 | 1.13 | 1.27 | 1.42 | 1.56 | 6 | 6 |
3 | 7 | 0.15 | 0.30 | 0.45 | 1.0 | 1.15 | 1.30 | 1.44 | 1.59 | 8 | 4 |
Novem. 1 | 9 | 0.15 | 0.31 | 0.46 | 1.2 | 1.17 | 1.32 | 1.47 | 2.3 | 10 | 2 May. |
October 30 | 11 | 0.16 | 0.32 | 0.47 | 1.3 | 1.19 | 1.35 | 1.50 | 2.6 | 12 | 30 April. |
28 | 13 | 0.16 | 0.32 | 0.48 | 1.5 | 1.21 | 1.37 | 1.53 | 2.9 | 14 | 28 |
26 | 15 | 0.16 | 0.33 | 0.49 | 1.6 | 1.22 | 1.39 | 1.56 | 2.12 | 16 | 26 |
24 | 17 | 0.17 | 0.34 | 0.50 | 1.7 | 1.24 | 1.41 | 1.58 | 2.15 | 18 | 24 |
21 | 20 | 0.17 | 0.34 | 0.52 | 1.9 | 1.27 | 1.44 | 2.1 | 2.19 | 21 | 21 |
18 | 23 | 0.17 | 0.35 | 0.53 | 1.11 | 1.29 | 1.46 | 2.4 | 2.22 | 24 | 18 |
15 | Feb. 26 | 0.18 | 0.36 | 0.54 | 1.13 | 1.31 | 1.49 | 2.7 | 2.25 | 27 | 15 |
12 | March 1 | 0.18 | 0.37 | 0.55 | 1.14 | 1.32 | 1.51 | 2.9 | 2.28 | 30 August | 12 |
9 | 4 | 0.19 | 0.38 | 0.56 | 1.15 | 1.34 | 1.53 | 2.12 | 2.30 | 2 Septem. | 9 |
6 | 7 | 0.19 | 0.38 | 0.57 | 1.16 | 1.35 | 1.54 | 2.13 | 2.32 | 5 | 6 |
October 3 | 10 | 0.19 | 0.38 | 0.57 | 1.17 | 1.36 | 1.55 | 2.14 | 2.34 | 8 | 3 April. |
Septem. 30 | 13 | 0.19 | 0.39 | 0.58 | 1.17 | 1.37 | 1.56 | 2.15 | 2.35 | 11 | 31 March. |
27 | 16 | 0.19 | 0.39 | 0.58 | 1.18 | 1.38 | 1.57 | 2.16 | 2.36 | 14 | 28 |
24 | 19 | 0.20 | 0.39 | 0.58 | 1.18 | 1.38 | 1.57 | 2.16 | 2.36 | 17 | 25 |
After the Equinox. | Until the Equinox. | 0.20 | 0.40 | 0.59 | 1.19 | 1.39 | 1.58 | 2.17 | 2.36 | 20 and till Equinox. | 22 After Equinox. |
0.20 | 0.40 | 0.59 | 1.19 | 1.39 | 1.58 | 2.17 | 2.36 |
[page] 3
TABLE VI. For reducing the SUN'S DECLINATION, as given in the Nautical Almanac for Noon at GREENWICH, to any other Time under that Meridian; or to Noon under any other Meridian. | ||||||||||
Add aft. N. | Sub. aft. N. | H M | H M | H M | H M | H M | H M | H M | Sub. aft. N. | Add aft. N. |
Sub. bef. N. | Add bef. N. | 3.0 | 3.20 | 3.40 | 4.0 | 4.20 | 4.40 | 5.0 | Add bef. N. | Sub. bef. N. |
Add. in W. | Sub. in W. | Sub. in W. | Add. in W. | |||||||
Sub. in E. | Add in E. | 45D. | 50D. | 55D. | 60D. | 65D. | 70D. | 75D. | Add in E. | Sub. in E. |
Days. | Days. | M S | M S | M S | M S | M S | M S | M S | Days. | Days. |
Decem. 21 | Decem. 21 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 21 June. | 21 June. |
20 | 22 | 0.3 | 0.3 | 0.4 | 0.4 | 0.4 | 0.5 | 0.5 | 22 | 20 |
19 | 23 | 0.6 | 0.7 | 0.8 | 0.9 | 0.9 | 0.10 | 0.11 | 23 | 19 |
18 | 24 | 0.10 | 0.11 | 0.12 | 0.13 | 0.14 | 0.15 | 0.16 | 24 | 18 |
17 | 25 | 0.13 | 0.15 | 0.16 | 0.18 | 0.19 | 0.20 | 0.22 | 25 | 17 |
16 | 26 | 0.16 | 0.18 | 0.20 | 0.22 | 0.24 | 0.26 | 0.27 | 26 | 16 |
15 | 27 | 0.20 | 0.22 | 0.24 | 0.26 | 0.29 | 0.31 | 0.33 | 27 | 15 |
14 | 28 | 0.23 | 0.25 | 0.28 | 0.31 | 0.34 | 0.36 | 0.38 | 28 | 14 |
13 | 29 | 0.26 | 0.29 | 0.32 | 0.35 | 0.38 | 0.41 | 0.44 | 29 | 13 |
12 | 30 | 0.30 | 0.33 | 0.36 | 0.40 | 0.43 | 0.46 | 0.50 | 30 June. | 12 |
11 | Decemb 31 | 0.33 | 0.37 | 0.40 | 0.44 | 0.48 | 0.51 | 0.55 | 1 July. | 11 |
10 | January 1 | 0.36 | 0.40 | 0.44 | 0.48 | 0.53 | 0.57 | 1.1 | 2 | 10 |
9 | 2 | 0.39 | 0.44 | 0.48 | 0.53 | 0.57 | 1.2 | 1.6 | 3 | 9 |
8 | 3 | 0.43 | 0.48 | 0.53 | 0.57 | 1.2 | 1.7 | 1.11 | 4 | 8 |
7 | 4 | 0.46 | 0.51 | 0.56 | 1.1 | 1.7 | 1.12 | 1.17 | 5 | 7 |
6 | 5 | 0.49 | 0.55 | 1.0 | 1.6 | 1.11 | 1.17 | 1.22 | 6 | 6 |
5 | 6 | 0.52 | 0.58 | 1.4 | 1.10 | 1.16 | 1.22 | 1.27 | 7 | 5 |
4 | 7 | 0.55 | 1.1 | 1.7 | 1.14 | 1.20 | 1.26 | 1.32 | 8 | 4 |
3 | 8 | 0.58 | 1.5 | 1.11 | 1.18 | 1.24 | 1.31 | 1.37 | 9 | 3 |
2 | 9 | 1.1 | 1.8 | 1.15 | 1.22 | 1.29 | 1.36 | 1.43 | 10 | 2 |
Decem. 1 | 10 | 1.4 | 1.12 | 1.19 | 1.26 | 1.33 | 1.41 | 1.48 | 11 | 1 June. |
Novemb. 30 | 11 | 1.7 | 1.15 | 1.23 | 1.30 | 1.37 | 1.45 | 1.52 | 12 | 31 May. |
29 | 12 | 1.10 | 1.18 | 1.26 | 1.34 | 1.42 | 1.50 | 1.57 | 13 | 30 |
28 | 13 | 1.13 | 1.22 | 1.30 | 1.38 | 1.46 | 1.54 | 2.2 | 14 | 29 |
27 | 14 | 1.16 | 1.25 | 1.34 | 1.42 | 1.50 | 1.58 | 2.7 | 15 | 28 |
26 | 15 | 1.19 | 1.28 | 1.37 | 1.46 | 1.55 | 2.3 | 2.12 | 16 | 27 |
25 | 16 | 1.22 | 1.31 | 1.40 | 1.49 | 1.59 | 2.8 | 2.17 | 17 | 26 |
24 | 17 | 1.25 | 1.35 | 1.44 | 1.53 | 2.3 | 2.12 | 2.21 | 18 | 25 |
23 | 18 | 1.28 | 1.38 | 1.47 | 1.57 | 2.7 | 2.16 | 2.26 | 19 | 24 |
22 | 19 | 1.30 | 1.41 | 1.51 | 2.1 | 2.11 | 2.21 | 2.31 | 20 | 23 |
21 | 20 | 1.33 | 1.44 | 1.54 | 2.4 | 2.15 | 2.25 | 2.35 | 21 | 22 |
20 | 21 | 1.36 | 1.47 | 1.57 | 2.8 | 2.19 | 2.29 | 2.40 | 22 | 21 |
19 | 22 | 1.39 | 1.50 | 2.0 | 2.11 | 2.22 | 2.33 | 2.44 | 23 | 20 |
18 | 23 | 1.41 | 1.53 | 2.4 | 2.15 | 2.26 | 2.37 | 2.48 | 24 | 19 |
17 | 24 | 1.43 | 1.55 | 2.7 | 2.18 | 2.30 | 2.41 | 2.52 | 25 | 18 |
16 | 25 | 1.46 | 1.58 | 2.10 | 2.21 | 2.33 | 2.45 | 2.56 | 26 | 17 |
15 | 26 | 1.48 | 2.1 | 2.13 | 2.25 | 2.37 | 2.49 | 3.1 | 27 | 16 |
14 | 27 | 1.51 | 2.4 | 2.16 | 2.28 | 2.40 | 2.52 | 3.5 | 28 | 15 |
13 | 28 | 1.54 | 2.7 | 2.19 | 2.31 | 2.44 | 2.56 | 3.9 | 29 | 14 |
11 | January 30 | 1.58 | 2.11 | 2.24 | 2.37 | 2.51 | 3.4 | 3.17 | 31 July. | 12 |
9 | February 1 | 2.3 | 2.17 | 2.30 | 2.43 | 2.57 | 3.11 | 3.24 | 2 August. | 10 |
7 | 3 | 2.7 | 2.21 | 2.35 | 2.49 | 3.3 | 3.17 | 3.32 | 4 | 8 |
5 | 5 | 2.11 | 2.25 | 2.40 | 2.54 | 3.9 | 3.23 | 3.38 | 6 | 6 |
3 | 7 | 2.14 | 2.29 | 2.44 | 2.59 | 3.14 | 3.29 | 3.44 | 8 | 4 |
Novemb. 1 | 9 | 2.18 | 2.33 | 2.49 | 3.4 | 3.19 | 3.35 | 3.50 | 10 | 2 May. |
October 30 | 11 | 2.22 | 2.38 | 2.53 | 3.9 | 3.25 | 3.41 | 3.56 | 12 | 30 April. |
28 | 13 | 2.25 | 2.41 | 2.58 | 3.14 | 3.30 | 3.46 | 4.3 | 14 | 28 |
26 | 15 | 2.29 | 2.45 | 3.2 | 3.18 | 3.35 | 3.51 | 4.8 | 16 | 26 |
24 | 17 | 2.32 | 2.49 | 3.5 | 3.22 | 3.39 | 3.56 | 4.13 | 18 | 24 |
21 | 20 | 2.36 | 2.53 | 3.11 | 3.28 | 3.45 | 4.3 | 4.20 | 21 | 21 |
18 | 23 | 2.40 | 2.58 | 3.15 | 3.33 | 3.51 | 4.8 | 4.26 | 24 | 18 |
15 | February 26 | 2.43 | 3.1 | 3.20 | 3.38 | 3.56 | 4.14 | 4.32 | 27 | 15 |
12 | March 1 | 2.46 | 3.5 | 3.23 | 3.42 | 4.1 | 4.19 | 4.38 | 30 August. | 12 |
9 | 4 | 2.49 | 3.8 | 3.26 | 3.45 | 4.4 | 4.23 | 4.41 | 2 Septem. | 9 |
6 | 7 | 2.51 | 3.10 | 3.29 | 3.48 | 4.7 | 4.26 | 4.45 | 5 | 6 |
October 3 | 10 | 2.53 | 3.13 | 3.32 | 3.51 | 4.10 | 4.29 | 4.49 | 8 | 3 April. |
Septem. 30 | 13 | 2.55 | 3.14 | 3.33 | 3.53 | 4.13 | 4.32 | 4.51 | 11 | 31 March. |
27 | 16 | 2.56 | 3.15 | 3.34 | 3.54 | 4.14 | 4.33 | 4.52 | 14 | 28 |
24 | 19 | 2.56 | 3.15 | 3.35 | 3.55 | 4.15 | 4.33 | 4.52 | 17 | 25 |
After the Equinox. | Until the Equinox. | 2.56 | 3.15 | 3.35 | 3.55 | 4.15 | 4.34 | 4.53 | 20 And till Equinox. | 22 After Equinox. |
2.56 | 3.15 | 3.35 | 3.55 | 4.15 | 4.34 | 4.53 |
A 2
[page] 4
TABLE VI. For reducing the SUN'S DECLINATION, as given in the Nautical Almanac for Noon at GREENWICH, to any other Time under that Meridian; or to Noon under any other Meridian. | ||||||||||
Add aft. N. | Sub. aft. N. | H M | H M | H M | H M | H M | H M | H M | Sub. aft. N. | Add aft. N. |
Sub. bef. N. | Add bef. N. | 5.20 | 5.40 | 6.0 | 6.20 | 6.40 | 7.0 | 7.20 | Add bef. N. | Sub. bef. N. |
Add. in W. | Sub. in W. | D | D | D | D | D | D | D | Sub. in W. | Add. in W. |
Sub. in E. | Add in E. | 80 | 85 | 90 | 95 | 100 | 105 | 110 | Add in E. | Sub. in E. |
Days. | Days. | M S | M S | M S | M S | M S | M S | M S | Days. | Days. |
Decem. 21 | Decem. 21 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 21 June. | 21 June. |
20 | 22 | 0.5 | 0.6 | 0.6 | 0.7 | 0.8 | 0.8 | 0.8 | 22 | 20 |
19 | 23 | 0.11 | 0.12 | 0.13 | 0.14 | 0.15 | 0.15 | 0.16 | 23 | 19 |
18 | 24 | 0.17 | 0.19 | 0.20 | 0.21 | 0.22 | 0.23 | 0.24 | 24 | 18 |
17 | 25 | 0.23 | 0.25 | 0.26 | 0.28 | 0.29 | 0.31 | 0.32 | 25 | 17 |
16 | 26 | 0.29 | 0.31 | 0.33 | 0.35 | 0.37 | 0.38 | 0.40 | 26 | 16 |
15 | 27 | 0.35 | 0.38 | 0.40 | 0.42 | 0.44 | 0.46 | 0.49 | 27 | 15 |
14 | 28 | 0.41 | 0.43 | 0.46 | 0.49 | 0.51 | 0.54 | 0.57 | 28 | 14 |
13 | 29 | 0.47 | 0.50 | 0.53 | 0.56 | 0.59 | 1.2 | 1.5 | 29 | 13 |
12 | 30 | 0.53 | 0.56 | 0.59 | 1.3 | 1.6 | 1.9 | 1.12 | 30 June. | 12 |
11 | Decemb. 31 | 0.59 | 1.2 | 1.6 | 1.10 | 1.13 | 1.17 | 1.21 | 1 July. | 11 |
10 | January 1 | 1.5 | 1.9 | 1.13 | 1.17 | 1.21 | 1.25 | 1.29 | 2 | 10 |
9 | 2 | 1.11 | 1.15 | 1.19 | 1.24 | 1.28 | 1.32 | 1.37 | 3 | 9 |
8 | 3 | 1.16 | 1.21 | 1.26 | 1.31 | 1.35 | 1.40 | 1.45 | 4 | 8 |
7 | 4 | 1.22 | 1.27 | 1.32 | 1.37 | 1.42 | 1.47 | 1.53 | 5 | 7 |
6 | 5 | 1.27 | 1.33 | 1.38 | 1.44 | 1.49 | 1.54 | 2.0 | 6 | 6 |
5 | 6 | 1.33 | 1.39 | 1.45 | 1.51 | 1.57 | 2.2 | 2.8 | 7 | 5 |
4 | 7 | 1.39 | 1.45 | 1.51 | 1.57 | 2.3 | 2.9 | 2.16 | 8 | 4 |
3 | 8 | 1.44 | 1.50 | 2.57 | 2.4 | 2.10 | 2.16 | 2.23 | 9 | 13 |
2 | 9 | 1.50 | 1.56 | 2.3 | 2.10 | 2.17 | 2.23 | 2.30 | 10 | 2 |
Decemb. 1 | 10 | 1.55 | 2.2 | 2.9 | 2.16 | 2.23 | 2.30 | 2.38 | 11 | 1 June. |
Novem. 30 | 11 | 2.0 | 2.7 | 2.15 | 2.22 | 2.30 | 2.37 | 2.45 | 12 | 31 May. |
29 | 12 | 2.5 | 2.13 | 2.21 | 2.29 | 2.37 | 2.44 | 2.52 | 13 | 30 |
28 | 13 | 2.10 | 2.19 | 2.27 | 2.35 | 2.43 | 2.51 | 3.0 | 14 | 29 |
27 | 14 | 2.16 | 2.25 | 2.33 | 2.42 | 2.50 | 2.58 | 3.7 | 15 | 28 |
26 | 15 | 2.21 | 2.30 | 2.38 | 2.47 | 2.56 | 3.5 | 3.13 | 16 | 27 |
25 | 16 | 2.26 | 2.35 | 2.44 | 2.53 | 3.2 | 3.11 | 3.21 | 17 | 26 |
24 | 17 | 2.31 | 2.40 | 2.50 | 2.59 | 3.9 | 3.18 | 3.28 | 18 | 25 |
23 | 18 | 2.36 | 2.46 | 2.55 | 3.5 | 3.15 | 3.24 | 3.34 | 19 | 24 |
22 | 19 | 2.41 | 2.51 | 3.1 | 3.11 | 3.21 | 3.31 | 3.41 | 20 | 23 |
21 | 20 | 2.46 | 2.56 | 3.6 | 3.17 | 3.27 | 3.37 | 3.48 | 21 | 22 |
20 | 21 | 2.50 | 3.2 | 3.12 | 3.23 | 3.33 | 3.44 | 3.55 | 22 | 21 |
19 | 22 | 2.55 | 3.6 | 3.17 | 3.28 | 3.39 | 3.50 | 4.1 | 23 | 20 |
18 | 23 | 3.0 | 3.11 | 3.22 | 3.33 | 3.45 | 3.56 | 4.7 | 24 | 19 |
17 | 24 | 3.4 | 3.16 | 3.27 | 3.39 | 3.50 | 4.1 | 4.13 | 25 | 18 |
16 | 25 | 3.8 | 3.20 | 3.32 | 3.44 | 3.56 | 4.7 | 4.19 | 26 | 17 |
15 | 26 | 3.13 | 3.25 | 3.37 | 3.49 | 4.1 | 4.13 | 4.26 | 27 | 16 |
14 | 27 | 3.17 | 3.29 | 3.42 | 3.54 | 4.6 | 4.19 | 4.31 | 28 | 15 |
13 | 28 | 3.22 | 3.34 | 3.47 | 4.0 | 4.12 | 4.25 | 4.38 | 29 | 14 |
11 | January 30 | 3.30 | 3.43 | 3.56 | 4.9 | 4.22 | 4.36 | 4.49 | 31 July. | 12 |
9 | February 1 | 3.38 | 3.51 | 4.5 | 4.18 | 4.32 | 4.46 | 4.59 | 2 August. | 10 |
7 | 3 | 3.46 | 4.0 | 4.14 | 4.28 | 4.42 | 4.56 | 5.10 | 4 | 8 |
5 | 5 | 3.52 | 4.6 | 4.21 | 4.36 | 4.50 | 5.5 | 5.19 | 6 | 6 |
3 | 7 | 3.59 | 4.14 | 4.29 | 4.44 | 4.59 | 5.14 | 5.29 | 8 | 4 |
Novemb. 1 | 9 | 4.5 | 4.21 | 4.36 | 4.52 | 5.7 | 5.23 | 5.38 | 10 | 2 May. |
October 30 | 11 | 4.12 | 4.28 | 4.44 | 5.0 | 5.16 | 5.31 | 5.47 | 12 | 30 April. |
28 | 13 | 4.19 | 4.35 | 4.51 | 5.7 | 5.23 | 5.40 | 5.56 | 14 | 28 |
26 | 15 | 4.24 | 4.41 | 4.57 | 5.14 | 5.30 | 5.47 | 6.4 | 16 | 26 |
24 | 17 | 4.30 | 4.47 | 5.3 | 5.21 | 5.38 | 5.55 | 6.12 | 18 | 24 |
21 | 20 | 4.37 | 4.55 | 5.12 | 5.29 | 5.47 | 6.4 | 6.21 | 21 | 21 |
18 | 23 | 4.44 | 5.2 | 5.19 | 5.37 | 5.55 | 6.13 | 6.31 | 24 | 18 |
15 | February 26 | 4.50 | 5.8 | 5.26 | 5.44 | 6.2 | 6.20 | 6.38 | 27 | 15 |
12 | March 1 | 4.56 | 5.15 | 5.33 | 5.52 | 6.10 | 6.29 | 6.47 | 30 August. | 12 |
9 | 4 | 5.0 | 5.19 | 5.38 | 5.57 | 6.16 | 6.34 | 6.53 | 2 Septem. | 9 |
6 | 7 | 5.4 | 5.23 | 5.42 | 6.1 | 6.20 | 6.39 | 6.58 | 5 | 6 |
October 3 | 10 | 5.8 | 5.27 | 5.46 | 6.5 | 6.25 | 6.44 | 7.3 | 8 | 3 April. |
Septemb. 30 | 13 | 5.11 | 5.30 | 5.49 | 6.8 | 6.28 | 6.47 | 7.6 | 11 | 31 March. |
27 | 16 | 5.12 | 5.31 | 5.51 | 6.11 | 6.31 | 6.50 | 7.9 | 14 | 28 |
24 | 19 | 5.12 | 5.32 | 5.52 | 6.12 | 6.32 | 6.51 | 7.11 | 17 | 25 |
After the Equinox. | Until the Equinox. | 5.13 | 5.33 | 5.53 | 6.13 | 6.33 | 6.52 | 7.11 | 20 And till Equinox. | 22 After Equinox. |
5.13 | 5.33 | 5.53 | 6.13 | 6.33 | 6.52 | 7.11 |
[page] 5
TABLE VI. For reducing the SUN'S DECLINATION, as given in the Nautical Almanac for Noon at GREENWICH, to any other Time under that Meridian; or to Noon under any other Meridian. | ||||||||||
Add aft. N. | Sub. aft. N. | H M | H M | H M | H M | H M | H M | H M | Sub. aft. N. | Add aft. N. |
Sub. bef. N. | Add bef. N. | 7.40 | 8.0 | 8.20 | 8.40 | 9.0 | 9.20 | 9.40 | Add bef. N. | Sub. bef. N. |
Add. in W. | Sub. in W. | D | D | D | D | D | D | D | Sub. in W. | Add. in W. |
Sub. in E. | Add in E. | 115 | 120 | 125 | 130 | 135 | 140 | 145 | Add in E. | Sub. in E. |
Days. | Days. | M S | M S | M S | M S | M S | M S | M S | Days. | Days. |
Decem. 21 | Decem. 21 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 21 June. | 21 June. |
20 | 22 | 0.9 | 0.9 | 0.9 | 0.10 | 0.10 | 0.10 | 0.10 | 22 | 20 |
19 | 23 | 0.17 | 0.18 | 0.18 | 0.19 | 0.19 | 0.20 | 0.21 | 23 | 19 |
18 | 24 | 0.25 | 0.26 | 0.27 | 0.28 | 0.29 | 0.30 | 0.31 | 24 | 18 |
17 | 25 | 0.34 | 0.35 | 0.36 | 0.38 | 0.39 | 0.41 | 0.42 | 25 | 17 |
16 | 26 | 0.42 | 0.44 | 0.46 | 0.48 | 0.49 | 0.51 | 0.53 | 26 | 16 |
15 | 27 | 0.51 | 0.53 | 0.55 | 0.57 | 0.59 | 1.1 | 1.3 | 27 | 15 |
14 | 28 | 0.59 | 1.2 | 1.5 | 1.7 | 1.9 | 1.12 | 1.14 | 28 | 14 |
13 | 29 | 1.8 | 1.11 | 1.14 | 1.17 | 1.19 | 1.22 | 1.25 | 29 | 13 |
12 | 30 | 1.16 | 1.19 | 1.23 | 1.26 | 1.29 | 1.32 | 1.35 | 30 June. | 12 |
11 | Decemb. 31 | 1.24 | 1.28 | 1.32 | 1.35 | 1.39 | 1.43 | 1.46 | 1 July. | 11 |
10 | January 1 | 1.33 | 1.37 | 1.41 | 1.45 | 1.49 | 1.53 | 1.57 | 2 | 10 |
9 | 2 | 1.42 | 1.46 | 1.51 | 1.55 | 1.59 | 2.3 | 2.7 | 3 | 9 |
8 | 3 | 1.49 | 1.54 | 1.59 | 2.4 | 2.9 | 2.13 | 2.18 | 4 | 8 |
7 | 4 | 1.58 | 2.3 | 2.8 | 2.13 | 2.19 | 2.23 | 2.28 | 5 | 7 |
6 | 5 | 2.5 | 2.11 | 2.16 | 2.22 | 2.28 | 2.33 | 2.39 | 6 | 6 |
5 | 6 | 2.14 | 2.20 | 2.26 | 2.32 | 2.38 | 2.43 | 2.49 | 7 | 5 |
4 | 7 | 2.22 | 2.28 | 2.34 | 2.41 | 2.47 | 2.53 | 2.59 | 8 | 4 |
3 | 8 | 2.29 | 2.36 | 2.43 | 2.49 | 2.56 | 3.3 | 3.9 | 9 | 3 |
2 | 9 | 2.37 | 2.44 | 2.51 | 2.58 | 3.5 | 3.12 | 3.19 | 10 | 2 |
Decemb. 1 | 10 | 2.45 | 2.52 | 2.59 | 3.6 | 3.14 | 3.21 | 3.28 | 11 | 1 June. |
Novemb. 30 | 11 | 2.52 | 3.0 | 3.7 | 3.15 | 3.23 | 3.30 | 3.38 | 12 | 31 May. |
29 | 12 | 3.0 | 3.8 | 3.16 | 3.24 | 3.32 | 3.39 | 3.47 | 13 | 30 |
28 | 13 | 3.8 | 3.16 | 3.24 | 3.32 | 3.40 | 3.49 | 3.57 | 14 | 29 |
27 | 14 | 3.15 | 3.24 | 3.32 | 3.41 | 3.49 | 3.58 | 4.6 | 15 | 28 |
26 | 15 | 3.22 | 3.31 | 3.40 | 3.49 | 3.58 | 4.7 | 4.16 | 16 | 27 |
25 | 16 | 3.30 | 3.39 | 3.48 | 3.57 | 4.7 | 4.16 | 4.25 | 17 | 26 |
24 | 17 | 3.37 | 3.46 | 3.56 | 4.6 | 4.16 | 4.24 | 4.34 | 18 | 25 |
23 | 18 | 3.44 | 3.54 | 4.4 | 4.14 | 4.24 | 4.33 | 4.43 | 19 | 24 |
22 | 19 | 3.51 | 4.1 | 4.11 | 4.21 | 4.31 | 4.41 | 4.51 | 20 | 23 |
21 | 20 | 3.58 | 4.8 | 4.19 | 4.29 | 4.39 | 4.50 | 5.0 | 21 | 22 |
20 | 21 | 4.5 | 4.16 | 4.27 | 4.37 | 4.48 | 4.59 | 5.9 | 22 | 21 |
19 | 22 | 4.12 | 4.23 | 4.34 | 4.45 | 4.56 | 5.7 | 5.18 | 23 | 20 |
18 | 23 | 4.19 | 4.30 | 4.41 | 4.53 | 5.4 | 5.15 | 5.26 | 24 | 19 |
17 | 24 | 4.25 | 4.36 | 4.48 | 5.0 | 5.12 | 5.23 | 5.34 | 25 | 18 |
16 | 25 | 4.31 | 4.43 | 4.55 | 5.7 | 5.19 | 5.30 | 5.42 | 26 | 17 |
15 | 26 | 4.38 | 4.50 | 5. | 5.14 | 5.26 | 5.38 | 5.50 | 27 | 16 |
14 | 27 | 4.43 | 4.56 | 5.8 | 5.21 | 5.33 | 5.46 | 5.58 | 28 | 15 |
13 | 28 | 4.50 | 5.3 | 5.16 | 5.28 | 5.40 | 5.54 | 6.6 | 29 | 14 |
11 | January 30 | 5.2 | 5.15 | 5.28 | 5.41 | 5.54 | 6.8 | 6.21 | 31 July. | 12 |
9 | February 1 | 5.13 | 5.27 | 5.40 | 5.54 | 6.8 | 6.22 | 6.35 | 2 August. | 10 |
7 | 3 | 5.24 | 5.38 | 5.52 | 6.6 | 6.20 | 6.35 | 6.49 | 4 | 8 |
5 | 5 | 5.34 | 5.49 | 6.4 | 6.18 | 6.33 | 6.47 | 7.2 | 6 | 6 |
3 | 7 | 5.44 | 5.59 | 6.14 | 6.29 | 6.44 | 6.59 | 7.14 | 8 | 4 |
Novemb. 1 | 9 | 5.53 | 6.9 | 6.24 | 6.40 | 6.55 | 7.11 | 7.26 | 10 | 2 May. |
October 30 | 11 | 6.3 | 6.18 | 6.34 | 6.50 | 7.6 | 7.21 | 7.37 | 12 | 30 April. |
28 | 13 | 6.12 | 6.28 | 6.44 | 7.0 | 7.16 | 7.32 | 7.48 | 14 | 28 |
26 | 15 | 6.20 | 6.36 | 6.53 | 7.10 | 7.26 | 7.42 | 7.58 | 16 | 26 |
24 | 17 | 6.29 | 6.45 | 7.2 | 7.19 | 7.36 | 7.52 | 8.9 | 18 | 24 |
21 | 20 | 6.39 | 6.56 | 7.13 | 7.31 | 7.48 | 8.5 | 8.22 | 21 | 21 |
18 | 23 | 6.48 | 7.6 | 7.24 | 7.42 | 8.0 | 8.17 | 8.34 | 24 | 18 |
15 | February 26 | 6.57 | 7.15 | 7.34 | 7.52 | 8.10 | 8.28 | 8.46 | 27 | 15 |
12 | March 1 | 7.6 | 7.24 | 7.42 | 8.1 | 8.20 | 8.38 | 8.57 | 30 August. | 12 |
9 | 4 | 7.12 | 7.31 | 7.50 | 8.9 | 8.28 | 8.46 | 9.6 | 2 Septem. | 9 |
6 | 7 | 7.17 | 7.36 | 7.55 | 8.14 | 8.33 | 8.53 | 9.12 | 5 | 6 |
October 3 | 10 | 7.23 | 7.42 | 8.1 | 8.20 | 8.39 | 8.59 | 9.18 | 8 | 3 April. |
Septemb. 30 | 13 | 7.26 | 7.45 | 8.4 | 8.24 | 8.43 | 9.3 | 9.22 | 11 | 31 March. |
27 | 16 | 7.29 | 7.48 | 8.7 | 8.27 | 8.47 | 9.6 | 9.25 | 14 | 28 |
24 | 19 | 7.30 | 7.50 | 8.10 | 8.29 | 8.49 | 9.8 | 9.27 | 17 | 25 |
After the Equinox. | Until the Equinox. | 7.31 | 7.50 | 8.10 | 8.30 | 8.50 | 9.9 | 9.28 | 20 And till Equinox. | 22 After Equinox. |
7.31 | 7.50 | 8.10 | 8.30 | 8.50 | 9.9 | 9.28 |
[page] 6
TABLE VI. For reducing the SUN'S DECLINATION, as given in the Nautical Almanac for Noon at GREENWICH, to any other Time under that Meridian; or to Noon under any other Meridian. | ||||||||||
Add aft.N. | Sub.aft.N. | H M | H M | H M | H M | H M | H M | H M | Sub.aft.N. | Add aft. N. |
Sub. bef. N. | Add bef. N. | 10.0 | 10.20 | 10.40 | 11.0 | 11.20 | 11.40 | 12.0 | Add bef.N. | Sub. bef. N. |
Add. in W. | Sub. in W. | D | D | D | D | D | D | D | Sub. in W. | Add. in W. |
Sub. in E. | Add in E. | 150 | 155 | 160 | 165 | 170 | 175 | 180 | Add in E. | Sub. in E. |
Days. | Days. | M S | M S | M S | M S | M S | M S | M S | Days. | Days. |
Decem. 21 | Decem. 21 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 21 June. | 21 June. |
20 | 22 | 0.11 | 0.11 | 0.12 | 0.12 | 0.12 | 0.13 | 0.13 | 22 | 20 |
19 | 23 | 0.22 | 0.23 | 0.24 | 0.24 | 0.25 | 0.26 | 0.26 | 23 | 19 |
18 | 24 | 0.33 | 0.34 | 0.35 | 0.36 | 0.37 | 0.38 | 0.39 | 24 | 18 |
17 | 25 | 0.44 | 0.46 | 0.47 | 0.48 | 0.50 | 0.51 | 0.53 | 25 | 17 |
16 | 26 | 0.55 | 0.57 | 0.58 | 1.0 | 1.2 | 1.4 | 1.6 | 26 | 16 |
15 | 27 | 1.6 | 1.8 | 1.11 | 1.13 | 1.15 | 1.17 | 1.19 | 27 | 15 |
14 | 28 | 1.17 | 1.20 | 1.23 | 1.25 | 1.27 | 1.30 | 1.32 | 28 | 14 |
13 | 29 | 1.28 | 1.31 | 1.34 | 1.37 | 1.40 | 1.43 | 1.46 | 29 | 13 |
12 | 30 | 1.39 | 1.42 | 1.45 | 1.49 | 1.52 | 1.55 | 1.59 | 30 | 12 |
11 | Decem. 31 | 1.50 | 1.54 | 1.57 | 2.1 | 2.5 | 2.8 | 2.12 | 1 July. | 11 |
10 | January 1 | 2.1 | 2.5 | 2.9 | 2.13 | 2.17 | 2.21 | 2.25 | 2 | 10 |
9 | 2 | 2.12 | 2.16 | 2.20 | 2.25 | 2.30 | 2.34 | 2.38 | 3 | 9 |
8 | 3 | 2.23 | 2.27 | 2.32 | 2.37 | 2.42 | 2.47 | 2.51 | 4 | 8 |
7 | 4 | 2.34 | 2.39 | 2.44 | 2.49 | 2.54 | 2.59 | 3.4 | 5 | 7 |
6 | 5 | 2.44 | 2.50 | 2.55 | 3.0 | 3.6 | 3.12 | 3.17 | 6 | 6 |
5 | 6 | 2.55 | 3.1 | 3.6 | 3.12 | 3.18 | 3.24 | 3.30 | 7 | 5 |
4 | 7 | 3.5 | 3.11 | 3.17 | 3.23 | 3.29 | 3.36 | 3.42 | 8 | 4 |
3 | 8 | 3.15 | 3.21 | 3.28 | 3.34 | 3.41 | 3.48 | 3.54 | 9 | 3 |
2 | 9 | 3.25 | 3.32 | 3.38 | 3.45 | 3.52 | 3.59 | 4.6 | 10 | 2 |
Decem. 1 | 10 | 3.35 | 3.42 | 3.49 | 3.56 | 4.4 | 4.11 | 4.18 | 11 | 1 June. |
Novem. 30 | 11 | 3.45 | 3.52 | 3.59 | 4.7 | 4.15 | 4.22 | 4.30 | 12 | 31 May. |
29 | 12 | 3.55 | 4.3 | 4.10 | 4.18 | 4.26 | 4.34 | 4.42 | 13 | 30 |
28 | 13 | 4.5 | 4.13 | 4.21 | 4.29 | 4.38 | 4.46 | 4.54 | 14 | 29 |
27 | 14 | 4.15 | 4.23 | 4.31 | 4.40 | 4.49 | 4.57 | 5.5 | 15 | 28 |
26 | 15 | 4.24 | 4.33 | 4.41 | 4.50 | 4.59 | 5.8 | 5.17 | 16 | 27 |
25 | 16 | 4.34 | 4.43 | 4.52 | 5.1 | 5.10 | 5.19 | 5.28 | 17 | 26 |
24 | 17 | 4.43 | 4.53 | 5.2 | 5.11 | 5.21 | 5.30 | 5.40 | 18 | 25 |
23 | 18 | 4.52 | 5.2 | 5.12 | 5.22 | 5.32 | 5.41 | 5.51 | 19 | 24 |
22 | 19 | 5.1 | 5.12 | 5.22 | 5.32 | 5.42 | 5.52 | 6.2 | 20 | 23 |
21 | 20 | 5.10 | 5.21 | 5.31 | 5.42 | 5.53 | 6.3 | 6.13 | 21 | 22 |
20 | 21 | 5.20 | 5.31 | 5.41 | 5.52 | 6.3 | 6.14 | 6.24 | 22 | 21 |
19 | 22 | 5.29 | 5.40 | 5.51 | 6.2 | 6.13 | 6.24 | 6.34 | 23 | 20 |
18 | 23 | 5.37 | 5.49 | 6.0 | 6.11 | 6.23 | 6.34 | 6.44 | 24 | 19 |
17 | 24 | 5.45 | 5.57 | 6.9 | 6.20 | 6.32 | 6.43 | 6.54 | 25 | 18 |
16 | 25 | 5.54 | 6.6 | 6.17 | 6.29 | 6.41 | 6.53 | 7.4 | 26 | 17 |
15 | 26 | 6.2 | 6.14 | 6.26 | 6.38 | 6.51 | 7.3 | 7.14 | 27 | 16 |
14 | 27 | 6.10 | 6.22 | 6.34 | 6.47 | 7.0 | 7.12 | 7.24 | 28 | 15 |
13 | 28 | 6.19 | 6.31 | 6.43 | 6.56 | 7.9 | 7.22 | 7.34 | 29 | 14 |
11 | January 30 | 6.34 | 6.47 | 7.0 | 7.13 | 7.26 | 7.40 | 7.53 | 31 July. | 12 |
9 | February 1 | 6.49 | 7.3 | 7.16 | 7.30 | 7.43 | 7.57 | 8.11 | 2 August. | 10 |
7 | 3 | 7.3 | 7.17 | 7.31 | 7.45 | 7.59 | 8.13 | 8.28 | 4 | 8 |
5 | 5 | 7.16 | 7.31 | 7.45 | 8.0 | 8.14 | 8.28 | 8.43 | 6 | 6 |
3 | 7 | 7.29 | 7.44 | 7.59 | 8.14 | 8.28 | 8.43 | 8.58 | 8 | 4 |
Novem. 1 | 9 | 7.41 | 7.56 | 8.12 | 8.27 | 8.42 | 8.58 | 9.13 | 10 | 2May |
October 30 | 11 | 7.53 | 8.8 | 8.24 | 8.40 | 8.56 | 9.12 | 9.28 | 12 | 30 April. |
28 | 13 | 8.4 | 8.20 | 8.36 | 8.53 | 9.9 | 9.25 | 9.42 | 14 | 28 |
26 | 15 | 8.15 | 8.32 | 8.48 | 9.5 | 9.21 | 9.38 | 9.54 | 16 | 26 |
24 | 17 | 8.26 | 8.43 | 9.0 | 9.17 | 9.34 | 9.50 | 10.7 | 18 | 24 |
21 | 20 | 8.40 | 8.57 | 9.14 | 9.32 | 9.49 | 10.6 | 10.24 | 21 | 21 |
18 | 23 | 8.52 | 9.10 | 9.28 | 9.46 | 10.3 | 10.21 | 10.39 | 24 | 18 |
15 | Feb. 26 | 9.4 | 9.22 | 9.40 | 9.58 | 10.16 | 10.34 | 10.53 | 27 | 15 |
12 | March 1 | 9.15 | 9.33 | 9.51 | 10.10 | 10.29 | 10.47 | 11.6 | 30 August. | 12 |
9 | 4 | 9.24 | 9.43 | 10.1 | 10.20 | 10.39 | 10.58 | 11.16 | 2 Sept. | 9 |
6 | 7 | 9.30 | 9.50 | 10.9 | 10.28 | 10.47 | 11.6 | 11.24 | 5 | 6 |
October 3 | 10 | 9.37 | 9.56 | 10.16 | 10.35 | 10.54 | 11.13 | 11.32 | 8 | 3 April. |
Septem. 30 | 13 | 9.41 | 10.0 | 10.21 | 10.40 | 10.59 | 11.18 | 11.38 | 11 | 31 March. |
27 | 16 | 9.45 | 10.4 | 10.24 | 10.44 | 11.3 | 11.22 | 11.42 | 14 | 28 |
24 | 19 | 9.47 | 10.6 | 10.26 | 10.46 | 11.5 | 11.24 | 11.44 | 17 | 25 |
After the Equinox. | Until the Equinox. | 9.48 | 10.7 | 10.27 | 10.47 | 11.6 | 11.25 | 11.45 | 20 And till Equinox. | 22 After Equinox. |
9.48 | 10.7 | 10.27 | 10.47 | 11.6 | 11.25 | 11.45 |
[page] 7
TABLE VII. The Right Ascensions and Declinations of the principal FIXED STARS of the First and Second Magnitudes, adapted to the Beginning of the Year 1796, with their annual Variations. | ||||||||||
Names and Situations of the Stars. | Character. | Magnitude. | Right Ascension in Time. | An. var. in Right Ascen | Declination. | Ann. var. in Declination. | ||||
H M S | S + | D M S | S | |||||||
Extremity of the wing of Pegasus, Algenib | γ | 2 | 0.2·45 | 3,06 | 14.2·55 N | + 20,04 | ||||
In the head of the Phoœnix | α | 2 | 0.16·10 | 2,98 | 43.24·30 S | −20,00 | ||||
Bright star in the tail of the Whale | β | 2 | 0.33·20 | 3,00 | 19.6·32 S | −19,84 | ||||
In the girdle of Andromeda | β | 2 | 0.58·21 | 3,30 | 34.32·6 N | +19,41 | ||||
The Spring of the River Erida, Achernar | α | 1 | 1.30·6 | 2,24 | 58.16·37 S | −18,52 | ||||
In the following horn of the Ram | α | 2 | 1.55·42 | 3,34 | 22.29·29 N | +17,46 | ||||
In the neck of the Whale | ο | 2 | 2.9·3 | 3,01 | 3.54·36 S | −16,56 | ||||
In the jaw of the Whale | α | 2 | 2.51·38 | 3,11 | 3.17·2 N | +14,69 | ||||
In the head of Medusa, Algol | β | 2 | 2.54·58 | 3,85 | 40.9·29 N | +14,49 | ||||
The bright star in Perseus | α | 2 | 3.9·50 | 4,20 | 49.7·21 N | +13,56 | ||||
The southern eye of the Bull, Aldebaran | α | 1 | 4.24·14 | 3,42 | 16.5·14 N | +8,14 | ||||
In the left shoulder of Auriga, Capella | α | 1 | 5.1·39 | 4,41 | 45.46·30 N | +5,06 | ||||
The bright foot or Orion, Rigel | β | 1 | 5.4·44 | 2,87 | 8.26·54 S | −4,78 | ||||
Northern horn of the Bull | β | 2 | 5.13·24 | 3,78 | 28.25·14 N | +4,06 | ||||
The western shoulder of Orion | γ | 2 | 5.14·12 | 3,21 | 6.9·7 N | +3,99 | ||||
Preceding star in the belt of Orion | δ | 2 | 5.21·33 | 3,06 | 0.27·46 S | −3,35 | ||||
Bright star in the Dove | α | 2 | 5.32·17 | 2,17 | 34.11·27 S | −2,42 | ||||
The eastern shoulder of Orion | α | 1 | 5.44·8 | 3,24 | 7.21·22 N | +1,39 | ||||
In the poop of the Ship Argo, Canopus | α | 1 | 6.19·26 | 1,33 | 52.35·22 S | +1,70 | ||||
In the mouth of the greater Dog, Sirius | α | 1 | 6.36·9 | 2,65 | 16.26·47 S | +4,35 | ||||
In the back of the greater Dog | δ | 2 | 7.0·6 | 2,44 | 26.4·49 S | +5,20 | ||||
In the tail of the greater Dog | η | 2 | 7.16·2 | 2,37 | 28.54·50 S | +6,53 | ||||
In the head of the northern Twin, Castor | α | 1 | 7.21·33 | 3,86 | 32.19·9 N | −6,98 | ||||
The lesser Dog, Proeyon | α | 1 | 7.28·37 | 3,14 | 5.44·40 N | −7,55 | ||||
In the head of the southern Twin, Pollux | β | 1 | 7.32·48 | 3,69 | 28.30·19 N | −7,89 | ||||
In the row-lock of the Ship Argo | ζ | 2 | 7.56·25 | 2,11 | 39.26·5 S | +9,75 | ||||
In the poop of the Ship Argo | γ | 2 | 8.3·16 | 1,85 | 46.44·24 S | +10,26 | ||||
In the middle of the Ship Argo | δ | 2 | 8.39·5 | 1,66 | 53.57·48 S | +12,83 | ||||
In the oars of the Ship Argo | β | 1 | 9.10·50 | 0,74 | 68.52·46 S | +14,84 | ||||
The heart of the female Hydra | α | 2 | 9.17·33 | 2,94 | 7.46·52 S | +15,22 | ||||
The Lion's heart, Regulus | α | 1 | 9.57·29 | 3,20 | 12.57·30 N | −17,25 | ||||
Southerm.star in the squ. of the great Bear | β | 2 | 10.49·26 | 3,71 | 57.28·20 N | −19,10 | ||||
Northerm.star in the squ. of the great Bear | α | 1 | 10.51·1 | 3,82 | 62.50·59 N | −19,14 | ||||
The Lion's tail | β | 2 | 11.38·38 | 3,06 | 15.42·47 N | −19,96 | ||||
In the foot of the Cross | α | 1 | 12.15·24 | 3,23 | 61.58·9 S | +20,00 | ||||
In the top of the Cross | γ | 2 | 12.19·56 | 3,24 | 55.58·2 S | +19,97 | ||||
In the following arm of the Cross | β | 2 | 12.35·55 | 3,41 | 58.34·18 S | +19,80 | ||||
The Virgin's Spike | α | 1 | 13.14·28 | 3,14 | 10.5·29 S | +19,00 | ||||
Last star in the tail of the great Bear | η | 2 | 13.39·31 | 2,36 | 50.20·12 N | −18,19 | ||||
The western foot of the Centaur | β | 2 | 13.49·35 | 4,10 | 59.22·43 S | +17,80 | ||||
In the Tail of the Dragon | α | 2 | 13.58·53 | 1,63 | 65.21·16 N | −17,41 | ||||
The bright star in Bootes, Arcturus | α | 1 | 14.6·21 | 2,79 | 20.15·1 N | −19,09 | ||||
Eastern foot of the Centaur | α | 1 | 14.26·13 | 4,44 | 59.59·34 S | +16,11 | ||||
The southern scale of Libra | α | 2 | 14.39·37 | 3,29 | 15.10·58 S | +15,39 | ||||
The northern scale of Libra | β | 2 | 15.6·4 | 3,22 | 8.37·11 S | +13,80 | ||||
Bright star in the Crown | α | 2 | 15.26·3 | 2,54 | 27.24·39 N | −12,48 | ||||
In the neck of the Serpent | α | 2 | 15.34·13 | 2,94 | 7.4·37 N | −11,92 | ||||
The Scorpion's heart, Antares | α | 1 | 16.16·55 | 3,65 | 25.57·49 S | +8,72 | ||||
In the head of Hercules | α | 2 | 17.5·21 | 2,73 | 14.38·1 N | −4,73 | ||||
In the head of Ophiuchus | α | 2 | 17.25·28 | 2,77 | 12.43·19 N | −3,02 | ||||
In the head of the Dragon | γ | 2 | 17.51·53 | 1,39 | 51.31·9 N | −0,71 | ||||
The bright star in the Harp, Lyra | α | 1 | 18.30·2 | 2,03 | 38.35·59 N | +2,61 | ||||
Bright star in the Eagle, Atair | α | 1 | 19.40·50 | 3,16 | 8.20·14 N | +8,54 | ||||
The Eye of the Peacock | α | 2 | 20.9·24 | 4,84 | 57.22·20 S | −10,72 | ||||
The tail of the Swan | α | 2 | 20.34·29 | 2,03 | 44.33·29 N | +12,52 | ||||
The western wing of the Crane | α | 2 | 21.55·18 | 3,84 | 47.56·16 S | −17,15 | ||||
In the mouth of the south. Fish, Fomalhaut | α | 1 | 22.46·20 | 3,33 | 30.41·54 S | −19,02 | ||||
In the shoulder of Pegasus | β | 2 | 22.53·54 | 2,87 | 26.58·39 N | + 19,22 | ||||
In the wing of Pegasus, Markab | α | 2 | 22.54·36 | 2,96 | 14.6·39 N | + 19,23 | ||||
The head of Andromeda | α | 2 | 23.57·52 | 3,06 | 27.57·51 N | + 20,04 |
[page] 8
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
3° | 4° | 5° | 6° | 7° | 8° | 9° | 10° | 11° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 38.20 | 41.1 | 42.54 | 44.15 | 45.16 | 46.0 | 46.32 | 46.57 | 47.15 |
10 | 38.30 | 41.11 | 43.4 | 44.25 | 45.26 | 46.10 | 46.42 | 47.7 | 47.25 | |
20 | 38.40 | 41.21 | 43.14 | 44.35 | 45.36 | 46.20 | 46.52 | 47.17 | 47.35 | |
30 | 38.50 | 41.31 | 43.24 | 44.45 | 45.46 | 46.30 | 47.2 | 47.26 | 47.45 | |
40 | 39.0 | 41.41 | 43.34 | 44.54 | 45.55 | 46.39 | 47.12 | 47.36 | 47.54 | |
50 | 39.10 | 41.51 | 43.43 | 45.4 | 46.5 | 46.49 | 47.22 | 47.46 | 48.4 | |
54 | 0 | 39.20 | 42.1 | 43.53 | 45.14 | 46.15 | 46.59 | 47.32 | 47.56 | 48.14 |
10 | 39.30 | 42.11 | 44.3 | 45.24 | 46.25 | 47.9 | 47.42 | 48.6 | 48.24 | |
20 | 39.40 | 42.21 | 44.13 | 45.34 | 46.35 | 47.19 | 47.51 | 48.16 | 48.34 | |
30 | 39.50 | 42.31 | 44.23 | 45.44 | 46.45 | 47.29 | 48.1 | 48.26 | 48.43 | |
40 | 40.0 | 42.41 | 44.33 | 45.54 | 46.55 | 47.38 | 48.11 | 48.35 | 48.53 | |
50 | 40.10 | 42.51 | 44.43 | 46.4 | 47.5 | 47.48 | 48.21 | 48.45 | 49.3 | |
55 | 0 | 40.20 | 43.1 | 44.53 | 46.14 | 47.15 | 47.58 | 48.31 | 48.55 | 49.13 |
10 | 40.30 | 43.11 | 45.3 | 46.24 | 47.25 | 48.8 | 48.41 | 49.5 | 49.23 | |
20 | 40.40 | 43.21 | 45.13 | 46.34 | 47.35 | 48.18 | 48.50 | 49.15 | 49.32 | |
30 | 40.50 | 43.31 | 45.23 | 46.44 | 47.45 | 48.28 | 49.0 | 49.25 | 49.42 | |
40 | 41.0 | 43.41 | 45.33 | 46.54 | 47.54 | 48.38 | 49.10 | 49.34 | 49.52 | |
50 | 41.10 | 43.51 | 45.43 | 47.4 | 48.4 | 48.48 | 49.20 | 49.44 | 50.2 | |
56 | 0 | 41.20 | 44.1 | 45.53 | 47.14 | 48.14 | 48.58 | 49.30 | 49.54 | 50.12 |
10 | 41.30 | 44.11 | 46.3 | 47.24 | 48.24 | 49.7 | 49.40 | 50.4 | 50.21 | |
20 | 41.40 | 44.21 | 46.13 | 47.34 | 48.34 | 49.17 | 49.50 | 50.14 | 50.31 | |
30 | 41.50 | 44.31 | 46.23 | 47.44 | 48.44 | 49.27 | 49.59 | 50.24 | 50.41 | |
40 | 42.0 | 44.41 | 46.33 | 47.54 | 48.54 | 49.37 | 50.9 | 50.34 | 50.51 | |
50 | 42.10 | 44.51 | 46.43 | 48.3 | 49.4 | 49.47 | 50.19 | 50.43 | 51.1 | |
57 | 0 | 42.20 | 45.1 | 46.53 | 48.13 | 49.14 | 49.57 | 50.29 | 50.53 | 51.11 |
10 | 42.30 | 45.11 | 47.3 | 48.23 | 49.24 | 50.7 | 50.39 | 51.3 | 51.20 | |
20 | 42.40 | 45.21 | 47.13 | 48.33 | 49.34 | 50.17 | 50.49 | 51.13 | 51.30 | |
30 | 42.50 | 45.31 | 47.23 | 48.43 | 49.44 | 50.27 | 50.59 | 51.23 | 51.40 | |
40 | 43.0 | 45.41 | 47.33 | 48.53 | 49.54 | 50.37 | 51.9 | 51.33 | 51.50 | |
50 | 43.10 | 45.51 | 47.42 | 49.3 | 50.4 | 50.47 | 51.19 | 51.42 | 52.0 | |
58 | 0 | 43.20 | 46.0 | 47.52 | 49.13 | 50.14 | 50.57 | 51.29 | 51.52 | 52.9 |
10 | 43.30 | 46.10 | 48.2 | 49.23 | 50.24 | 51.6 | 51.38 | 52.2 | 52.19 | |
20 | 43.40 | 46.20 | 48.12 | 49.33 | 50.34 | 51.16 | 51.48 | 52.12 | 52.29 | |
30 | 43.50 | 46.30 | 48.22 | 49.43 | 50.43 | 51.26 | 51.58 | 52.22 | 52.39 | |
40 | 44.0 | 46.40 | 48.32 | 49.53 | 50.53 | 51.36 | 52.8 | 52.32 | 52.49 | |
50 | 44.10 | 46.50 | 48.42 | 50.3 | 51.3 | 51.46 | 52.18 | 52.41 | 52.59 | |
59 | 0 | 44.20 | 47.0 | 48.52 | 50.13 | 51.13 | 51.56 | 52.28 | 52.51 | 53.8 |
10 | 44.30 | 47.10 | 49.2 | 50.23 | 51.23 | 52.6 | 52.38 | 53.1 | 53.18 | |
20 | 44.40 | 47.20 | 49.12 | 50.33 | 51.33 | 52.16 | 52.48 | 53.11 | 53.28 | |
30 | 44.50 | 47.30 | 49.22 | 50.43 | 51.43 | 52.26 | 52.58 | 53.21 | 53.38 | |
40 | 45.0 | 47.40 | 49.32 | 50.53 | 51.53 | 52.36 | 53.7 | 53.31 | 53.48 | |
50 | 45.9 | 47.50 | 49.42 | 51.2 | 52.3 | 52.46 | 53.17 | 53.41 | 53.58 | |
60 | 0 | 45.19 | 48.0 | 49.52 | 51.12 | 52.13 | 52.56 | 53.27 | 53.50 | 54.7 |
10 | 45.29 | 48.10 | 50.2 | 51.22 | 52.23 | 53.5 | 53.37 | 54.0 | 54.17 | |
20 | 45.39 | 48.20 | 50.12 | 51.32 | 52.33 | 53.15 | 53.47 | 54.10 | 54.27 | |
30 | 45.49 | 48.30 | 50.22 | 51.42 | 52.43 | 53.25 | 53.57 | 54.20 | 54.37 | |
40 | 45.59 | 48.40 | 50.32 | 51.52 | 52.52 | 53.35 | 54.7 | 54.30 | 54.47 | |
50 | 46.9 | 48.50 | 50.42 | 52.2 | 53.2 | 53.45 | 54.16 | 54.40 | 54.57 | |
61 | 0 | 46.19 | 49.0 | 50.52 | 52.12 | 53.12 | 53.55 | 54.26 | 54.50 | 55.6 |
10 | 46.29 | 49.10 | 51.2 | 52.22 | 53.22 | 54.4 | 54.36 | 54.59 | 55.16 | |
20 | 46.39 | 49.20 | 51.12 | 52.32 | 53.32 | 54.14 | 54.46 | 55.9 | 55.26 | |
30 | 46.49 | 49.30 | 51.22 | 52.42 | 53.42 | 54.24 | 54.56 | 55.19 | 55.36 | |
40 | 46.59 | 49.40 | 51.32 | 52.52 | 53.52 | 54.34 | 55.6 | 55.29 | 55.46 | |
50 | 47.9 | 49.50 | 51.42 | 53.2 | 54.2 | 54.44 | 55.16 | 55.39 | 55.56 | |
62 | 0 | 47.19 | 50.0 | 51.52 | 53.12 | 54.12 | 54.54 | 55.26 | 55.49 | 56.5 |
[page] 9
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
12° | 13° | 14° | 15° | 16° | 17° | 18° | 19° | 20° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 47.27 | 47.35 | 47.40 | 47.42 | 47.40 | 47.36 | 47.31 | 47.23 | 47.13 |
10 | 47.37 | 47.45 | 47.50 | 47.52 | 47.50 | 47.46 | 47.41 | 47.33 | 47.22 | |
20 | 47.47 | 47.55 | 47.59 | 48.1 | 47.59 | 47.55 | 47.50 | 47.42 | 47.32 | |
30 | 47.56 | 48.4 | 48.9 | 48.11 | 48.9 | 48.5 | 48.0 | 47.52 | 47.41 | |
40 | 48.6 | 48.14 | 48.19 | 48.21 | 48.19 | 48.15 | 48.9 | 48.1 | 47.50 | |
50 | 48.16 | 48.24 | 48.28 | 48.30 | 48.28 | 48.24 | 48.19 | 48.10 | 48.0 | |
54 | 0 | 48.26 | 48.34 | 48.38 | 48.40 | 48.38 | 48.34 | 48.28 | 48.20 | 48.9 |
10 | 48.36 | 48.43 | 48.48 | 48.50 | 48.47 | 48.43 | 48.38 | 48.29 | 48.19 | |
20 | 48.45 | 48.53 | 48.58 | 48.59 | 48.57 | 48.53 | 48.47 | 48.39 | 48.28 | |
30 | 48.55 | 49.3 | 49.7 | 49.9 | 49.6 | 49.2 | 48.57 | 48.48 | 48.38 | |
40 | 49.5 | 49.13 | 49.17 | 49.19 | 49.16 | 49.12 | 49.6 | 48.58 | 48.47 | |
50 | 49.15 | 49.22 | 49.27 | 49.28 | 49.26 | 49.21 | 49.16 | 49.7 | 48.57 | |
55 | 0 | 49.25 | 49.32 | 49.36 | 49.38 | 49.35 | 49.31 | 49.25 | 49.16 | 49.6 |
10 | 49.34 | 49.42 | 49.46 | 49.48 | 49.45 | 49.41 | 49.35 | 49.25 | 49.16 | |
20 | 49.44 | 49.52 | 49.56 | 49.57 | 49.54 | 49.50 | 49.44 | 49.35 | 49.25 | |
30 | 49.54 | 50.1 | 50.5 | 50.7 | 50.4 | 50.0 | 49.54 | 49.44 | 49.34 | |
40 | 50.4 | 50.11 | 50.15 | 50.16 | 50.14 | 50.10 | 50.3 | 49.53 | 49.44 | |
50 | 50.14 | 50.21 | 50.25 | 50.26 | 50.23 | 50.19 | 50.13 | 50.3 | 49.53 | |
56 | 0 | 50.23 | 50.31 | 50.35 | 50.36 | 50.33 | 50.29 | 50.22 | 50.13 | 50.2 |
10 | 50.33 | 50.41 | 50.44 | 50.45 | 50.42 | 50.38 | 50.32 | 50.22 | 50.12 | |
20 | 50.43 | 50.50 | 50.54 | 50.55 | 50.52 | 50.48 | 50.41 | 50.32 | 50.21 | |
30 | 50.53 | 51.0 | 51.4 | 51.5 | 51.2 | 50.57 | 50.51 | 50.41 | 50.31 | |
40 | 51.2 | 51.10 | 51.13 | 51.14 | 51.11 | 51.7 | 51.0 | 50.51 | 50.40 | |
50 | 51.12 | 51.20 | 51.23 | 51.24 | 51.21 | 51.16 | 51.10 | 51.0 | 50.50 | |
57 | 0 | 51.22 | 51.29 | 51.33 | 51.34 | 51.31 | 51.26 | 51.19 | 51.10 | 50.59 |
10 | 51.32 | 51.39 | 51.42 | 51.43 | 51.40 | 51.35 | 51.29 | 51.19 | 51.8 | |
20 | 51.42 | 51.49 | 51.52 | 51.53 | 51.50 | 51.45 | 51.38 | 51.29 | 51.18 | |
30 | 51.51 | 51.59 | 52.2 | 52.2 | 51.59 | 51.54 | 51.48 | 51.38 | 51.27 | |
40 | 52.1 | 52.8 | 52.11 | 52.12 | 52.9 | 52.4 | 51.57 | 51.47 | 51.37 | |
50 | 52.11 | 52.18 | 52.21 | 52.22 | 52.19 | 52.14 | 52.7 | 51.57 | 51.46 | |
58 | 0 | 52.21 | 52.28 | 52.31 | 52.31 | 52.28 | 52.23 | 52.16 | 52.6 | 51.55 |
10 | 52.30 | 52.38 | 52.41 | 52.41 | 52.38 | 52.33 | 52.26 | 52.16 | 52.5 | |
20 | 52.40 | 52.47 | 52.50 | 52.51 | 52.48 | 52.43 | 52.35 | 52.25 | 52.14 | |
30 | 52.50 | 52.57 | 53.0 | 53.0 | 52.57 | 52.52 | 52.45 | 52.35 | 52.23 | |
40 | 53.0 | 53.7 | 53.10 | 53.10 | 53.7 | 53.2 | 52.54 | 52.44 | 52.33 | |
50 | 53.10 | 53.17 | 53.19 | 53.20 | 53.17 | 53.11 | 53.4 | 52.54 | 52.42 | |
59 | 0 | 53.19 | 53.26 | 53.29 | 53.29 | 53.26 | 53.21 | 53.13 | 53.3 | 52.51 |
10 | 53.29 | 53.36 | 53.39 | 53.39 | 53.36 | 53.30 | 53.23 | 53.13 | 53.1 | |
20 | 53.39 | 53.46 | 53.49 | 53.49 | 53.46 | 53.40 | 53.32 | 53.22 | 53.10 | |
30 | 53.49 | 53.56 | 53.58 | 53.58 | 53.55 | 53.50 | 53.42 | 53.32 | 53.20 | |
40 | 53.58 | 54.5 | 54.8 | 54.8 | 54.5 | 53.59 | 53.51 | 53.41 | 53.29 | |
50 | 54.8 | 54.15 | 54.18 | 54.18 | 54.14 | 54.9 | 54.1 | 53.51 | 53.39 | |
60 | 0 | 54.18 | 54.25 | 54.28 | 54.27 | 54.24 | 54.18 | 54.10 | 54.0 | 53.48 |
10 | 54.28 | 54.35 | 54.37 | 54.37 | 54.34 | 54.28 | 54.20 | 54.9 | 53.57 | |
20 | 54.38 | 54.44 | 54.47 | 54.47 | 54.43 | 54.38 | 54.29 | 54.19 | 54.7 | |
30 | 54.47 | 54.54 | 54.57 | 54.56 | 54.53 | 54.47 | 54.39 | 54.28 | 54.16 | |
40 | 54.57 | 55.4 | 55.6 | 55.6 | 55.2 | 54.57 | 54.48 | 54.38 | 54.25 | |
50 | 55.7 | 55.14 | 55.16 | 55.16 | 55.12 | 55.6 | 54.58 | 54.47 | 54.35 | |
61 | 0 | 55.17 | 55.23 | 55.26 | 55.25 | 55.21 | 55.16 | 55.7 | 54.57 | 54.44 |
10 | 55.27 | 55.33 | 55.35 | 55.35 | 55.31 | 55.25 | 55.17 | 55.6 | 54.53 | |
20 | 55.36 | 55.43 | 55.45 | 55.45 | 55.41 | 55.35 | 55.26 | 55.15 | 55.3 | |
30 | 55.46 | 55.53 | 55.55 | 55.54 | 55.50 | 55.45 | 55.36 | 55.25 | 55.12 | |
40 | 55.56 | 56.2 | 56.4 | 56.4 | 56.0 | 55.54 | 55.45 | 55.34 | 55.21 | |
50 | 56.6 | 56.12 | 56.14 | 56.14 | 56.9 | 56.4 | 55.55 | 55.44 | 55.31 | |
62 | 0 | 56.16 | 56.22 | 56.24 | 56.23 | 56.19 | 56.13 | 56.4 | 55.53 | 55.40 |
B
[page] 10
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
21° | 22° | 23° | 24° | 25° | 26° | 27° | 28° | 29° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 47.2 | 46.48 | 46.33 | 46.18 | 46.0 | 45.42 | 45.22 | 45.1 | 44.39 |
10 | 47.11 | 46.57 | 46.42 | 46.27 | 46.9 | 45.51 | 45.31 | 45.10 | 44.48 | |
20 | 47.21 | 47.7 | 46.52 | 46.36 | 46.18 | 46.0 | 45.40 | 45.19 | 44.56 | |
30 | 47.30 | 47.16 | 47.1 | 46.45 | 46.27 | 46.9 | 45.49 | 45.27 | 45.5 | |
40 | 47.39 | 47.25 | 47.10 | 46.54 | 46.36 | 46.18 | 45.58 | 45.36 | 45.13 | |
50 | 47.49 | 47.34 | 47.19 | 47.3 | 46.45 | 46.27 | 46.7 | 45.45 | 45.22 | |
54 | 0 | 47.58 | 47.44 | 47.29 | 47.12 | 46.55 | 46.36 | 46.16 | 45.54 | 45.31 |
10 | 48.7 | 47.53 | 47.38 | 47.22 | 47.4 | 46.45 | 46.24 | 46.3 | 45.39 | |
20 | 48.17 | 48.2 | 47.47 | 47.31 | 47.13 | 46.54 | 46.33 | 46.12 | 45.48 | |
30 | 48.26 | 48.12 | 47.57 | 47.40 | 47.22 | 47.3 | 46.42 | 46.21 | 45.57 | |
40 | 48.35 | 48.21 | 48.6 | 47.49 | 47.31 | 47.12 | 46.51 | 46.29 | 46.6 | |
50 | 48.45 | 48.30 | 48.15 | 47.58 | 47.40 | 47.21 | 47.0 | 46.38 | 46.15 | |
55 | 0 | 48.54 | 48.39 | 48.24 | 48.7 | 47.49 | 47.30 | 47.9 | 46.47 | 46.24 |
10 | 49.4 | 48.49 | 48.33 | 48.16 | 47.58 | 47.39 | 47.18 | 46.56 | 46.32 | |
20 | 49.13 | 48.58 | 48.42 | 48.25 | 48.7 | 47.48 | 47.27 | 47.5 | 46.41 | |
30 | 49.22 | 49.7 | 48.52 | 48.35 | 48.17 | 47.57 | 47.36 | 47.13 | 46.50 | |
40 | 49.32 | 49.17 | 49.1 | 48.44 | 48.26 | 48.6 | 47.45 | 47.22 | 46.58 | |
50 | 49.41 | 49.26 | 49.10 | 48.53 | 48.35 | 48.15 | 47.54 | 47.31 | 47.7 | |
56 | 0 | 49.50 | 49.35 | 49.19 | 49.2 | 48.44 | 48.24 | 48.3 | 47.40 | 47.16 |
10 | 49.59 | 49.44 | 49.28 | 49.11 | 48.53 | 48.33 | 48.12 | 47.49 | 47.25 | |
20 | 50.9 | 49.54 | 49.38 | 49.20 | 49.2 | 48.42 | 48.20 | 47.58 | 47.34 | |
30 | 50.18 | 50.3 | 49.47 | 49.29 | 49.11 | 48.51 | 48.29 | 48.7 | 47.42 | |
40 | 50.27 | 50.12 | 49.56 | 49.39 | 49.20 | 49.0 | 48.38 | 48.15 | 47.51 | |
50 | 50.37 | 50.22 | 50.5 | 49.48 | 49.29 | 49.9 | 48.47 | 48.24 | 48.0 | |
57 | 0 | 50.46 | 50.31 | 50.14 | 49.57 | 49.38 | 49.18 | 48.56 | 48.33 | 48.9 |
10 | 50.55 | 50.40 | 50.23 | 50.6 | 49.47 | 49.27 | 49.5 | 48.42 | 48.17 | |
20 | 51.5 | 50.49 | 50.33 | 50.15 | 49.56 | 49.36 | 49.14 | 48.51 | 48.26 | |
30 | 51.14 | 50.59 | 50.42 | 50.24 | 50.5 | 49.45 | 49.23 | 49.0 | 48.35 | |
40 | 51.23 | 51.8 | 50.51 | 50.34 | 50.14 | 49.54 | 49.31 | 49.8 | 48.44 | |
50 | 51.33 | 51.17 | 51.1 | 50.43 | 50.23 | 50.3 | 49.40 | 49.17 | 48.52 | |
58 | 0 | 51.42 | 51.26 | 51.10 | 50.52 | 50.32 | 50.12 | 49.49 | 49.26 | 49.1 |
10 | 51.51 | 51.36 | 51.19 | 51.1 | 50.41 | 50.21 | 49.58 | 49.35 | 49.9 | |
20 | 52.1 | 51.45 | 51.28 | 51.10 | 50.50 | 50.30 | 50.7 | 49.44 | 49.18 | |
30 | 52.10 | 51.54 | 51.37 | 51.19 | 50.59 | 50.39 | 50.16 | 49.53 | 49.27 | |
40 | 52.19 | 52.4 | 51.47 | 51.29 | 51.9 | 50.47 | 50.25 | 50.1 | 49.36 | |
50 | 52.29 | 52.13 | 51.56 | 51.38 | 51.18 | 50.56 | 50.34 | 50.10 | 49.45 | |
59 | 0 | 52.38 | 52.22 | 52.5 | 51.47 | 51.27 | 51.5 | 50.43 | 50.19 | 49.54 |
10 | 52.47 | 52.31 | 52.14 | 51.56 | 51.36 | 51.14 | 50.51 | 50.28 | 50.2 | |
20 | 52.57 | 52.41 | 52.23 | 52.5 | 51.45 | 51.23 | 51.0 | 50.37 | 50.11 | |
30 | 53.6 | 52.50 | 52.32 | 52.14 | 51.54 | 51.32 | 51.9 | 50.46 | 50.20 | |
40 | 53.15 | 52.59 | 52.42 | 52.23 | 52.3 | 51.41 | 51.18 | 50.54 | 50.29 | |
50 | 53.25 | 53.9 | 52.51 | 52.32 | 52.12 | 51.50 | 51.27 | 51.3 | 50.37 | |
60 | 0 | 53.34 | 53.18 | 53.0 | 52.41 | 52.21 | 51.59 | 51.36 | 51.12 | 50.46 |
10 | 53.43 | 53.27 | 53.9 | 52.51 | 52.30 | 52.8 | 51.45 | 51.21 | 50.55 | |
20 | 53.53 | 53.36 | 53.18 | 53.0 | 52.39 | 52.17 | 51.54 | 51.30 | 51.4 | |
30 | 54.2 | 53.45 | 53.27 | 53.9 | 52.48 | 52.26 | 52.3 | 51.39 | 51.12 | |
40 | 54.11 | 53.55 | 53.37 | 53.18 | 52.57 | 52.35 | 52.12 | 51.47 | 51.21 | |
50 | 54.21 | 54.4 | 53.46 | 53.27 | 53.6 | 52.44 | 52.21 | 51.56 | 51.30 | |
61 | 0 | 54.30 | 54.13 | 53.55 | 53.36 | 53.15 | 52.53 | 52.30 | 52.5 | 51.39 |
10 | 54.39 | 54.22 | 54.4 | 53.45 | 53.25 | 53.2 | 52.38 | 52.14 | 51.47 | |
20 | 54.49 | 54.32 | 54.14 | 53.55 | 53.34 | 53.11 | 52.47 | 52.23 | 51.56 | |
30 | 54.58 | 54.41 | 54.23 | 54.4 | 53.43 | 53.20 | 52.56 | 52.32 | 52.5 | |
40 | 55.7 | 54.50 | 54.32 | 54.13 | 53.52 | 53.29 | 53.5 | 52.40 | 52.14 | |
50 | 55.17 | 55.0 | 54.42 | 54.22 | 54.1 | 53.38 | 53.14 | 52.49 | 52.22 | |
62 | 0 | 55.26 | 55.9 | 54.51 | 54.31 | 54.10 | 53.47 | 53.23 | 52.58 | 52.31 |
[page] 11
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
30° | 31° | 32° | 33° | 34° | 35° | 36° | 37° | 38° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 44.15 | 43.51 | 43.26 | 42.59 | 42.32 | 42.3 | 41.34 | 41.4 | 40.33 |
10 | 44.24 | 44.0 | 43.34 | 43.7 | 42.40 | 42.11 | 41.42 | 41.12 | 40.41 | |
20 | 44.33 | 44.8 | 43.43 | 43.16 | 42.48 | 42.19 | 41.50 | 41.20 | 40.49 | |
30 | 44.41 | 44.17 | 43.51 | 43.24 | 42.57 | 42.28 | 41.59 | 41.28 | 40.56 | |
40 | 44.50 | 44.26 | 44.0 | 43.33 | 43.5 | 42.36 | 42.7 | 41.36 | 41.4 | |
50 | 44.59 | 44.34 | 44.8 | 43.41 | 43.13 | 42.44 | 42.15 | 41.44 | 41.12 | |
54 | 0 | 45.7 | 44.43 | 44.16 | 43.50 | 43.22 | 42.53 | 42.23 | 41.52 | 41.20 |
10 | 45.16 | 44.51 | 44.25 | 43.58 | 43.30 | 43.1 | 42.32 | 42.0 | 41.28 | |
20 | 45.25 | 45.0 | 44.33 | 44.7 | 43.38 | 43.9 | 42.40 | 42.8 | 41.36 | |
30 | 45.33 | 45.8 | 44.42 | 44.15 | 43.47 | 43.18 | 42.48 | 42.16 | 41.43 | |
40 | 45.42 | 45.17 | 44.50 | 44.23 | 43.55 | 43.26 | 42.56 | 42.24 | 41.51 | |
50 | 45.51 | 45.25 | 44.59 | 44.32 | 44.3 | 43.34 | 43.4 | 42.32 | 41.59 | |
55 | 0 | 45.59 | 45.34 | 45.7 | 44.40 | 44.11 | 43.42 | 43.12 | 42.40 | 42.7 |
10 | 46.8 | 45.43 | 45.16 | 44.48 | 44.20 | 43.50 | 43.20 | 42.48 | 42.15 | |
20 | 46.17 | 45.51 | 45.24 | 44.57 | 44.28 | 43.58 | 43.28 | 42.56 | 42.23 | |
30 | 46.25 | 46.0 | 45.33 | 45.5 | 44.36 | 44.6 | 43.36 | 43.4 | 42.31 | |
40 | 46.34 | 46.8 | 45.41 | 45.13 | 44.45 | 44.15 | 43.44 | 43.12 | 42.39 | |
50 | 46.43 | 46.17 | 45.49 | 45.22 | 44.53 | 44.23 | 43.52 | 43.20 | 42.47 | |
56 | 0 | 46.51 | 46.25 | 45.58 | 45.30 | 45.1 | 44.31 | 44.0 | 43.28 | 42.55 |
10 | 47.0 | 46.34 | 46.6 | 45.39 | 45.9 | 44.39 | 44.8 | 43.36 | 43.2 | |
20 | 47.9 | 46.42 | 46.15 | 45.57 | 45.17 | 44.47 | 44.16 | 43.44 | 43.10 | |
30 | 47.17 | 46.51 | 46.23 | 45.55 | 45.26 | 44.55 | 44.24 | 43.52 | 43.18 | |
40 | 47.26 | 47.0 | 46.32 | 46.4 | 45.34 | 45.4 | 44.32 | 44.0 | 43.26 | |
50 | 47.35 | 47.8 | 46.40 | 46.12 | 45.42 | 45.12 | 44.40 | 44.8 | 43.34 | |
57 | 0 | 47.43 | 47.17 | 46.49 | 46.24 | 45.51 | 45.20 | 44.48 | 44.16 | 43.42 |
10 | 47.52 | 47.25 | 46.57 | 46.29 | 46.0 | 45.28 | 44.57 | 44.24 | 43.50 | |
20 | 48.1 | 47.34 | 47.6 | 46.38 | 46.8 | 45.36 | 45.5 | 44.32 | 43.58 | |
30 | 48.9 | 47.43 | 47.14 | 46.46 | 46.16 | 45.45 | 45.13 | 44.40 | 44.5 | |
40 | 48.18 | 47.51 | 47.23 | 46.54 | 46.25 | 45.53 | 45.21 | 44.47 | 44.13 | |
50 | 48.27 | 48.0 | 47.31 | 47.3 | 46.33 | 46.1 | 45.29 | 44.55 | 44.21 | |
58 | 0 | 48.35 | 48.8 | 47.40 | 47.11 | 46.41 | 46.9 | 45.37 | 45.3 | 44.29 |
10 | 48.44 | 48.17 | 47.48 | 47.19 | 46.49 | 46.17 | 45.45 | 45.11 | 44.37 | |
20 | 48.53 | 48.26 | 47.57 | 47.28 | 46.57 | 46.25 | 45.53 | 45.19 | 44.45 | |
30 | 49.1 | 48.34 | 48.5 | 47.36 | 47.6 | 46.33 | 46.1 | 45.27 | 44.53 | |
40 | 49.10 | 48.43 | 48.14 | 47.44 | 47.14 | 46.42 | 46.9 | 45.35 | 45.1 | |
50 | 49.19 | 48.52 | 48.22 | 47.53 | 47.22 | 46.50 | 46.17 | 45.43 | 45.8 | |
59 | 0 | 49.27 | 49.0 | 48.31 | 48.1 | 47.30 | 46.58 | 46.25 | 45.51 | 45.16 |
10 | 49.36 | 49.9 | 48.39 | 48.10 | 47.39 | 47.6 | 46.33 | 45.59 | 45.24 | |
20 | 49.45 | 49.17 | 48.48 | 48.18 | 47.47 | 47.14 | 46.41 | 46.7 | 45.32 | |
30 | 49.53 | 49.26 | 48.56 | 48.27 | 47.55 | 47.23 | 46.50 | 46.15 | 45.40 | |
40 | 50.2 | 49.34 | 49.5 | 48.35 | 48.4 | 47.31 | 46.58 | 46.23 | 45.48 | |
50 | 50.11 | 49.42 | 49.13 | 48.43 | 48.12 | 47.39 | 47.6 | 46.31 | 45.56 | |
60 | 0 | 50.19 | 49.51 | 49.22 | 48.52 | 48.20 | 47.47 | 47.14 | 46.39 | 46.4 |
10 | 50.28 | 49.59 | 49.30 | 49.0 | 48.29 | 47.55 | 47.22 | 46.47 | 46.11 | |
20 | 50.37 | 50.8 | 49.39 | 49.8 | 48.37 | 48.4 | 47.30 | 46.55 | 46.19 | |
30 | 50.45 | 50.17 | 49.47 | 49.17 | 48.45 | 48.12 | 47.38 | 47.3 | 46.27 | |
40 | 50.54 | 50.26 | 49.56 | 49.25 | 48.54 | 48.20 | 47.46 | 47.11 | 46.35 | |
50 | 51.3 | 50.34 | 50.4 | 49.34 | 49.2 | 48.28 | 47.54 | 47.19 | 46.43 | |
61 | 0 | 51.11 | 50.43 | 50.13 | 49.42 | 49.10 | 48.37 | 48.2 | 47.27 | 46.51 |
10 | 51.20 | 50.51 | 50.21 | 49.50 | 49.18 | 48.45 | 48.10 | 47.35 | 46.59 | |
20 | 51.29 | 51.0 | 50.30 | 49.59 | 49.27 | 48.53 | 48.18 | 47.43 | 47.7 | |
30 | 51.37 | 51.8 | 50.38 | 50.7 | 49.35 | 49.1 | 48.27 | 47.51 | 47.15 | |
40 | 51.46 | 51.17 | 50.47 | 50.15 | 49.43 | 49.9 | 48.35 | 47.59 | 47.23 | |
50 | 51.55 | 51.25 | 50.55 | 50.24 | 49.52 | 49.18 | 48.43 | 48.7 | 47.31 | |
62 | 0 | 52.3 | 51.34 | 51.4 | 50.32 | 50.0 | 49.26 | 48.51 | 48.15 | 47.39 |
B 2
[page] 12
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
39° | 40° | 41° | 42° | 43° | 44° | 45° | 46° | 47° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 40.1 | 39.28 | 38.54 | 38.20 | 37.44 | 37.8 | 36.32 | 35.54 | 35.16 |
10 | 40.8 | 39.36 | 39.2 | 38.27 | 37.51 | 37.15 | 36.39 | 36.1 | 35.22 | |
20 | 40.16 | 39.43 | 39.9 | 38.34 | 37.59 | 37.23 | 36.46 | 36.8 | 35.29 | |
30 | 40.24 | 39.51 | 39.17 | 38.42 | 38.6 | 37.30 | 36.53 | 36.15 | 35.36 | |
40 | 40.32 | 39.59 | 39.25 | 38.49 | 38.13 | 37.37 | 37.0 | 36.22 | 35.43 | |
50 | 40.39 | 40.6 | 39.32 | 38.57 | 38.21 | 37.44 | 37.7 | 36.29 | 35.50 | |
54 | 0 | 40.47 | 40.14 | 39.40 | 39.4 | 38.28 | 37.52 | 37.14 | 36.35 | 35.56 |
10 | 40.55 | 40.22 | 39.47 | 39.12 | 38.35 | 37.59 | 37.21 | 36.42 | 36.3 | |
20 | 41.3 | 40.29 | 39.55 | 39.19 | 38.43 | 38.6 | 37.28 | 36.49 | 36.10 | |
30 | 41.10 | 40.37 | 40.2 | 39.27 | 38.50 | 38.13 | 37.35 | 36.56 | 36.17 | |
40 | 41.18 | 40.45 | 40.10 | 39.34 | 38.57 | 38.20 | 37.42 | 37.3 | 36.24 | |
50 | 41.26 | 40.52 | 40.17 | 39.42 | 39.5 | 38.28 | 37.49 | 37.10 | 36.31 | |
55 | 0 | 41.34 | 41.0 | 40.25 | 39.49 | 39.12 | 38.35 | 37.56 | 37.17 | 36.37 |
10 | 41.42 | 41.8 | 40.32 | 39.57 | 39.19 | 38.42 | 38.4 | 37.24 | 36.44 | |
20 | 41.49 | 41.15 | 40.40 | 40.4 | 39.27 | 38.49 | 38.11 | 37.31 | 36.51 | |
30 | 41.57 | 41.23 | 40.47 | 40.12 | 39.34 | 38.56 | 38.18 | 37.38 | 36.58 | |
40 | 42.5 | 41.31 | 40.55 | 40.19 | 39.41 | 39.4 | 38.25 | 37.45 | 37.5 | |
50 | 42.13 | 41.38 | 41.2 | 40.27 | 39.49 | 39.11 | 38.32 | 37.52 | 37.12 | |
56 | 0 | 42.21 | 41.46 | 41.10 | 40.34 | 39.56 | 39.18 | 38.39 | 37.59 | 37.18 |
10 | 42.28 | 41.54 | 41.18 | 40.41 | 40.3 | 39.25 | 38.46 | 38.6 | 37.25 | |
20 | 42.36 | 42.1 | 41.25 | 40.49 | 40.11 | 39.32 | 38.53 | 38.13 | 37.32 | |
30 | 42.44 | 42.9 | 41.33 | 40.56 | 40.18 | 39.40 | 39.0 | 38.20 | 37.39 | |
40 | 42.52 | 42.17 | 41.41 | 41.3 | 40.25 | 39.47 | 39.7 | 38.27 | 37.46 | |
50 | 43.0 | 42.24 | 41.49 | 41.11 | 40.33 | 39.54 | 39.14 | 38.34 | 37.53 | |
57 | 0 | 43.7 | 42.32 | 41.56 | 41.18 | 40.40 | 40.1 | 39.21 | 38.41 | 37.59 |
10 | 43.15 | 42.40 | 42.4 | 41.26 | 40.47 | 40.8 | 39.29 | 38.47 | 38.6 | |
20 | 43.23 | 42.47 | 42.11 | 41.33 | 40.55 | 40.15 | 39.36 | 38.54 | 38.13 | |
30 | 43.31 | 42.55 | 42.19 | 41.40 | 41.2 | 40.23 | 39.43 | 39.1 | 38.20 | |
40 | 43.38 | 43.3 | 42.26 | 41.48 | 41.9 | 40.30 | 39.50 | 39.8 | 38.27 | |
50 | 43.46 | 43.10 | 42.34 | 41.55 | 41.17 | 40.37 | 39.57 | 39.15 | 38.34 | |
58 | 0 | 43.54 | 43.18 | 42.41 | 42.3 | 41.24 | 40.44 | 40.4 | 39.22 | 38.40 |
10 | 44.2 | 43.26 | 42.49 | 42.10 | 41.31 | 40.51 | 40.11 | 39.29 | 38.47 | |
20 | 44.9 | 43.33 | 42.56 | 42.17 | 41.39 | 40.59 | 40.18 | 39.36 | 38.54 | |
30 | 44.17 | 43.41 | 43.4 | 42.25 | 41.46 | 41.6 | 40.25 | 39.43 | 39.1 | |
40 | 44.25 | 43.49 | 43.11 | 42.32 | 41.53 | 41.13 | 40.32 | 39.50 | 39.8 | |
50 | 44.33 | 43.56 | 43.19 | 42.40 | 42.1 | 41.20 | 40.39 | 39.57 | 39.15 | |
59 | 0 | 44.41 | 44.4 | 43.26 | 42.47 | 42.8 | 41.27 | 40.46 | 40.4 | 39.21 |
10 | 44.48 | 44.12 | 43.34 | 42.54 | 42.15 | 41.35 | 40.54 | 40.11 | 39.28 | |
20 | 44.56 | 44.19 | 43.41 | 43.2 | 42.23 | 41.42 | 41.1 | 40.18 | 39.35 | |
30 | 45.4 | 44.27 | 43.49 | 43.9 | 42.30 | 41.49 | 41.8 | 40.25 | 39.42 | |
40 | 45.12 | 44.35 | 43.56 | 43.17 | 42.37 | 41.56 | 41.15 | 40.32 | 39.49 | |
50 | 45.20 | 44.42 | 44.4 | 43.24 | 42.44 | 42.3 | 41.22 | 40.39 | 39.56 | |
60 | 0 | 45.27 | 44.50 | 44.11 | 43.32 | 42.52 | 42.11 | 41.29 | 40.46 | 40.2 |
10 | 45.35 | 44.58 | 44.19 | 43.39 | 42.59 | 42.18 | 41.36 | 40.52 | 40.9 | |
20 | 45.43 | 45.5 | 44.27 | 43.47 | 43.6 | 42.25 | 41.43 | 40.59 | 40.16 | |
30 | 45.51 | 45.13 | 44.34 | 43.54 | 43.14 | 42.32 | 41.50 | 41.6 | 40.23 | |
40 | 45.59 | 45.21 | 44.42 | 44.2 | 43.21 | 42.39 | 41.57 | 41.13 | 40.30 | |
50 | 46.6 | 45.28 | 44.49 | 44.9 | 43.28 | 42.47 | 41.4 | 41.20 | 40.37 | |
61 | 0 | 46.14 | 45.36 | 44.57 | 44.17 | 43.36 | 42.54 | 42.11 | 41.27 | 40.43 |
10 | 46.22 | 45.44 | 45.4 | 44.24 | 43.43 | 43.1 | 42.18 | 41.34 | 40.50 | |
20 | 46.30 | 45.51 | 45.12 | 44.31 | 43.50 | 43.8 | 42.25 | 41.41 | 40.57 | |
30 | 46.38 | 45.59 | 45.19 | 44.39 | 43.58 | 43.15 | 42.32 | 41.48 | 41.4 | |
40 | 46.45 | 46.7 | 45.27 | 44.46 | 44.5 | 43.23 | 42.39 | 41.55 | 41.11 | |
50 | 46.53 | 46.14 | 45.34 | 44.54 | 44.12 | 43.30 | 42.46 | 42.2 | 41.18 | |
62 | 0 | 47.1 | 46.22 | 45.42 | 45.1 | 44.19 | 43.37 | 42.53 | 42.9 | 41.24 |
[page] 13
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
48° | 49° | 50° | 51° | 52° | 53° | 54° | 55° | 56° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 34.37 | 33.57 | 33.16 | 32.35 | 31.54 | 31.11 | 30.28 | 29.44 | 29.0 |
10 | 34.43 | 34.4 | 33.22 | 32.41 | 32.0 | 31.17 | 30.34 | 29.50 | 29.6 | |
20 | 34.50 | 34.10 | 33.29 | 32.47 | 32.6 | 31.23 | 30.40 | 29.56 | 29.11 | |
30 | 34.56 | 34.17 | 33.35 | 32.54 | 32.12 | 31.29 | 30.46 | 30.1 | 29.17 | |
40 | 35.3 | 34.23 | 33.42 | 33.0 | 32.18 | 31.35 | 30.52 | 30.7 | 29.22 | |
50 | 35.10 | 34.30 | 33.48 | 33.6 | 32.24 | 31.41 | 30.58 | 30.13 | 29.28 | |
54 | 0 | 35.17 | 34.36 | 33.55 | 33.13 | 32.30 | 31.47 | 31.3 | 30.19 | 29.33 |
10 | 35.23 | 34.43 | 34.1 | 33.19 | 32.37 | 31.53 | 31.9 | 30.24 | 29.39 | |
20 | 35.30 | 34.49 | 34.8 | 33.25 | 32.43 | 31.59 | 31.15 | 30.30 | 29.45 | |
30 | 35.37 | 34.56 | 34.14 | 33.32 | 32.49 | 32.5 | 31.21 | 30.36 | 29.50 | |
40 | 35.43 | 35.2 | 34.21 | 33.38 | 32.55 | 32.11 | 31.27 | 30.42 | 29.56 | |
50 | 35.50 | 35.9 | 34.27 | 33.44 | 33.1 | 32.17 | 31.33 | 30.47 | 30.1 | |
55 | 0 | 35.57 | 35.16 | 34.34 | 33.51 | 33.7 | 32.23 | 31.39 | 30.53 | 30.7 |
10 | 36.3 | 35.22 | 34.40 | 33.57 | 33.14 | 32.29 | 31.44 | 30.59 | 30.12 | |
20 | 36.10 | 35.29 | 34.47 | 34.3 | 33.20 | 32.35 | 31.50 | 31.4 | 30.18 | |
30 | 36.17 | 35.35 | 34.53 | 34.10 | 33.26 | 32.41 | 31.56 | 31.10 | 30.24 | |
40 | 36.23 | 35.42 | 34.59 | 34.16 | 33.32 | 32.47 | 32.2 | 31.16 | 30.29 | |
50 | 36.30 | 35.48 | 35.6 | 34.22 | 33.38 | 32.53 | 32.8 | 31.22 | 30.35 | |
56 | 0 | 36.37 | 35.55 | 35.12 | 34.29 | 33.44 | 32.59 | 32.14 | 31.28 | 30.41 |
10 | 36.43 | 36.1 | 35.19 | 34.35 | 33.51 | 33.6 | 32.20 | 31.33 | 30.46 | |
20 | 36.50 | 36.8 | 35.25 | 34.41 | 33.57 | 33.12 | 32.26 | 31.39 | 30.52 | |
30 | 36.57 | 36.14 | 35.31 | 34.48 | 34.3 | 33.18 | 32.31 | 31.45 | 30.57 | |
40 | 37.3 | 36.21 | 35.38 | 34.54 | 34.9 | 33.24 | 32.37 | 31.50 | 31.3 | |
50 | 37.10 | 36.28 | 35.44 | 35.0 | 34.15 | 33.30 | 32.43 | 31.56 | 31.8 | |
57 | 0 | 37.17 | 36.34 | 35.51 | 35.6 | 34.21 | 33.36 | 32.49 | 32.2 | 31.14 |
10 | 37.23 | 36.41 | 35.57 | 35.12 | 34.28 | 33.42 | 32.55 | 32.8 | 31.19 | |
20 | 37.30 | 36.47 | 36.3 | 35.19 | 34.34 | 33.48 | 33.1 | 32.13 | 31.25 | |
30 | 37.37 | 36.54 | 36.10 | 35.25 | 34.40 | 33.54 | 33.7 | 32.19 | 31.31 | |
40 | 37.43 | 37.1 | 36.16 | 35.31 | 34.46 | 34.0 | 33.13 | 32.25 | 31.36 | |
50 | 37.50 | 37.7 | 36.22 | 35.37 | 34.52 | 34.6 | 33.18 | 32.30 | 31.42 | |
58 | 0 | 37.57 | 37.14 | 36.29 | 35.44 | 34.58 | 34.12 | 33.24 | 32.36 | 31.48 |
10 | 38.3 | 37.20 | 36.35 | 35.50 | 35.5 | 34.18 | 33.30 | 32.42 | 31.53 | |
20 | 38.10 | 37.27 | 36.42 | 35.56 | 35.11 | 34.24 | 33.36 | 32.48 | 31.59 | |
30 | 38.17 | 37.33 | 36.48 | 36.3 | 35.17 | 34.30 | 33.42 | 32.53 | 32.4 | |
40 | 38.23 | 37.40 | 36.55 | 36.9 | 35.23 | 34.36 | 33.48 | 32.59 | 32.10 | |
50 | 38.30 | 37.46 | 37.1 | 36.15 | 35.29 | 34.42 | 33.54 | 33.5 | 32.15 | |
59 | 0 | 38.37 | 37.53 | 37.8 | 36.22 | 35.35 | 34.48 | 34.0 | 33.11 | 32.21 |
10 | 38.43 | 37.59 | 37.14 | 36.28 | 35.42 | 34.54 | 34.5 | 33.16 | 32.27 | |
20 | 38.50 | 38.6 | 37.21 | 36.34 | 35.48 | 35.0 | 34.11 | 33.22 | 32.32 | |
30 | 38.57 | 38.13 | 37.27 | 36.41 | 35.54 | 35.6 | 34.17 | 33.28 | 32.38 | |
40 | 39.4 | 38.19 | 37.33 | 36.47 | 36.0 | 35.12 | 34.23 | 33.33 | 32.43 | |
50 | 39.11 | 38.26 | 37.40 | 36.53 | 36.6 | 35.18 | 34.29 | 33.39 | 32.49 | |
60 | 0 | 39.18 | 38.32 | 37.46 | 37.0 | 36.12 | 35.24 | 34.35 | 33.45 | 32.55 |
10 | 39.24 | 38.39 | 37.53 | 37.6 | 36.19 | 35.30 | 34.40 | 33.51 | 33.0 | |
20 | 39.31 | 38.45 | 37.59 | 37.12 | 36.25 | 35.36 | 34.46 | 33.57 | 33.6 | |
30 | 39.38 | 38.52 | 38.6 | 37.18 | 36.31 | 35.42 | 34.52 | 34.2 | 33.11 | |
40 | 39.44 | 38.59 | 38.12 | 37.25 | 36.37 | 35.48 | 34.58 | 34.8 | 33.17 | |
50 | 39.51 | 39.5 | 38.19 | 37.31 | 36.43 | 35.54 | 35.4 | 34.14 | 33.22 | |
61 | 0 | 39.58 | 39.12 | 38.25 | 37.37 | 36.49 | 36.0 | 35.10 | 34.20 | 33.28 |
10 | 40.4 | 39.18 | 38.32 | 37.44 | 36.56 | 36.6 | 35.15 | 34.25 | 33.34 | |
20 | 40.11 | 39.25 | 38.38 | 37.50 | 37.2 | 36.12 | 35.21 | 34.31 | 33.39 | |
30 | 40.18 | 39.31 | 38.44 | 37.56 | 37.8 | 36.18 | 35.27 | 34.37 | 33.45 | |
40 | 40.24 | 39.38 | 38.50 | 38.3 | 37.14 | 36.24 | 35.33 | 34.42 | 33.50 | |
50 | 40.31 | 39.44 | 38.57 | 38.9 | 37.20 | 36.30 | 35.39 | 34.48 | 33.56 | |
62 | 0 | 40.38 | 39.51 | 39.3 | 38.15 | 37.26 | 36.36 | 35.45 | 34.54 | 34.2 |
[page] 14
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
57° | 58° | 59° | 60° | 61° | 62° | 63° | 64° | 65° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 28.15 | 27.30 | 26.44 | 25.57 | 25.10 | 24.22 | 23.35 | 22.46 | 21.57 |
10 | 28.20 | 27.35 | 26.49 | 26.2 | 25.15 | 24.27 | 23.39 | 22.50 | 22.1 | |
20 | 28.26 | 27.40 | 26.54 | 26.7 | 25.20 | 24.32 | 23.44 | 22.55 | 22.5 | |
30 | 28.31 | 27.46 | 26.59 | 26.12 | 25.25 | 24.36 | 23.48 | 22.59 | 22.10 | |
40 | 28.37 | 27.51 | 27.4 | 26.17 | 25.30 | 24.41 | 23.53 | 23.3 | 22.14 | |
50 | 28.42 | 27.56 | 27.9 | 26.22 | 25.35 | 24.46 | 23.57 | 23.8 | 22.18 | |
54 | 0 | 28.48 | 28.1 | 27.14 | 26.27 | 25.39 | 24.51 | 24.2 | 23.12 | 22.23 |
10 | 28.53 | 28.7 | 27.20 | 26.32 | 25.44 | 24.55 | 24.6 | 23.17 | 22.27 | |
20 | 28.59 | 28.12 | 27.25 | 26.37 | 25.49 | 25.0 | 24.11 | 23.21 | 22.31 | |
30 | 29.4 | 28.17 | 27.30 | 26.42 | 25.54 | 25.5 | 24.15 | 23.26 | 22.36 | |
40 | 29.9 | 28.23 | 27.35 | 26.47 | 25.59 | 25.9 | 24.20 | 23.30 | 22.40 | |
50 | 29.15 | 28.28 | 27.40 | 26.52 | 26.3 | 25.14 | 24.24 | 23.34 | 22.44 | |
55 | 0 | 19.20 | 28.33 | 27.45 | 26.57 | 26.8 | 25.19 | 24.29 | 23.39 | 22.48 |
10 | 29.26 | 28.38 | 27.50 | 27.2 | 26.13 | 25.23 | 24.33 | 23.43 | 22.52 | |
20 | 29.31 | 28.44 | 27.56 | 27.7 | 26.18 | 25.28 | 24.38 | 23.47 | 22.57 | |
30 | 29.36 | 28.49 | 28.1 | 27.12 | 26.23 | 25.32 | 24.42 | 23.52 | 23.1 | |
40 | 29.42 | 28.54 | 28.6 | 27.17 | 26.28 | 25.37 | 24.47 | 23.56 | 23.5 | |
50 | 29.47 | 29.0 | 28.11 | 27.22 | 26.33 | 25.42 | 24.51 | 24.0 | 23.9 | |
56 | 0 | 29.53 | 29.5 | 28.16 | 27.27 | 26.37 | 25.47 | 24.56 | 24.5 | 23.13 |
10 | 29.58 | 29.10 | 28.22 | 27.32 | 26.42 | 25.54 | 25.0 | 24.9 | 23.18 | |
20 | 30.4 | 29.16 | 28.27 | 27.37 | 26.47 | 25.56 | 25.5 | 24.13 | 23.22 | |
30 | 30.9 | 29.21 | 28.32 | 27.42 | 26.52 | 26.1 | 25.9 | 24.18 | 23.20 | |
40 | 30.15 | 29.26 | 28.37 | 27.47 | 26.57 | 26.5 | 25.14 | 24.22 | 23.31 | |
50 | 30.20 | 29.31 | 28.42 | 27.52 | 27.2 | 26.10 | 25.19 | 24.26 | 23.35 | |
57 | 0 | 30.26 | 29.37 | 28.47 | 27.57 | 27.6 | 26.15 | 25.23 | 24.31 | 23.39 |
10 | 30.31 | 29.42 | 28.53 | 28.2 | 27.11 | 26.19 | 25.28 | 24.35 | 23.43 | |
20 | 30.37 | 29.47 | 28.58 | 28.7 | 27.16 | 26.24 | 25.32 | 24.40 | 23.47 | |
30 | 30.42 | 29.53 | 29.3 | 28.12 | 27.21 | 26.29 | 25.37 | 24.44 | 23.52 | |
40 | 30.47 | 29.58 | 29.8 | 28.17 | 27.26 | 26.33 | 25.42 | 24.49 | 23.56 | |
50 | 30.53 | 30.3 | 29.13 | 28.22 | 27.31 | 26.38 | 25.46 | 24.53 | 24.0 | |
58 | 0 | 30.58 | 30.9 | 29.18 | 28.27 | 27.35 | 26.43 | 25.51 | 24.58 | 24.4 |
10 | 31.4 | 30.14 | 29.24 | 28.32 | 27.40 | 26.47 | 25.55 | 25.2 | 24.8 | |
20 | 31.9 | 30.19 | 29.29 | 28.37 | 27.45 | 26.52 | 26.0 | 25.6 | 24.13 | |
30 | 31.15 | 30.24 | 29.34 | 28.42 | 27.50 | 26.57 | 26.4 | 25.11 | 24.17 | |
40 | 31.20 | 30.30 | 29.39 | 28.47 | 27.55 | 27.1 | 26.9 | 25.15 | 24.21 | |
50 | 31.26 | 30.35 | 29.44 | 28.52 | 28.0 | 27.6 | 26.13 | 25.19 | 24.25 | |
59 | 0 | 31.31 | 30.40 | 29.49 | 28.57 | 28.4 | 27.11 | 26.18 | 25.24 | 24.30 |
10 | 31.37 | 30.45 | 29.55 | 29.2 | 28.9 | 27.15 | 26.22 | 25.28 | 24.34 | |
20 | 31.42 | 30.51 | 30.0 | 29.7 | 28.14 | 27.20 | 26.27 | 25.32 | 24.38 | |
30 | 31.48 | 30.56 | 30.5 | 29.12 | 28.19 | 27.25 | 26.31 | 25.37 | 24.42 | |
40 | 31.53 | 31.1 | 30.10 | 29.17 | 28.24 | 27.30 | 26.36 | 25.41 | 24.47 | |
50 | 31.58 | 31.6 | 30.15 | 29.22 | 28.29 | 27.35 | 26.40 | 25.45 | 24.51 | |
60 | 0 | 32.4 | 31.12 | 30.20 | 29.27 | 28.34 | 27.40 | 26.45 | 25.50 | 24.55 |
10 | 32.9 | 31.17 | 30.26 | 29.32 | 28.39 | 27.44 | 26.49 | 25.54 | 24.59 | |
20 | 32.15 | 31.22 | 30.31 | 29.37 | 28.44 | 27.49 | 26.54 | 25.59 | 25.3 | |
30 | 32.20 | 31.28 | 30.36 | 29.42 | 28.49 | 27.54 | 26.58 | 26.3 | 25.8 | |
40 | 32.26 | 31.33 | 30.41 | 29.47 | 28.54 | 27.58 | 27.3 | 26.8 | 25.12 | |
50 | 32.31 | 31.38 | 30.46 | 29.52 | 28.59 | 28.3 | 27.8 | 26.12 | 25.16 | |
61 | 0 | 32.36 | 31.44 | 30.51 | 29.57 | 29.3 | 28.8 | 27.12 | 2.17 | 25.20 |
10 | 32.42 | 31.49 | 30.57 | 30.2 | 29.8 | 28.12 | 27.17 | 26.21 | 25.24 | |
20 | 32.47 | 31.54 | 31.2 | 30.7 | 29.13 | 28.17 | 27.21 | 26.26 | 25.29 | |
30 | 32.53 | 32.0 | 31.7 | 30.12 | 29.18 | 28.22 | 27.26 | 26.30 | 25.33 | |
40 | 32.58 | 32.5 | 31.12 | 30.17 | 29.23 | 28.26 | 27.31 | 26.34 | 25.37 | |
50 | 33.4 | 32.10 | 31.17 | 30.22 | 29.28 | 28.31 | 27.35 | 26.39 | 25.41 | |
62 | 0 | 33.9 | 22.16 | 31.22 | 30.27 | 29.32 | 28.36 | 27.40 | 26.43 | 25.46 |
[page] 15
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
66° | 67° | 68° | 69° | 70° | 71° | 72° | 73° | 74° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 21.8 | 20.18 | 19.28 | 18.38 | 17.47 | 16.56 | 16.4 | 15.12 | 14.20 |
10 | 21.12 | 20.22 | 19.32 | 18.41 | 17.50 | 16.59 | 16.7 | 15.15 | 14.23 | |
20 | 21.16 | 20.26 | 19.35 | 18.45 | 17.54 | 17.3 | 16.10 | 15.18 | 14.26 | |
30 | 21.20 | 20.30 | 19.39 | 18.48 | 17.57 | 17.6 | 16.13 | 15.21 | 14.28 | |
40 | 21.24 | 20.34 | 19.43 | 18.52 | 18.0 | 17.9 | 16.16 | 15.24 | 14.31 | |
50 | 21.28 | 20.38 | 19.47 | 18.55 | 18.4 | 17.12 | 16.20 | 15.27 | 14.34 | |
54 | 0 | 21.32 | 20.42 | 19.51 | 18.59 | 18.7 | 17.15 | 16.23 | 15.30 | 14.37 |
10 | 21.36 | 20.46 | 19.54 | 19.3 | 18.11 | 17.19 | 16.26 | 15.33 | 14.40 | |
20 | 21.40 | 20.50 | 19.58 | 19.6 | 18.14 | 17.22 | 16.29 | 15.36 | 14.42 | |
30 | 21.45 | 20.53 | 20.2 | 19.10 | 18.18 | 17.25 | 16.32 | 15.38 | 14.45 | |
40 | 21.49 | 20.57 | 20.6 | 19.14 | 18.21 | 17.28 | 16.35 | 15.41 | 14.48 | |
50 | 21.53 | 21.1 | 20.10 | 19.17 | 18.24 | 17.32 | 16.38 | 15.44 | 14.51 | |
55 | 0 | 21.57 | 21.5 | 20.13 | 19.21 | 18.28 | 17.35 | 16.41 | 15.47 | 14.53 |
10 | 22.1 | 21.9 | 20.17 | 19.24 | 18.31 | 17.38 | 16.44 | 15.50 | 14.56 | |
20 | 22.5 | 21.13 | 20.21 | 19.28 | 18.34 | 17.41 | 16.47 | 15.53 | 14.59 | |
30 | 22.9 | 21.17 | 20.24 | 19.31 | 18.38 | 17.44 | 16.51 | 15.56 | 15.1 | |
40 | 22.13 | 21.21 | 20.28 | 19.35 | 18.42 | 17.48 | 16.54 | 15.59 | 15.4 | |
50 | 22.17 | 21.25 | 20.32 | 19.39 | 18.45 | 17.51 | 16.57 | 16.2 | 15.7 | |
56 | 0 | 22.21 | 21.29 | 20.36 | 19.42 | 18.49 | 17.54 | 17.0 | 16.5 | 15.10 |
10 | 22.25 | 21.33 | 20.39 | 19.46 | 18.52 | 17.58 | 17.3 | 16.8 | 15.13 | |
20 | 22.29 | 21.37 | 20.43 | 19.49 | 18.55 | 18.1 | 17.6 | 16.11 | 15.15 | |
30 | 22.34 | 21.40 | 20.47 | 19.53 | 18.59 | 18.4 | 17.9 | 16.14 | 15.18 | |
40 | 22.38 | 21.44 | 20.50 | 19.57 | 19.2 | 18.7 | 17.12 | 16.17 | 15.21 | |
50 | 22.42 | 21.48 | 20.54 | 20.0 | 19.5 | 18.11 | 17.15 | 16.20 | 15.24 | |
57 | 0 | 22.46 | 21.52 | 20.58 | 20.4 | 19.9 | 18.14 | 17.18 | 16.23 | 15.26 |
10 | 22.50 | 21.56 | 21.2 | 20.7 | 19.12 | 18.17 | 17.21 | 16.26 | 15.29 | |
20 | 22.54 | 22.0 | 21.6 | 20.11 | 19.16 | 18.21 | 17.25 | 16.29 | 15.32 | |
30 | 22.58 | 22.4 | 21.9 | 20.15 | 19.19 | 18.24 | 17.28 | 16.32 | 15.35 | |
40 | 23.2 | 22.8 | 21.13 | 20.18 | 19.23 | 18.27 | 17.31 | 16.34 | 15.37 | |
50 | 23.6 | 22.12 | 21.17 | 20.22 | 19.26 | 18.30 | 17.34 | 16.37 | 15.40 | |
58 | 0 | 23.10 | 22.16 | 21.21 | 20.25 | 19.30 | 18.33 | 17.37 | 16.40 | 15.43 |
10 | 23.14 | 22.20 | 21.24 | 20.29 | 19.33 | 18.37 | 17.40 | 16.43 | 15.46 | |
20 | 23.18 | 22.24 | 21.28 | 20.32 | 19.36 | 18.40 | 17.43 | 16.46 | 15.49 | |
30 | 23.22 | 22.27 | 21.32 | 20.36 | 19.40 | 18.43 | 17.46 | 16.49 | 15.51 | |
40 | 23.26 | 22.31 | 21.35 | 20.40 | 19.43 | 18.46 | 17.49 | 16.52 | 15.54 | |
50 | 23.30 | 22.35 | 21.39 | 20.43 | 19.47 | 18.50 | 17.52 | 16.55 | 15.57 | |
59 | 0 | 23.34 | 22.39 | 21.43 | 20.47 | 19.50 | 18.53 | 17.55 | 16.58 | 16.0 |
10 | 23.39 | 22.43 | 21.47 | 20.50 | 19.54 | 18.56 | 17.59 | 17.1 | 16.2 | |
20 | 23.43 | 22.47 | 21.50 | 20.54 | 19.57 | 18.59 | 18.2 | 17.3 | 16.5 | |
30 | 23.47 | 22.51 | 21.54 | 20.57 | 20.1 | 19.3 | 18.5 | 17.6 | 16.8 | |
40 | 23.51 | 22.55 | 21.58 | 21.1 | 20.4 | 19.6 | 18.8 | 17.9 | 16.11 | |
50 | 23.55 | 22.58 | 22.2 | 21.4 | 20.7 | 19.9 | 18.11 | 17.12 | 16.13 | |
60 | 0 | 23.59 | 23.2 | 22.6 | 21.8 | 20.11 | 19.12 | 18.14 | 17.15 | 16.16 |
10 | 24.3 | 23.6 | 22.9 | 21.12 | 20.14 | 19.15 | 18.17 | 17.18 | 16.19 | |
20 | 24.7 | 23.10 | 22.13 | 21.15 | 20.18 | 19.19 | 18.20 | 17.21 | 16.22 | |
30 | 24.11 | 23.14 | 22.17 | 21.19 | 20.21 | 19.22 | 18.24 | 17.24 | 16.24 | |
40 | 24.15 | 23.18 | 22.21 | 21.22 | 20.24 | 19.25 | 18.27 | 17.27 | 16.27 | |
50 | 24.19 | 23.22 | 22.24 | 21.26 | 20.28 | 19.29 | 18.30 | 17.30 | 16.30 | |
61 | 0 | 24.23 | 23.26 | 22.28 | 21.30 | 20.31 | 19.32 | 18.33 | 17.33 | 16.33 |
10 | 24.27 | 23.30 | 22.32 | 21.33 | 20.35 | 19.35 | 18.36 | 17.36 | 16.35 | |
20 | 24.31 | 23.33 | 22.36 | 21.37 | 20.39 | 19.39 | 18.39 | 17.39 | 16.38 | |
30 | 24.35 | 23.37 | 22.39 | 21.40 | 20.42 | 19.42 | 18.42 | 17.41 | 16.41 | |
40 | 24.39 | 23.41 | 22.43 | 21.44 | 20.46 | 19.45 | 18.45 | 17.44 | 16.44 | |
50 | 24.44 | 23.45 | 22.47 | 21.47 | 20.49 | 19.48 | 18.48 | 17.47 | 16.46 | |
62 | 0 | 24.48 | 23.49 | 22.51 | 21.51 | 20.52 | 19.52 | 18.51 | 17.50 | 16.49 |
[page] 16
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
75° | 76° | 77° | 78° | 79° | 80° | 81° | 82° | 83° | ||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | ||
M | S | M S | M S | M S | M S | M S | M S | M S | M S | M S |
53 | 0 | 13.28 | 12.35 | 11.42 | 10.49 | 9.55 | 9.2 | 8.8 | 7.15 | 6.21 |
10 | 13.30 | 12.37 | 11.44 | 10.51 | 9.57 | 9.3 | 8.9 | 7.16 | 6.22 | |
20 | 13.33 | 12.40 | 11.46 | 10.53 | 9.59 | 9.5 | 8.11 | 7.18 | 6.23 | |
30 | 13.35 | 12.42 | 11.49 | 10.55 | 10.1 | 9.7 | 8.13 | 7.19 | 6.25 | |
40 | 13.38 | 12.45 | 11.51 | 10.57 | 10.3 | 9.9 | 8.14 | 7.20 | 6.26 | |
50 | 13.40 | 12.47 | 11.53 | 10.59 | 10.5 | 9.11 | 8.16 | 7.22 | 6.27 | |
54 | 0 | 13.43 | 12.50 | 11.56 | 11.2 | 10.7 | 9.13 | 8.18 | 7.23 | 6.28 |
10 | 13.45 | 12.52 | 11.58 | 11.4 | 10.9 | 9.14 | 8.19 | 7.25 | 6.29 | |
20 | 13.48 | 12.54 | 12.0 | 11.6 | 10.11 | 9.16 | 8.21 | 7.26 | 6.30 | |
30 | 13.51 | 12.57 | 12.2 | 11.8 | 10.13 | 9.18 | 8.22 | 7.28 | 6.32 | |
40 | 13.54 | 22.59 | 12.5 | 11.10 | 10.15 | 9.20 | 8.24 | 7.29 | 6.33 | |
50 | 13.56 | 13.2 | 12.7 | 11.2 | 10.17 | 9.21 | 8.25 | 7.30 | 6.34 | |
55 | 0 | 13.59 | 13.4 | 12.9 | 11.14 | 10.19 | 9.23 | 8.27 | 7.31 | 6.35 |
10 | 14.1 | 13.7 | 12.12 | 11.16 | 10.20 | 9.25 | 8.29 | 7.33 | 6.36 | |
20 | 14.4 | 13.9 | 12.14 | 11.18 | 10.22 | 9.26 | 8.30 | 7.34 | 6.38 | |
30 | 14.6 | 13.11 | 12.16 | 11.21 | 10.24 | 9.28 | 8.31 | 7.36 | 6.39 | |
40 | 14.9 | 13.14 | 12.19 | 11.23 | 10.26 | 9.30 | 8.33 | 7.37 | 6.40 | |
50 | 14.11 | 13.16 | 12.21 | 11.25 | 10.28 | 9.32 | 8.35 | 7.39 | 6.41 | |
56 | 0 | 14.14 | 13.19 | 12.23 | 11.27 | 10.30 | 9.33 | 8.37 | 7.40 | 6.42 |
10 | 14.17 | 13.21 | 12.25 | 11.29 | 10.32 | 9.35 | 8.38 | 7.41 | 6.44 | |
20 | 14.19 | 13.23 | 12.28 | 11.31 | 10.34 | 9.37 | 8.39 | 7.42 | 6.45 | |
30 | 14.22 | 13.26 | 12.30 | 11.33 | 10.36 | 9.38 | 8.41 | 7.44 | 6.46 | |
40 | 14.24 | 13.28 | 12.32 | 11.35 | 10.38 | 9.40 | 8.42 | 7.45 | 6.47 | |
50 | 14.27 | 13.31 | 12.34 | 11.37 | 10.40 | 9.42 | 8.44 | 7.47 | 6.48 | |
57 | 0 | 14.30 | 13.33 | 12.36 | 11.39 | 10.42 | 9.44 | 8.46 | 7.48 | 6.50 |
10 | 14.32 | 13.36 | 12.39 | 11.41 | 10.43 | 9.46 | 8.47 | 7.49 | 6.52 | |
20 | 14.35 | 13.38 | 12.41 | 11.43 | 10.45 | 9.47 | 8.48 | 7.51 | 6.53 | |
30 | 14.38 | 13.41 | 12.43 | 11.45 | 10.47 | 9.49 | 8.50 | 7.52 | 6.54 | |
40 | 14.40 | 13.43 | 12.45 | 11.47 | 10.49 | 9.51 | 8.51 | 7.53 | 6.55 | |
50 | 14.43 | 13.46 | 12.48 | 11.49 | 10.51 | 9.53 | 8.53 | 7.55 | 6.56 | |
58 | 0 | 14.46 | 13.48 | 12.50 | 11.51 | 10.53 | 9.54 | 8.55 | 7.56 | 6.57 |
10 | 14.48 | 13.50 | 12.52 | 11.54 | 10.55 | 9.56 | 8.56 | 7.57 | 6.59 | |
20 | 14.51 | 13.53 | 12.54 | 11.56 | 10.57 | 9.58 | 8.57 | 7.59 | 7.0 | |
30 | 14.53 | 13.55 | 12.57 | 11.58 | 10.58 | 9.59 | 8.59 | 8.0 | 7.1 | |
40 | 14.56 | 13.57 | 12.59 | 12.0 | 11.0 | 10.1 | 9.1 | 8.2 | 7.2 | |
50 | 14.58 | 13.59 | 13.1 | 12.2 | 11.2 | 10.3 | 9.3 | 8.3 | 7.3 | |
59 | 0 | 15.1 | 14.2 | 13.3 | 12.4 | 11.4 | 10.5 | 9.5 | 8.5 | 7.4 |
10 | 15.4 | 14.5 | 13.5 | 12.6 | 11.6 | 10.6 | 9.6 | 8.6 | 7.6 | |
20 | 15.6 | 14.7 | 13.8 | 12.8 | 11.8 | 10.8 | 9.8 | 8.7 | 7.7 | |
30 | 15.9 | 14.10 | 13.10 | 12.10 | 11.10 | 10.10 | 9.9 | 8.9 | 7.8 | |
40 | 15.12 | 14.12 | 13.12 | 12.12 | 11.12 | 10.11 | 9.11 | 8.10 | 7.9 | |
50 | 15.14 | 14.15 | 13.14 | 12.14 | 11.14 | 10.13 | 9.12 | 8.12 | 7.10 | |
60 | 0 | 15.17 | 14.17 | 13.17 | 12.16 | 11.16 | 10.15 | 9.14 | 8.13 | 7.12 |
10 | 15.19 | 14.19 | 13.19 | 12.19 | 11.18 | 10.17 | 9.16 | 8.14 | 7.13 | |
20 | 15.22 | 14.22 | 13.21 | 12.21 | 11.20 | 10.18 | 9.17 | 8.16 | 7.14 | |
30 | 15.25 | 14.24 | 13.23 | 12.23 | 11.21 | 10.20 | 9.19 | 8.17 | 7.15 | |
40 | 15.27 | 14.27 | 13.20 | 12.25 | 11.23 | 10.22 | 9.21 | 8.18 | 7.16 | |
50 | 15.30 | 14.29 | 13.28 | 12.27 | 11.25 | 10.24 | 9.22 | 8.20 | 7.17 | |
61 | 0 | 15.32 | 14.31 | 13.30 | 12.29 | 11.27 | 10.25 | 9.24 | 8.21 | 7.19 |
10 | 15.33 | 14.34 | 13.32 | 12.31 | 11.29 | 10.27 | 9.25 | 8.22 | 7.20 | |
20 | 15.36 | 14.36 | 13.35 | 12.33 | 11.31 | 10.29 | 9.27 | 8.24 | 7.21 | |
30 | 15.38 | 14.39 | 13.37 | 12.35 | 11.33 | 10.31 | 9.28 | 8.25 | 7.22 | |
40 | 15.41 | 14.41 | 13.39 | 12.37 | 11.35 | 10.32 | 9.30 | 8.27 | 7.23 | |
50 | 15.44 | 14.44 | 13.41 | 12.39 | 11.37 | 10.34 | 9.31 | 8.28 | 7.25 | |
62 | 0 | 15.48 | 14.46 | 13.44 | 12.41 | 11.39 | 10.36 | 9.33 | 8.30 | 7.26 |
[page] 17
TABLE VIII. For reducing the apparent Altitude of the MOON to the true. | ||||||||||
Moon's horizontal Parallax. | Apparent Altitude of the Moon's Center. | |||||||||
84° | 85° | 86° | 87° | 88° | 89° | |||||
Corr. | Corr. | Corr. | Corr. | Corr. | Corr. | |||||
M | S | M S | M S | M S | M S | M S | M S | |||
53 | 0 | 5.26 | 4.32 | 3.38 | 2.43 | 1.49 | 0.54 | |||
10 | 5.27 | 4.33 | 3.39 | 2.43 | 1.49 | 0.54 | ||||
20 | 5.28 | 4.34 | 3.39 | 2.44 | 1.49 | 0.54 | ||||
30 | 5.29 | 4.35 | 3.40 | 2.45 | 1.50 | 0.55 | ||||
40 | 5.30 | 4.36 | 3.41 | 2.45 | 1.50 | 0.55 | ||||
50 | 5.31 | 4.37 | 3.42 | 2.46 | 1.51 | 0.55 | ||||
54 | 0 | 5.33 | 4.37 | 3.42 | 2.47 | 1.51 | 0.56 | |||
10 | 5.34 | 4.38 | 3.43 | 2.47 | 1.51 | 0.56 | ||||
20 | 5.35 | 4.39 | 3.44 | 2.48 | 1.52 | 0.56 | ||||
30 | 5.36 | 4.40 | 3.44 | 2.48 | 1.52 | 0.56 | ||||
40 | 5.37 | 4.41 | 3.45 | 2.49 | 1.52 | 0.56 | ||||
50 | 5.38 | 4.42 | 3.46 | 2.49 | 1.53 | 0.57 | ||||
55 | 0 | 5.39 | 4.43 | 3.46 | 2.50 | 1.53 | 0.57 | |||
10 | 5.40 | 4.44 | 3.47 | 2.50 | 1.54 | 0.57 | ||||
20 | 5.41 | 4.45 | 3.48 | 2.51 | 1.54 | 0.57 | ||||
30 | 5.42 | 4.46 | 3.48 | 2.51 | 1.54 | 0.57 | ||||
40 | 5.43 | 4.46 | 3.49 | 2.52 | 1.55 | 0.57 | ||||
50 | 5.44 | 4.47 | 3.50 | 2.52 | 1.55 | 0.58 | ||||
56 | 0 | 5.45 | 4.48 | 3.50 | 2.53 | 1.55 | 0.58 | |||
10 | 5.46 | 4.49 | 3.51 | 2.53 | 1.56 | 0.58 | ||||
20 | 5.47 | 4.50 | 3.52 | 2.54 | 1.56 | 0.58 | ||||
30 | 5.48 | 4.51 | 3.52 | 2.54 | 1.56 | 0.58 | ||||
40 | 5.49 | 4.52 | 3.53 | 2.55 | 1.57 | 0.58 | ||||
50 | 5.50 | 4.52 | 3.54 | 2.55 | 1.57 | 0.59 | ||||
57 | 0 | 5.51 | 4.53 | 3.55 | 2.56 | 1.57 | 0.59 | |||
10 | 5.53 | 4.54 | 3.55 | 2.56 | 1.58 | 0.59 | ||||
20 | 5.54 | 4.55 | 3.56 | 2.57 | 1.58 | 0.59 | ||||
30 | 5.55 | 4.56 | 3.57 | 2.57 | 1.58 | 0.59 | ||||
40 | 5.56 | 4.57 | 3.57 | 2.58 | 1.59 | 0.59 | ||||
50 | 5.57 | 4.58 | 3.58 | 2.58 | 1.59 | 0.59 | ||||
58 | 0 | 5.58 | 4.58 | 3.59 | 2.59 | 1.59 | 1.0 | |||
10 | 5.59 | 4.59 | 3.59 | 2.59 | 2.0 | 1.0 | ||||
20 | 6.0 | 5.0 | 4.0 | 3.0 | 2.0 | 1.0 | ||||
30 | 6.1 | 5.1 | 4.1 | 3.1 | 2.1 | 1.0 | ||||
40 | 6.2 | 5.2 | 4.1 | 3.1 | 2.1 | 1.0 | ||||
50 | 6.3 | 5.3 | 4.2 | 3.2 | 2.1 | 1.0 | ||||
59 | 0 | 6.4 | 5.4 | 4.3 | 3.2 | 2.2 | 1.1 | |||
10 | 6.5 | 5.5 | 4.3 | 3.3 | 2.2 | 1.1 | ||||
20 | 6.6 | 5.5 | 4.4 | 3.3 | 2.2 | 1.1 | ||||
30 | 6.7 | 5.6 | 4.5 | 3.4 | 2.3 | 1.1 | ||||
40 | 6.8 | 5.7 | 4.5 | 3.4 | 2.3 | 1.1 | ||||
50 | 6.9 | 5.8 | 4.6 | 3.5 | 2.3 | 1.1 | ||||
60 | 0 | 6.10 | 5.9 | 4.7 | 3.5 | 2.4 | 1.2 | |||
10 | 6.12 | 5.10 | 4.7 | 3.6 | 2.4 | 1.2 | ||||
20 | 6.13 | 5.10 | 4.8 | 3.6 | 2.5 | 1.2 | ||||
30 | 6.14 | 5.11 | 4.9 | 3.7 | 2.5 | 1.2 | ||||
40 | 6.15 | 5.12 | 4.9 | 3.7 | 2.5 | 1.2 | ||||
50 | 6.16 | 5.13 | 4.10 | 3.8 | 2.6 | 1.3 | ||||
61 | 0 | 6.17 | 5.14 | 4.11 | 3.9 | 2.6 | 1.3 | |||
10 | 6.18 | 5.15 | 4.11 | 3.9 | 2.6 | 1.3 | ||||
20 | 6.19 | 5.15 | 4.12 | 3.10 | 2.7 | 1.3 | ||||
30 | 6.20 | 5.16 | 4.13 | 3.10 | 2.7 | 1.3 | ||||
40 | 6.21 | 5.17 | 4.13 | 3.11 | 2.7 | 1.3 | ||||
50 | 6.22 | 5.18 | 4.14 | 3.11 | 2.8 | 1.4 | ||||
62 | 0 | 6.23 | 5.19 | 4.15 | 3.12 | 2.8 | 1.4 |
C
[page] 18
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
3° | 4° | 5° | 6° | 7° | 8° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99983·9 | 9.99972·7 | 9.99961·2 | 9.99949·6 | 9.99938·0 | 9.99926·4 | |||
10 | 9.99983·8 | 9.99972·5 | 9.99961·0 | 9.99949·4 | 9.99937·7 | 9.99926·1 | ||||
20 | 9.99983·6 | 9.99972·3 | 9.99960·8 | 9.99949·1 | 9.99937·4 | 9.99925·7 | ||||
30 | 9.99983·5 | 9.99972·1 | 9.99960·6 | 9.99948·9 | 9.99937·1 | 9.99925·4 | ||||
40 | 9.99983·3 | 9.99972·0 | 9.99960·4 | 9.99948·6 | 9.99936·9 | 9.99925·1 | ||||
50 | 9.99983·2 | 9.99971·8 | 9.99960·2 | 9.99948·4 | 9.99936·6 | 9.99924·7 | ||||
54 | 0 | 9.99983·1 | 9.99971·6 | 9.99959·9 | 9.99948·1 | 9.99936·3 | 9.99924·4 | |||
10 | 9.99982·9 | 9.99971·4 | 9.99959·7 | 9.99947·9 | 9.99936·0 | 9.99924·1 | ||||
20 | 9.99982·8 | 9.99971·3 | 9.99959·5 | 9.99947·6 | 9.99935·7 | 9.99923·8 | ||||
30 | 9.99982·7 | 9.99971·1 | 9.99959·3 | 9.99947·4 | 9.99935·4 | 9.99923·4 | ||||
40 | 9.99982·6 | 9.99970·9 | 9.99959·1 | 9.99947·1 | 9.99935·1 | 9.99923·1 | ||||
50 | 9.99982·4 | 9.99970·7 | 9.99958·9 | 9.99946·9 | 9.99935·8 | 9.99922·8 | ||||
55 | 0 | 9.99982·3 | 9.99970·6 | 9.99958·7 | 9.99946·6 | 9.99934·5 | 9.99922·5 | |||
10 | 9.99982·1 | 9.99970·4 | 9.99958·4 | 9.99946·4 | 9.99934·2 | 9.99922·2 | ||||
20 | 9.99982·0 | 9.99970·2 | 9.99958·2 | 9.99946·1 | 9.99933·9 | 9.99921·9 | ||||
30 | 9.99981·9 | 9.99970·0 | 9.99958·0 | 9.99945·9 | 9.99933·7 | 9.99921·6 | ||||
40 | 9.99981·7 | 9.99969·9 | 9.99957·8 | 9.99945·6 | 9.99933·4 | 9.99921·2 | ||||
50 | 9.99981·6 | 9.99969·7 | 9.99957·6 | 9.99945·4 | 9.99933·1 | 9.99920·9 | ||||
56 | 0 | 9.99981·5 | 9.99969·5 | 9.99957·4 | 9.99945·1 | 9.99932·8 | 9.99920·6 | |||
10 | 9.99981·3 | 9.99969·3 | 9.99957·1 | 9.99944·9 | 9.99932·5 | 9.99920·3 | ||||
20 | 9.99981·2 | 9.99969·2 | 9.99956·9 | 9.99944·7 | 9.99932·2 | 9.99919·9 | ||||
30 | 9.99981·1 | 9.99969·0 | 9.99956·7 | 9.99944·4 | 9.99932·0 | 9.99919·6 | ||||
40 | 9.99980·9 | 9.99968·8 | 9.99956·5 | 9.99944·2 | 9.99931·7 | 9.99919·3 | ||||
50 | 9.99980·8 | 9.99968·6 | 9.99956·3 | 9.99943·9 | 9.99931·4 | 9.99919·0 | ||||
57 | 0 | 9.99980·7 | 9.99968·5 | 9.99956·1 | 9.99943·7 | 9.99931·1 | 9.99918·6 | |||
10 | 9.99980·5 | 9.99968·3 | 9.99955·9 | 9.99943·4 | 9.99930·8 | 9.99918·3 | ||||
20 | 9.99980·4 | 9.99968·1 | 9.99955·7 | 9.99943·2 | 9.99930·5 | 9.99918·0 | ||||
30 | 9.99980·3 | 9.99968·0 | 9.99955·5 | 9.99942·9 | 9.99930·3 | 9.99917·6 | ||||
40 | 9.99980·1 | 9.99967·8 | 9.99955·3 | 9.99942·7 | 9.99930·0 | 9.99917·3 | ||||
50 | 9.99980·0 | 9.99967·6 | 9.99955·1 | 9.99942·4 | 9.99929·7 | 9.99917·0 | ||||
58 | 0 | 9.99979·9 | 9.99967·5 | 9.99954·9 | 9.99942·2 | 9.99929·4 | 9.99916·7 | |||
10 | 9.99979·7 | 9.99967·3 | 9.99954·6 | 9.99941·9 | 9.99929·1 | 9.99916·3 | ||||
20 | 9.99979·6 | 9.99967·1 | 9.99954·4 | 9.99941·7 | 9.99928·8 | 9.99916·0 | ||||
30 | 9.99979·4 | 9.99966·9 | 9.99954·2 | 9.99941·4 | 9.99928·6 | 9.99915·7 | ||||
40 | 9.99979·3 | 9.99966·8 | 9.99954·0 | 9.99941·2 | 9.99928·3 | 9.99915·4 | ||||
50 | 9.99979·1 | 9.99966·6 | 9.99953·8 | 9.99940·9 | 9.99928·0 | 9.99915·1 | ||||
59 | 0 | 9.99979·0 | 9.99966·4 | 9.99953·6 | 9.99940·7 | 9.99927·7 | 9.99914·7 | |||
10 | 9.99978·9 | 9.99966·2 | 9.99953·3 | 9.99940·4 | 9.99927·4 | 9.99914·4 | ||||
20 | 9.99978·7 | 9.99966·1 | 9.99953·1 | 9.99940·2 | 9.99927·1 | 9.99914·1 | ||||
30 | 9.99978·6 | 9.99965·9 | 9.99952·9 | 9.99939·9 | 9.99926·8 | 9.99913·7 | ||||
40 | 9.99978·5 | 9.99965·7 | 9.99952·7 | 9.99939·7 | 9.99926·5 | 9.99913·4 | ||||
50 | 9.99978·3 | 9.99965·5 | 9.99952·5 | 9.99939·4 | 9.99926·2 | 9.99913·1 | ||||
60 | 0 | 9.99978·2 | 9.99965·3 | 9.99952·3 | 9.99939·2 | 9.99925·9 | 9.99912·8 | |||
10 | 9.99978·1 | 9.99965·2 | 9.99952·0 | 9.99938·9 | 9.99925·7 | 9.99912·4 | ||||
20 | 9.99977·9 | 9.99965·0 | 9.99951·8 | 9.99938·7 | 9.99925·4 | 9.99912·1 | ||||
30 | 9.99977·8 | 9.99964·8 | 9.99951·6 | 9.99938·4 | 9.99925·1 | 9.99911·8 | ||||
40 | 9.99977·7 | 9.99964·6 | 9.99951·4 | 9.99938·2 | 9.99924·8 | 9.99911·5 | ||||
50 | 9.99977·5 | 9.99964·5 | 9.99951·2 | 9.99937·9 | 9.99924·5 | 9.99911·1 | ||||
61 | 0 | 9.99977·4 | 9.99964·3 | 9.99951·0 | 9.99937·6 | 9.99924·2 | 9.99910·8 | |||
10 | 9.99977·2 | 9.99964·1 | 9.99950·7 | 9.99937·4 | 9.99923·9 | 9.99910·5 | ||||
20 | 9.99977·1 | 9.99963·9 | 9.99950·5 | 9.99937·1 | 9.99923·6 | 9.99910·2 | ||||
30 | 9.99976·9 | 9.99963·8 | 9.99950·3 | 9.99936·9 | 9.99923·3 | 9.99909·8 | ||||
40 | 9.99976·8 | 9.99963·6 | 9.99950·1 | 9.99936·6 | 9.99923·0 | 9.99909·5 | ||||
50 | 9.99976·6 | 9.99963·4 | 9.99949·9 | 9.99936·4 | 9.99922·7 | 9.99909·2 | ||||
62 | 0 | 9.99976·5 | 9.99963·2 | 9.99949·7 | 9.99936·1 | 9.99922·4 | 9.99908·9 |
[page] 19
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
9° | 10° | 11° | 12° | 13° | 14° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99914·8 | 9.99903·2 | 9.99891·7 | 9.99880·3 | 9.99868·8 | 9.99857·4 | |||
10 | 9.99914·4 | 9.99902·8 | 9.99891·3 | 9.99879·8 | 9.99868·3 | 9.99856·9 | ||||
20 | 9.99914·0 | 9.99902·4 | 9.99890·8 | 9.99879·4 | 9.99867·8 | 9.99856·3 | ||||
30 | 9.99913·7 | 9.99902·1 | 9.99890·4 | 9.99878·9 | 9.99867·3 | 9.99855·8 | ||||
40 | 9.99913·3 | 9.99901·7 | 9.99890·0 | 9.99878·4 | 9.99866·8 | 9.99855·3 | ||||
50 | 9.99912·9 | 9.99901·3 | 9.99889·5 | 9.99877·9 | 9.99866·3 | 9.99854·7 | ||||
54 | 0 | 9.99912·6 | 9.99900·9 | 9.99889·1 | 9.99877·4 | 9.99865·8 | 9.99854·2 | |||
10 | 9.99912·2 | 9.99900·5 | 9.99888·6 | 9.99877·0 | 9.99865·3 | 9.99853·7 | ||||
20 | 9.99911·9 | 9.99900·1 | 9.99888·2 | 9.99876·5 | 9.99864·8 | 9.99853·1 | ||||
30 | 9.99911·5 | 9.99899·7 | 9.99887·8 | 9.99876·0 | 9.99864·3 | 9.99852·6 | ||||
40 | 9.99911·2 | 9.99899·3 | 9.99887·3 | 9.99875·6 | 9.99863·8 | 9.99852·1 | ||||
50 | 9.99910·8 | 9.99898·9 | 9.99886·9 | 9.99875·1 | 9.99863·3 | 9.99851·5 | ||||
55 | 0 | 9.99910·5 | 9.99898·5 | 9.99886·5 | 9.99874·6 | 9.99862·8 | 9.99851·0 | |||
10 | 9.99910·1 | 9.99898·1 | 9.99886·0 | 9.99874·2 | 9.99862·3 | 9.99850·4 | ||||
20 | 9.99909·8 | 9.99897·7 | 9.99885·6 | 9.99873·7 | 9.99861·8 | 9.99849·8 | ||||
30 | 9.99909·4 | 9.99897·3 | 9.99885·2 | 9.99873·2 | 9.99861·3 | 9.99849·3 | ||||
40 | 9.99909·1 | 9.99896·9 | 9.99884·7 | 9.99872·7 | 9.99860·7 | 9.99848·8 | ||||
50 | 9.99908·7 | 9.99896·5 | 9.99884·3 | 9.99872·2 | 9.99860·2 | 9.99848·2 | ||||
56 | 0 | 9.99908·3 | 9.99896·1 | 9.99883·9 | 9.99871·8 | 9.99859·7 | 9.99847·7 | |||
10 | 9.99907·9 | 9.99895·7 | 9.99883·4 | 9.99871·3 | 9.99859·2 | 9.99847·1 | ||||
20 | 9.99907·6 | 9.99895·3 | 9.99883·0 | 9.99870·8 | 9.99858·7 | 9.99846·6 | ||||
30 | 9.99907·2 | 9.99894·9 | 9.99882·6 | 9.99870·4 | 9.99858·2 | 9.99846·0 | ||||
40 | 9.99906·9 | 9.99894·5 | 9.99882·1 | 9.99869·9 | 9.99857·7 | 9.99845·5 | ||||
50 | 9.99906·5 | 9.99894·1 | 9.99881·7 | 9.99869·4 | 9.99857·2 | 9.99844·9 | ||||
57 | 0 | 9.99906·2 | 9.99893·7 | 9.99881·3 | 9.99869·0 | 9.99856·7 | 9.99844·4 | |||
10 | 9.99905·8 | 9.99893·4 | 9.99880·8 | 9.99868·5 | 9.99856·2 | 9.99843·9 | ||||
20 | 9.99905·5 | 9.99893·0 | 9.99880·4 | 9.99868·0 | 9.99855·7 | 9.99843·3 | ||||
30 | 9.99905·1 | 9.99892·6 | 9.99880·0 | 9.99867·6 | 9.99855·2 | 9.99842·8 | ||||
40 | 9.99904·8 | 9.99892·2 | 9.99879·5 | 9.99867·1 | 9.99854·6 | 9.99842·3 | ||||
50 | 9.99904·4 | 9.99891·8 | 9.99879·1 | 9.99866·6 | 9.99854·1 | 9.99841·8 | ||||
58 | 0 | 9.99904·0 | 9.99891·4 | 9.99878·7 | 9.99866·2 | 9.99853·6 | 9.99841·2 | |||
10 | 9.99903·7 | 9.99891·0 | 9.99878·2 | 9.99865·7 | 9.99853·1 | 9.99840·7 | ||||
20 | 9.99903·3 | 9.99890·6 | 9.99877·8 | 9.99865·2 | 9.99852·6 | 9.99840·1 | ||||
30 | 9.99902·9 | 9.99890·2 | 9.99877·4 | 9.99864·8 | 9.99852·1 | 9.99839·6 | ||||
40 | 9.99902·6 | 9.99889·8 | 9.99876·9 | 9.99864·3 | 9.99851·6 | 9.99839·1 | ||||
50 | 9.99902·2 | 9.99889·4 | 9.99876·5 | 9.99863·8 | 9.99851·1 | 9.99838·5 | ||||
59 | 0 | 9.99901·8 | 9.99889·0 | 9.99876·1 | 9.99863·4 | 9.99850·6 | 9.99838·0 | |||
10 | 9.99901·4 | 9.99888·6 | 9.99875·6 | 9.99862·9 | 9.99850·1 | 9.99837·4 | ||||
20 | 9.99901·1 | 9.99888·2 | 9.99875·2 | 9.99862·4 | 9.99849·6 | 9.99836·9 | ||||
30 | 9.99900·7 | 9.99887·8 | 9.99874·8 | 9.99861·9 | 9.99849·1 | 9.99836·3 | ||||
40 | 9.99900·4 | 9.99887·4 | 9.99874·3 | 9.99861·5 | 9.99848·6 | 9.99835·8 | ||||
50 | 9.99900·0 | 9.99887·0 | 9.99873·9 | 9.99861·0 | 9.99848·1 | 9.99835·2 | ||||
60 | 0 | 9.99899·7 | 9.99886·6 | 9.99873·5 | 9.99860·5 | 9.99847·6 | 9.99834·7 | |||
10 | 9.99899·3 | 9.99886·2 | 9.99873·0 | 9.99860·0 | 9.99847·1 | 9.99834·1 | ||||
20 | 9.99899·0 | 9.99885·8 | 9.99872·6 | 9.99859·6 | 9.99846·6 | 9.99833·6 | ||||
30 | 9.99898·6 | 9.99885·4 | 9.99872·2 | 9.99859·1 | 9.99846·1 | 9.99833·0 | ||||
40 | 9.99898·2 | 9.99885·0 | 9.99871·7 | 9.99858·6 | 9.99845·5 | 9.99832·5 | ||||
50 | 9.99897·9 | 9.99884·6 | 9.99871·3 | 9.99858·1 | 9.99845·0 | 9.99831·9 | ||||
61 | 0 | 9.99897·5 | 9.99884·2 | 9.99870·9 | 9.99857·7 | 9.99844·5 | 9.99831·4 | |||
10 | 9.99897·1 | 9.99883·8 | 9.99870·4 | 9.99857·2 | 9.99844·0 | 9.99830·8 | ||||
20 | 9.99896·8 | 9.99883·4 | 9.99870·0 | 9.99856·7 | 9.99843·5 | 9.99830·3 | ||||
30 | 9.99896·4 | 9.99883·0 | 9.99869·5 | 9.99856·2 | 9.99843·0 | 9.99829·7 | ||||
40 | 9.99896·0 | 9.99882·6 | 9.99869·1 | 9.99855·8 | 9.99842·5 | 9.99829·2 | ||||
50 | 9.99895·7 | 9.99882·2 | 9.99868·7 | 9.99855·3 | 9.99842·0 | 9.99828·6 | ||||
62 | 0 | 9.99895·3 | 9.99881·8 | 9.99868·3 | 9.99854·8 | 9.99841·5 | 9.99828·1 |
C 2
[page] 20
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
15° | 16° | 17° | 18° | 19° | 20° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99846·0 | 9.99834·8 | 9.99823·6 | 9.99812·4 | 9.99801·3 | 9.99790·2 | |||
10 | 9.99845·4 | 9.99834·2 | 9.99823·0 | 9.99811·7 | 9.99800·6 | 9.99789·5 | ||||
20 | 9.99844·9 | 9.99833·6 | 9.99822·3 | 9.99811·0 | 9.99799·8 | 9.99788·7 | ||||
30 | 9.99844·3 | 9.99832·9 | 9.99821·7 | 9.99810·4 | 9.99799·1 | 9.99788·0 | ||||
40 | 9.99843·7 | 9.99832·3 | 9.99821·0 | 9.99809·7 | 9.99798·4 | 9.99787·2 | ||||
50 | 9.99843·2 | 9.99831·7 | 9.99820·3 | 9.99809·0 | 9.99797·7 | 9.99786·5 | ||||
54 | 0 | 9.99842·6 | 9.99831·1 | 9.99819·7 | 9.99808·3 | 9.99797·0 | 9.99785·7 | |||
10 | 9.99842·0 | 9.99830·5 | 9.99819·0 | 9.99807·6 | 9.99796·3 | 9.99785·0 | ||||
20 | 9.99841·4 | 9.99829·9 | 9.99818·4 | 9.99806·9 | 9.99795·5 | 9.99784·2 | ||||
30 | 9.99840·9 | 9.99829·3 | 9.99817·7 | 9.99806·3 | 9.99794·8 | 9.99783·5 | ||||
40 | 9.99840·3 | 9.99828·7 | 9.99817·1 | 9.99805·6 | 9.99794·1 | 9.99782·7 | ||||
50 | 9.99839·7 | 9.99828·1 | 9.99816·4 | 9.99804·9 | 9.99793·4 | 9.99782·0 | ||||
55 | 0 | 9.99839·1 | 9.99827·5 | 9.99815·8 | 9.99804·2 | 9.99792·7 | 9.99781·2 | |||
10 | 9.99838·6 | 9.99826·9 | 9.99815·1 | 9.99803·5 | 9.99792·0 | 9.99780·5 | ||||
20 | 9.99838·0 | 9.99826·2 | 9.99814·5 | 9.99802·8 | 9.99791·3 | 9.99779·7 | ||||
30 | 9.99837·4 | 9.99825·6 | 9.99813·8 | 9.99802·2 | 9.99790·5 | 9.99779·0 | ||||
40 | 9.99836·8 | 9.99825·0 | 9.99813·2 | 9.99801·5 | 9.99789·8 | 9.99778·2 | ||||
50 | 9.99836·3 | 9.99824·4 | 9.99812·5 | 9.99800·8 | 9.99789·1 | 9.99777·5 | ||||
56 | 0 | 9.99835·7 | 9.99823·8 | 9.99811·9 | 9.99800·1 | 9.99788·4 | 9.99776·7 | |||
10 | 9.99835·1 | 9.99823·2 | 9.99811·2 | 9.99799·4 | 9.99787·7 | 9.99776·0 | ||||
20 | 9.99834·5 | 9.99822·5 | 9.99810·6 | 9.99798·7 | 9.99786·9 | 9.99775·2 | ||||
30 | 9.99833·9 | 9.99822·9 | 9.99809·9 | 9.99798·1 | 9.99786·2 | 9.99774·5 | ||||
40 | 9.99833·4 | 9.99821·3 | 9.99809·3 | 9.99797·4 | 9.99785·5 | 9.99773·7 | ||||
50 | 9.99832·8 | 9.99820·7 | 9.99808·6 | 9.99796·7 | 9.99784·8 | 9.99773·0 | ||||
57 | 0 | 9.99832·2 | 9.99820·1 | 9.99808·0 | 9.99796·0 | 9.99784·1 | 9.99772·2 | |||
10 | 9.99831·6 | 9.99819·5 | 9.99807·3 | 9.99795·3 | 9.99783·4 | 9.99771·5 | ||||
20 | 9.99831·1 | 9.99818·9 | 9.99806·7 | 9.99794·6 | 9.99782·6 | 9.99770·7 | ||||
30 | 9.99830·5 | 9.99818·3 | 9.99806·0 | 9.99794·0 | 9.99781·9 | 9.99770·0 | ||||
40 | 9.99829·9 | 9.99817·7 | 9.99805·4 | 9.99793·3 | 9.99781·2 | 9.99769·2 | ||||
50 | 9.99829·4 | 9.99817·1 | 9.99804·7 | 9.99792·6 | 9.99780·5 | 9.99768·5 | ||||
58 | 0 | 9.99828·8 | 9.99816·5 | 9.99804·1 | 9.99791·9 | 9.99779·8 | 9.99767·7 | |||
10 | 9.99828·2 | 9.99815·9 | 9.99803·4 | 9.99791·2 | 9.99779·0 | 9.99767·0 | ||||
20 | 9.99827·6 | 9.99815·2 | 9.99802·8 | 9.99790·5 | 9.99778·3 | 9.99766·2 | ||||
30 | 9.99827·1 | 9.99814·6 | 9.99802·1 | 9.99789·9 | 9.99777·6 | 9.99765·5 | ||||
40 | 9.99826·5 | 9.99814·0 | 9.99801·5 | 9.99789·2 | 9.99776·9 | 9.99764·7 | ||||
50 | 9.99825·9 | 9.99812·4 | 9.99800·8 | 9.99788·5 | 9.99776·2 | 9.99764·0 | ||||
59 | 0 | 9.99825·3 | 9.99812·8 | 9.99800·2 | 9.99787·8 | 9.99775·4 | 9.99763·2 | |||
10 | 9.99824·7 | 9.99812·2 | 9.99799·5 | 9.99787·1 | 9.99774·7 | 9.99762·5 | ||||
20 | 9.99824·1 | 9.99811·5 | 9.99798·9 | 9.99786·4 | 9.99774·0 | 9.99761·7 | ||||
30 | 9.99823·5 | 9.99810·9 | 9.99798·2 | 9.99785·8 | 9.99773·3 | 9.99761·0 | ||||
40 | 9.99823·0 | 9.99810·3 | 9.99797·6 | 9.99785·1 | 9.99772·5 | 9.99760·2 | ||||
50 | 9.99822·4 | 9.99809·7 | 9.99796·9 | 9.99784·4 | 9.99771·8 | 9.99759·4 | ||||
60 | 0 | 9.99821·8 | 9.99809·1 | 9.99796·3 | 9.99783·7 | 9.99771·1 | 9.99758·6 | |||
10 | 9.99821·2 | 9.99808·5 | 9.99795·6 | 9.99783·0 | 9.99770·4 | 9.99757·9 | ||||
20 | 9.99820·6 | 9.99807·8 | 9.99795·0 | 9.99782·3 | 9.99769·6 | 9.99757·1 | ||||
30 | 9.99820·1 | 9.99807·2 | 9.99794·3 | 9.99781·7 | 9.99768·9 | 9.99756·4 | ||||
40 | 9.99819·5 | 9.99806·6 | 9.99793·7 | 9.99781·0 | 9.99768·2 | 9.99755·6 | ||||
50 | 9.99818·9 | 9.99806·0 | 9.99793·0 | 9.99780·3 | 9.99767·5 | 9.99754·9 | ||||
61 | 0 | 9.99818·3 | 9.99805·4 | 9.99792·4 | 9.99779·6 | 9.99766·7 | 9.99754·1 | |||
10 | 9.99817·7 | 9.99804·8 | 9.99791·7 | 9.99778·9 | 9.99766·0 | 9.99753·4 | ||||
20 | 9.99817·1 | 9.99804·1 | 9.99791·1 | 9.99778·2 | 9.99765·3 | 9.99752·6 | ||||
30 | 9.99816·5 | 9.99803·5 | 9.99790·4 | 9.99777·5 | 9.99764·6 | 9.99751·9 | ||||
40 | 9.99816·0 | 9.99802·9 | 9.99789·8 | 9.99776·8 | 9.99763·8 | 9.99751·1 | ||||
50 | 9.99815·4 | 9.99802·3 | 9.99789·1 | 9.99776·1 | 9.99763·1 | 9.99750·4 | ||||
62 | 0 | 9.99814·8 | 9.99801·7 | 9.99788·5 | 9.99775·4 | 9.99762·4 | 9.99749·6 |
[page] 21
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
21° | 22° | 23° | 24° | 25° | 26° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99779·2 | 9.99768·4 | 9.99757·7 | 9.99746·8 | 9.99736·3 | 9.99725·7 | |||
10 | 9.99778·4 | 9.99767·5 | 9.99756·8 | 9.99745·9 | 9.99735·4 | 9.99724·7 | ||||
20 | 9.99777·6 | 9.99766·7 | 9.99756·0 | 9.99745·0 | 9.99734·4 | 9.99723·8 | ||||
30 | 9.99776·9 | 9.99765·9 | 9.99755·1 | 9.99744·2 | 9.99733·5 | 9.99722·8 | ||||
40 | 9.99776·1 | 9.99765·1 | 9.99754·2 | 9.99743·3 | 9.99732·6 | 9.99721·8 | ||||
50 | 9.99775·3 | 9.99764·3 | 9.99753·4 | 9.99742·4 | 9.99731·7 | 9.99720·9 | ||||
54 | 0 | 9.99774·5 | 9.99763·5 | 9.99752·5 | 9.99741·5 | 9.99730·7 | 9.99719·9 | |||
10 | 9.99773·7 | 9.99762·6 | 9.99751·7 | 9.99740·6 | 9.99729·8 | 9.99719·0 | ||||
20 | 9.99773·0 | 9.99761·8 | 9.99750·8 | 9.99739·7 | 9.99728·9 | 9.99718·0 | ||||
30 | 9.99772·2 | 9.99761·0 | 9.99750·0 | 9.99738·8 | 9.99728·0 | 9.99717·1 | ||||
40 | 9.99771·4 | 9.99760·2 | 9.99749·1 | 9.99738·0 | 9.99727·0 | 9.99716·1 | ||||
50 | 9.99770·6 | 9.99759·4 | 9.99748·3 | 9.99737·1 | 9.99726·1 | 9.99715·2 | ||||
55 | 0 | 9.99769·8 | 9.99758·6 | 9.99747·4 | 9.99736·2 | 9.99725·2 | 9.99714·2 | |||
10 | 9.99769·0 | 9.99757·7 | 9.99746·5 | 9.99735·3 | 9.99724·3 | 9.99713·2 | ||||
20 | 9.99768·3 | 9.99756·9 | 9.99745·7 | 9.99734·4 | 9.99723·3 | 9.99712·3 | ||||
30 | 9.99767·5 | 9.99756·1 | 9.99744·8 | 9.99733·5 | 9.99722·4 | 9.99711·3 | ||||
40 | 9.99766·7 | 9.99755·3 | 9.99743·9 | 9.99732·6 | 9.99721·5 | 9.99710·3 | ||||
50 | 9.99765·9 | 9.99754·5 | 9.99743·1 | 9.99731·8 | 9.99720·6 | 9.99709·4 | ||||
56 | 0 | 9.99765·1 | 9.99753·7 | 9.99742·2 | 9.99730·9 | 9.99719·6 | 9.99708·4 | |||
10 | 9.99764·4 | 9.99752·8 | 9.99741·3 | 9.99730·0 | 9.99718·7 | 9.99707·5 | ||||
20 | 9.99763·6 | 9.99752·0 | 9.99740·5 | 9.99729·1 | 9.99717·8 | 9.99706·5 | ||||
30 | 9.99762·8 | 9.99751·2 | 9.99739·6 | 9.99728·2 | 9.99716·9 | 9.99705·6 | ||||
40 | 9.99762·0 | 9.99750·4 | 9.99738·8 | 9.99727·3 | 9.99716·0 | 9.99704·6 | ||||
50 | 9.99761·2 | 9.99749·5 | 9.99738·0 | 9.99726·4 | 9.99715·0 | 9.99703·7 | ||||
57 | 0 | 9.99760·4 | 9.99748·7 | 9.99737·1 | 9.99725·5 | 9.99714·1 | 9.99702·7 | |||
10 | 9.99759·6 | 9.99747·9 | 9.99736·2 | 9.99724·6 | 9.99713·2 | 9.99701·8 | ||||
20 | 9.99758·8 | 9.99747·0 | 9.99735·4 | 9.99723·7 | 9.99712·3 | 9.99700·8 | ||||
30 | 9.99758·0 | 9.99746·2 | 9.99734·5 | 9.99722·8 | 9.99711·3 | 9.99699·9 | ||||
40 | 9.99757·2 | 9.99745·4 | 9.99733·6 | 9.99722·0 | 9.99710·4 | 9.99698·9 | ||||
50 | 9.99756·4 | 9.99744·6 | 9.99732·8 | 9.99721·1 | 9.99709·5 | 9.99698·0 | ||||
58 | 0 | 9.99755·6 | 9.99743·8 | 9.99731·9 | 9.99720·2 | 9.99708·6 | 9.99697·0 | |||
10 | 9.99754·9 | 9.99742·9 | 9.99731·0 | 9.99719·3 | 9.99707·6 | 9.99696·1 | ||||
20 | 9.99754·1 | 9.99742·1 | 9.99730·2 | 9.99718·4 | 9.99706·7 | 9.99695·1 | ||||
30 | 9.99753·3 | 9.99741·3 | 9.99729·3 | 9.99717·5 | 9.99705·8 | 9.99694·2 | ||||
40 | 9.99752·5 | 9.99740·5 | 9.99728·5 | 9.99716·6 | 9.99704·9 | 9.99693·2 | ||||
50 | 9.99751·7 | 9.99739·6 | 9.99727·6 | 9.99715·7 | 9.99704·0 | 9.99692·3 | ||||
59 | 0 | 9.99750·9 | 9.99738·8 | 9.99726·8 | 9.99714·8 | 9.99703·0 | 9.99691·3 | |||
10 | 9.99750·1 | 9.99738·0 | 9.99725·9 | 9.99713·9 | 9.99702·1 | 9.99690·4 | ||||
20 | 9.99749·3 | 9.99737·1 | 9.99725·1 | 9.99713·0 | 9.99701·2 | 9.99689·4 | ||||
30 | 9.99748·6 | 9.99736·3 | 9.99724·2 | 9.99712·2 | 9.99700·3 | 9.99688·4 | ||||
40 | 9.99747·8 | 9.99735·5 | 9.99723·4 | 9.99711·3 | 9.99699·3 | 9.99687·5 | ||||
50 | 9.99747·0 | 9.99734·7 | 9.99722·5 | 9.99710·4 | 9.99698·4 | 9.99686·5 | ||||
60 | 0 | 9.99746·2 | 9.99733·9 | 9.99721·7 | 9.99709·5 | 9.99697·5 | 9.99685·5 | |||
10 | 9.99745·4 | 9.99733·0 | 9.99720·8 | 9.99708·6 | 9.99696·6 | 9.99684·6 | ||||
20 | 9.99744·6 | 9.99732·2 | 9.99719·9 | 9.99707·7 | 9.99695·6 | 9.99683·6 | ||||
30 | 9.99743·8 | 9.99731·4 | 9.99719·1 | 9.99706·8 | 9.99684·7 | 9.99682·7 | ||||
40 | 9.99743·0 | 9.99730·6 | 9.99718·2 | 9.99706·0 | 9.99693·8 | 9.99681·7 | ||||
50 | 9.99742·2 | 9.99729·7 | 9.99717·4 | 9.99705·1 | 9.99692·9 | 9.99680·8 | ||||
61 | 0 | 9.99741·4 | 9.99729·0 | 9.99716·5 | 9.99704·2 | 9.99691·2 | 9.99679·8 | |||
10 | 9.99740·7 | 9.99728·1 | 9.99715·7 | 9.99703·3 | 9.99691·0 | 9.99678·8 | ||||
20 | 9.99739·9 | 9.99727·3 | 9.99714·8 | 9.99702·4 | 9.99690·1 | 9.99677·9 | ||||
30 | 9.99739·1 | 9.99726·5 | 9.99714·0 | 9.99701·5 | 9.99689·1 | 9.99676·9 | ||||
40 | 9.99738·3 | 9.99725·7 | 9.99713·1 | 9.99700·6 | 9.99688·2 | 9.99675·9 | ||||
50 | 9.99737·5 | 9.99724·8 | 9.99712·3 | 9.99699·7 | 9.99687·3 | 9.99675·0 | ||||
62 | 0 | 9.99736·7 | 9.99724·0 | 9.99711·4 | 9.99698·8 | 9.99686·3 | 9.99674·0 |
[page] 22
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
27° | 28° | 29° | 30° | 31° | 32° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99715·2 | 9.99704·8 | 9.99674·5 | 9.99684·4 | 9.99674·3 | 9.99664·3 | |||
10 | 9.99714·2 | 9.99703·8 | 9.99693·5 | 9.99683·3 | 9.99673·2 | 9.99663·2 | ||||
20 | 9.99713·2 | 9.99702·8 | 9.99692·4 | 9.99682·2 | 9.99672·1 | 9.99662·0 | ||||
30 | 9.99712·2 | 9.99701·7 | 9.99691·4 | 9.99681·2 | 9.99671·0 | 9.99660·9 | ||||
40 | 9.99711·2 | 9.99700·7 | 9.99690·3 | 9.99680·1 | 9.99669·9 | 9.99659·8 | ||||
50 | 9.99910·2 | 9.99699·7 | 9.99689·3 | 9.99679·0 | 9.99668·8 | 9.99658·6 | ||||
54 | 0 | 9.99709·2 | 9.99698·7 | 9.99688·2 | 9.99677·9 | 9.99667·6 | 9.99657·5 | |||
10 | 9.99708·3 | 9.99697·7 | 9.99687·2 | 9.99676·8 | 9.99666·5 | 9.99656·3 | ||||
20 | 9.99707·3 | 9.99696·6 | 9.99686·1 | 9.99675·7 | 9.99665·4 | 9.99655·2 | ||||
30 | 9.99706·3 | 9.99695·6 | 9.99685·1 | 9.99674·6 | 9.99664·3 | 9.99654·0 | ||||
40 | 9.99705·3 | 9.99694·6 | 9.99684·0 | 9.99673·5 | 9.99663·2 | 9.99652·9 | ||||
50 | 9.99704·3 | 9.99693·6 | 9.99683·0 | 9.99672·4 | 9.99662·0 | 9.99651·7 | ||||
55 | 0 | 9.99703·3 | 9.99692·6 | 9.99681·9 | 9.99671·3 | 9.99660·9 | 9.99650·6 | |||
10 | 9.99702·3 | 9.99691·5 | 9.99680·9 | 9.99670·3 | 9.99659·8 | 9.99649·5 | ||||
20 | 9.99701·4 | 9.99690·5 | 9.99679·8 | 9.99669·2 | 9.99658·7 | 9.99648·3 | ||||
30 | 9.99700·4 | 9.99689·5 | 9.99678·8 | 9.99668·1 | 9.99657·6 | 9.99647·2 | ||||
40 | 9.99699·4 | 9.99688·5 | 9.99677·7 | 9.99667·0 | 9.99656·4 | 9.99646·0 | ||||
50 | 9.99698·4 | 9.99687·5 | 9.99676·7 | 9.99665·9 | 9.99655·3 | 9.99644·9 | ||||
56 | 0 | 9.99697·4 | 9.99686·4 | 9.99675·6 | 9.99664·8 | 9.99654·2 | 9.99643·7 | |||
10 | 9.99696·4 | 9.99685·4 | 9.99674·6 | 9.99663·8 | 9.99653·1 | 9.99642·6 | ||||
20 | 9.99695·4 | 9.99684·4 | 9.99673·5 | 9.99662·7 | 9.99652·0 | 9.99641·5 | ||||
30 | 9.99694·5 | 9.99683·4 | 9.99672·5 | 9.99661·6 | 9.99650·8 | 9.99640·3 | ||||
40 | 9.99693·5 | 9.99682·4 | 9.99671·4 | 9.99660·5 | 9.99649·7 | 9.99639·1 | ||||
50 | 9.99692·5 | 9.99681·3 | 9.99670·4 | 9.99659·4 | 9.99648·6 | 9.99638·0 | ||||
57 | 0 | 9.99691·5 | 9.99680·3 | 9.99669·3 | 9.99658·3 | 9.99647·5 | 9.99636·8 | |||
10 | 9.99690·5 | 9.99679·3 | 9.99668·3 | 9.99657·3 | 9.99646·4 | 9.99635·7 | ||||
20 | 9.99689·5 | 9.99678·3 | 9.99667·2 | 9.99656·2 | 9.99645·2 | 9.99634·5 | ||||
30 | 9.99688·5 | 9.99677·2 | 9.99666·2 | 9.99655·1 | 9.99644·1 | 9.99633·4 | ||||
40 | 9.99687·6 | 9.99676·2 | 9.99665·1 | 9.99654·0 | 9.99643·0 | 9.99632·2 | ||||
50 | 9.99686·6 | 9.99675·2 | 9.99664·1 | 9.99652·9 | 9.99641·9 | 9.99631·1 | ||||
58 | 0 | 9.99685·6 | 9.99674·2 | 9.99663·0 | 9.99651·8 | 9.99640·8 | 9.99629·9 | |||
10 | 9.99684·6 | 9.99673·1 | 9.99662·0 | 9.99650·8 | 9.99639·6 | 9.99628·8 | ||||
20 | 9.99683·6 | 9.99672·1 | 9.99660·9 | 9.99649·7 | 9.99638·5 | 9.99627·6 | ||||
30 | 9.99682·6 | 9.99671·1 | 9.99659·8 | 9.99648·6 | 9.99637·4 | 9.99226·5 | ||||
40 | 9.99681·6 | 9.99670·1 | 9.99658·8 | 9.99647·5 | 9.99636·3 | 9.99625·3 | ||||
50 | 9.99680·6 | 9.99669·0 | 9.99657·7 | 9.99646·4 | 9.99635·2 | 9.99624·2 | ||||
59 | 0 | 9.99679·6 | 9.99668·0 | 9.99656·6 | 9.99645·3 | 9.99634·0 | 9.99623·0 | |||
10 | 9.99678·6 | 9.99667·0 | 9.99655·6 | 9.99644·2 | 9.99632·9 | 9.99621·9 | ||||
20 | 9.99677·6 | 9.99666·0 | 9.99654·5 | 9.99643·1 | 9.99631·8 | 9.99620·7 | ||||
30 | 9.99676·6 | 9.99664·9 | 9.99653·5 | 9.99642·0 | 9.99630·7 | 9.99619·6 | ||||
40 | 9.99675·6 | 9.99663·9 | 9.99652·4 | 9.99640·9 | 9.99629·6 | 9.99618·4 | ||||
50 | 9.99674·6 | 9.99662·9 | 9.99651·4 | 9.99639·8 | 9.99628·4 | 9.99617·3 | ||||
60 | 0 | 9.99673·7 | 9.99661·9 | 9.99650·3 | 9.99638·7 | 9.99627·3 | 9.99616·1 | |||
10 | 9.99672·7 | 9.99660·8 | 9.99649·3 | 9.99637·7 | 9.99626·2 | 9.99615·0 | ||||
20 | 9.99671·7 | 9.99659·8 | 9.99648·2 | 9.99636·6 | 9.99625·1 | 9.99613·8 | ||||
30 | 9.99970·7 | 9.99658·8 | 9.99647·1 | 9.99635·5 | 9.99624·0 | 9.99612·6 | ||||
40 | 9.99669·7 | 9.99657·8 | 9.99646·1 | 9.99634·4 | 9.99622·8 | 9.99611·5 | ||||
50 | 9.99668·7 | 9.99656·7 | 9.99645·0 | 9.99633·3 | 9.99621·7 | 9.99610·3 | ||||
61 | 0 | 9.99667·7 | 9.99655·7 | 9.99643·9 | 9.99632·2 | 9.99620·6 | 9.99609·1 | |||
10 | 9.99666·7 | 9.99654·7 | 9.99642·9 | 9.99631·2 | 9.99619·5 | 9.99608·0 | ||||
20 | 9.99665·7 | 9.99653·7 | 9.99641·8 | 9.99630·1 | 9.99618·4 | 9.99606·8 | ||||
30 | 9.99664·7 | 9.99652·6 | 9.99640·8 | 9.99629·0 | 9.99617·3 | 9.99605·7 | ||||
40 | 9.99663·7 | 9.99651·6 | 9.99639·7 | 9.99627·9 | 9.99616·1 | 9.99604·5 | ||||
50 | 9.99662·7 | 9.99650·6 | 9.99638·6 | 9.99626·8 | 9.99615·0 | 9.99603·4 | ||||
62 | 0 | 9.99661·7 | 9.99649·6 | 9.99637·6 | 9.99625·7 | 9.99613·9 | 9.99602·2 |
[page] 23
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
33° | 34° | 35° | 36° | 37° | 38° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99654·5 | 9.99644·7 | 9.99635·1 | 9.99625·6 | 9.99616·2 | 9.99606·9 | |||
10 | 9.99653·3 | 9.99643·5 | 9.99633·9 | 9.99624·3 | 9.99614·9 | 9.99605·6 | ||||
20 | 9.99652·1 | 9.99642·3 | 9.99632·6 | 9.99623·1 | 9.99613·6 | 9.99604·2 | ||||
30 | 9.99651·0 | 9.99641·1 | 9.99631·4 | 9.99621·8 | 9.99612·3 | 9.99602·9 | ||||
40 | 9.99649·8 | 9.99639·9 | 9.99630·2 | 9.99620·5 | 9.99611·0 | 9.99601·6 | ||||
50 | 9.99648·6 | 9.99638·6 | 9.99628·9 | 9.99619·3 | 9.99609·7 | 9.99600·3 | ||||
54 | 0 | 9.99647·4 | 9.99637·4 | 9.99627·7 | 9.99618·0 | 9.99608·4 | 9.99598·9 | |||
10 | 9.99646·2 | 9.99636·2 | 9.99626·4 | 9.99616·7 | 9.99607·1 | 9.99597·6 | ||||
20 | 9.99645·0 | 9.99635·0 | 9.99625·2 | 9.99615·4 | 9.99605·8 | 9.99596·3 | ||||
30 | 9.99643·8 | 9.99633·8 | 9.99623·9 | 9.99614·2 | 9.99604·5 | 9.99595·0 | ||||
40 | 9.99642·7 | 9.99632·6 | 9.99622·7 | 9.99612·9 | 9.99603·2 | 9.99593·6 | ||||
50 | 9.99641·5 | 9.99631·4 | 9.99621·4 | 9.99611·6 | 9.99601·9 | 9.99592·3 | ||||
55 | 0 | 9.99640·3 | 9.99630·2 | 9.99620·2 | 9.99310·3 | 9.99600·6 | 9.99591·0 | |||
10 | 9.99639·1 | 9.99628·9 | 9.99619·0 | 9.99609·1 | 9.99599·3 | 9.99589·6 | ||||
20 | 9.99637·9 | 9.99627·7 | 9.99617·7 | 9.99607·8 | 9.99598·0 | 9.99588·3 | ||||
30 | 9.99636·8 | 9.99626·5 | 9.99616·5 | 9.99606·5 | 9.99596·7 | 9.99587·0 | ||||
40 | 9.99635·6 | 9.99625·3 | 9.99615·3 | 9.99605·2 | 9.99595·4 | 9.99585·6 | ||||
50 | 9.99634·4 | 9.99624·1 | 9.99614·0 | 9.99604·0 | 9.99594·1 | 9.99584·3 | ||||
56 | 0 | 9.99633·2 | 9.99622·9 | 9.99612·8 | 9.99602·7 | 9.99592·8 | 9.99583·0 | |||
10 | 9.99632·1 | 9.99621·7 | 9.99611·5 | 9.99601·4 | 9.99591·5 | 9.99581·6 | ||||
20 | 9.99630·9 | 9.99620·5 | 9.99610·3 | 9.99600·2 | 9.99590·2 | 9.99580·3 | ||||
30 | 9.99629·7 | 9.99619·3 | 9.99609·0 | 9.99598·9 | 9.99588·9 | 9.99579·0 | ||||
40 | 9.99628·5 | 9.99518·1 | 9.99607·8 | 9.99597·6 | 9.99587·6 | 9.99577·6 | ||||
50 | 9.99627·3 | 9.99616·9 | 9.99606·5 | 9.99596·3 | 9.99586·3 | 9.99576·3 | ||||
57 | 0 | 9.99626·2 | 9.99615·7 | 9.99605·3 | 9.99595·1 | 9.99585·0 | 9.99575·0 | |||
10 | 9.99625·0 | 9.99614·4 | 9.99604·1 | 9.99593·8 | 9.99583·7 | 9.99573·6 | ||||
20 | 9.99623·8 | 9.99613·2 | 9.99602·8 | 9.99592·6 | 9.99582·4 | 9.99572·3 | ||||
30 | 9.99622·6 | 9.99612·0 | 9.99601·6 | 9.99591·3 | 9.99581·1 | 9.99571·0 | ||||
40 | 9.99621·4 | 9.99610·8 | 9.99600·3 | 9.99590·0 | 9.99579·8 | 9.99569·6 | ||||
50 | 9.99620·3 | 9.99609·6 | 9.99599·1 | 9.99588·7 | 9.99578·5 | 9.99568·3 | ||||
58 | 0 | 9.99619·1 | 9.99608·4 | 9.99597·9 | 9.99587·5 | 9.99577·2 | 9.99567·0 | |||
10 | 9.99617·9 | 9.99607·2 | 9.99596·6 | 9.99586·2 | 9.99575·9 | 9.99565·6 | ||||
20 | 9.99616·7 | 9.99606·0 | 9.99595·4 | 9.99584·9 | 9.99574·6 | 9.99564·3 | ||||
30 | 9.99615·5 | 9.99604·7 | 9.99594·1 | 9.99583·6 | 9.99573·3 | 9.99563·0 | ||||
40 | 9.99614·4 | 9.99603·5 | 9.99592·9 | 9.99582·4 | 9.99572·0 | 9.99561·6 | ||||
50 | 9.99613·2 | 9.99602·3 | 9.99591·6 | 9.99581·1 | 9.99570·7 | 9.99560·3 | ||||
59 | 0 | 9.99612·0 | 9.99601·1 | 9.99590·4 | 9.99579·8 | 9.99569·4 | 9.99559·0 | |||
10 | 9.99610·8 | 9.99599·9 | 9.99589·2 | 9.99578·5 | 9.99568·0 | 9.99557·6 | ||||
20 | 9.99609·6 | 9.99598·7 | 9.99587·9 | 9.99577·3 | 9.99566·7 | 9.99556·3 | ||||
30 | 9.99608·5 | 9.99597·5 | 9.99586·7 | 9.99576·0 | 9.99565·4 | 9.99555·0 | ||||
40 | 9.99607·3 | 9.99596·3 | 9.99585·5 | 9.99574·7 | 9.99564·1 | 9.99553·6 | ||||
50 | 9.99606·1 | 9.99595·1 | 9.99584·2 | 9.99573·5 | 9.99562·8 | 9.99552·3 | ||||
60 | 0 | 9.99604·9 | 9.99593·9 | 9.99583·0 | 9.99572·2 | 9.99561·5 | 9.99551·0 | |||
10 | 9.99603·7 | 9.99592·6 | 9.99581·7 | 9.99570·9 | 9.99560·2 | 9.99549·6 | ||||
20 | 9.99602·5 | 9.99591·4 | 9.99580·5 | 9.99569·6 | 9.99558·9 | 9.99548·3 | ||||
30 | 9.99601·4 | 9.99590·2 | 9.99579·2 | 9.99568·4 | 9.99557·6 | 9.99547·0 | ||||
40 | 9.99600·2 | 9.99589·0 | 9.99578·0 | 9.99567·1 | 9.99556·3 | 9.99545·6 | ||||
50 | 9.99599·0 | 9.99587·8 | 9.99576·7 | 9.99565·8 | 9.99555·0 | 9.99544·3 | ||||
61 | 0 | 9.99597·8 | 9.99586·6 | 9.99575·5 | 9.99564·5 | 9.99553·7 | 9.99543·0 | |||
10 | 9.99596·6 | 9.99585·3 | 9.99574·2 | 9.99563·3 | 9.99552·4 | 9.99541·6 | ||||
20 | 9.99595·4 | 9.99584·1 | 9.99573·0 | 9.99562·0 | 9.99551·1 | 9.99540·3 | ||||
30 | 9.99594·3 | 9.99582·9 | 9.99571·7 | 9.99560·7 | 9.99549·8 | 9.99539·0 | ||||
40 | 9.99593·1 | 9.99581·7 | 9.99570·5 | 9.99559·4 | 9.99548·5 | 9.99537·6 | ||||
50 | 9.99591·9 | 9.99580·5 | 9.99569·2 | 9.99558·2 | 9.99547·2 | 9.99536·3 | ||||
62 | 0 | 9.99590·7 | 9.99579·3 | 9.99568·0 | 9.99556·9 | 9.99545·9 | 9.99535·0 |
[page] 24
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
39° | 40° | 41° | 42° | 43° | 44° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99597·7 | 9.99588·7 | 9.99579·8 | 9.99571·1 | 9.99562·5 | 9.99554·0 | |||
10 | 9.99596·4 | 9.99587·3 | 9.99578·4 | 9.99569·7 | 9.99561·0 | 9.99552·5 | ||||
20 | 9.99595·0 | 9.99585·9 | 9.99577·0 | 9.99568·2 | 9.99559·5 | 9.99551·0 | ||||
30 | 9.99593·7 | 9.99584·6 | 9.99575·6 | 9.99566·8 | 9.99558·1 | 9.99549·5 | ||||
40 | 9.99592·3 | 9.99583·2 | 9.99574·1 | 9.99565·3 | 9.99556·6 | 9.99548·0 | ||||
50 | 9.99591·0 | 9.99581·8 | 9.99572·7 | 9.99563·9 | 9.99555·1 | 9.99546·5 | ||||
54 | 0 | 9.99589·6 | 9.99580·4 | 9.99571·3 | 9.99562·4 | 9.99553·6 | 9.99545·0 | |||
10 | 9.99588·3 | 9.99579·0 | 9.99569·9 | 9.99561·0 | 9.99552·2 | 9.99543·5 | ||||
20 | 9.99586·9 | 9.99577·6 | 9.99568·5 | 9.99559·6 | 9.99550·7 | 9.99542·0 | ||||
30 | 9.99585·6 | 9.99576·2 | 9.99567·1 | 9.99558·1 | 9.99549·2 | 9.99540·5 | ||||
40 | 9.99584·2 | 9.99574·8 | 9.99565·7 | 9.99556·7 | 9.99547·8 | 9.99539·0 | ||||
50 | 9.99582·9 | 9.99573·5 | 9.99564·3 | 9.99555·2 | 9.99546·3 | 9.99537·5 | ||||
55 | 0 | 9.99581·5 | 9.99572·1 | 9.99562·8 | 9.99553·8 | 9.99544·8 | 9.99536·0 | |||
10 | 9.99580·1 | 9.99570·7 | 9.99561·4 | 9.99552·3 | 9.99543·4 | 9.99534·5 | ||||
20 | 9.99578·8 | 9.99569·3 | 9.99560·0 | 9.99550·9 | 9.99541·9 | 9.99533·1 | ||||
30 | 9.99577·4 | 9.99567·9 | 9.99558·6 | 9.99549·4 | 9.99540·4 | 9.99531·6 | ||||
40 | 9.99576·1 | 9.99566·5 | 9.99557·2 | 9.99548·0 | 9.99539·0 | 9.99530·1 | ||||
50 | 9.99574·7 | 9.99565·2 | 9.99555·8 | 9.99546·5 | 9.99537·5 | 9.99528·6 | ||||
56 | 0 | 9.99573·3 | 9.99563·8 | 9.99554·4 | 9.99545·1 | 9.99536·0 | 9.99527·1 | |||
10 | 9.99572·0 | 9.99562·4 | 9.99552·9 | 9.99543·7 | 9.99534·6 | 9.99525·6 | ||||
20 | 9.99570·6 | 9.99561·0 | 9.99551·5 | 9.99542·2 | 9.99533·1 | 9.99524·1 | ||||
30 | 9.99569·3 | 9.99559·6 | 9.99550·1 | 9.99540·8 | 9.99531·6 | 9.99522·6 | ||||
40 | 9.99567·9 | 9.99558·2 | 9.99548·7 | 9.99539·4 | 9.99530·2 | 9.99521·1 | ||||
50 | 9.99566·6 | 9.99556·8 | 9.99547·3 | 9.99537·9 | 9.99528·7 | 9.99519·5 | ||||
57 | 0 | 9.99565·2 | 9.99555·4 | 9.99545·9 | 9.99536·5 | 9.99527·2 | 9.99518·1 | |||
10 | 9.99563·8 | 9.99554·1 | 9.99544·4 | 9.99535·0 | 9.99525·8 | 9.99516·6 | ||||
20 | 9.99562·5 | 9.99552·7 | 9.99543·0 | 9.99533·6 | 9.99524·3 | 9.99515·1 | ||||
30 | 9.99561·1 | 9.99551·3 | 9.99541·6 | 9.99532·1 | 9.99522·8 | 9.99513·6 | ||||
40 | 9.99559·7 | 9.99549·9 | 9.99540·2 | 9.99530·7 | 9.99521·4 | 9.99512·1 | ||||
50 | 9.99558·4 | 9.99548·5 | 9.99538·8 | 9.99529·2 | 9.99519·9 | 9.99510·6 | ||||
58 | 0 | 9.99557·0 | 9.99547·1 | 9.99537·4 | 9.99527·8 | 9.99518·4 | 9.99509·1 | |||
10 | 9.99555·6 | 9.99545·7 | 9.99535·9 | 9.99526·3 | 9.99516·9 | 9.99507·6 | ||||
20 | 9.99554·3 | 9.99544·3 | 9.99534·5 | 9.99524·9 | 9.99515·5 | 9.99506·1 | ||||
30 | 9.99552·9 | 9.99542·9 | 9.99533·1 | 9.99523·4 | 9.99514·0 | 9.99504·6 | ||||
40 | 9.99551·6 | 9.99541·6 | 9.99531·7 | 9.99522·0 | 9.99512·5 | 9.99503·1 | ||||
50 | 9.99550·2 | 9.99540·2 | 9.99530·3 | 9.99520 5 | 9.99511·0 | 9.99501·6 | ||||
59 | 0 | 9.99548·8 | 9.99538·8 | 9.99528·9 | 9.99519·1 | 9.99509·5 | 9.99500·1 | |||
10 | 9.99547·5 | 9.99537·4 | 9.99527·4 | 9.99517·7 | 9.99508·1 | 9.99498·6 | ||||
20 | 9.99546·1 | 9.99536·0 | 9.99526·0 | 9.99516·3 | 9.99506·6 | 9.99497·1 | ||||
30 | 9.99544·7 | 9.99534·6 | 9.99524·6 | 9.99514·8 | 9.99505·1 | 9.99495·6 | ||||
40 | 9.99543·4 | 9.99533·2 | 9.99523·2 | 9.99513·4 | 9.99503·7 | 9.99494·1 | ||||
50 | 9.99542·0 | 9.99531·8 | 9.99521·8 | 9.99511·9 | 9.99502·2 | 9.99492·6 | ||||
60 | 0 | 9.99540·7 | 9.99530·4 | 9.99520·4 | 9.99510·5 | 9.99500·7 | 9.99491·1 | |||
10 | 9.99539·3 | 9.99529·1 | 9.99518·9 | 9.99509·0 | 9.99499·3 | 9.99489·6 | ||||
20 | 9.99537·9 | 9.99527·7 | 9.99517·5 | 9.99507·6 | 9.99497·8 | 9.99488·1 | ||||
30 | 9.99536·6 | 9.99526·3 | 9.99516·1 | 9.99506·1 | 9.99496·3 | 9.99486·6 | ||||
40 | 9.99535·2 | 9.99524·9 | 9.99514·7 | 9.99504·7 | 9.99494·9 | 9.99485·1 | ||||
50 | 9.99533·8 | 9.99523·5 | 9.99513·3 | 9.99503·2 | 9.99493·4 | 9.99483·6 | ||||
61 | 0 | 9.99532·5 | 9.99522·1 | 9.99511·9 | 9.99501·8 | 9.99491·9 | 9.99482·1 | |||
10 | 9.99531·1 | 9.99520·7 | 9.99510·4 | 9.99500·3 | 9.99490·4 | 9.99480·6 | ||||
20 | 9.99529·7 | 9.99519·3 | 9.99509·0 | 9.99498·9 | 9.99489·0 | 9.99479·1 | ||||
30 | 9.99528·4 | 9.99518·0 | 9.99507·6 | 9.99497·4 | 9.99487·5 | 9.99477·6 | ||||
40 | 9.99527·0 | 9.99516·6 | 9.99506·2 | 9.99496·0 | 9.99486·0 | 9.99476·1 | ||||
50 | 9.99525·6 | 9.99515·2 | 9.99504·8 | 9.99494·5 | 9.99484·5 | 9.99474·6 | ||||
62 | 0 | 9.99524·3 | 9.99513·8 | 9.99503·3 | 9.99493·1 | 9.99483·0 | 9.99473·1 |
[page] 25
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
45° | 46° | 47° | 48° | 49° | 50° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99545·6 | 9.99537·4 | 9.99529·4 | 9.99521·5 | 9.99513·7 | 9.99506·1 | |||
10 | 9.99544·1 | 9.99535·9 | 9.99527·9 | 9.99519·9 | 9.99512·1 | 9.99504·5 | ||||
20 | 9.99542·6 | 9.99534·4 | 9.99526·3 | 9.99518·3 | 9.99510·5 | 9.99502·8 | ||||
30 | 9.99541·0 | 9.99532·8 | 9.99524·7 | 9.99516·7 | 9.99508·9 | 9.99501·2 | ||||
40 | 9.99539·5 | 9.99531·3 | 9.99523·1 | 9.99515·1 | 9.99507·2 | 9.99499·5 | ||||
50 | 9.99538·0 | 9.99529·8 | 9.99521·6 | 9.99513·5 | 9.99505·6 | 9.99497·9 | ||||
54 | 0 | 9.99536·5 | 9.99528·2 | 9.99520·0 | 9.99511·9 | 9.99504·0 | 9.99496·2 | |||
10 | 9.99535·0 | 9.99526·7 | 9.99518·4 | 9.99510·3 | 9.99502·4 | 9.99494·6 | ||||
20 | 9.99533·4 | 9.99525·1 | 9.99516·8 | 9.99508·7 | 9.99500·8 | 9.99493·0 | ||||
30 | 9.99531·9 | 9.99523·6 | 9.99515·3 | 9.99507·1 | 9.99499·1 | 9.99491·3 | ||||
40 | 9.99530·4 | 9.99522·0 | 9.99513·7 | 9.99505·5 | 9.99497·5 | 9.99489·7 | ||||
50 | 9.99528·9 | 9.99520·5 | 9.99512·1 | 9.99503·9 | 9.99495·9 | 9.99488·0 | ||||
55 | 0 | 9.99527·4 | 9.99518·9 | 9.99510·5 | 9.99502·3 | 9.99494·3 | 9.99486·4 | |||
10 | 9.99525·8 | 9.99517·4 | 9.99508·9 | 9.99500·7 | 9.99492·6 | 9.99484·7 | ||||
20 | 9.99524·3 | 9.99515·8 | 9.99507·4 | 9.99499·1 | 9.99491·0 | 9.99483·1 | ||||
30 | 9.99522·8 | 9.99514·3 | 9.99505·8 | 9.99497·5 | 9.99489·4 | 9.99481·4 | ||||
40 | 9.99521·3 | 9.99512·7 | 9.99504·2 | 9.99495·9 | 9.99487·8 | 9.99479·8 | ||||
50 | 9.99519·7 | 9.99511·2 | 9.99502·6 | 9.99494·3 | 9.99486·1 | 9.99478·1 | ||||
56 | 0 | 9.99518·2 | 9.99509·6 | 9.99501·1 | 9.99492·7 | 9.99484·5 | 9.99476·5 | |||
10 | 9.99516·7 | 9.99508·0 | 9.99499·5 | 9.99491·1 | 9.99482·9 | 9.99474·8 | ||||
20 | 9.99515·2 | 9.99506·5 | 9.99497·9 | 9.99489·5 | 9.99481·3 | 9.99473·2 | ||||
30 | 9.99513·6 | 9.99504·9 | 9.99496·4 | 9.99487·9 | 9.99479·6 | 9.99471·5 | ||||
40 | 9.99512·1 | 9.99503·4 | 9.99494·8 | 9.99486·3 | 9.99478·0 | 9.99469·9 | ||||
50 | 9.99510·6 | 9.99501·8 | 9.99493·2 | 9.99484·7 | 9.99476·4 | 9.99468·2 | ||||
57 | 0 | 9.99509·1 | 9.99500·3 | 9.99491·6 | 9.99483·1 | 9.99474·8 | 9.99466·6 | |||
10 | 9.99507·6 | 9.99498·7 | 9.99490·1 | 9.99481·5 | 9.99473·1 | 9.99464·9 | ||||
20 | 9.99506·0 | 9.99497·2 | 9.99488·5 | 9.99479·9 | 9.99471·5 | 9.99463·3 | ||||
30 | 9.99504·5 | 9.99495·6 | 9.99486·9 | 9.99478·3 | 9.99469·9 | 9.99461·6 | ||||
40 | 9.99503·0 | 9.99494·1 | 9.99485·3 | 9.99476·7 | 9.99468·3 | 9.99460·0 | ||||
50 | 9.99501·5 | 9.99492·5 | 9.99483·7 | 9.99475·1 | 9.99466·6 | 9.99458·3 | ||||
58 | 0 | 9.99500·0 | 9.99491·0 | 9.99482·2 | 9.99473·5 | 9.99465·0 | 9.99456·7 | |||
10 | 9.99498·4 | 9.99489·4 | 9.99480·6 | 9.99471·9 | 9.99463·4 | 9.99455·0 | ||||
20 | 9.99496·9 | 9.99487·9 | 9.99479·0 | 9.99470·3 | 9.99461·8 | 9.99453·4 | ||||
30 | 9.99495·4 | 9.99486·3 | 9.99477·5 | 9.99468·7 | 9.99400·1 | 9.99451·7 | ||||
40 | 9.99493·9 | 9.99484·8 | 9.99475·9 | 9.99467·1 | 9.99458·5 | 9.99450·1 | ||||
50 | 9.99492·3 | 9.99483·2 | 9.99474·3 | 9.99465·5 | 9.99456·9 | 9.99448·4 | ||||
59 | 0 | 9.99490·8 | 9.99481·7 | 9.99472·7 | 9.99463·9 | 9.99455·3 | 9.99446·8 | |||
10 | 9.99489·3 | 9.99470·1 | 9.99471·2 | 9.99462·3 | 9.99453·6 | 9.99445·1 | ||||
20 | 9.99487·8 | 9.99478·6 | 9.99469·6 | 9.99460·7 | 9.99452·0 | 9.99443·5 | ||||
30 | 9.99486·2 | 9.99477·0 | 9.99468·0 | 9.99459·1 | 9.99450·4 | 9.99441·8 | ||||
40 | 9.99484·7 | 9.99475·5 | 9.99466·5 | 9.99457·5 | 9.99448·8 | 9.99440·2 | ||||
50 | 9.99483·2 | 9.99473·9 | 9.99464·9 | 9.99455·9 | 9.99447·2 | 9.99438·5 | ||||
60 | 0 | 9.99481·7 | 9.99472·4 | 9.99493·3 | 9.99454·3 | 9.99445·5 | 9.99436·9 | |||
10 | 9.99480·1 | 9.99470·8 | 9.99461·7 | 9.99452·7 | 9.99443·9 | 9.99435·2 | ||||
20 | 9.99478·6 | 9.99469·3 | 9.99460·1 | 9.99451·1 | 9.99442·3 | 9.99433·6 | ||||
30 | 9.99477·1 | 9.99467·7 | 9.99458·6 | 9.99449·5 | 9.99440·7 | 9.99431·9 | ||||
40 | 9.99475·6 | 9.99466·2 | 9.99457·0 | 9.99447·9 | 9.99439·0 | 9.99430·3 | ||||
50 | 9.99474·0 | 9.99464·6 | 9.99455·4 | 9.99446·3 | 9.99437·4 | 9.99428·6 | ||||
61 | 0 | 9.99472·5 | 9.99463·1 | 9.99453·8 | 9.99444·7 | 9.99435·8 | 9.99427·0 | |||
10 | 9.99471·0 | 9.99461·5 | 9.99452·3 | 9.99443·1 | 9.99434·2 | 9.99425·3 | ||||
20 | 9.99469·5 | 9.99460·0 | 9.99450·7 | 9.99441·5 | 9.99432·5 | 9.99423·7 | ||||
30 | 9.99467·9 | 9.99458·4 | 9.99449·1 | 9.99439·9 | 9.99430·9 | 9.99422·0 | ||||
40 | 9.99466·4 | 9.99456·9 | 9.99447·6 | 9.99438·3 | 9.99429·3 | 9.99420·4 | ||||
50 | 9.99464·9 | 9.99455·3 | 9.99446·0 | 9.99436·7 | 9.99427·7 | 9.99418·7 | ||||
62 | 0 | 9.99463·4 | 9.99453·8 | 9.99444·4 | 9.99435·1 | 9.99426·0 | 9.99417·1 |
D
[page] 26
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
51° | 52° | 53° | 54° | 55° | 56° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99498·6 | 9.99491·3 | 9.99484·2 | 9.99477·3 | 9.99470·5 | 9.99463·9 | |||
10 | 9.99496·9 | 9.99489·6 | 9.99482·5 | 9.99475·6 | 9.99468·7 | 9.99462·1 | ||||
20 | 9.99495·2 | 9.99487·9 | 9.99480·8 | 9.99473·8 | 9.99467·0 | 9.99460·3 | ||||
30 | 9.99493·6 | 9.99486·2 | 9.99479·1 | 9.99472·1 | 9.99465·2 | 9.99458·6 | ||||
40 | 9.99491·9 | 9.99484·6 | 9.99477·4 | 9.99470·3 | 9.99463·5 | 9.99456·8 | ||||
50 | 9.99490·2 | 9.99482·9 | 9.99475·7 | 9.99468·6 | 9.99461·7 | 9.99455·0 | ||||
54 | 0 | 9.99488·6 | 9.99481·2 | 9.99473·9 | 9.99466·8 | 9.99459·9 | 9.99453·2 | |||
10 | 9.99486·9 | 9.99479·5 | 9.99472·2 | 9.99465·1 | 9.99458·2 | 9.99451·4 | ||||
20 | 9.99485·2 | 9.99477·8 | 9.99470·5 | 9.99463·4 | 9.99456·4 | 9.99449·6 | ||||
30 | 9.99483·6 | 9.99476·1 | 9.99468·8 | 9.99461·6 | 9.99454·7 | 9.99447·9 | ||||
40 | 9.99481·7 | 9.99474·4 | 9.99467·1 | 9.99459·9 | 9.99452·9 | 9.99446·1 | ||||
50 | 9.99480·2 | 9.99472·7 | 9.99465·4 | 9.99458·2 | 9.99451·2 | 9.99444·3 | ||||
55 | 0 | 9.99478·6 | 9.99471·0 | 9.99463·7 | 9.99456·4 | 9.99449·4 | 9.99442·5 | |||
10 | 9.99476·9 | 9.99469·3 | 9.99461·9 | 9.99454·7 | 9.99447·6 | 9.99440·8 | ||||
20 | 9.99475·2 | 9.99467·6 | 9.99460·2 | 9.99453·0 | 9.99445·9 | 9.99439·0 | ||||
30 | 9.99473·6 | 9.99466·0 | 9.99458·5 | 9.99451·2 | 9.99444·1 | 9.99437·2 | ||||
40 | 9.99471·9 | 9.99464·3 | 9.99456·8 | 9.99449·5 | 9.99442·3 | 9.99435·4 | ||||
50 | 9.99470·2 | 9.99462·6 | 9.99455·1 | 9.99447·8 | 9.99440·6 | 9.99433·7 | ||||
56 | 0 | 9.99468·6 | 9.99460·9 | 9.99453·4 | 9.99446·0 | 9.99438·8 | 9.99431·9 | |||
10 | 9.99466·9 | 9.99459·2 | 9.99451·6 | 9.99444·3 | 9.99437·1 | 9.99430·1 | ||||
20 | 9.99465·2 | 9.99457·5 | 9.99449·9 | 9.99442·5 | 9.99435·3 | 9.99428·3 | ||||
30 | 9.99463·6 | 9.99455·8 | 9.99448·2 | 9.99440·8 | 9.99433·6 | 9.99426·5 | ||||
40 | 9.99461·9 | 9.99454·1 | 9.99446·5 | 9.99439·1 | 9.99431·8 | 9.99424·7 | ||||
50 | 9.99460·2 | 9.99452·4 | 9.99444·8 | 9.99437·3 | 9.99430·1 | 9.99423·0 | ||||
57 | 0 | 9.99458·6 | 9.99450·7 | 9.99443·1 | 9.99435·6 | 9.99428·3 | 9.99421·2 | |||
10 | 9.99456·9 | 9.99449·0 | 9.99441·4 | 9.99433·9 | 9.99426·5 | 9.99419·4 | ||||
20 | 9.99455·2 | 9.99447·3 | 9.99439·6 | 9.99432·1 | 9.99424·8 | 9.99417·6 | ||||
30 | 9.99453·6 | 9.99445·7 | 9.99437·9 | 9.99430·4 | 9.99423·0 | 9.99415·8 | ||||
40 | 9.99451·9 | 9.99444·0 | 9.99436·2 | 9.99428·7 | 9.99421·3 | 9.99414·0 | ||||
50 | 9.99450·2 | 9.99442·3 | 9.99434·5 | 9.99426·9 | 9.99419·5 | 9.99412·3 | ||||
58 | 0 | 9.99448·6 | 9.99440·6 | 9.99432·8 | 9.99425·2 | 9.99417·7 | 9.99410·5 | |||
10 | 9.99446·9 | 9.99438·9 | 9.99431·1 | 9.99423·4 | 9.99416·0 | 9.99408·7 | ||||
20 | 9.99445·2 | 9.99437·2 | 9.99429·4 | 9.99421·7 | 9.99414·2 | 9.99406·9 | ||||
30 | 9.99443·6 | 9.99435·5 | 9.99427·6 | 9.99420·0 | 9.99412·5 | 9.99405·1 | ||||
40 | 9.99441·9 | 9.99433·8 | 9.99425·9 | 9.99418·2 | 9.99410·7 | 9.99403·3 | ||||
50 | 9.99440·2 | 9.99432·1 | 9.99424·2 | 9.99416·5 | 9.99409·0 | 9.99401·6 | ||||
59 | 0 | 9.99438·5 | 9.99430·4 | 9.99422·5 | 9.99414·7 | 9.99407·2 | 9.99399·8 | |||
10 | 9.99436·9 | 9.99428·7 | 9.99420·8 | 9.99413·0 | 9.99405·4 | 9.99398·0 | ||||
20 | 9.99435·2 | 9.99427·0 | 9.99419·1 | 9.99411·2 | 9.99403·7 | 9.99396·2 | ||||
30 | 9.99433·5 | 9.99425·3 | 9.99417·4 | 9.99409·5 | 9.99401·9 | 9.99394·4 | ||||
40 | 9.99431·9 | 9.99423·6 | 9.99415·6 | 9.99407·8 | 9.99400·2 | 9.99392·7 | ||||
50 | 9.99430·2 | 9.99421·9 | 9.99413·9 | 9.99406·0 | 9.99398·4 | 9.99390·9 | ||||
60 | 0 | 9.99428·5 | 9.99420·2 | 9.99412·2 | 9.99404·3 | 9.99396·6 | 9.99389·1 | |||
10 | 9.99426·9 | 9.99418·5 | 9.99410·5 | 9.99402·6 | 9.99394·9 | 9.99387·3 | ||||
20 | 9.99425·2 | 9.99416·8 | 9.99408·8 | 9.99400·8 | 9.99393·1 | 9.99385·5 | ||||
30 | 9.99423·5 | 9.99415·2 | 9.99407·1 | 9.99399·1 | 9.99391·3 | 9.99383·7 | ||||
40 | 9.99421·9 | 9.99413·5 | 9.99405·4 | 9.99397·4 | 9.99389·6 | 9.99382·0 | ||||
50 | 9.99420·2 | 9.99411·8 | 9.99403·6 | 9.99395·6 | 9.99387·8 | 9.99380·2 | ||||
61 | 0 | 9.99418·5 | 9.99410·1 | 9.99401·9 | 9.99393·9 | 9.99386·0 | 9.99378·4 | |||
10 | 9.99416·8 | 9.99408·4 | 9.99400·2 | 9.99392·1 | 9.99384·3 | 9.99376·6 | ||||
20 | 9.99415·2 | 9.99406·7 | 9.99398·5 | 9.99390·4 | 9.99382·5 | 9.99374·8 | ||||
30 | 9.99413·5 | 9.99405·0 | 9.99396·8 | 9.99388·6 | 9.99380·8 | 9.99373·1 | ||||
40 | 9.99411·8 | 9.99403·3 | 9.99395·1 | 9.99386·9 | 9.99379·0 | 9.99371·3 | ||||
50 | 9.99410·1 | 9.99401·6 | 9.99393·4 | 9.99385·1 | 9.99377·3 | 9.99369·5 | ||||
62 | 0 | 9.99408·4 | 9.99399·9 | 9.99391·6 | 9.99383·4 | 9.99375·5 | 9.99367·7 |
[page] 27
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
57° | 58° | 59° | 60° | 61° | 62° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99457·4 | 9.99451·2 | 9.99445·1 | 9.99439·2 | 9.99433·5 | 9.99427·9 | |||
10 | 9.99455·6 | 9.99449·4 | 9.99443·2 | 9.99437·4 | 9.99431·6 | 9.99426·0 | ||||
20 | 9.99453·8 | 9.99447·6 | 9.99441·4 | 9.99435·5 | 9.99429·7 | 9.99424·1 | ||||
30 | 9.99452·0 | 9.99445·8 | 9.99439·6 | 9.99433·7 | 9.99427·9 | 9.99422·2 | ||||
40 | 9.99450·2 | 9.99443·9 | 9.99437·7 | 9.99431·8 | 9.99426·0 | 9.99420·3 | ||||
50 | 9.99448·4 | 9.99442·1 | 9.99435·9 | 9.99430·0 | 9.99424·1 | 9.99418·4 | ||||
54 | 0 | 9.99446·6 | 9.99440·3 | 9.99434·1 | 9.99428·1 | 9.99422·2 | 9.99416·5 | |||
10 | 9.99444·8 | 9.99438·5 | 9.99432·2 | 9.99426·3 | 9.99420·4 | 9.99414·6 | ||||
20 | 9.99443·0 | 9.99436·6 | 9.99430·4 | 9.99424·4 | 9.99418·5 | 9.99412·7 | ||||
30 | 9.99441·2 | 9.99434·8 | 9.99428·5 | 9.99422·5 | 9.99416·6 | 9.99410·9 | ||||
40 | 9.99439·4 | 9.99433·0 | 9.99426·7 | 9.99420·7 | 9.99414·7 | 9.99409·0 | ||||
50 | 9.99437·6 | 9.9941·2 | 9.99424·9 | 9.99418·8 | 9.99412·9 | 9.99407·1 | ||||
55 | 0 | 9.99435·8 | 9.99429·4 | 9.99423·0 | 9.99416·9 | 9.99411·0 | 9.99405·2 | |||
10 | 9.99434·0 | 9.99427·5 | 9.99421·2 | 9.99415·1 | 9.99409·1 | 9.99403·3 | ||||
20 | 9.99432·2 | 9.99425·7 | 9.99419·4 | 9.99413·2 | 9.99407·2 | 9.99401·4 | ||||
30 | 9.99430·4 | 9.99423·9 | 9.99417·5 | 9.99411·4 | 9.99405·4 | 9.99399·5 | ||||
40 | 9.99428·6 | 9.99422·1 | 9.99415·7 | 9.99409·5 | 9.99403·5 | 9.99397·6 | ||||
50 | 9.99426·8 | 9.99420·3 | 9.99413·9 | 9.99407·7 | 9.99401·6 | 9.99395·7 | ||||
56 | 0 | 9.99425·0 | 9.99418·4 | 9.99412·0 | 9.99405·8 | 9.99399·7 | 9.99393·8 | |||
10 | 9.99423·2 | 9.99416·6 | 9.99410·2 | 9.99403·9 | 9.99397·8 | 9.99391·9 | ||||
20 | 9.99421·4 | 9.99414·8 | 9.99408·3 | 9.99402·1 | 9.99395·9 | 9.99390·0 | ||||
30 | 9.99419·6 | 9.99413·0 | 9.99406·5 | 9.99400·2 | 9.99394·0 | 9.99388·2 | ||||
40 | 9.99417·8 | 9.99411·2 | 9.99404·6 | 9.99398·4 | 9.99392·2 | 9.99386·3 | ||||
50 | 9.99416·0 | 9.99409·3 | 9.99400·8 | 9.99396·5 | 9.99390·3 | 9.99384·4 | ||||
57 | 0 | 9.99414·2 | 9.99407·5 | 9.99400·9 | 9.99394·6 | 9.99388·5 | 9.99382·5 | |||
10 | 9.99412·4 | 9.99405·7 | 9.99399·1 | 9.99392·8 | 9.99386·6 | 9.99380·6 | ||||
20 | 9.99410·6 | 9.99403·9 | 9.99397·3 | 9.99390·9 | 9.99384·7 | 9.99378·7 | ||||
30 | 9.99408·8 | 9.99402·1 | 9.99395·4 | 9.99389·1 | 9.99382·8 | 9.99376·8 | ||||
40 | 9.99407·0 | 9.99400·2 | 9.99393·6 | 9.99387·2 | 9.99381·0 | 9.99374·9 | ||||
50 | 9.99405·2 | 9.99398·4 | 9.99391·8 | 9.99385·4 | 9.99379·1 | 9.99373·0 | ||||
58 | 0 | 9.99403·4 | 9.99396·6 | 9.99389·9 | 9.99383·5 | 9.99377·2 | 9.99371·1 | |||
10 | 9.99401·6 | 9.99394·8 | 9.99388·1 | 9.99381·6 | 9.99375·3 | 9.99369·2 | ||||
20 | 9.99399·8 | 9.99393·0 | 9.99386·3 | 9.99379·8 | 9.99373·5 | 9.99367·3 | ||||
30 | 9.99398·0 | 9.99391·1 | 9.99384·4 | 9.99377·9 | 9.99371·6 | 9.99365·4 | ||||
40 | 9.99396·2 | 9.99389·3 | 9.99382·6 | 9.99376·0 | 9.99369·7 | 9.99363·5 | ||||
50 | 9.99394·4 | 9.99387·5 | 9.99380·8 | 9.99374·2 | 9.99367·8 | 9.99361·6 | ||||
59 | 0 | 9.99392·6 | 9.99385·7 | 9.99378·9 | 9.99372·3 | 9.99366·0 | 9.99359·7 | |||
10 | 9.99390·8 | 9.99383·9 | 9.99377·1 | 9.99370·5 | 9.99364·1 | 9.99357·9 | ||||
20 | 9.99389·0 | 9.99382·0 | 9.99375·3 | 9.99368·6 | 9.99362·2 | 9.99356·0 | ||||
30 | 9.99387·2 | 9.99380·2 | 9.99373·4 | 9.99366·8 | 9.99360·3 | 9.99354·1 | ||||
40 | 9.99385·4 | 9.99378·4 | 9.99371·6 | 9.99364·9 | 9.99358·4 | 9.99352·2 | ||||
50 | 9.99383·6 | 9.99376·6 | 9.99369·7 | 9.99363·0 | 9.99356·6 | 9.99350·3 | ||||
60 | 0 | 9.99381·8 | 9.99374·8 | 9.99367·9 | 9.99361·2 | 9.99354·7 | 9.99348·4 | |||
10 | 9.99380·0 | 9.99372·9 | 9.99366·0 | 9.99359·3 | 9.99352·8 | 9.99346·5 | ||||
20 | 9.99378·2 | 9.99371·1 | 9.99364·2 | 9.99357·4 | 9.99350·9 | 9.99344·6 | ||||
30 | 9.99376·4 | 9.99369·3 | 9.99362·3 | 9.99355·6 | 9.99349·0 | 9.99342·7 | ||||
40 | 9.99374·6 | 9.99367·5 | 9.99360·5 | 9.99353·7 | 9.99347·1 | 9.99340·8 | ||||
50 | 9.99372·8 | 9.99365·7 | 9.99358·7 | 9.99351·8 | 9.99345·3 | 9.99338·9 | ||||
61 | 0 | 9.99371·0 | 9.99363·8 | 9.99356·8 | 9.99350·0 | 9.99343·4 | 9.99337·0 | |||
10 | 9.99369·2 | 9.99362·0 | 9.99355·0 | 9.99348·1 | 9.99341·5 | 9.99335·1 | ||||
20 | 9.99367·4 | 9.99360·2 | 9.99353·2 | 9.99346·2 | 9.99339·6 | 9.99333·2 | ||||
30 | 9.99365·6 | 9.99358·4 | 9.99351·3 | 9.99344·4 | 9.99337·8 | 9.99331·3 | ||||
40 | 9.99363·8 | 9.99356·6 | 9.99349·5 | 9.99342·5 | 9.99335·9 | 9.99329·4 | ||||
50 | 9.99362·0 | 9.99354·8 | 9.99347·7 | 9.99340·6 | 9.99334·0 | 9.99327·5 | ||||
62 | 0 | 9.99360·2 | 9.99352·9 | 9.99345·8 | 9.99338·8 | 9.99332·1 | 9.99325·6 |
D 2
[page] 28
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
63° | 64° | 65° | 66° | 67° | 68° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99422·4 | 9.99417·2 | 9.99412·1 | 9.99407·3 | 9.99402·7 | 9.99398·2 | |||
10 | 9.99410·5 | 9.99415·3 | 9.99410·2 | 9.99405·3 | 9.99400·7 | 9.99396·2 | ||||
20 | 9.99418·6 | 9.99413·4 | 9.99408·3 | 9.99403·4 | 9.99398·7 | 9.99394·2 | ||||
30 | 9.99416·7 | 9.99411·4 | 9.99406·3 | 9.99401·4 | 9.99396·8 | 9.99392·2 | ||||
40 | 9.99414·8 | 9.99409·5 | 9.99404·4 | 9.99399·5 | 9.99394·8 | 9.99390·2 | ||||
50 | 9.99412·9 | 9.99407·6 | 9.99402·5 | 9.99397·5 | 9.99392·8 | 9.99388·2 | ||||
54 | 0 | 9.99411·0 | 9.99405·7 | 9.99400·5 | 9.99395·6 | 9.99390·8 | 9.99386·2 | |||
10 | 9.99409·1 | 9.99403·8 | 9.99398·6 | 9.99393·6 | 9.99388·9 | 9.99384·3 | ||||
20 | 9.99407·2 | 9.99401·8 | 9.99396·6 | 9.99391·7 | 9.99386·9 | 9.99382·3 | ||||
30 | 9.99405·3 | 9.99399·9 | 9.99394·7 | 9.99389·7 | 9.99384·9 | 9.99380·3 | ||||
40 | 9.99403·4 | 9.99398·0 | 9.99392·7 | 9.99387·7 | 9.99383·0 | 9.99378·3 | ||||
50 | 9.99401·5 | 9.99396·1 | 9.99390·8 | 9.99385·8 | 9.99381·0 | 9.99376·3 | ||||
55 | 0 | 9.99399·6 | 9.99394·1 | 9.99388·8 | 9.99383·8 | 9.99379·0 | 9.99374·3 | |||
10 | 9.99397·7 | 9.99392·2 | 9.99386·9 | 9.99381·9 | 9.99377·0 | 9.99372·4 | ||||
20 | 9.99395·7 | 9.99390·3 | 9.99385·0 | 9.99379·9 | 9.99375·1 | 9.99370·4 | ||||
30 | 9.99393·8 | 9.99388·4 | 9.99383·0 | 9.99378·0 | 9.99373·1 | 9.99368·4 | ||||
40 | 9.99391·9 | 9.99386·4 | 9.99381·1 | 9.99376·0 | 9.99371·1 | 9.99366·4 | ||||
50 | 9.99390·0 | 9.99384·5 | 9.99379·1 | 9.99374·0 | 9.99369·2 | 9.99364·4 | ||||
56 | 0 | 9.99388·1 | 9.99382·6 | 9.99377·2 | 9.99372·1 | 9.99367·2 | 9.99362·4 | |||
10 | 9.99386·2 | 9.99380·7 | 9.99375·3 | 9.99370·1 | 9.99365·2 | 9.99360·5 | ||||
20 | 9.99384·3 | 9.99378·7 | 9.99373·3 | 9.99368·2 | 9.99363·2 | 9.99358·5 | ||||
30 | 9.99382·4 | 9.99376·8 | 9.99371·4 | 9.99366·2 | 9.99361·3 | 9.99356·5 | ||||
40 | 9.99380·5 | 9.99374·9 | 9.99369·5 | 9.99364·2 | 9.99359·3 | 9.99354·5 | ||||
50 | 9.99378·6 | 9.99373·0 | 9.99367·5 | 9.99362·3 | 9.99357·3 | 9.99352·5 | ||||
57 | 0 | 9.99376·6 | 9.99371·0 | 9.99365·6 | 9.99360·3 | 9.99355·3 | 9.99350·5 | |||
10 | 9.99374·7 | 9.99369·1 | 9.99363·6 | 9.99358·4 | 9.99353·4 | 9.99348·6 | ||||
20 | 9.99372·8 | 9.99367·2 | 9.99361·7 | 9.99356·4 | 9.99351·4 | 9.99346·6 | ||||
30 | 9.99370·9 | 9.99365·2 | 9.99359·8 | 9.99354·5 | 9.99349·4 | 9.99344·6 | ||||
40 | 9.99369·0 | 9.99363·3 | 9.99357·8 | 9.99352·5 | 9.99347·4 | 9.99342·6 | ||||
50 | 9.99367·1 | 9.99361·4 | 9.99355·9 | 9.99350·5 | 9.99345·5 | 9.99340·6 | ||||
58 | 0 | 9.99365·2 | 9.99359·4 | 9.99353·9 | 9.99348·6 | 9.99343·5 | 9.99338·6 | |||
10 | 9.99363·2 | 9.99357·5 | 9.99352·0 | 9.99346·6 | 9.99341·5 | 9.99336·6 | ||||
20 | 9.99361·3 | 9.99355·6 | 9.99350·0 | 9.99344·7 | 9.99339·6 | 9.99334·6 | ||||
30 | 9.99359·4 | 9.99353·7 | 9.99348·1 | 9.99342·7 | 9.99337·6 | 9.99332·7 | ||||
40 | 9.99357·5 | 9.99351·7 | 9.99346·1 | 9.99340·7 | 9.99335·6 | 9.99330·7 | ||||
50 | 9.99335·6 | 9.99349·8 | 9.99344·2 | 9.99338·8 | 9.99333·6 | 9.99328·7 | ||||
59 | 0 | 9.99353·7 | 9.99347·9 | 9.99342·2 | 9.99336·8 | 9.99331·7 | 9.99326·7 | |||
10 | 9.99351·8 | 9.99345·9 | 9.99340·3 | 9.99334·9 | 9.99329·7 | 9.99324·7 | ||||
20 | 9.99349·8 | 9.99344·0 | 9.99338·4 | 9.99332·9 | 9.99327·7 | 9.99322·7 | ||||
30 | 9.99347·9 | 9.99342·1 | 9.99336·4 | 9.99331·0 | 9.99325·8 | 9.99320·7 | ||||
40 | 9.99346·0 | 9.99340·2 | 9.99334·5 | 9.99329·0 | 9.99323·8 | 9.99318·7 | ||||
50 | 9.99344·1 | 9.99338·2 | 9.99332·5 | 9.99327·0 | 9.99321·8 | 9.99316·7 | ||||
60 | 0 | 9.99342·2 | 9.99336·3 | 9.99330·6 | 9.99325·1 | 9.99319·8 | 9.99314·7 | |||
10 | 9.99340·3 | 9.99334·4 | 9.99328·6 | 9.99323·1 | 9.99317·9 | 9.99312·8 | ||||
20 | 9.99338·4 | 9.99332·4 | 9.99326·7 | 9.99321·2 | 9.99315·9 | 9.99310·8 | ||||
30 | 9.99336·5 | 9.99330·5 | 9.99324·8 | 9.99319·2 | 9.99313·9 | 9.99308·8 | ||||
40 | 9.99334·6 | 9.99328·6 | 9.99322·8 | 9.99317·2 | 9.99311·9 | 9.99306·8 | ||||
50 | 9.99332·7 | 9.99326·7 | 9.99320·9 | 9.99315·3 | 9.99310·0 | 9.99304·8 | ||||
61 | 0 | 9.99330·8 | 9.99324·7 | 9.99318·9 | 9.99313·3 | 9.99308·0 | 9.99302·8 | |||
10 | 9.99328·9 | 9.99322·8 | 9.99317·0 | 9.99311·4 | 9.99306·0 | 9.99300·8 | ||||
20 | 9.99327·0 | 9.99320·9 | 9.99315·0 | 9.99309·4 | 9.99304·0 | 9.99298·8 | ||||
30 | 9.99325·0 | 9.99318·9 | 9.99313·1 | 9.99307·5 | 9.99302·1 | 9.99296·8 | ||||
40 | 9.99323·1 | 9.99317·0 | 9.99311·1 | 9.99305·5 | 9.99300·1 | 9.99294·8 | ||||
50 | 9.99321·2 | 9.99315·1 | 9.99309·2 | 9.99303·5 | 9.99298·1 | 9.99292·8 | ||||
62 | 0 | 9.99319·3 | 9.99313·1 | 9.99307·2 | 9.99301·6 | 9.99296·1 | 9.99290·8 |
[page] 29
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
69° | 70° | 71° | 72° | 73° | 74° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99393·9 | 9.99389·8 | 9.99385·8 | 9.99382·2 | 9.99378·8 | 9.99375·3 | |||
10 | 9.99391·9 | 9.99387·8 | 9.99383·8 | 9.99380·2 | 9.99376·7 | 9.99373·2 | ||||
20 | 9.99389·9 | 9.99385·8 | 9.99381·7 | 9.99378·1 | 9.99374·6 | 9.99371·2 | ||||
30 | 9.99387·9 | 9.99383·8 | 9.99379·7 | 9.99376·1 | 9.99372·6 | 9.99369·1 | ||||
40 | 9.99385·9 | 9.99381·8 | 9.99377·7 | 9.99374·0 | 9.99370·5 | 9.99367·1 | ||||
50 | 9.99383·9 | 9.99379·8 | 9.99375·7 | 9.99372·0 | 9.99368·4 | 9.99365·0 | ||||
54 | 0 | 9.99381·8 | 9.99377·7 | 9.99373·7 | 9.99369·9 | 9.99366·4 | 9.99363·0 | |||
10 | 9.99379·8 | 9.99375·7 | 9.99371·6 | 9.99367·9 | 9.99364·3 | 9.99360·9 | ||||
20 | 9.99377·8 | 9.99373·7 | 9.99369·6 | 9.99365·8 | 9.99362·3 | 9.99358·8 | ||||
30 | 9.99375·8 | 9.99371·7 | 9.99367·6 | 9.99363·8 | 9.99360·2 | 9.99356·8 | ||||
40 | 9.99373·8 | 9.99369·7 | 9.99365·6 | 9.99361·7 | 9.99358·2 | 9.99354·7 | ||||
50 | 9.99371·8 | 9.99367·7 | 9.99363·6 | 9.99359·7 | 9.99356·1 | 9.99352·6 | ||||
55 | 0 | 9.99369·8 | 9.99365·6 | 9.99361·5 | 9.99357·6 | 9.99354·1 | 9.99350·6 | |||
10 | 9.99367·8 | 9.99363·6 | 9.99359·5 | 9.99355·6 | 9.99352·0 | 9.99348·5 | ||||
20 | 9.99365·8 | 9.99361·6 | 9.99357·5 | 9.99353·6 | 9.99350·0 | 9.99346·4 | ||||
30 | 9.99363·8 | 9.99359·6 | 9.99355·5 | 9.99351·5 | 9.99347·9 | 9.99344·4 | ||||
40 | 9.99361·8 | 9.99357·6 | 9.99353·5 | 9.99349·5 | 9.99345·9 | 9.99342·3 | ||||
50 | 9.99359·8 | 9.99355·6 | 9.99351·4 | 9.99347·5 | 9.99343·8 | 9.99340·2 | ||||
56 | 0 | 9.99357·8 | 9.99353·5 | 9.99349·4 | 9.99345·5 | 9.99341·8 | 9.99338·2 | |||
10 | 9.99355·8 | 9.99351·5 | 9.99347·4 | 9.99343·4 | 9.99339·7 | 9.99336·1 | ||||
20 | 9.99353·8 | 9.99349·5 | 9.99345·4 | 9.99341·4 | 9.99337·7 | 9.99334·0 | ||||
30 | 9.99351·8 | 9.99347·5 | 9.99343·4 | 9.99339·4 | 9.99335·6 | 9.99332·0 | ||||
40 | 9.99349·8 | 9.99345·5 | 9.99341·3 | 9.99337·3 | 9.99333·0 | 9.99329·9 | ||||
50 | 9.99347·8 | 9.99343·5 | 9.99339·3 | 9.99335·3 | 9.99331·5 | 9.99327·8 | ||||
57 | 0 | 9.99345·8 | 9.99341·5 | 9.99337·3 | 9.99333·3 | 9.99329·5 | 9.99325·8 | |||
10 | 9.99343·8 | 9.99339·4 | 9.99335·3 | 9.99331·2 | 9.99327·4 | 9.99323·7 | ||||
20 | 9.99341·8 | 9.99337·4 | 9.99333·2 | 9.99329·2 | 9.99325·4 | 9.99321·7 | ||||
30 | 9.99339·8 | 9.99335·4 | 9.99331·2 | 9.99327·2 | 9.99323·3 | 9.99319·6 | ||||
40 | 9.99337·8 | 9.99333·4 | 9.99329·2 | 9.99325·1 | 9.99321·3 | 9.99317·6 | ||||
50 | 9.99335·8 | 9.99331·4 | 9.99327·2 | 9.99323·1 | 9.99319·2 | 9.99315·5 | ||||
58 | 0 | 9.99333·8 | 9.99329·4 | 9.99325·1 | 9.99321·1 | 9.99317·2 | 9.99313·5 | |||
10 | 9.99331·8 | 9.99327·3 | 9.99323·1 | 9.99319·0 | 9.99315·1 | 9.99311·4 | ||||
20 | 9.99329·8 | 9.99325·3 | 9.99321·1 | 9.99317·0 | 9.99313·1 | 9.99309·4 | ||||
30 | 9.99327·8 | 9.99323·3 | 9.99319·1 | 9.99314·9 | 9.99311·0 | 9.99307·3 | ||||
40 | 9.99325·8 | 9.99321·3 | 9.99317·0 | 9.99312·9 | 9.99309·0 | 9.99305·3 | ||||
50 | 9.99323·8 | 9.99319·3 | 9.99315·0 | 9.99310·8 | 9.99306·9 | 9.99303·2 | ||||
59 | 0 | 9.99321·8 | 9.99317·3 | 9.99313·0 | 9.99308·8 | 9.99304·9 | 9.99301·2 | |||
10 | 9.99319·8 | 9.99315·2 | 9.99311·0 | 9.99306·8 | 9.99302·8 | 9.99299·1 | ||||
20 | 9.99317·8 | 9.99313·2 | 9.99308·9 | 9.99304·7 | 9.99300·8 | 9.99297·0 | ||||
30 | 9.99315·8 | 9.99311·2 | 9.99306·9 | 9.99302·7 | 9.99298·7 | 9.99295·0 | ||||
40 | 9.99313·8 | 9.99309·2 | 9.99304·9 | 9.99300·7 | 9.99296·7 | 9.99292·9 | ||||
50 | 9.99311·8 | 9.99307·2 | 9.99302·9 | 9.99298·6 | 9.99294·6 | 9.99290·8 | ||||
60 | 0 | 9.99309·8 | 9.99305·2 | 9.99300·8 | 9.99296·6 | 9.99292·6 | 9.99288·8 | |||
10 | 9.99307·8 | 9.99303·1 | 9.99298·8 | 9.99294·6 | 9.99290·5 | 9.99286·7 | ||||
20 | 9.99305·8 | 9.99301·1 | 9.99296·8 | 9.99292·5 | 9.99288·5 | 9.99284·7 | ||||
30 | 9.99303·8 | 9.99299·1 | 9.99294·8 | 9.99290·5 | 9.99286·4 | 9.99282·6 | ||||
40 | 9.99301·8 | 9.99297·1 | 9.99292·7 | 9.99288·5 | 9.99284·4 | 9.99280·6 | ||||
50 | 9.99299·8 | 9.99295·1 | 9.99290·7 | 9.99280·4 | 9.99282·3 | 9.99278·5 | ||||
61 | 0 | 9.99297·8 | 9.99283·1 | 9.99288·7 | 9.99284·4 | 9.99280·3 | 9.99276·5 | |||
10 | 9.99295·8 | 9.99291·0 | 9.99286·7 | 9.99282·4 | 9.99278·2 | 9.99274·4 | ||||
20 | 9.99293·8 | 9.99289·0 | 9.99284·6 | 9.99280·3 | 9.99276·2 | 9.99272·3 | ||||
30 | 9.99291·8 | 9.99287·0 | 9.99282·6 | 9.99278·3 | 9.99274·1 | 9.99270·3 | ||||
40 | 9.99289·8 | 9.99285·0 | 9.99280·6 | 9.99276·2 | 9.99272·1 | 9.99268·2 | ||||
50 | 9.99287·8 | 9.99283·0 | 9.99278·6 | 9.99274·2 | 9.99270·0 | 9.99266·1 | ||||
62 | 0 | 9.99285·8 | 9.99281·0 | 9.99276·5 | 9.99272·1 | 9.99268·0 | 9.99264·1 |
[page] 30
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
75° | 76° | 77° | 78° | 79° | 80° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99372·1 | 9.99369·1 | 9.99366·4 | 9.99364·0 | 9.99361·7 | 9.99359·5 | |||
10 | 9.99370·0 | 9.99367·0 | 9.99364·3 | 9.99361·9 | 9.99359·6 | 9.99357·4 | ||||
20 | 9.99367·9 | 9.99364·9 | 9.99362·3 | 9.99359·8 | 9.99357·5 | 9.99355·3 | ||||
30 | 9.99365·9 | 9.99362·9 | 9.99360·2 | 9.99357·7 | 9.99355·4 | 9.99353·2 | ||||
40 | 9.99363·8 | 9.99360·8 | 9.99358·1 | 9.99355·6 | 9.99353·3 | 9.99351·1 | ||||
50 | 9.99361·7 | 9.99358·7 | 9.99356·0 | 9.99353·5 | 9.99351·2 | 9.99349·0 | ||||
54 | 0 | 9.99359·7 | 9.99356·7 | 9.99354·0 | 9.99351·4 | 9.99349·1 | 9.99346·9 | |||
10 | 9.99357·6 | 9.99354·6 | 9.99351·9 | 9.99349·3 | 9.99347·0 | 9.99344·8 | ||||
20 | 9.99355·5 | 9.99352·5 | 9.99349·8 | 9.99347·2 | 9.99344·9 | 9.99342·7 | ||||
30 | 9.99353·5 | 9.99350·5 | 9.99347·7 | 9.99345·1 | 9.99342·8 | 9.99340·6 | ||||
40 | 9.99351·4 | 9.99348·4 | 9.99345·6 | 9.99343·0 | 9.99340·7 | 9.99338·5 | ||||
50 | 9.99349·3 | 9.99346·3 | 9.99343·6 | 9.99340·9 | 9.99338·6 | 9.99336·4 | ||||
55 | 0 | 9.99347·3 | 9.99344·3 | 9.99341·5 | 9.99338·8 | 9.99336·5 | 9.99334·3 | |||
10 | 9.99345·2 | 9.99342·2 | 9.99339·4 | 9.99336·8 | 9.99334·4 | 9.99332·2 | ||||
20 | 9.99343·1 | 9.99340·1 | 9.99337·3 | 9.99334·7 | 9.99332·3 | 9.99330·1 | ||||
30 | 9.99341·1 | 9.99338·0 | 9.99335·2 | 9.99332·6 | 9.99330·2 | 9.99328·0 | ||||
40 | 9.99339·0 | 9.99336·0 | 9.99333·1 | 9.99330·5 | 9.99328·1 | 9.99325·9 | ||||
50 | 9.99336·9 | 9.99333·9 | 9.99331·0 | 9.99328·4 | 9.99326·0 | 9.99323·8 | ||||
56 | 0 | 9.99334·9 | 9.99331·8 | 9.99328·9 | 9.99326·3 | 9.99323·9 | 9.99321·7 | |||
10 | 9.99332·8 | 9.99329·7 | 9.99326·9 | 9.99324·2 | 9.99321·8 | 9.99319·6 | ||||
20 | 9.99330·7 | 9.99327·6 | 9.99324·8 | 9.99322·1 | 9.99319·7 | 9.99317·5 | ||||
30 | 9.99328·7 | 9.99325·5 | 9.99322·7 | 9.99320·0 | 9.99317·6 | 9.99315·4 | ||||
40 | 9.99326·6 | 9.99323·4 | 9.99320·6 | 9.99317·9 | 9.99315·5 | 9.99313·3 | ||||
50 | 9.99324·5 | 9.99321·4 | 9.99318·5 | 9.99315·8 | 9.99313·4 | 9.99311·1 | ||||
57 | 0 | 9.99322·5 | 9.99319·3 | 9.99316·4 | 9.99313·7 | 9.99311·3 | 9.99309·0 | |||
10 | 9.99320·4 | 9.99317·2 | 9.99314·4 | 9.99311·7 | 9.99309·2 | 9.99306·9 | ||||
20 | 9.99318·3 | 9.99315·1 | 9.99312·3 | 9.99309·6 | 9.99307·1 | 9.99304·8 | ||||
30 | 9.99316·3 | 9.99313·1 | 9.99310·2 | 9.99307·5 | 9.99305·0 | 9.99302·7 | ||||
40 | 9.99314·2 | 9.99311·0 | 9.99308·1 | 9.99305·4 | 9.99302·9 | 9.99300·6 | ||||
50 | 9.99312·1 | 9.99308·9 | 9.99306·0 | 9.99303·3 | 9.99300·8 | 9.99298·5 | ||||
58 | 0 | 9.99310·1 | 9.99306·8 | 9.99303·9 | 9.99301·2 | 9.99298·7 | 9.99296·4 | |||
10 | 9.99308·0 | 9.99304·7 | 9.99301·8 | 9.99299·1 | 9.99296·6 | 9.99294·3 | ||||
20 | 9.99305·9 | 9.99302·7 | 9.99299·7 | 9.99297·0 | 9.99294·5 | 9.99292·2 | ||||
30 | 9.99303·9 | 9.99300·6 | 9.99297·7 | 9.99294·9 | 9.99292·4 | 9.99290·1 | ||||
40 | 9.99301·8 | 9.99298·5 | 9.99295·6 | 9.99292·8 | 9.99290·2 | 9.99288·0 | ||||
50 | 9.99299·7 | 9.99296·4 | 9.99293·5 | 9.99290·7 | 9.99288·1 | 9.99285·8 | ||||
59 | 0 | 9.99297·7 | 9.99294·4 | 9.99291·4 | 9.99288·6 | 9.99286·0 | 9.99283·7 | |||
10 | 9.99295·6 | 9.99272·3 | 9.99289·3 | 9.99286·5 | 9.99283·9 | 9.99281·6 | ||||
20 | 9.99293·5 | 9.99290·2 | 9.99287·2 | 9.99284·4 | 9.99281·8 | 9.99279·5 | ||||
30 | 9.99291·5 | 9.99288·1 | 9.99285·1 | 9.99282·3 | 9.99279·7 | 9.99277·4 | ||||
40 | 9.99289·4 | 9.99286·0 | 9.99283·0 | 9.99280·2 | 9.99277·6 | 9.99275·2 | ||||
50 | 9.99287·3 | 9.99284·0 | 9.99280·9 | 9.99278·1 | 9.99275·5 | 9.99273·1 | ||||
60 | 0 | 9.99285·3 | 9.99281·9 | 9.99278·8 | 9.99276·0 | 9.99273·4 | 9.99271·0 | |||
10 | 9.99283·2 | 9.99279·8 | 9.99276·8 | 9.99273·9 | 9.99271·3 | 9.99268·9 | ||||
20 | 9.99281·1 | 9.99277·7 | 9.99274·7 | 9.99271·8 | 9.99269·2 | 9.99266·8 | ||||
30 | 9.99279·1 | 9.99275·6 | 9.99272·6 | 9.99269·7 | 9.99267·1 | 9.99264·7 | ||||
40 | 9.99277·0 | 9.99273·6 | 9.99270·5 | 9.99267·6 | 9.99265·0 | 9.99262·6 | ||||
50 | 9.99274·9 | 9.99271·5 | 9.99268·4 | 9.99265·5 | 9.99262·9 | 9.99260·5 | ||||
61 | 0 | 9.99272·9 | 9.99269·4 | 9.99266·3 | 9.99263·4 | 9.99260·8 | 9.99258·4 | |||
10 | 9.99270·8 | 9.99267·3 | 9.99264·2 | 9.99261·4 | 9.99258·7 | 9.99256·3 | ||||
20 | 9.99268·7 | 9.99265·3 | 9.99262·1 | 9.99259·3 | 9.99256·6 | 9.99254·2 | ||||
30 | 9.99266·6 | 9.99263·2 | 9.99260·0 | 9.99257·2 | 9.99254·5 | 9.99252·0 | ||||
40 | 9.99264·5 | 9.99261·1 | 9.99258·0 | 9.99255·1 | 9.99252·4 | 9.99249·9 | ||||
50 | 9.99262·5 | 9.99259·0 | 9.99255·9 | 9.99253·0 | 9.99250·3 | 9.99247·8 | ||||
62 | 0 | 9.99260·4 | 9.99257·0 | 9.99253·8 | 9.99250·9 | 9.99248·2 | 9.99245·7 |
[page] 31
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
81° | 82° | 83° | 84° | 85° | 86° | |||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||
53 | 0 | 9.99357·7 | 9.99356·0 | 9.99354·5 | 9.99353·2 | 9.99352·1 | 9.99351·2 | |||
10 | 9.99355·6 | 9.99353·9 | 9.99352·3 | 9.99351·1 | 9.99350·0 | 9.99349·1 | ||||
20 | 9.99353·5 | 9.99351·8 | 9.99350·2 | 9.99348·9 | 9.99347·8 | 9.99346·9 | ||||
30 | 9.99351·3 | 9.99349·6 | 9.99348·1 | 9.99346·8 | 9.99345·7 | 9.99344·8 | ||||
40 | 9.99349·2 | 9.99347·5 | 9.99346·0 | 9.99344·7 | 9.99343·6 | 9.99342·7 | ||||
50 | 9.99347·1 | 9.99345·4 | 9.99343·9 | 9.99342·6 | 9.99341·5 | 9.99340·5 | ||||
54 | 0 | 9.99345·0 | 9.99343·3 | 9.99341·8 | 9.99340·5 | 9.99339·3 | 9.99338·4 | |||
10 | 9.99342·9 | 9.99341·2 | 9.99339·7 | 9.99338·3 | 9.99337·2 | 9.99336·2 | ||||
20 | 9.99340·8 | 9.99339·0 | 9.99337·5 | 9.99336·2 | 9.99335·1 | 9.99334·1 | ||||
30 | 9.99338·7 | 9.99336·9 | 9.99335·4 | 9.99334·1 | 9.99332·9 | 9.99331·9 | ||||
40 | 9.99336·5 | 9.99334·8 | 9.99333·3 | 9.99332·0 | 9.99330·8 | 9.99329·8 | ||||
50 | 9.99334·4 | 9.99332·7 | 9.99331·2 | 9.99329·8 | 9.99328·7 | 9.99327·7 | ||||
55 | 0 | 9.99332·3 | 9.99330·6 | 9.99329·0 | 9.99327·7 | 9.99326·5 | 9.99325·5 | |||
10 | 9.99330·2 | 9.99328·4 | 9.99326·9 | 9.99325·6 | 9.99324·4 | 9.99323·4 | ||||
20 | 9.99328·1 | 9.99326·3 | 9.99324·7 | 9.99323·4 | 9.99322·3 | 9.99321·3 | ||||
30 | 9.99326·0 | 9.99324·2 | 9.99322·6 | 9.99321·3 | 9.99320·1 | 9.99319·1 | ||||
40 | 9.99323·8 | 9.99322·1 | 9.99320·5 | 9.99319·2 | 9.99318·0 | 9.99317·0 | ||||
50 | 9.99321·7 | 9.99320·0 | 9.99318·4 | 9.99317·1 | 9.99315·9 | 9.99314·9 | ||||
56 | 0 | 9.99319·6 | 9.99317·8 | 9.99316·2 | 9.99314·9 | 9.99313·7 | 9.99312·7 | |||
10 | 9.99317·5 | 9.99315·7 | 9.99314·1 | 9.99312·8 | 9.99311·6 | 9.99310·6 | ||||
20 | 9.99315·4 | 9.99313·6 | 9.99312·0 | 9.99310·6 | 9.99309·5 | 9.99308·5 | ||||
30 | 9.99313·3 | 9.99311·5 | 9.99309·8 | 9.99308·5 | 9.99307·3 | 9.99306·3 | ||||
40 | 9.99311·1 | 9.99309·4 | 9.99307·7 | 9.99306·4 | 9.99305·2 | 9.99304·2 | ||||
50 | 9.99309·0 | 9.99307·2 | 9.99305·6 | 9.99304·2 | 9.99303·1 | 9.99302·1 | ||||
57 | 0 | 9.99306·9 | 9.99305·1 | 9.99303·5 | 9.99302·1 | 9.99300·9 | 9.99299·9 | |||
10 | 9.99304·8 | 9.99303·0 | 9.99301·3 | 9.99299·9 | 9.99298·8 | 9.99297·8 | ||||
20 | 9.99302·7 | 9.99300·9 | 9.99299·2 | 9.99297·8 | 9.99296·7 | 9.99295·7 | ||||
30 | 9.99300·6 | 9.99298·8 | 9.99297·1 | 9.99295·7 | 9.99294·6 | 9.99293·5 | ||||
40 | 9.99298·5 | 9.99296·6 | 9.99295·0 | 9.99293·6 | 9.99292·4 | 9.99291·4 | ||||
50 | 9.99296·4 | 9.99294·5 | 9.99292·8 | 9.99291·4 | 9.99290·3 | 9.99289·3 | ||||
58 | 0 | 9.99294·3 | 9.99292·4 | 9.99290·7 | 9.99289·3 | 9.99288·1 | 9.99287·1 | |||
10 | 9.99292·1 | 9.99290·3 | 9.99288·6 | 9.99287·1 | 9.99286·0 | 9.99285·0 | ||||
20 | 9.99290·0 | 9.99288·1 | 9.99286·5 | 9.99285·0 | 9.99283·9 | 9.99282·9 | ||||
30 | 9.99287·9 | 9.99286·0 | 9.99284·3 | 9.99282·9 | 9.99281·7 | 9.99280·7 | ||||
40 | 9.99285·8 | 9.99283·9 | 9.99282·2 | 9.99280·7 | 9.99279·6 | 9.99278·6 | ||||
50 | 9.99283·7 | 9.99281·8 | 9.99280·1 | 9.99278·6 | 9.99277·5 | 9.99276·5 | ||||
59 | 0 | 9.99281·6 | 9.99279·7 | 9.99278·0 | 9.99276·5 | 9.99275·3 | 9.99274·3 | |||
10 | 9.99279·5 | 9.99277·5 | 9.99275·8 | 9.99274·4 | 9.99273·2 | 9.99272·2 | ||||
20 | 9.99277·3 | 9.99275·4 | 9.99273·7 | 9.99272·2 | 9.99271·1 | 9.99270·1 | ||||
30 | 9.99275·2 | 9.99273·3 | 9.99271·6 | 9.99270·1 | 9.99269·0 | 9.99267·9 | ||||
40 | 9.99273·1 | 9.99271·2 | 9.99269·5 | 9.99268·0 | 9.99266·8 | 9.99265·8 | ||||
50 | 9.99271·0 | 9.99269·1 | 9.99267·3 | 9.99265·9 | 9.99264·7 | 9.99263·7 | ||||
60 | 0 | 9.99268·9 | 9.99266·9 | 9.99265·2 | 9.99263·8 | 9.99262·5 | 9.99261·5 | |||
10 | 9.99266·8 | 9.99264·8 | 9.99263·1 | 9.99261·6 | 9.99260·4 | 9.99259·4 | ||||
20 | 9.99264·7 | 9.99262·7 | 9.99261·0 | 9.99259·5 | 9.99258·3 | 9.99257·3 | ||||
30 | 9.99262·6 | 9.99260·6 | 9.99258·8 | 9.99257·4 | 9.99256·1 | 9.99255·1 | ||||
40 | 9.99259·4 | 9.99258·5 | 9.99256·7 | 9.99255·2 | 9.99254·0 | 9.99253·0 | ||||
50 | 9.99258·3 | 9.99256·3 | 9.99254·6 | 9.99253·1 | 9.99251·9 | 9.99250·8 | ||||
61 | 0 | 9.99256·2 | 9.99254·2 | 9.99252·5 | 9.99251·0 | 9.99249·7 | 9.99248·7 | |||
10 | 9.99254·1 | 9.99252·1 | 9.99250·3 | 9.99248·8 | 9.99247·6 | 9.99246·5 | ||||
20 | 9.99252·0 | 9.99250·0 | 9.99248·2 | 9.99246·7 | 9.99245·5 | 9.99244·4 | ||||
30 | 9.99249·9 | 9.99247·9 | 9.99246·1 | 9.99244·6 | 9.99243·3 | 9.99242·3 | ||||
40 | 9.99247·8 | 9.99245·7 | 9.99244·0 | 9.99242·4 | 9.99241·2 | 9.99240·1 | ||||
50 | 9.99245·6 | 9.99243·6 | 9.99241·8 | 9.99240·3 | 9.99239·1 | 9.99238·0 | ||||
62 | 0 | 9.99243·5 | 9.99241·5 | 9.99239·7 | 9.99238·2 | 9.99236·9 | 9.99235·8 |
[page] 32
TABLE IX. Logarithms for readily computing the true Distance of the MOON from the SUN or a Fixed Star. | ||||||||||
Horizontal Parallax of the Moon. | Apparent Altitude of the Moon's Center. | |||||||||
87° | 88° | 89° | 90° | |||||||
M | S | Logarithm. | Logarithm. | Logarithm. | Logarithm. | |||||
53 | 0 | 9.99350·5 | 9.99349·9 | 9.99349·7 | 9.99349·5 | |||||
10 | 9.99348·3 | 9.99347·7 | 9.99347·5 | 9.99347·4 | ||||||
20 | 9.99346·2 | 9.99345·6 | 9.99345·4 | 9.99345·2 | ||||||
30 | 9.99344·1 | 9.99343·5 | 9.99343·2 | 9.99434·1 | ||||||
40 | 9.99341·9 | 9.99341·3 | 9.99341·1 | 9.99340·9 | ||||||
50 | 9.99339·8 | 9.99339·2 | 9.99338·9 | 9.99338·8 | ||||||
54 | 0 | 9.99337·7 | 9.99337·1 | 9.99336·8 | 9.99336·6 | |||||
10 | 9.99335·5 | 9.99334·9 | 9.99334·6 | 9.99334·5 | ||||||
20 | 9.99333·4 | 9.99332·8 | 9.99332·5 | 9.99332·3 | ||||||
30 | 9.99331·3 | 9.99330·6 | 9.99330·3 | 9.99330·1 | ||||||
40 | 9.99329·1 | 9.99328·5 | 9.99328·2 | 9.99328·0 | ||||||
50 | 9.99327·0 | 9.99326·4 | 9.99326·1 | 9.99325·8 | ||||||
55 | 0 | 9.99324·8 | 9.99324·2 | 9.99323·9 | 9.99323·7 | |||||
10 | 9.99322·7 | 9.99322·1 | 9.99321·8 | 9.99321·5 | ||||||
20 | 9.99320·5 | 9.99319·9 | 9.99319·7 | 9.99319·4 | ||||||
30 | 9.99318·4 | 9.99317·8 | 9.99317·5 | 9.99317·2 | ||||||
40 | 9.99316·3 | 9.99315·6 | 9.99315·4 | 9.99315·1 | ||||||
50 | 9.99314·1 | 9.99313·5 | 9.99313·2 | 9.99312·9 | ||||||
56 | 0 | 9.99312·0 | 9.99311·4 | 9.99311·1 | 9.99310·8 | |||||
10 | 9.99309·8 | 9.99309·2 | 9.99309·0 | 9.99308·7 | ||||||
20 | 9.99307·7 | 9.99307·1 | 9.99306·8 | 9.99306·5 | ||||||
30 | 9.99305·6 | 9.99304·9 | 9.99302·7 | 9.99304·4 | ||||||
40 | 9.99303·4 | 9.99302·8 | 9.99302·5 | 9.99302·3 | ||||||
50 | 9.99301·3 | 9.99300·7 | 9.99300·4 | 9.99300·1 | ||||||
57 | 0 | 9.99299·1 | 9.99298·5 | 9.99298·2 | 9.99298·0 | |||||
10 | 9.99297·0 | 9.99296·4 | 9.99296·1 | 9.99295·9 | ||||||
20 | 9.99294·9 | 9.99294·3 | 9.99294·0 | 9.99293·8 | ||||||
30 | 9.99292·7 | 9.99292·1 | 9.99291·8 | 9.99291·7 | ||||||
40 | 9.99290·6 | 9.99290·0 | 9.99289·7 | 9.99289·5 | ||||||
50 | 9.99288·5 | 9.99287·9 | 9.99287·6 | 9.99287·4 | ||||||
58 | 0 | 9.99286·3 | 9.99285·7 | 9.99285·4 | 9.99285·3 | |||||
10 | 9.99284·2 | 9.99283·6 | 9.99283·3 | 9.99283·1 | ||||||
20 | 9.99282·1 | 9.99281·4 | 9.99281·2 | 9.99281·0 | ||||||
30 | 9.99279·9 | 9.99279·3 | 9.99279·1 | 9.99278·8 | ||||||
40 | 9.99277·8 | 9.99277·1 | 9.99276·9 | 9.99276·7 | ||||||
50 | 9.99275·7 | 9.99275·0 | 9.99274·8 | 9.99274·6 | ||||||
59 | 0 | 9.99273·5 | 9.99272·9 | 9.99272·6 | 9.99272·5 | |||||
10 | 9.99271·4 | 9.99270·7 | 9.99270·5 | 9.99270·3 | ||||||
20 | 9.99269·3 | 9.99268·6 | 9.99268·3 | 9.99268·2 | ||||||
30 | 9.99267·1 | 9.99266·4 | 9.99266·2 | 9.99266·0 | ||||||
40 | 9.99265·0 | 9.99264·3 | 9.99264·0 | 9.99263·9 | ||||||
50 | 9.99262·9 | 9.99262·2 | 9.99261·9 | 9.99262·7 | ||||||
60 | 0 | 9.99260·7 | 9.99260·0 | 9.99259·7 | 9.99259·6 | |||||
10 | 9.99258·6 | 9.99257·9 | 9.99257·6 | 9.99257·4 | ||||||
20 | 9.99256·5 | 9.99255·8 | 9.99255·5 | 9.99255·3 | ||||||
30 | 9.99254·3 | 9.99253·7 | 9.99253·3 | 9.99253·1 | ||||||
40 | 9.99252·2 | 9.99251·5 | 9.99251·2 | 9.99251·0 | ||||||
50 | 9.99250·1 | 9.99249·4 | 9.99249·0 | 9.99248·8 | ||||||
61 | 0 | 9.99247·9 | 9.99247·2 | 9.99246·9 | 9.99246·7 | |||||
10 | 9.99245·8 | 9.99245·1 | 9.99244·8 | 9.99244·5 | ||||||
20 | 9.99243·6 | 9.99243·0 | 9.99242·6 | 9.99242·4 | ||||||
30 | 9.99241·5 | 9.99240·8 | 9.99240·5 | 9.99240·2 | ||||||
40 | 9.99239·3 | 9.99238·7 | 9.99238·3 | 9.99238·1 | ||||||
50 | 9.99237·2 | 9.99236·6 | 9.99236·2 | 9.99235·9 | ||||||
62 | 0 | 9.99235·0 | 9.99234·4 | 9.99234·0 | 9.99233·8 |
[page] 33
TABLE X. | |
Numbers to be subtracted from the Logarithms in TABLE IX. when the Moon's Distance from the Sun is observed. | |
App. Alt. of the Sun's Center. | Number to be subtracted. |
° | |
3 | 2,8 |
4 | 1,9 |
5 | 1,4 |
6 | 1,1 |
7 | 0,9 |
8 | 0,8 |
9 | 0,7 |
10 | 0,7 |
12 | 0,7 |
14 | 0,7 |
16 | 0,7 |
18 | 0,7 |
20 | 0,7 |
21 | 0,8 |
22 | 0,8 |
24 | 0,8 |
25 | 0,8 |
26 | 0,9 |
28 | 0,9 |
29 | 1,0 |
30 | 1,0 |
32 | 1,0 |
33 | 1,1 |
34 | 1,1 |
36 | 1,1 |
37 | 1,2 |
38 | 1,2 |
40 | 1,2 |
41 | 1,3 |
42 | 1,3 |
44 | 1,3 |
46 | 1,4 |
48 | 1,4 |
49 | 1,4 |
50 | 1,5 |
52 | 1,5 |
54 | 1,5 |
55 | 1,6 |
56 | 1,6 |
58 | 1,6 |
60 | 1,6 |
62 | 1,6 |
63 | 1,7 |
64 | 1,7 |
66 | 1,7 |
68 | 1,7 |
69 | 1,8 |
70 | 1,8 |
72 | 1,8 |
74 | 1,8 |
76 | 1,8 |
78 | 1,8 |
79 | 1,8 |
80 | 1,8 |
82 | 1,8 |
84 | 1,8 |
86 | 1,8 |
88 | 1,8 |
90 | 1,8 |
TABLE XI. | |
Numbers to be subtracted from the Logarithms in TABLE IX. when the Moon's Distance from a Star is observed. | |
App. Alt. of the Star. | Numbers to be subtracted. |
° | |
3 | 2,7 |
4 | 1,8 |
5 | 1,3 |
6 | 0,9 |
7 | 0,7 |
8 | 0,6 |
9 | 0,5 |
10 | 0,4 |
11 | 0,3 |
12 | 0,3 |
13 | 0,2 |
14 | 0,2 |
15 | 0,1 |
16 | 0,1 |
20 | 0,1 |
25 | 0,1 |
26 | 0,0 |
&c. |
TABLE XII. | ||||||||||
The Moon's Parallax in Altitude. | ||||||||||
D's App. Alt. | The Moon's Horizontal Parallax. | |||||||||
53′ | 54′ | 55′ | 56′ | 57′ | 58′ | 59′ | 60′ | 61′ | 62′ | |
D. | M. | M. | M. | M. | M. | M. | M. | M. | M. | M. |
0 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 |
5 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 |
10 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 |
15 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 |
18 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
20 | 50 | 51 | 52 | 53 | 54 | 54 | 55 | 56 | 57 | 58 |
22 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 56 | 57 |
24 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 |
26 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 |
28 | 47 | 48 | 49 | 49 | 50 | 51 | 52 | 53 | 54 | 55 |
30 | 46 | 47 | 48 | 48 | 49 | 50 | 51 | 52 | 53 | 54 |
32 | 45 | 46 | 47 | 47 | 48 | 49 | 50 | 51 | 52 | 53 |
34 | 44 | 45 | 46 | 46 | 47 | 48 | 49 | 50 | 51 | 52 |
36 | 43 | 44 | 44 | 45 | 46 | 47 | 48 | 48 | 49 | 50 |
38 | 42 | 43 | 43 | 44 | 45 | 46 | 46 | 47 | 48 | 49 |
40 | 40 | 41 | 42 | 43 | 44 | 44 | 45 | 46 | 47 | 48 |
42 | 39 | 40 | 41 | 42 | 42 | 43 | 44 | 45 | 45 | 46 |
44 | 38 | 39 | 40 | 40 | 41 | 42 | 42 | 43 | 44 | 45 |
46 | 36 | 37 | 38 | 39 | 40 | 40 | 41 | 42 | 42 | 43 |
48 | 35 | 36 | 37 | 37 | 38 | 39 | 39 | 40 | 41 | 42 |
50 | 34 | 35 | 35 | 36 | 37 | 37 | 38 | 39 | 39 | 40 |
51 | 33 | 34 | 35 | 35 | 36 | 36 | 37 | 38 | 38 | 39 |
52 | 32 | 33 | 34 | 34 | 35 | 36 | 36 | 37 | 38 | 39 |
53 | 31 | 32 | 33 | 34 | 34 | 35 | 35 | 36 | 37 | 38 |
54 | 31 | 32 | 32 | 33 | 33 | 34 | 35 | 35 | 36 | 37 |
55 | 30 | 31 | 31 | 32 | 33 | 33 | 34 | 34 | 35 | 36 |
56 | 29 | 30 | 31 | 31 | 32 | 32 | 33 | 34 | 34 | 35 |
57 | 28 | 29 | 30 | 30 | 31 | 32 | 32 | 33 | 33 | 34 |
58 | 28 | 29 | 29 | 30 | 30 | 31 | 31 | 32 | 32 | 33 |
59 | 27 | 28 | 28 | 29 | 29 | 30 | 30 | 31 | 31 | 32 |
60 | 26 | 27 | 27 | 28 | 28 | 29 | 29 | 30 | 30 | 30 |
61 | 26 | 26 | 27 | 27 | 28 | 28 | 29 | 29 | 30 | 30 |
62 | 25 | 25 | 26 | 26 | 27 | 27 | 28 | 28 | 29 | 29 |
63 | 24 | 24 | 25 | 25 | 26 | 26 | 27 | 27 | 28 | 28 |
64 | 24 | 24 | 24 | 24 | 25 | 25 | 26 | 26 | 27 | 27 |
65 | 23 | 23 | 23 | 24 | 24 | 24 | 25 | 25 | 26 | 26 |
66 | 22 | 22 | 22 | 23 | 23 | 24 | 24 | 24 | 25 | 25 |
67 | 21 | 21 | 21 | 22 | 22 | 23 | 23 | 23 | 24 | 24 |
68 | 20 | 20 | 21 | 21 | 21 | 22 | 22 | 22 | 23 | 23 |
69 | 19 | 19 | 20 | 20 | 20 | 21 | 21 | 21 | 22 | 22 |
70 | 18 | 18 | 19 | 19 | 19 | 20 | 20 | 20 | 21 | 21 |
71 | 18 | 18 | 18 | 18 | 19 | 19 | 19 | 19 | 20 | 20 |
72 | 17 | 17 | 17 | 17 | 18 | 18 | 18 | 18 | 19 | 19 |
73 | 16 | 16 | 16 | 16 | 17 | 17 | 17 | 17 | 18 | 18 |
74 | 15 | 15 | 15 | 15 | 16 | 16 | 16 | 16 | 17 | 17 |
75 | 14 | 14 | 14 | 14 | 15 | 15 | 15 | 15 | 16 | 16 |
76 | 13 | 13 | 13 | 14 | 14 | 14 | 14 | 14 | 15 | 15 |
77 | 12 | 12 | 12 | 13 | 13 | 13 | 13 | 13 | 14 | 14 |
78 | 11 | 11 | 11 | 12 | 12 | 12 | 12 | 12 | 13 | 13 |
79 | 10 | 10 | 10 | 11 | 11 | 11 | 11 | 11 | 12 | 12 |
80 | 9 | 9 | 10 | 10 | 10 | 10 | 10 | 10 | 11 | 11 |
81 | 8 | 8 | 9 | 9 | 9 | 9 | 9 | 9 | 10 | 10 |
82 | 7 | 7 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 9 |
83 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 8 |
84 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 7 |
85 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
86 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
87 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
88 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
89 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
E
[page] 34
TABLE XIII. For computing the Effects of Parallax on the MOON's Distance from the SUN or a STAR, by Mr. LYONS's Method. | ||||||||||||||||
Parallax in Altitude or Distance. | Apparent Distance: Add the Difference of the two Numbers taken out of this Table, if the Apparent Distance is less than 90°, and subtract it if above. |
|||||||||||||||
10° | 11° | 12° | 13° | 14° | 15° | 16° | 17° | 18° | 19° | 20° | 21° | 22° | 23° | 24° | 25° | |
M | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ |
5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
8 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 |
10 | 5 | 5 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
11 | 6 | 5 | 5 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 |
12 | 7 | 6 | 6 | 5 | 5 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
13 | 8 | 8 | 7 | 6 | 6 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 3 | 3 | 3 | 3 |
14 | 10 | 9 | 8 | 7 | 7 | 6 | 6 | 6 | 6 | 5 | 5 | 4 | 4 | 4 | 4 | 4 |
15 | 11 | 10 | 9 | 8 | 8 | 7 | 7 | 6 | 6 | 6 | 5 | 5 | 5 | 4 | 4 | 4 |
16 | 13 | 11 | 10 | 9 | 9 | 8 | 8 | 7 | 7 | 6 | 6 | 6 | 6 | 5 | 5 | 5 |
17 | 14 | 13 | 12 | 11 | 10 | 9 | 9 | 8 | 8 | 7 | 7 | 6 | 6 | 6 | 5 | 5 |
18 | 16 | 14 | 13 | 12 | 11 | 10 | 10 | 9 | 9 | 8 | 8 | 7 | 7 | 6 | 6 | 6 |
19 | 18 | 16 | 15 | 14 | 13 | 12 | 11 | 10 | 10 | 9 | 8 | 8 | 8 | 7 | 7 | 7 |
20 | 20 | 18 | 16 | 15 | 14 | 13 | 12 | 11 | 11 | 10 | 9 | 9 | 9 | 8 | 8 | 7 |
21 | 22 | 20 | 18 | 17 | 15 | 14 | 13 | 12 | 12 | 11 | 10 | 10 | 10 | 9 | 9 | 8 |
22 | 24 | 22 | 20 | 18 | 17 | 16 | 15 | 14 | 13 | 12 | 12 | 11 | 11 | 10 | 10 | 9 |
23 | 26 | 24 | 22 | 20 | 18 | 17 | 16 | 15 | 14 | 14 | 13 | 12 | 11 | 11 | 10 | 10 |
24 | 29 | 26 | 24 | 22 | 20 | 19 | 18 | 17 | 16 | 15 | 14 | 13 | 12 | 11 | 11 | 10 |
25 | 31 | 28 | 26 | 24 | 22 | 21 | 19 | 18 | 17 | 16 | 15 | 14 | 13 | 12 | 12 | 11 |
26 | 34 | 31 | 28 | 26 | 24 | 22 | 21 | 19 | 18 | 17 | 16 | 15 | 14 | 13 | 13 | 12 |
27 | 36 | 33 | 30 | 28 | 26 | 24 | 22 | 21 | 19 | 18 | 17 | 16 | 15 | 15 | 14 | 13 |
28 | 39 | 35 | 32 | 30 | 28 | 26 | 24 | 22 | 21 | 20 | 19 | 18 | 17 | 16 | 15 | 14 |
29 | 42 | 38 | 34 | 32 | 30 | 28 | 25 | 24 | 22 | 21 | 20 | 19 | 18 | 17 | 16 | 15 |
30 | 45 | 41 | 37 | 34 | 32 | 29 | 27 | 25 | 24 | 22 | 21 | 20 | 19 | 18 | 17 | 16 |
31 | 48 | 44 | 39 | 37 | 34 | 31 | 29 | 27 | 25 | 24 | 23 | 22 | 21 | 19 | 18 | 18 |
32 | 51 | 46 | 42 | 39 | 36 | 33 | 31 | 29 | 27 | 25 | 24 | 23 | 22 | 21 | 20 | 19 |
33 | 54 | 49 | 44 | 41 | 38 | 35 | 33 | 31 | 29 | 27 | 25 | 24 | 23 | 22 | 21 | 20 |
34 | 57 | 52 | 47 | 44 | 41 | 38 | 35 | 33 | 31 | 29 | 27 | 25 | 24 | 23 | 22 | 21 |
35 | 60 | 55 | 50 | 46 | 43 | 40 | 37 | 35 | 33 | 31 | 29 | 27 | 25 | 24 | 23 | 23 |
36 | 64 | 58 | 53 | 49 | 45 | 42 | 40 | 37 | 35 | 33 | 31 | 29 | 27 | 26 | 25 | 24 |
37 | 67 | 61 | 56 | 52 | 48 | 45 | 42 | 39 | 37 | 35 | 32 | 31 | 29 | 28 | 26 | 25 |
38 | 71 | 65 | 59 | 55 | 51 | 47 | 44 | 41 | 39 | 36 | 34 | 32 | 31 | 29 | 28 | 27 |
39 | 75 | 68 | 62 | 58 | 53 | 50 | 46 | 43 | 41 | 38 | 36 | 34 | 32 | 31 | 29 | 28 |
40 | 79 | 72 | 66 | 61 | 56 | 52 | 49 | 46 | 43 | 40 | 38 | 36 | 34 | 32 | 31 | 30 |
41 | 83 | 76 | 69 | 64 | 59 | 55 | 51 | 48 | 45 | 42 | 40 | 38 | 36 | 34 | 33 | 32 |
42 | 87 | 80 | 73 | 67 | 62 | 58 | 54 | 50 | 47 | 44 | 42 | 40 | 38 | 36 | 35 | 33 |
43 | 91 | 84 | 76 | 70 | 64 | 60 | 56 | 53 | 49 | 47 | 44 | 42 | 39 | 38 | 36 | 35 |
44 | 96 | 88 | 80 | 73 | 67 | 63 | 59 | 55 | 52 | 49 | 46 | 43 | 41 | 39 | 38 | 36 |
45 | 100 | 92 | 83 | 77 | 70 | 66 | 61 | 58 | 54 | 51 | 48 | 46 | 43 | 41 | 40 | 38 |
46 | 105 | 96 | 87 | 80 | 74 | 69 | 64 | 60 | 57 | 54 | 51 | 48 | 45 | 43 | 42 | 40 |
47 | 109 | 100 | 91 | 84 | 77 | 72 | 67 | 63 | 59 | 56 | 53 | 59 | 47 | 45 | 43 | 42 |
48 | 114 | 104 | 95 | 87 | 80 | 75 | 70 | 65 | 61 | 58 | 55 | 52 | 50 | 47 | 45 | 43 |
49 | 119 | 109 | 99 | 91 | 83 | 78 | 73 | 69 | 64 | 61 | 57 | 55 | 52 | 49 | 46 | 45 |
50 | 124 | 113 | 103 | 95 | 87 | 81 | 76 | 71 | 67 | 63 | 60 | 57 | 54 | 51 | 48 | 46 |
51 | 129 | 117 | 107 | 98 | 91 | 85 | 79 | 74 | 69 | 66 | 62 | 59 | 56 | 53 | 50 | 49 |
52 | 134 | 121 | 111 | 102 | 95 | 89 | 83 | 77 | 72 | 68 | 65 | 61 | 58 | 55 | 53 | 51 |
53 | 139 | 126 | 115 | 106 | 98 | 92 | 86 | 80 | 74 | 71 | 67 | 64 | 60 | 58 | 55 | 53 |
54 | 144 | 131 | 120 | 110 | 102 | 95 | 89 | 83 | 77 | 73 | 70 | 66 | 63 | 60 | 57 | 54 |
55 | 149 | 136 | 124 | 114 | 106 | 99 | 92 | 86 | 80 | 76 | 70 | 69 | 65 | 62 | 59 | 57 |
56 | 155 | 141 | 129 | 119 | 110 | 103 | 96 | 89 | 83 | 79 | 75 | 71 | 68 | 65 | 62 | 59 |
57 | 160 | 146 | 133 | 123 | 114 | 107 | 99 | 93 | 86 | 82 | 77 | 74 | 70 | 67 | 64 | 61 |
58 | 166 | 151 | 138 | 127 | 118 | 110 | 103 | 96 | 90 | 85 | 80 | 76 | 73 | 69 | 66 | 63 |
59 | 172 | 156 | 143 | 133 | 123 | 115 | 106 | 100 | 93 | 88 | 83 | 79 | 75 | 72 | 68 | 65 |
60 | 178 | 162 | 148 | 137 | 128 | 119 | 110 | 103 | 97 | 91 | 86 | 82 | 78 | 74 | 70 | 67 |
61 | 184 | 167 | 153 | 141 | 131 | 122 | 113 | 107 | 100 | 94 | 89 | 85 | 80 | 76 | 72 | 69 |
62 | 190 | 173 | 158 | 145 | 135 | 125 | 117 | 110 | 103 | 97 | 92 | 87 | 83 | 79 | 75 | 72 |
[page] 35
TABLE XIII. For computing the Effects of Parallax on the MOON's Distance from the SUN or a STAR, by Mr. LYONS's Method. | ||||||||||||||||
Parallax in Altitude or Distance. | Apparent Distance: Add the Difference of the two Numbers taken out of this Table, if the Apparent Distance is less than 90°, and subtract it if above. |
|||||||||||||||
26° | 27° | 28° | 29° | 30° | 31° | 32° | 33° | 34° | 35° | 36° | 37° | 38° | ||||
M | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | |||
5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |||
8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | |||
10 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |||
11 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | |||
12 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | |||
13 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | |||
14 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | |||
15 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | |||
16 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 2 | 2 | |||
17 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | |||
18 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 3 | 3 | |||
19 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | |||
20 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 4 | 4 | |||
21 | 8 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | |||
22 | 9 | 8 | 8 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | 5 | 5 | |||
23 | 9 | 9 | 9 | 8 | 8 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | |||
24 | 10 | 9 | 9 | 9 | 9 | 8 | 8 | 7 | 7 | 7 | 7 | 6 | 6 | |||
25 | 11 | 10 | 10 | 10 | 9 | 9 | 9 | 8 | 8 | 8 | 7 | 7 | 7 | |||
26 | 12 | 11 | 11 | 10 | 10 | 9 | 9 | 9 | 9 | 8 | 8 | 7 | 7 | |||
27 | 13 | 12 | 12 | 11 | 11 | 10 | 10 | 10 | 9 | 9 | 9 | 8 | 8 | |||
28 | 14 | 13 | 13 | 12 | 12 | 11 | 11 | 10 | 10 | 9 | 9 | 8 | 8 | |||
29 | 15 | 14 | 14 | 13 | 13 | 12 | 12 | 11 | 11 | 10 | 10 | 9 | 9 | |||
30 | 16 | 15 | 15 | 14 | 14 | 13 | 13 | 12 | 12 | 11 | 11 | 10 | 10 | |||
31 | 17 | 16 | 16 | 15 | 15 | 14 | 14 | 13 | 13 | 12 | 11 | 11 | 11 | |||
32 | 18 | 17 | 17 | 16 | 16 | 15 | 15 | 14 | 14 | 13 | 12 | 11 | 11 | |||
33 | 19 | 19 | 18 | 17 | 17 | 16 | 16 | 15 | 14 | 14 | 13 | 12 | 12 | |||
34 | 21 | 20 | 19 | 18 | 18 | 17 | 17 | 16 | 15 | 14 | 14 | 13 | 13 | |||
35 | 22 | 21 | 20 | 19 | 19 | 18 | 17 | 17 | 16 | 15 | 14 | 14 | 13 | |||
36 | 23 | 22 | 21 | 20 | 20 | 19 | 18 | 17 | 17 | 16 | 15 | 14 | 14 | |||
37 | 24 | 23 | 22 | 21 | 21 | 20 | 19 | 18 | 18 | 17 | 16 | 15 | 15 | |||
38 | 26 | 24 | 23 | 22 | 22 | 21 | 20 | 19 | 19 | 18 | 17 | 16 | 16 | |||
39 | 27 | 26 | 24 | 24 | 23 | 22 | 21 | 20 | 20 | 19 | 18 | 17 | 17 | |||
40 | 29 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 21 | 20 | 19 | 18 | 18 | |||
41 | 30 | 29 | 27 | 26 | 25 | 24 | 23 | 23 | 22 | 21 | 20 | 19 | 19 | |||
42 | 32 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | 20 | |||
43 | 33 | 32 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 21 | |||
44 | 35 | 33 | 32 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 22 | |||
45 | 36 | 35 | 33 | 32 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 23 | |||
46 | 38 | 36 | 35 | 33 | 32 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 24 | |||
47 | 40 | 38 | 36 | 35 | 33 | 32 | 30 | 29 | 28 | 27 | 26 | 26 | 25 | |||
48 | 42 | 40 | 38 | 36 | 35 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | |||
49 | 43 | 41 | 39 | 38 | 36 | 35 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | |||
50 | 45 | 43 | 41 | 39 | 38 | 36 | 35 | 33 | 32 | 31 | 30 | 29 | 28 | |||
51 | 47 | 45 | 43 | 41 | 39 | 38 | 36 | 35 | 33 | 32 | 31 | 30 | 29 | |||
52 | 49 | 47 | 45 | 43 | 41 | 39 | 38 | 36 | 35 | 33 | 32 | 31 | 30 | |||
53 | 50 | 48 | 46 | 44 | 42 | 41 | 39 | 38 | 36 | 35 | 33 | 32 | 31 | |||
54 | 52 | 50 | 48 | 46 | 44 | 42 | 41 | 39 | 38 | 36 | 35 | 33 | 32 | |||
55 | 54 | 52 | 49 | 47 | 45 | 44 | 42 | 41 | 39 | 38 | 36 | 35 | 33 | |||
56 | 56 | 53 | 51 | 49 | 47 | 45 | 44 | 42 | 41 | 39 | 38 | 36 | 35 | |||
57 | 58 | 55 | 53 | 51 | 49 | 47 | 45 | 44 | 42 | 41 | 39 | 37 | 36 | |||
58 | 60 | 57 | 55 | 53 | 51 | 49 | 47 | 45 | 44 | 42 | 40 | 38 | 37 | |||
59 | 62 | 59 | 57 | 55 | 53 | 51 | 48 | 47 | 45 | 43 | 41 | 40 | 38 | |||
60 | 64 | 61 | 59 | 56 | 54 | 52 | 50 | 48 | 47 | 45 | 43 | 41 | 40 | |||
61 | 66 | 63 | 61 | 58 | 56 | 54 | 52 | 50 | 48 | 46 | 44 | 43 | 41 | |||
62 | 69 | 66 | 63 | 60 | 58 | 56 | 54 | 52 | 50 | 48 | 46 | 44 | 43 |
E 2
[page] 36
TABLE XIII. For computing the Effects of Parallax on the MOON's Distance from the SUN or a STAR, by Mr. LYONS's Method. | ||||||||||||||||
Parallax in Altitude or Distance. | Apparent Distance: Add the Difference of the two Numbers taken out of this Table, if the Apparent Distance is less than 90°, and subtract it if above. |
|||||||||||||||
39° | 40° | 41° | 42° | 43° | 44° | 45° | 46° | 47° | 48° | 49° | 50° | 51° | ||||
M | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | |||
5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |||
8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |||
10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | |||
11 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | |||
12 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | |||
13 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |||
14 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | |||
15 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | |||
16 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | |||
17 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | |||
18 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | |||
19 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | |||
20 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | |||
21 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | |||
22 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | |||
23 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | |||
24 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | |||
25 | 7 | 6 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | |||
26 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | |||
27 | 8 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | |||
28 | 8 | 8 | 8 | 8 | 7 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | |||
29 | 9 | 9 | 9 | 8 | 8 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 6 | |||
30 | 9 | 9 | 9 | 9 | 8 | 8 | 8 | 8 | 7 | 7 | 6 | 6 | 6 | |||
31 | 10 | 10 | 10 | 9 | 9 | 8 | 8 | 8 | 8 | 7 | 7 | 7 | 6 | |||
32 | 10 | 10 | 10 | 10 | 9 | 9 | 9 | 9 | 8 | 8 | 7 | 7 | 6 | |||
33 | 11 | 10 | 10 | 10 | 10 | 10 | 9 | 9 | 8 | 8 | 7 | 7 | 7 | |||
34 | 12 | 11 | 11 | 11 | 10 | 10 | 10 | 10 | 9 | 9 | 8 | 8 | 7 | |||
35 | 13 | 12 | 12 | 11 | 11 | 11 | 10 | 10 | 9 | 9 | 8 | 8 | 8 | |||
36 | 13 | 13 | 13 | 12 | 11 | 11 | 11 | 11 | 10 | 10 | 9 | 9 | 9 | |||
37 | 14 | 13 | 13 | 12 | 12 | 11 | 11 | 11 | 10 | 10 | 10 | 10 | 10 | |||
38 | 15 | 14 | 14 | 13 | 13 | 12 | 12 | 12 | 12 | 11 | 11 | 11 | 11 | |||
39 | 16 | 15 | 15 | 14 | 14 | 13 | 13 | 13 | 13 | 12 | 12 | 11 | 11 | |||
40 | 17 | 16 | 16 | 15 | 15 | 14 | 14 | 14 | 13 | 13 | 12 | 12 | 12 | |||
41 | 18 | 17 | 17 | 16 | 15 | 15 | 14 | 14 | 14 | 13 | 13 | 12 | 12 | |||
42 | 19 | 18 | 18 | 17 | 16 | 15 | 15 | 15 | 14 | 14 | 13 | 13 | 13 | |||
43 | 20 | 18 | 18 | 17 | 16 | 16 | 15 | 15 | 14 | 14 | 13 | 13 | 13 | |||
44 | 20 | 19 | 19 | 18 | 17 | 16 | 16 | 16 | 15 | 14 | 13 | 13 | 13 | |||
45 | 21 | 20 | 20 | 19 | 18 | 17 | 17 | 16 | 15 | 14 | 14 | 13 | 13 | |||
46 | 22 | 21 | 20 | 19 | 19 | 18 | 18 | 17 | 16 | 15 | 14 | 14 | 14 | |||
47 | 23 | 22 | 22 | 21 | 20 | 20 | 19 | 18 | 17 | 16 | 15 | 15 | 15 | |||
48 | 24 | 23 | 23 | 22 | 22 | 21 | 20 | 19 | 18 | 17 | 16 | 16 | 16 | |||
49 | 26 | 24 | 24 | 24 | 23 | 22 | 21 | 20 | 19 | 18 | 17 | 17 | 17 | |||
50 | 27 | 26 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | 19 | 18 | 18 | 18 | |||
51 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 22 | 21 | 20 | 19 | 18 | 18 | |||
52 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | 19 | 19 | 18 | |||
53 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | 19 | 19 | |||
54 | 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | 19 | |||
55 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | |||
56 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | |||
57 | 35 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | |||
58 | 36 | 35 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | |||
59 | 37 | 36 | 34 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | 25 | 24 | |||
60 | 38 | 37 | 35 | 34 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | 25 | |||
61 | 40 | 38 | 36 | 35 | 34 | 33 | 32 | 31 | 30 | 29 | 28 | 27 | 26 | |||
62 | 41 | 40 | 38 | 36 | 35 | 34 | 33 | 32 | 31 | 30 | 29 | 28 | 27 |
[page] 37
TABLE XIII. For computing the Effects of Parallax on the MOON's Distance from the SUN or a STAR, by Mr. LYONS's Method. | ||||||||||||||||
Parallax in Altitude or Distance. | Apparent Distance. Add the Difference of the two Numbers taken out of this Table, if the Apparent Distance is less than 90°, and subtract it if above. |
|||||||||||||||
52° | 53° | 54° | 55° | 56° | 57° | 58° | 59° | 60° 120 | 65° 115 | 70° 110 | 75° 105 | 80° 100 | 85° 95 | 90° 90 | ||
M | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | ″ | |
5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
13 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
14 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | |
15 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | |
16 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | |
17 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | |
18 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | |
19 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | |
20 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 0 | 0 | 0 | |
21 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 0 | 0 | 0 | |
22 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | |
23 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | |
24 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 | 1 | 1 | 0 | 0 | |
25 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 | 1 | 1 | 0 | 0 | |
26 | 5 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 2 | 1 | 1 | 0 | 0 | |
27 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 2 | 1 | 1 | 0 | 0 | |
28 | 6 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 3 | 2 | 2 | 1 | 0 | 0 | |
29 | 6 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 3 | 2 | 2 | 1 | 0 | 0 | |
30 | 6 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 3 | 2 | 1 | 0 | 0 | |
31 | 6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 4 | 3 | 2 | 1 | 0 | 0 | |
32 | 6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 3 | 2 | 1 | 0 | 0 | |
33 | 6 | 6 | 6 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 3 | 2 | 1 | 0 | 0 | |
34 | 7 | 6 | 6 | 6 | 6 | 6 | 5 | 5 | 5 | 4 | 4 | 2 | 1 | 0 | 0 | |
35 | 8 | 7 | 7 | 6 | 6 | 6 | 6 | 6 | 5 | 4 | 4 | 2 | 1 | 0 | 0 | |
36 | 8 | 8 | 7 | 7 | 7 | 7 | 6 | 6 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | |
37 | 9 | 9 | 8 | 8 | 8 | 7 | 7 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | |
38 | 10 | 10 | 9 | 9 | 9 | 8 | 8 | 7 | 7 | 5 | 4 | 3 | 2 | 1 | 0 | |
39 | 11 | 10 | 10 | 9 | 9 | 9 | 8 | 8 | 7 | 5 | 4 | 3 | 2 | 1 | 0 | |
40 | 11 | 11 | 10 | 10 | 9 | 9 | 8 | 8 | 8 | 6 | 5 | 3 | 2 | 1 | 0 | |
41 | 12 | 12 | 11 | 10 | 10 | 10 | 9 | 9 | 8 | 6 | 5 | 3 | 2 | 1 | 0 | |
42 | 12 | 12 | 11 | 11 | 10 | 10 | 9 | 9 | 9 | 7 | 5 | 4 | 2 | 1 | 0 | |
43 | 12 | 12 | 11 | 11 | 10 | 10 | 9 | 9 | 9 | 7 | 5 | 4 | 2 | 1 | 0 | |
44 | 12 | 12 | 11 | 11 | 11 | 10 | 10 | 9 | 9 | 7 | 6 | 4 | 2 | 1 | 0 | |
45 | 13 | 12 | 12 | 11 | 11 | 11 | 10 | 10 | 9 | 7 | 6 | 4 | 2 | 1 | 0 | |
46 | 13 | 13 | 12 | 12 | 12 | 11 | 11 | 10 | 10 | 8 | 7 | 5 | 3 | 1 | 0 | |
47 | 14 | 14 | 13 | 12 | 12 | 12 | 11 | 11 | 10 | 8 | 7 | 5 | 3 | 1 | 0 | |
48 | 15 | 14 | 13 | 13 | 12 | 12 | 12 | 11 | 11 | 9 | 7 | 5 | 3 | 2 | 0 | |
49 | 16 | 15 | 14 | 14 | 14 | 13 | 13 | 12 | 11 | 9 | 7 | 5 | 3 | 2 | 0 | |
50 | 17 | 16 | 15 | 15 | 14 | 13 | 13 | 12 | 12 | 10 | 8 | 6 | 4 | 2 | 0 | |
51 | 17 | 16 | 16 | 15 | 15 | 14 | 14 | 13 | 12 | 10 | 8 | 6 | 4 | 2 | 0 | |
52 | 17 | 17 | 16 | 16 | 15 | 15 | 14 | 14 | 13 | 10 | 8 | 6 | 4 | 2 | 0 | |
53 | 18 | 18 | 17 | 16 | 16 | 15 | 14 | 14 | 13 | 10 | 8 | 6 | 4 | 2 | 0 | |
54 | 19 | 18 | 17 | 17 | 16 | 16 | 15 | 15 | 14 | 11 | 9 | 7 | 4 | 2 | 0 | |
55 | 19 | 18 | 18 | 17 | 17 | 16 | 16 | 15 | 14 | 11 | 9 | 7 | 4 | 2 | 0 | |
56 | 20 | 19 | 18 | 18 | 17 | 16 | 16 | 15 | 15 | 12 | 9 | 7 | 5 | 2 | 0 | |
57 | 21 | 20 | 19 | 19 | 19 | 18 | 17 | 16 | 15 | 12 | 9 | 7 | 5 | 2 | 0 | |
58 | 22 | 21 | 20 | 20 | 19 | 18 | 17 | 16 | 16 | 13 | 10 | 7 | 5 | 2 | 0 | |
59 | 23 | 22 | 21 | 21 | 20 | 19 | 18 | 17 | 17 | 13 | 10 | 7 | 5 | 2 | 0 | |
60 | 24 | 23 | 22 | 22 | 21 | 20 | 19 | 18 | 18 | 14 | 11 | 8 | 5 | 3 | 0 | |
61 | 25 | 24 | 23 | 23 | 22 | 21 | 20 | 19 | 18 | 15 | 11 | 8 | 5 | 3 | 0 | |
62 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | 19 | 19 | 16 | 12 | 9 | 6 | 3 | 0 |
[page] 38
TABLE XIV. For turning Degrees and Minutes into Time, and the contrary. | |
D | H M |
M | M S |
1 | 0.4 |
2 | 0.8 |
3 | 0.12 |
4 | 0.16 |
5 | 0.20 |
6 | 0.24 |
7 | 0.28 |
8 | 0.32 |
9 | 0.36 |
10 | 0.40 |
11 | 0.44 |
12 | 0.48 |
13 | 0.52 |
14 | 0.56 |
15 | 1.0 |
16 | 1.4 |
17 | 1.8 |
18 | 1.12 |
19 | 1.16 |
20 | 1.20 |
21 | 1.24 |
22 | 1.28 |
23 | 1.32 |
24 | 1.36 |
25 | 1.40 |
26 | 1.44 |
27 | 1.48 |
28 | 1.52 |
29 | 1.56 |
30 | 2.0 |
31 | 2.4 |
32 | 2.8 |
33 | 2.12 |
34 | 2.16 |
35 | 2.20 |
36 | 2.24 |
37 | 2.28 |
38 | 2.32 |
39 | 2.36 |
40 | 2.40 |
41 | 2.44 |
42 | 2.48 |
43 | 2.52 |
44 | 2.56 |
45 | 3.0 |
46 | 3.4 |
47 | 3.8 |
48 | 3.12 |
49 | 3.16 |
50 | 3.20 |
51 | 3.24 |
52 | 3.28 |
53 | 3.32 |
54 | 3.36 |
55 | 3.40 |
56 | 3.44 |
57 | 3.48 |
58 | 3.52 |
59 | 3.56 |
60 | 4.0 |
61 | 4.4 |
62 | 4.8 |
63 | 4.12 |
64 | 4.16 |
65 | 4.20 |
66 | 4.24 |
67 | 4.28 |
68 | 4.32 |
69 | 4.36 |
70 | 4.40 |
71 | 4.44 |
72 | 4.48 |
73 | 4.52 |
74 | 4.56 |
75 | 5.0 |
76 | 5.4 |
77 | 5.8 |
78 | 5.12 |
79 | 5.16 |
80 | 5.20 |
81 | 5.24 |
82 | 5.28 |
83 | 5.32 |
84 | 5.36 |
85 | 5.40 |
86 | 5.44 |
87 | 5.48 |
88 | 5.52 |
89 | 5.56 |
90 | 6.0 |
91 | 6.4 |
92 | 6.8 |
93 | 6.12 |
94 | 6.16 |
95 | 6.20 |
96 | 6.24 |
97 | 6.28 |
98 | 6.32 |
99 | 6.36 |
100 | 6.40 |
101 | 6.44 |
102 | 6.48 |
103 | 6.52 |
104 | 6.56 |
105 | 7.0 |
106 | 7.4 |
107 | 7.8 |
108 | 7.12 |
109 | 7.16 |
110 | 7.20 |
111 | 7.24 |
112 | 7.28 |
113 | 7.32 |
114 | 7.36 |
115 | 7.40 |
116 | 7.44 |
117 | 7.48 |
118 | 7.52 |
119 | 7.56 |
120 | 8.0 |
121 | 8.4 |
122 | 8.8 |
123 | 8.12 |
124 | 8.16 |
125 | 8.20 |
126 | 8.24 |
127 | 8.28 |
128 | 8.32 |
129 | 8.36 |
130 | 8.40 |
131 | 8.44 |
132 | 8.48 |
133 | 8.52 |
134 | 8.56 |
135 | 9.0 |
136 | 9.4 |
137 | 9.8 |
138 | 9.12 |
139 | 9.16 |
140 | 9.20 |
141 | 9.24 |
142 | 9.28 |
143 | 9.32 |
144 | 9.36 |
145 | 9.40 |
146 | 9.44 |
147 | 9.48 |
148 | 9.52 |
149 | 9.56 |
150 | 10.0 |
151 | 10.4 |
152 | 10.8 |
153 | 10.12 |
154 | 10.16 |
155 | 10.20 |
156 | 10.24 |
157 | 10.28 |
158 | 10.32 |
159 | 10.36 |
160 | 10.40 |
161 | 10.44 |
162 | 10.48 |
163 | 10.52 |
164 | 10.56 |
165 | 11.0 |
166 | 11.4 |
167 | 11.8 |
168 | 11.12 |
169 | 11.16 |
170 | 11.20 |
171 | 11.24 |
172 | 11.28 |
173 | 11.32 |
174 | 11.36 |
175 | 11.40 |
176 | 11.44 |
177 | 11.48 |
178 | 11.52 |
179 | 11.56 |
180 | 12.0 |
181 | 12.4 |
182 | 12.8 |
183 | 12.12 |
184 | 12.16 |
185 | 12.20 |
186 | 12.24 |
187 | 12.28 |
188 | 12.32 |
189 | 12.36 |
190 | 12.40 |
191 | 12.44 |
192 | 12.48 |
193 | 12.52 |
194 | 12.56 |
195 | 13.0 |
196 | 13.4 |
197 | 13.8 |
198 | 13.12 |
199 | 13.16 |
200 | 13.20 |
201 | 13.24 |
202 | 13.28 |
203 | 13.32 |
204 | 13.36 |
205 | 13.40 |
206 | 13.44 |
207 | 13.48 |
208 | 13.52 |
209 | 13.56 |
210 | 14.0 |
211 | 14.4 |
212 | 14.8 |
213 | 14.12 |
214 | 14.16 |
215 | 14.20 |
216 | 14.24 |
217 | 14.28 |
218 | 14.32 |
219 | 14.36 |
220 | 14.40 |
221 | 14.44 |
222 | 14.48 |
223 | 14.52 |
224 | 14.56 |
225 | 15.0 |
226 | 15.4 |
227 | 15.8 |
228 | 15.12 |
229 | 15.16 |
230 | 15.20 |
231 | 15.24 |
232 | 15.28 |
233 | 15.32 |
234 | 15.36 |
235 | 15.40 |
236 | 15.44 |
237 | 15.48 |
238 | 15.52 |
239 | 15.56 |
240 | 16.0 |
241 | 16.4 |
242 | 16.8 |
243 | 16.12 |
244 | 16.16 |
245 | 16.20 |
246 | 16.24 |
247 | 16.28 |
248 | 16.32 |
249 | 16.36 |
250 | 16.40 |
251 | 16.44 |
252 | 16.48 |
253 | 16.52 |
254 | 16.56 |
255 | 17.0 |
256 | 17.4 |
257 | 17.8 |
258 | 17.12 |
259 | 17.16 |
260 | 17.20 |
261 | 17.24 |
262 | 17.28 |
263 | 17.32 |
264 | 17.36 |
265 | 17.40 |
266 | 17.44 |
267 | 17.48 |
268 | 17.52 |
269 | 17.56 |
270 | 18.0 |
271 | 18.4 |
272 | 18.8 |
273 | 18.12 |
274 | 18.16 |
275 | 18.20 |
276 | 18.24 |
277 | 18.28 |
278 | 18.32 |
279 | 18.32 |
280 | 18.40 |
281 | 18.44 |
282 | 18.48 |
283 | 18.52 |
284 | 18.56 |
285 | 19.0 |
286 | 19.4 |
287 | 19.8 |
288 | 19.12 |
289 | 19.16 |
290 | 19.20 |
291 | 19.24 |
292 | 19.28 |
293 | 19.32 |
294 | 19.36 |
295 | 19.40 |
296 | 19.44 |
297 | 19.48 |
298 | 19.52 |
299 | 19.56 |
300 | 20.0 |
301 | 20.4 |
302 | 20.8 |
303 | 20.12 |
304 | 20.16 |
305 | 20.20 |
306 | 20.24 |
307 | 20.28 |
308 | 20.32 |
309 | 20.36 |
310 | 20.40 |
311 | 20.44 |
312 | 20.48 |
313 | 20.52 |
314 | 20.56 |
315 | 21.0 |
316 | 21.4 |
317 | 21.8 |
318 | 21.12 |
319 | 21.16 |
320 | 21.20 |
321 | 21.24 |
322 | 21.28 |
323 | 21.32 |
324 | 21.36 |
325 | 21.40 |
326 | 21.44 |
327 | 21.48 |
328 | 21.52 |
329 | 21.56 |
330 | 22.0 |
331 | 22.4 |
332 | 22.8 |
333 | 22.12 |
334 | 22.16 |
335 | 22.20 |
336 | 22.24 |
337 | 22.28 |
338 | 22.32 |
339 | 22.36 |
340 | 22.40 |
341 | 22.44 |
342 | 22.48 |
343 | 22.52 |
344 | 22.56 |
345 | 23.0 |
346 | 23.4 |
347 | 23.8 |
348 | 23.12 |
349 | 23.16 |
350 | 23.20 |
351 | 23.24 |
352 | 23.28 |
353 | 23.32 |
354 | 23.36 |
355 | 23.40 |
356 | 23.44 |
357 | 23.48 |
358 | 23.52 |
359 | 23.56 |
360 | 24.0 |
[page 39]
[page] 40
TABLE XV. Proportional Logarithms. | ||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | |
0° 0′ | 0° 1′ | 0° 2′ | 0° 3′ | 0° 4′ | 0° 5′ | 0° 6′ | 0° 7′ | 0° 8′ | ||
0½ | 4.3345 | 2.2553 | 1.9542 | 1.7782 | 1.6532 | 1.5563 | 1.4771 | 1.4102 | 1.3522 | |
1 | 4.0334 | 2.2481 | 1.9506 | 1.7757 | 1.6514 | 1.5549 | 1.4759 | 1.4091 | 1.3513 | |
2 | 3.7324 | 2.2410 | 1.9471 | 1.7734 | 1.6496 | 1.5534 | 1.4747 | 1.4081 | 1.3504 | |
3 | 3.5563 | 2.2341 | 1.9435 | 1.7710 | 1.6478 | 1.5520 | 1.4735 | 1.4071 | 1.3495 | |
4 | 3.4314 | 2.2272 | 1.9400 | 1.7686 | 1.6460 | 1.5506 | 1.4723 | 1.4061 | 1.3486 | |
5 | 3.3345 | 2.2205 | 1.9365 | 1.7663 | 1.6443 | 1.5491 | 1.4711 | 1.4050 | 1.3477 | |
6 | 3.2553 | 2.2139 | 1.9331 | 1.7639 | 1.6425 | 1.5477 | 1.4699 | 1.4040 | 1.3468 | |
7 | 3.1883 | 2.2073 | 1.9296 | 1.7616 | 1.6407 | 1.5463 | 1.4688 | 1.4030 | 1.3459 | |
8 | 3.1303 | 2.2009 | 1.9262 | 1.7593 | 1.6390 | 1.5449 | 1.4676 | 1.4020 | 1.3450 | |
9 | 3.0792 | 2.1946 | 1.9228 | 1.7570 | 1.6372 | 1.5435 | 1.4664 | 1.4010 | 1.3441 | |
10 | 3.0334 | 2.1883 | 1.9195 | 1.7547 | 1.6355 | 1.5421 | 1.4652 | 1.4000 | 1.3432 | |
11 | 2.9920 | 2.1822 | 1.9162 | 1.7524 | 1.6338 | 1.5407 | 1.4640 | 1.3989 | 1.3423 | |
12 | 2.9542 | 2.1761 | 1.9128 | 1.7501 | 1.6320 | 1.5393 | 1.4629 | 1.3979 | 1.3415 | |
13 | 2.9195 | 2.1701 | 1.9096 | 1.7479 | 1.6303 | 1.5379 | 1.4617 | 1.3969 | 1.3406 | |
14 | 2.8873 | 2.1642 | 1.9063 | 1.7456 | 1.6286 | 1.5365 | 1.4606 | 1.3959 | 1.3397 | |
15 | 2.8573 | 2.1584 | 1.9031 | 1.7434 | 1.6269 | 1.5351 | 1.4594 | 1.3949 | 1.3388 | |
16 | 2.8293 | 2.1526 | 1.8999 | 1.7412 | 1.6252 | 1.5337 | 1.4582 | 1.3939 | 1.3379 | |
17 | 2.8030 | 2.1469 | 1.8967 | 1.7390 | 1.6235 | 1.5324 | 1.4571 | 1.3929 | 1.3371 | |
18 | 2.7782 | 2.1413 | 1.8935 | 1.7368 | 1.6218 | 1.5310 | 1.4559 | 1.3919 | 1.3362 | |
19 | 2.7547 | 2.1358 | 1.8904 | 1.7346 | 1.6201 | 1.5296 | 1.4548 | 1.3910 | 1.3353 | |
20 | 2.7324 | 2.1303 | 1.8873 | 1.7324 | 1.6185 | 1.5283 | 1.4536 | 1.3900 | 1.3345 | |
21 | 2.7112 | 2.1249 | 1.8842 | 1.7302 | 1.6168 | 1.5269 | 1.4525 | 1.3890 | 1.3336 | |
22 | 2.6910 | 2.1196 | 1.8811 | 1.7281 | 1.6151 | 1.5256 | 1.4514 | 1.3880 | 1.3327 | |
23 | 2.6717 | 2.1143 | 1.8781 | 1.7259 | 1.6135 | 1.5242 | 1.4502 | 1.3870 | 1.3319 | |
24 | 2.6532 | 2.101 | 1.8751 | 1.7238 | 1.6118 | 1.5229 | 1.4491 | 1.3860 | 1.3310 | |
25 | 2.6355 | 2.1040 | 1.8721 | 1.7217 | 1.6102 | 1.5215 | 1.4480 | 1.3851 | 1.3301 | |
26 | 2.6185 | 2.0989 | 1.8691 | 1.7196 | 1.6085 | 1.5202 | 1.4468 | 1.3841 | 1.3293 | |
27 | 2.6021 | 2.0939 | 1.8661 | 1.7175 | 1.6069 | 1.5189 | 1.4457 | 1.3831 | 1.3284 | |
28 | 2.5863 | 2.0889 | 1.8632 | 1.7154 | 1.6053 | 1.5175 | 1.4446 | 1.3821 | 1.3276 | |
29 | 2.5710 | 2.0840 | 1.8602 | 1.7133 | 1.6037 | 1.5162 | 1.4435 | 1.3812 | 1.3267 | |
30 | 2.5563 | 2.0792 | 1.8573 | 1.7112 | 1.6021 | 1.5149 | 1.4424 | 1.3802 | 1.3259 | |
31 | 2.5421 | 2.0744 | 1.8544 | 1.7091 | 1.6005 | 1.5136 | 1.4412 | 1.3792 | 1.3250 | |
32 | 2.5283 | 2.0696 | 1.8516 | 1.7071 | 1.5989 | 1.5123 | 1.4401 | 1.3783 | 1.3242 | |
33 | 2.5149 | 2.0649 | 1.8487 | 1.7050 | 1.5973 | 1.5110 | 1.4390 | 1.3773 | 1.3233 | |
34 | 2.5019 | 2.0603 | 1.8459 | 1.7030 | 1.5957 | 1.5097 | 1.4379 | 1.3764 | 1.3225 | |
35 | 2.4894 | 2.0557 | 1.8431 | 1.7010 | 1.5941 | 1.5084 | 1.4368 | 1.3754 | 1.3216 | |
36 | 2.4771 | 2.0512 | 1.8403 | 1.6990 | 1.5925 | 1.5071 | 1.4357 | 1.3745 | 1.3208 | |
37 | 2.4652 | 2.0467 | 1.8375 | 1.6970 | 1.5909 | 1.5058 | 1.4346 | 1.3735 | 1.3199 | |
38 | 2.4536 | 2.0422 | 1.8348 | 1.6950 | 1.5894 | 1.5045 | 1.4335 | 1.3726 | 1.3191 | |
39 | 2.4424 | 2.0378 | 1.8320 | 1.6930 | 1.5878 | 1.5032 | 1.4325 | 1.3716 | 1.3183 | |
40 | 2.4314 | 2.0334 | 1.8293 | 1.6910 | 1.5863 | 1.5019 | 1.4314 | 1.3707 | 1.3174 | |
41 | 2.4206 | 2.0291 | 1.8266 | 1.6890 | 1.5847 | 1.5007 | 1.4303 | 1.3697 | 1.3166 | |
42 | 2.4102 | 2.0248 | 1.8239 | 1.6871 | 1.5832 | 1.4994 | 1.4292 | 1.3688 | 1.3158 | |
43 | 2.4000 | 2.0206 | 1.8212 | 1.6851 | 1.5816 | 1.4981 | 1.4281 | 1.3678 | 1.3149 | |
44 | 2.3900 | 2.0164 | 1.8186 | 1.6832 | 1.5801 | 1.4969 | 1.4270 | 1.3669 | 1.3141 | |
45 | 2.3802 | 2.0122 | 1.8159 | 1.6812 | 1.5786 | 1.4956 | 1.4260 | 1.3660 | 1.3133 | |
46 | 2.3707 | 2.0081 | 1.8133 | 1.6793 | 1.5771 | 1.4943 | 1.4249 | 1.3650 | 1.3124 | |
47 | 2.3613 | 2.0040 | 1.8107 | 1.6774 | 1.5755 | 1.4931 | 1.4238 | 1.3641 | 1.3116 | |
48 | 2.3522 | 2.0000 | 1.8081 | 1.6755 | 1.5740 | 1.4918 | 1.4228 | 1.3632 | 1.3108 | |
49 | 2.3432 | 1.9960 | 1.8055 | 1.6736 | 1.5725 | 1.4906 | 1.4217 | 1.3623 | 1.3100 | |
50 | 2.3345 | 1.9920 | 1.8030 | 1.6717 | 1.5710 | 1.4894 | 1.4206 | 1.3613 | 1.3091 | |
51 | 2.3259 | 1.9881 | 1.8004 | 1.6698 | 1.5695 | 1.4881 | 1.4196 | 1.3604 | 1.3083 | |
52 | 2.3174 | 1.9842 | 1.7979 | 1.6679 | 1.5680 | 1.4869 | 1.4185 | 1.3595 | 1.3075 | |
53 | 2.3091 | 1.9803 | 1.7854 | 1.6661 | 1.5666 | 1.4856 | 1.4175 | 1.3586 | 1.3067 | |
54 | 2.3010 | 1.9765 | 1.7929 | 1.6642 | 1.5651 | 1.4844 | 1.4164 | 1.3576 | 1.3059 | |
55 | 2.2931 | 1.9727 | 1.7904 | 1.6624 | 1.5636 | 1.4832 | 1.4154 | 1.3567 | 1.3051 | |
56 | 2.2852 | 1.9690 | 1.7879 | 1.6605 | 1.5621 | 1.4820 | 1.4143 | 1.3558 | 1.3043 | |
57 | 2.2775 | 1.9652 | 1.7855 | 1.6587 | 1.5607 | 1.4808 | 1.4133 | 1.3549 | 1.3034 | |
58 | 2.2700 | 1.9615 | 1.7830 | 1.6568 | 1.5592 | 1.4795 | 1.4122 | 1.3540 | 1.3026 | |
59 | 2.2626 | 1.9579 | 1.7806 | 1.6550 | 1.5578 | 1.4783 | 1.4112 | 1.3531 | 1.3018 | |
60 | 2.2553 | 1.9542 | 1.7782 | 1.6532 | 1.5563 | 1.4771 | 1.4102 | 1.3522 | 1.3010 |
[page] 41
TABLE XV. Proportional Logarithms. | ||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | |
0° 9′ | 0° 10′ | 0° 11′ | 0° 12′ | 0° 13′ | 0° 14′ | 0° 15′ | 0° 16′ | 0° 17′ | ||
0 | 1.3010 | 1.2553 | 1.2139 | 1.1761 | 1.1413 | 1.1091 | 1.0792 | 1.0512 | 1.0248 | |
1 | 1.3002 | 1.2545 | 1.2132 | 1.1755 | 1.1408 | 1.1086 | 1.0787 | 1.0507 | 1.0244 | |
2 | 1.2994 | 1.2538 | 1.2126 | 1.1749 | 1.1402 | 1.1081 | 1.0782 | 1.0502 | 1.0240 | |
3 | 1.2986 | 1.2531 | 1.2119 | 1.1743 | 1.1397 | 1.1076 | 1.0777 | 1.0498 | 1.0235 | |
4 | 1.2978 | 1.2524 | 1.2113 | 1.1737 | 1.1391 | 1.1071 | 1.0773 | 1.0493 | 1.0231 | |
5 | 1.2970 | 1.2517 | 1.2106 | 1.1731 | 1.1386 | 1.1066 | 1.0768 | 1.0489 | 1.0227 | |
6 | 1.2962 | 1.2510 | 1.2099 | 1.1725 | 1.1380 | 1.1061 | 1.0763 | 1.0484 | 1.0223 | |
7 | 1.2954 | 1.2502 | 1.2093 | 1.1719 | 1.1374 | 1.1055 | 1.0758 | 1.0480 | 1.0219 | |
8 | 1.2946 | 1.2495 | 1.2086 | 1.1713 | 1.1369 | 1.1050 | 1.0753 | 1.0475 | 1.0214 | |
9 | 1.2939 | 1.2488 | 1.2080 | 1.1707 | 1.1363 | 1.1045 | 1.0749 | 1.0471 | 1.0210 | |
10 | 1.2931 | 1.2481 | 1.2073 | 1.1701 | 1.1358 | 1.1040 | 1.0744 | 1.0467 | 1.0206 | |
11 | 1.2923 | 1.2474 | 1.2067 | 1.1695 | 1.1352 | 1.1035 | 1.0739 | 1.0462 | 1.0202 | |
12 | 1.2915 | 1.2467 | 1.2061 | 1.1689 | 1.1347 | 1.1030 | 1.0734 | 1.0458 | 1.0197 | |
13 | 1.2907 | 1.2460 | 1.2054 | 1.1683 | 1.1342 | 1.1025 | 1.0730 | 1.0453 | 1.0193 | |
14 | 1.2899 | 1.2453 | 1.2048 | 1.1677 | 1.1336 | 1.1020 | 1.0725 | 1.0449 | 1.0189 | |
15 | 1.2891 | 1.2445 | 1.2041 | 1.1671 | 1.1331 | 1.1015 | 1.0720 | 1.0444 | 1.0185 | |
16 | 1.2883 | 1.2438 | 1.2035 | 1.1665 | 1.1325 | 1.1009 | 1.0715 | 1.0440 | 1.0181 | |
17 | 1.2876 | 1.2431 | 1.2028 | 1.1660 | 1.1320 | 1.1004 | 1.0711 | 1.0435 | 1.0176 | |
18 | 1.2868 | 1.2424 | 1.2022 | 1.1654 | 1.1314 | 1.0999 | 1.0706 | 1.0431 | 1.0172 | |
19 | 1.2860 | 1.2417 | 1.2016 | 1.1648 | 1.1309 | 1.0994 | 1.0701 | 1.0426 | 1.0168 | |
20 | 1.2852 | 1.2410 | 1.2009 | 1.1642 | 1.1303 | 1.0989 | 1.0696 | 1.0422 | 1.0164 | |
21 | 1.2845 | 1.2403 | 1.2003 | 1.1636 | 1.1298 | 1.0984 | 1.0692 | 1.0418 | 1.0160 | |
22 | 1.2837 | 1.2396 | 1.1996 | 1.1630 | 1.1292 | 1.0979 | 1.0687 | 1.0413 | 1.0156 | |
23 | 1.2829 | 1.2389 | 1.1990 | 1.1624 | 1.1287 | 1.0974 | 1.0682 | 1.0409 | 1.0151 | |
24 | 1.2821 | 1.2382 | 1.1984 | 1.1619 | 1.1282 | 1.0969 | 1.0678 | 1.0404 | 1.0147 | |
25 | 1.2814 | 1.2375 | 1.1977 | 1.1613 | 1.1276 | 1.0964 | 1.0673 | 1.0400 | 1.0143 | |
26 | 1.2806 | 1.2368 | 1.1971 | 1.1607 | 1.1271 | 1.0959 | 1.0668 | 1.0395 | 1.0139 | |
27 | 1.2798 | 1.2362 | 1.1965 | 1.1601 | 1.1266 | 1.0954 | 1.0663 | 1.0391 | 1.0135 | |
28 | 1.2791 | 1.2355 | 1.1958 | 1.1595 | 1.1260 | 1.0949 | 1.0659 | 1.0387 | 1.0131 | |
29 | 1.2783 | 1.2348 | 1.1952 | 1.1589 | 1.1255 | 1.0944 | 1.0654 | 1.0382 | 1.0126 | |
30 | 1.2775 | 1.2341 | 1.1946 | 1.1584 | 1.1249 | 1.0939 | 1.0649 | 1.0378 | 1.0122 | |
31 | 1.2768 | 1.2334 | 1.1939 | 1.1578 | 1.1244 | 1.0934 | 1.0645 | 1.0374 | 1.0118 | |
32 | 1.2760 | 1.2327 | 1.1933 | 1.1572 | 1.1239 | 1.0929 | 1.0640 | 1.0369 | 1.0114 | |
33 | 1.2753 | 1.2320 | 1.1927 | 1.1566 | 1.1233 | 1.0924 | 1.0635 | 1.0365 | 1.0110 | |
34 | 1.2745 | 1.2313 | 1.1921 | 1.1561 | 1.1228 | 1.0919 | 1.0631 | 1.0360 | 1.0106 | |
35 | 1.2738 | 1.2307 | 1.1914 | 1.1555 | 1.1223 | 1.0914 | 1.0626 | 1.0356 | 1.0102 | |
36 | 1.2730 | 1.2300 | 1.1908 | 1.1549 | 1.1217 | 1.0909 | 1.0621 | 1.0352 | 1.0098 | |
37 | 1.2722 | 1.2293 | 1.1902 | 1.1543 | 1.1212 | 1.0904 | 1.0617 | 1.0347 | 1.0093 | |
38 | 1.2715 | 1.2285 | 1.1896 | 1.1538 | 1.1207 | 1.0899 | 1.0612 | 1.0343 | 1.0089 | |
39 | 1.2707 | 1.2278 | 1.1889 | 1.1532 | 1.1201 | 1.0894 | 1.0608 | 1.0339 | 1.0085 | |
40 | 1.2700 | 1.2272 | 1.1883 | 1.1526 | 1.1196 | 1.0889 | 1.0603 | 1.0334 | 1.0081 | |
41 | 1.2692 | 1.2266 | 1.1877 | 1.1520 | 1.1191 | 1.0884 | 1.0598 | 1.0330 | 1.0077 | |
42 | 1.2685 | 1.2259 | 1.1871 | 1.1515 | 1.1186 | 1.0880 | 1.0594 | 1.0326 | 1.0073 | |
43 | 1.2678 | 1.2252 | 1.1865 | 1.1509 | 1.1180 | 1.0875 | 1.0589 | 1.0321 | 1.0069 | |
44 | 1.2670 | 1.2245 | 1.1858 | 1.1503 | 1.1175 | 1.0870 | 1.0585 | 1.0317 | 1.0065 | |
45 | 1.2663 | 1.2239 | 1.1852 | 1.1498 | 1.1170 | 1.0865 | 1.0580 | 1.0313 | 1.0061 | |
46 | 1.2655 | 1.2232 | 1.1846 | 1.1492 | 1.1164 | 1.0860 | 1.0575 | 1.0308 | 1.0057 | |
47 | 1.2648 | 1.2225 | 1.1840 | 1.1486 | 1.1159 | 1.0855 | 1.0571 | 1.0304 | 1.0053 | |
48 | 1.2640 | 1.2218 | 1.1834 | 1.1481 | 1.1154 | 1.0850 | 1.0566 | 1.0300 | 1.0049 | |
49 | 1.2633 | 1.2212 | 1.1828 | 1.1475 | 1.1149 | 1.0845 | 1.0562 | 1.0295 | 1.0044 | |
50 | 1.2626 | 1.2205 | 1.1822 | 1.1469 | 1.1143 | 1.0840 | 1.0557 | 1.0291 | 1.0040 | |
51 | 1.2618 | 1.2198 | 1.1816 | 1.1464 | 1.1138 | 1.0835 | 1.0552 | 1.0287 | 1.0036 | |
52 | 1.2611 | 1.2192 | 1.1809 | 1.1458 | 1.1133 | 1.0831 | 1.0548 | 1.0282 | 1.0032 | |
53 | 1.2604 | 1.2185 | 1.1803 | 1.1452 | 1.1128 | 1.0826 | 1.0543 | 1.0278 | 1.0028 | |
54 | 1.2596 | 1.2178 | 1.1797 | 1.1447 | 1.1123 | 1.0821 | 1.0539 | 1.0274 | 1.0024 | |
55 | 1.2589 | 1.2172 | 1.1791 | 1.1441 | 1.1117 | 1.0816 | 1.0534 | 1.0270 | 1.0020 | |
56 | 1.2582 | 1.2165 | 1.1785 | 1.1436 | 1.1112 | 1.0811 | 1.0530 | 1.0265 | 1.0016 | |
57 | 1.2574 | 1.2159 | 1.1779 | 1.1430 | 1.1107 | 1.0806 | 1.0525 | 1.0261 | 1.0012 | |
58 | 1.2567 | 1.2152 | 1.1773 | 1.1424 | 1.1102 | 1.0801 | 1.0521 | 1.0257 | 1.0008 | |
59 | 1.2560 | 1.2145 | 1.1767 | 1.1419 | 1.1097 | 1.0797 | 1.0516 | 1.0252 | 1.0004 | |
60 | 1.2553 | 1.2139 | 1.1761 | 1.1413 | 1.1091 | 1.0792 | 1.0512 | 1.0248 | 1.0000 |
F
[page] 42
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
0° 18′ | 0° 19′ | 0° 20′ | 0° 21′ | 0° 22′ | 0° 23′ | 0° 24′ | 0° 25′ | 0° 26′ | 0° 27′ | 0° 28′ | 0° 29′ | |||||
0 | 0000 | 9765 | 9542 | 9331 | 9128 | 8935 | 8751 | 8573 | 8403 | 8239 | 8081 | 7929 | ||||
1 | 9996 | 9761 | 9539 | 9327 | 9125 | 8932 | 8748 | 8570 | 8400 | 8236 | 8079 | 7926 | ||||
2 | 9992 | 9758 | 9535 | 9324 | 9122 | 8929 | 8745 | 8568 | 8397 | 8234 | 8076 | 7924 | ||||
3 | 9988 | 9754 | 9532 | 9320 | 9119 | 8926 | 8742 | 8565 | 8395 | 8231 | 8073 | 7921 | ||||
4 | 9984 | 9750 | 9528 | 9317 | 9115 | 8923 | 8739 | 8562 | 8392 | 8228 | 8071 | 7919 | ||||
5 | 9980 | 9746 | 9524 | 9313 | 9112 | 8920 | 8736 | 8559 | 8389 | 8226 | 8068 | 7916 | ||||
6 | 9976 | 9742 | 9521 | 9310 | 9109 | 8917 | 8733 | 8556 | 8386 | 8223 | 8066 | 7914 | ||||
7 | 9972 | 9739 | 9517 | 9306 | 9106 | 8913 | 8730 | 8553 | 8384 | 8220 | 8063 | 7911 | ||||
8 | 9968 | 9735 | 9514 | 9303 | 9102 | 8910 | 8727 | 8550 | 8381 | 8218 | 8061 | 7909 | ||||
9 | 9964 | 9731 | 9510 | 9300 | 9099 | 8907 | 8724 | 8547 | 8378 | 8215 | 8058 | 7906 | ||||
10 | 9960 | 9727 | 9506 | 9296 | 9096 | 8904 | 8721 | 8544 | 8375 | 8212 | 8055 | 7904 | ||||
11 | 9956 | 9723 | 9503 | 9293 | 9092 | 8901 | 8718 | 8542 | 8372 | 8210 | 8053 | 7901 | ||||
12 | 9952 | 9720 | 9499 | 9289 | 9089 | 8898 | 8715 | 8539 | 8370 | 8207 | 8050 | 7899 | ||||
13 | 9948 | 9716 | 9496 | 9286 | 9086 | 8895 | 8712 | 8536 | 8367 | 8204 | 8048 | 7896 | ||||
14 | 9944 | 9712 | 9492 | 9283 | 9083 | 8892 | 8709 | 8533 | 8364 | 8202 | 8045 | 7894 | ||||
15 | 9940 | 9708 | 9488 | 9279 | 9079 | 8888 | 8706 | 8530 | 8361 | 8199 | 8043 | 7891 | ||||
16 | 9936 | 9705 | 9485 | 9276 | 9076 | 8885 | 8703 | 8527 | 8359 | 8196 | 8040 | 7889 | ||||
17 | 9932 | 9701 | 9481 | 9272 | 9073 | 8882 | 8700 | 8524 | 8356 | 8194 | 8037 | 7887 | ||||
18 | 9928 | 9697 | 9478 | 9269 | 9070 | 8879 | 8697 | 8522 | 8353 | 8191 | 8035 | 7884 | ||||
19 | 9924 | 9693 | 9474 | 9266 | 9066 | 8876 | 8694 | 8519 | 8350 | 8188 | 8032 | 7882 | ||||
20 | 9920 | 9690 | 9471 | 9262 | 9063 | 8873 | 8691 | 8516 | 8348 | 8186 | 8030 | 7879 | ||||
21 | 9916 | 9686 | 9467 | 9259 | 9060 | 8870 | 8688 | 8513 | 8345 | 8183 | 8027 | 7877 | ||||
22 | 9912 | 9682 | 9464 | 9255 | 9057 | 8867 | 8685 | 8510 | 8342 | 8181 | 8025 | 7874 | ||||
23 | 9908 | 9678 | 9460 | 9252 | 9053 | 8864 | 8682 | 8507 | 8339 | 8178 | 8022 | 7872 | ||||
24 | 9905 | 9675 | 9456 | 9249 | 9050 | 8861 | 8679 | 8504 | 8337 | 8175 | 8020 | 7869 | ||||
25 | 9901 | 9671 | 9453 | 9245 | 9047 | 8857 | 8676 | 8502 | 8334 | 8173 | 8017 | 7867 | ||||
26 | 9897 | 9667 | 9449 | 9242 | 9044 | 8854 | 8673 | 8499 | 8331 | 8170 | 8014 | 7864 | ||||
27 | 9893 | 9664 | 9446 | 9238 | 9041 | 8851 | 8670 | 8496 | 8238 | 8167 | 8012 | 7862 | ||||
28 | 9889 | 9660 | 9442 | 9235 | 9037 | 8848 | 8667 | 8493 | 8326 | 8165 | 8009 | 7859 | ||||
29 | 9885 | 9656 | 9439 | 9232 | 9034 | 8845 | 8664 | 8490 | 8323 | 8162 | 8007 | 7857 | ||||
30 | 9881 | 9652 | 9435 | 9228 | 9031 | 8842 | 8661 | 8487 | 8320 | 8159 | 8004 | 7855 | ||||
31 | 9877 | 9649 | 9432 | 9225 | 9028 | 8839 | 8658 | 8484 | 8318 | 8157 | 8002 | 7852 | ||||
32 | 9873 | 9645 | 9428 | 9222 | 9024 | 8836 | 8655 | 8482 | 8315 | 8154 | 7999 | 7850 | ||||
33 | 9869 | 9641 | 9425 | 9218 | 9021 | 8833 | 8652 | 8479 | 8312 | 8152 | 7997 | 7847 | ||||
34 | 9865 | 9638 | 9421 | 9215 | 9018 | 8830 | 8649 | 8476 | 8309 | 8149 | 7994 | 7845 | ||||
35 | 9861 | 9634 | 9418 | 9212 | 9015 | 8827 | 8646 | 8473 | 8307 | 8146 | 7992 | 7842 | ||||
36 | 9858 | 9630 | 9414 | 9208 | 9012 | 8824 | 8643 | 8470 | 8304 | 8144 | 7989 | 7840 | ||||
37 | 9854 | 9626 | 9411 | 9205 | 9008 | 8821 | 8640 | 8467 | 8301 | 8141 | 7987 | 7837 | ||||
38 | 9850 | 9623 | 9407 | 9201 | 9005 | 8817 | 8637 | 8465 | 8298 | 8138 | 7984 | 7835 | ||||
39 | 9846 | 9619 | 9404 | 9198 | 9002 | 8814 | 8635 | 8462 | 8296 | 8136 | 7981 | 7832 | ||||
40 | 9842 | 9615 | 9400 | 9195 | 8999 | 8811 | 8632 | 8459 | 8293 | 8133 | 7979 | 7830 | ||||
41 | 9838 | 9612 | 9397 | 9191 | 8996 | 8808 | 8629 | 8456 | 8290 | 8131 | 7976 | 7828 | ||||
42 | 9834 | 9608 | 9393 | 9188 | 8992 | 8805 | 8626 | 8453 | 8288 | 8128 | 7974 | 7825 | ||||
43 | 9830 | 9604 | 9390 | 9185 | 8989 | 8802 | 8623 | 8451 | 8285 | 8125 | 7971 | 7823 | ||||
44 | 9827 | 9601 | 9386 | 9181 | 8986 | 8799 | 8620 | 8448 | 8282 | 8123 | 7969 | 7820 | ||||
45 | 9823 | 9597 | 9383 | 9178 | 8983 | 8796 | 8617 | 8445 | 8279 | 8120 | 7966 | 7818 | ||||
46 | 9819 | 9593 | 9379 | 9175 | 8980 | 8793 | 8614 | 8442 | 8277 | 8117 | 7964 | 7815 | ||||
47 | 9815 | 9590 | 9376 | 9172 | 8977 | 8790 | 8611 | 8439 | 8274 | 8115 | 7961 | 7813 | ||||
48 | 9811 | 9586 | 9372 | 9168 | 8973 | 8787 | 8608 | 8437 | 8271 | 8112 | 7959 | 7811 | ||||
49 | 9807 | 9582 | 9369 | 9165 | 8970 | 8784 | 8605 | 8434 | 8269 | 8110 | 7956 | 7808 | ||||
50 | 9803 | 9579 | 9365 | 9162 | 8967 | 8781 | 8602 | 8431 | 8266 | 8107 | 7954 | 7806 | ||||
51 | 9800 | 9575 | 9362 | 9158 | 8964 | 8778 | 8599 | 8428 | 8263 | 8104 | 7951 | 7803 | ||||
52 | 9796 | 9571 | 9358 | 9155 | 8961 | 8775 | 8597 | 8425 | 8261 | 8102 | 7949 | 7801 | ||||
53 | 9792 | 9568 | 9355 | 9152 | 8958 | 8772 | 8594 | 8423 | 8258 | 8099 | 7946 | 7798 | ||||
54 | 9788 | 9564 | 9351 | 9148 | 8954 | 8769 | 8591 | 8420 | 8255 | 8097 | 7944 | 7796 | ||||
55 | 9784 | 9561 | 9348 | 9145 | 8951 | 8766 | 8588 | 8417 | 8253 | 8094 | 7941 | 7794 | ||||
56 | 9780 | 9557 | 9344 | 9142 | 8948 | 8763 | 8585 | 8414 | 8250 | 8091 | 7939 | 7791 | ||||
57 | 9777 | 9553 | 9341 | 9138 | 8945 | 8760 | 8582 | 8411 | 8247 | 8089 | 7936 | 7789 | ||||
58 | 9773 | 9550 | 9337 | 9135 | 8942 | 8757 | 8579 | 8409 | 8244 | 8086 | 7934 | 7786 | ||||
59 | 9769 | 9546 | 9334 | 9132 | 8939 | 8754 | 8576 | 8406 | 8242 | 8084 | 7931 | 7784 | ||||
60 | 9765 | 9542 | 9331 | 9128 | 8935 | 8751 | 8573 | 8403 | 8239 | 8081 | 7929 | 7782 |
[page] 43
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
0° 30′ | 0° 31′ | 0° 32′ | 0° 33′ | 0° 34′ | 0° 35′ | 0° 36′ | 0° 37′ | 0° 38′ | 0° 39′ | 0° 40′ | 0° 41′ | |||||
0 | 7782 | 7639 | 7501 | 7368 | 7238 | 7112 | 6990 | 6871 | 6755 | 6642 | 6532 | 6425 | ||||
1 | 7779 | 7637 | 7499 | 7365 | 7236 | 7110 | 6988 | 6869 | 6753 | 6640 | 6530 | 6423 | ||||
2 | 7777 | 7634 | 7497 | 7363 | 7234 | 7108 | 6986 | 6867 | 6751 | 6638 | 6529 | 6421 | ||||
3 | 7774 | 7632 | 7494 | 7361 | 7232 | 7106 | 6984 | 6865 | 6749 | 6637 | 6527 | 6420 | ||||
4 | 7772 | 7630 | 7492 | 7359 | 7229 | 7104 | 6982 | 6863 | 6747 | 6635 | 6525 | 6418 | ||||
5 | 7769 | 7627 | 7490 | 7357 | 7227 | 7102 | 6980 | 6861 | 6745 | 6633 | 6523 | 6416 | ||||
6 | 7767 | 7625 | 7488 | 7354 | 7225 | 7100 | 6978 | 6859 | 6743 | 6631 | 6521 | 6414 | ||||
7 | 7765 | 7623 | 7485 | 7352 | 7223 | 7098 | 6976 | 6857 | 6742 | 6629 | 6519 | 6413 | ||||
8 | 7762 | 7620 | 7483 | 7350 | 7221 | 7096 | 6974 | 6855 | 6740 | 6627 | 6518 | 6411 | ||||
9 | 7760 | 7618 | 7481 | 7348 | 7219 | 7093 | 6972 | 6853 | 6738 | 6625 | 6516 | 6409 | ||||
10 | 7757 | 7616 | 7479 | 7346 | 7217 | 7091 | 6970 | 6851 | 6736 | 6624 | 6514 | 6407 | ||||
11 | 7755 | 7613 | 7476 | 7344 | 7215 | 7089 | 6968 | 6849 | 6734 | 6622 | 6512 | 6406 | ||||
12 | 7753 | 7611 | 7474 | 7341 | 7212 | 7087 | 6966 | 6847 | 6732 | 6620 | 6510 | 6404 | ||||
13 | 7750 | 7609 | 7472 | 7339 | 7210 | 7085 | 6964 | 6845 | 6730 | 6618 | 6509 | 6402 | ||||
14 | 7748 | 7607 | 7470 | 7337 | 7208 | 7083 | 6962 | 6843 | 6728 | 6616 | 6507 | 6400 | ||||
15 | 7745 | 7604 | 7467 | 7335 | 7206 | 7081 | 6960 | 6841 | 6726 | 6614 | 6505 | 6398 | ||||
16 | 7743 | 7602 | 7465 | 7333 | 7204 | 7079 | 6958 | 6840 | 6725 | 6612 | 6503 | 6397 | ||||
17 | 7741 | 7600 | 7463 | 7330 | 7202 | 7077 | 6956 | 6838 | 6723 | 6611 | 6501 | 6395 | ||||
18 | 7738 | 7597 | 7461 | 7328 | 7200 | 7075 | 6954 | 6836 | 6721 | 6609 | 6500 | 6393 | ||||
19 | 7736 | 7595 | 7458 | 7326 | 7198 | 7073 | 6952 | 6834 | 6719 | 6607 | 6498 | 6391 | ||||
20 | 7734 | 7593 | 7456 | 7324 | 7196 | 7071 | 6950 | 6832 | 6717 | 6605 | 6496 | 6390 | ||||
21 | 7731 | 7590 | 7454 | 7322 | 7193 | 7069 | 6848 | 6830 | 6715 | 6603 | 6494 | 6388 | ||||
22 | 7729 | 7588 | 7452 | 7320 | 7191 | 7067 | 6946 | 6828 | 6713 | 6601 | 6492 | 6386 | ||||
23 | 7726 | 7586 | 7450 | 7317 | 7189 | 7065 | 6944 | 6826 | 6711 | 6600 | 6491 | 6384 | ||||
24 | 7724 | 7583 | 7447 | 7315 | 7187 | 7063 | 6942 | 6824 | 6709 | 6598 | 6489 | 6383 | ||||
25 | 7722 | 7581 | 7445 | 7313 | 7185 | 7061 | 6940 | 6822 | 6708 | 6596 | 6487 | 6381 | ||||
26 | 7719 | 7579 | 7443 | 7311 | 7183 | 7059 | 6938 | 6820 | 6706 | 6594 | 6485 | 6379 | ||||
27 | 7717 | 7577 | 7441 | 7309 | 7181 | 7057 | 6936 | 6818 | 6704 | 6592 | 6484 | 6377 | ||||
28 | 7714 | 7574 | 7438 | 7307 | 7179 | 7055 | 6934 | 6816 | 6702 | 6590 | 6482 | 6376 | ||||
29 | 7712 | 7572 | 7436 | 7304 | 7177 | 7052 | 6932 | 6814 | 6700 | 6589 | 6480 | 6374 | ||||
30 | 7710 | 7570 | 7434 | 7302 | 7175 | 7050 | 6930 | 6812 | 6698 | 6587 | 6478 | 6372 | ||||
31 | 7707 | 7567 | 7432 | 7300 | 7172 | 7048 | 6928 | 6810 | 6696 | 6585 | 6476 | 6371 | ||||
32 | 7705 | 7565 | 7429 | 7298 | 7170 | 7046 | 6926 | 6809 | 6694 | 6583 | 6475 | 6369 | ||||
33 | 7703 | 7563 | 7427 | 7296 | 7168 | 7044 | 6924 | 6807 | 6692 | 6581 | 6473 | 6367 | ||||
34 | 7700 | 7560 | 7425 | 7294 | 7166 | 7042 | 6922 | 6805 | 6691 | 6579 | 6471 | 6365 | ||||
35 | 7698 | 7558 | 7423 | 7291 | 7164 | 7040 | 6920 | 6803 | 6689 | 6578 | 6469 | 6364 | ||||
36 | 7696 | 7556 | 7421 | 7289 | 7162 | 7038 | 6918 | 6801 | 6687 | 6576 | 6467 | 6362 | ||||
37 | 7693 | 7554 | 7418 | 7287 | 7160 | 7036 | 6916 | 6799 | 6685 | 6574 | 6466 | 6360 | ||||
38 | 7691 | 7551 | 7416 | 7285 | 7158 | 7034 | 6914 | 6797 | 6683 | 6572 | 6464 | 6358 | ||||
39 | 7688 | 7549 | 7414 | 7283 | 7156 | 7032 | 6912 | 6795 | 6681 | 6570 | 6462 | 6357 | ||||
40 | 7686 | 7547 | 7412 | 7281 | 7154 | 7030 | 6910 | 6793 | 6679 | 6568 | 6460 | 6355 | ||||
41 | 7864 | 7544 | 7409 | 7279 | 7152 | 7028 | 6908 | 6791 | 6677 | 6567 | 5459 | 6353 | ||||
42 | 7681 | 7542 | 7407 | 7276 | 7149 | 7026 | 6906 | 6789 | 6676 | 6565 | 6457 | 6351 | ||||
43 | 7679 | 7540 | 7405 | 7274 | 7147 | 7024 | 6904 | 6787 | 6674 | 6563 | 6455 | 6350 | ||||
44 | 7677 | 7538 | 7403 | 7272 | 7145 | 7022 | 6902 | 6785 | 6672 | 6561 | 6453 | 6348 | ||||
45 | 7674 | 7535 | 7401 | 7270 | 7143 | 7020 | 6900 | 6784 | 6670 | 6559 | 6451 | 6346 | ||||
46 | 7672 | 7533 | 7398 | 7268 | 7141 | 7018 | 6898 | 6782 | 6668 | 6558 | 6450 | 6344 | ||||
47 | 7670 | 7531 | 7396 | 7266 | 7139 | 7016 | 6896 | 6780 | 6666 | 6556 | 6448 | 6343 | ||||
48 | 7667 | 7528 | 7394 | 7264 | 7137 | 7014 | 6894 | 6778 | 6664 | 6554 | 6446 | 6341 | ||||
49 | 7665 | 7526 | 7392 | 7261 | 7135 | 7012 | 6892 | 6779 | 6663 | 6552 | 6444 | 6339 | ||||
50 | 7663 | 7524 | 7390 | 7259 | 7133 | 7010 | 6890 | 6774 | 6661 | 6550 | 6443 | 6338 | ||||
51 | 7660 | 7522 | 7387 | 7257 | 7131 | 7008 | 6888 | 6772 | 6659 | 6548 | 6441 | 6336 | ||||
52 | 7658 | 7519 | 7385 | 7255 | 7129 | 7006 | 6886 | 6770 | 6657 | 6547 | 6439 | 6334 | ||||
53 | 7655 | 7517 | 7383 | 7253 | 7127 | 7004 | 6884 | 6768 | 6655 | 6545 | 6437 | 6332 | ||||
54 | 7653 | 7515 | 7381 | 7251 | 7124 | 7002 | 6882 | 6766 | 6653 | 6543 | 6435 | 6331 | ||||
55 | 7651 | 7513 | 7379 | 7249 | 7122 | 7000 | 6881 | 6764 | 6651 | 6541 | 6434 | 6329 | ||||
56 | 7648 | 7510 | 7376 | 7246 | 7120 | 6998 | 6879 | 6763 | 6650 | 6539 | 6432 | 6327 | ||||
57 | 7646 | 7508 | 7374 | 7244 | 7118 | 6996 | 6877 | 6761 | 6648 | 6538 | 6430 | 6325 | ||||
58 | 7644 | 7506 | 7372 | 7242 | 7116 | 6994 | 6875 | 6759 | 6646 | 6536 | 6428 | 6324 | ||||
59 | 7641 | 7503 | 7370 | 7240 | 7114 | 6992 | 6873 | 6757 | 6644 | 6534 | 6427 | 6322 | ||||
60 | 7639 | 7501 | 7368 | 7238 | 7112 | 6990 | 6871 | 6755 | 6642 | 6532 | 6425 | 6320 |
F 2
[page] 44
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
0° 42′ | 0° 43′ | 0° 44′ | 0° 45′ | 0° 46′ | 0° 47′ | 0° 48′ | 0° 49′ | 0° 50′ | 0° 51′ | 0° 52′ | 0° 53′ | |||||
0 | 6320 | 6218 | 6118 | 6021 | 5925 | 5832 | 5740 | 5651 | 5563 | 5477 | 5393 | 5310 | ||||
1 | 6319 | 6216 | 6117 | 6019 | 5924 | 5830 | 5739 | 5649 | 5562 | 5476 | 5391 | 5309 | ||||
2 | 6317 | 6215 | 9115 | 6017 | 5922 | 5829 | 5737 | 5648 | 5560 | 5474 | 5390 | 5307 | ||||
3 | 6315 | 9213 | 6113 | 6016 | 5920 | 5827 | 5736 | 5646 | 5559 | 5473 | 5389 | 5306 | ||||
4 | 6313 | 6211 | 6112 | 6014 | 5919 | 5826 | 5734 | 5645 | 5557 | 5471 | 5387 | 5305 | ||||
5 | 6312 | 6210 | 6110 | 6013 | 5917 | 5824 | 5733 | 5643 | 5556 | 5470 | 5386 | 5303 | ||||
6 | 6310 | 6208 | 6108 | 6011 | 5916 | 5823 | 5731 | 5642 | 5554 | 5469 | 5384 | 5302 | ||||
7 | 6308 | 6206 | 6107 | 6009 | 5914 | 5821 | 5730 | 5640 | 5553 | 5467 | 5383 | 5300 | ||||
8 | 6306 | 6205 | 6105 | 6008 | 5913 | 5819 | 5728 | 5639 | 5551 | 5466 | 5382 | 5299 | ||||
9 | 6305 | 6203 | 6103 | 6006 | 5911 | 5818 | 5727 | 5637 | 5550 | 5464 | 5380 | 5298 | ||||
10 | 6303 | 6201 | 6102 | 6005 | 5909 | 5816 | 5725 | 5636 | 5549 | 5463 | 5379 | 5296 | ||||
11 | 6301 | 6200 | 6100 | 6003 | 5908 | 5815 | 5724 | 5635 | 5547 | 5461 | 5377 | 5295 | ||||
12 | 6300 | 6198 | 6099 | 6001 | 5906 | 5813 | 5722 | 5633 | 5546 | 5460 | 5376 | 5293 | ||||
13 | 6298 | 6196 | 6097 | 6000 | 5905 | 5812 | 5721 | 5632 | 5544 | 5459 | 5375 | 5292 | ||||
14 | 6296 | 6195 | 6095 | 5998 | 5903 | 5810 | 5719 | 5630 | 5543 | 5457 | 5373 | 5291 | ||||
15 | 6294 | 6193 | 6094 | 5997 | 5902 | 5809 | 5718 | 5629 | 5541 | 5456 | 5372 | 5290 | ||||
16 | 6293 | 6191 | 6092 | 5995 | 5900 | 5807 | 5716 | 5627 | 5540 | 5454 | 5370 | 5288 | ||||
17 | 6291 | 6190 | 6090 | 1993 | 5898 | 5806 | 5715 | 5626 | 5538 | 5453 | 5369 | 5287 | ||||
18 | 6289 | 6188 | 6089 | 5992 | 5897 | 5804 | 5713 | 5624 | 5537 | 5452 | 5368 | 5285 | ||||
19 | 6288 | 6186 | 6087 | 5990 | 5895 | 5803 | 5712 | 5623 | 5530 | 5450 | 5300 | 5284 | ||||
20 | 6286 | 6185 | 6085 | 5989 | 5894 | 5801 | 5710 | 5621 | 5534 | 5449 | 5365 | 5283 | ||||
21 | 6284 | 6163 | 6084 | 5987 | 5891 | 5800 | 5709 | 5620 | 5533 | 5447 | 5364 | 5281 | ||||
22 | 6282 | 6181 | 6082 | 5985 | 5891 | 5798 | 5707 | 5618 | 5531 | 5446 | 5362 | 5280 | ||||
23 | 6281 | 6179 | 6081 | 5984 | 5889 | 5796 | 5706 | 5617 | 5530 | 5445 | 5361 | 5279 | ||||
24 | 6279 | 6178 | 6078 | 5982 | 5888 | 5795 | 5704 | 5615 | 5528 | 5443 | 5359 | 5277 | ||||
25 | 6277 | 6176 | 6077 | 5981 | 5886 | 5793 | 5703 | 5614 | 5527 | 5442 | 5358 | 5276 | ||||
26 | 6276 | 6174 | 6076 | 5979 | 5884 | 5792 | 5701 | 5613 | 5526 | 5440 | 5357 | 5275 | ||||
27 | 6274 | 6173 | 6074 | 5977 | 5883 | 5790 | 5700 | 5611 | 5524 | 5439 | 5355 | 5273 | ||||
28 | 6272 | 6171 | 6072 | 5976 | 5881 | 5789 | 5698 | 5610 | 5523 | 5437 | 5354 | 5272 | ||||
29 | 6271 | 6169 | 6071 | 5974 | 5880 | 5787 | 5697 | 5608 | 5521 | 5436 | 5353 | 5271 | ||||
30 | 6269 | 6168 | 6069 | 5973 | 5878 | 5786 | 5695 | 5607 | 5520 | 5435 | 5351 | 5269 | ||||
31 | 6267 | 6166 | 6067 | 5971 | 5877 | 5784 | 5694 | 5605 | 5518 | 5433 | 5350 | 5268 | ||||
32 | 6265 | 6165 | 6066 | 5969 | 5875 | 5783 | 5692 | 5604 | 5517 | 5432 | 5348 | 5266 | ||||
33 | 6264 | 6163 | 6064 | 5968 | 5874 | 5781 | 5691 | 5602 | 5516 | 5430 | 5347 | 5265 | ||||
34 | 6262 | 6161 | 6063 | 5966 | 5872 | 5780 | 5689 | 5601 | 5514 | 5429 | 5346 | 5264 | ||||
35 | 6260 | 6160 | 6061 | 5965 | 5870 | 5778 | 5688 | 5599 | 5513 | 5428 | 5344 | 5262 | ||||
36 | 6259 | 6158 | 6059 | 5963 | 5869 | 5777 | 5686 | 5598 | 5511 | 5426 | 5343 | 5261 | ||||
37 | 6257 | 6156 | 6058 | 5961 | 5867 | 5775 | 5685 | 5596 | 5510 | 5425 | 5341 | 5260 | ||||
38 | 6255 | 6155 | 6056 | 5960 | 5866 | 5774 | 5683 | 5595 | 5508 | 5423 | 5340 | 5258 | ||||
39 | 6254 | 6153 | 6055 | 5958 | 5864 | 5772 | 5682 | 5594 | 5507 | 5422 | 5339 | 5257 | ||||
40 | 6252 | 6151 | 6053 | 5957 | 5863 | 5771 | 5680 | 5592 | 5506 | 5421 | 5337 | 5256 | ||||
41 | 6250 | 6150 | 6051 | 5955 | 5861 | 5769 | 5679 | 5591 | 5504 | 5419 | 5536 | 5254 | ||||
42 | 6248 | 6148 | 6050 | 5954 | 5860 | 5768 | 5677 | 5589 | 5503 | 5418 | 5335 | 5253 | ||||
43 | 6247 | 6146 | 6048 | 5952 | 5858 | 5766 | 5676 | 5588 | 5501 | 5416 | 5333 | 5252 | ||||
44 | 6245 | 6145 | 6046 | 5950 | 5856 | 5765 | 5674 | 5586 | 5500 | 5415 | 5332 | 5250 | ||||
45 | 6243 | 6143 | 6045 | 5949 | 5855 | 5763 | 5673 | 5585 | 5498 | 5414 | 5331 | 5249 | ||||
46 | 6242 | 6141 | 6043 | 5947 | 5853 | 5761 | 5671 | 5583 | 5497 | 5412 | 5329 | 5248 | ||||
47 | 6240 | 6140 | 6042 | 5946 | 5852 | 5760 | 5670 | 5582 | 5496 | 5411 | 5328 | 5246 | ||||
48 | 6238 | 6138 | 6040 | 5944 | 5850 | 5758 | 5669 | 5580 | 5494 | 5409 | 5326 | 5245 | ||||
49 | 6237 | 6136 | 6038 | 5942 | 5849 | 5757 | 5667 | 5579 | 5493 | 5408 | 5325 | 5244 | ||||
50 | 6235 | 6135 | 6037 | 5941 | 5847 | 5755 | 5666 | 5578 | 5491 | 5407 | 5324 | 5242 | ||||
51 | 6233 | 6133 | 6035 | 5939 | 5846 | 5754 | 5664 | 5576 | 5490 | 5405 | 5322 | 5241 | ||||
52 | 6232 | 6131 | 6033 | 5938 | 5844 | 5752 | 5663 | 5575 | 5488 | 5404 | 5321 | 5240 | ||||
53 | 6230 | 6130 | 6032 | 5936 | 5843 | 5751 | 5661 | 5573 | 5487 | 5402 | 5320 | 5238 | ||||
54 | 5228 | 6128 | 6030 | 5935 | 5841 | 5749 | 5660 | 5572 | 5486 | 5401 | 5318 | 5237 | ||||
55 | 6226 | 6126 | 6029 | 5933 | 5839 | 5748 | 5658 | 5570 | 5484 | 5400 | 5317 | 5235 | ||||
56 | 6225 | 6125 | 6027 | 5931 | 5838 | 5746 | 5657 | 5569 | 5483 | 5398 | 5315 | 5234 | ||||
57 | 6223 | 6123 | 6025 | 5930 | 5836 | 5745 | 5655 | 5567 | 5481 | 5397 | 5314 | 5233 | ||||
58 | 6221 | 6121 | 6024 | 5928 | 5835 | 5743 | 5654 | 5566 | 5480 | 5395 | 5313 | 5231 | ||||
59 | 6220 | 6120 | 6022 | 5927 | 5833 | 5742 | 5652 | 5564 | 5478 | 5394 | 5311 | 5230 | ||||
60 | 6218 | 6118 | 6021 | 5925 | 5832 | 5740 | 5651 | 5563 | 5477 | 5393 | 5310 | 5229 |
[page] 45
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
0° 54′ | 0° 55′ | 0° 56′ | 0° 57′ | 0° 58′ | 0° 59′ | 1° 0′ | 1° 1′ | 1° 2′ | 1° 3′ | 1° 4′ | 1° 5′ | |||||
0 | 5229 | 5149 | 5071 | 4994 | 4918 | 4844 | 4771 | 4699 | 4629 | 4559 | 4491 | 4424 | ||||
1 | 5227 | 5148 | 5070 | 4993 | 4917 | 4843 | 4770 | 4698 | 4628 | 4558 | 4490 | 4422 | ||||
2 | 5226 | 5146 | 5068 | 4991 | 4916 | 4842 | 4769 | 4697 | 4626 | 4557 | 4489 | 4421 | ||||
3 | 5225 | 5145 | 5067 | 4990 | 4915 | 4841 | 4768 | 4696 | 4625 | 4556 | 4488 | 4420 | ||||
4 | 5223 | 5144 | 5066 | 4989 | 4913 | 4839 | 4766 | 4695 | 4624 | 4555 | 4486 | 4419 | ||||
5 | 5222 | 5143 | 5064 | 4988 | 4912 | 4838 | 4765 | 4693 | 4623 | 4554 | 4485 | 4418 | ||||
6 | 5221 | 5141 | 5063 | 4986 | 4911 | 4837 | 4764 | 4692 | 4622 | 4552 | 4484 | 4417 | ||||
7 | 5219 | 5140 | 5062 | 4985 | 4910 | 4836 | 4763 | 4691 | 4621 | 4551 | 4483 | 4416 | ||||
8 | 5218 | 5139 | 5061 | 4984 | 4908 | 4834 | 4762 | 4690 | 4619 | 4550 | 4482 | 4415 | ||||
9 | 5217 | 5137 | 5059 | 4983 | 4907 | 4833 | 4760 | 4689 | 4618 | 4549 | 4481 | 4414 | ||||
10 | 5215 | 5136 | 5058 | 4981 | 4906 | 4832 | 4759 | 4866 | 4617 | 4548 | 4480 | 4412 | ||||
11 | 5214 | 5135 | 5057 | 4980 | 4905 | 4831 | 4758 | 4686 | 4616 | 4547 | 4479 | 4411 | ||||
12 | 5213 | 5133 | 5055 | 4979 | 4903 | 4830 | 4757 | 4685 | 4615 | 4546 | 4477 | 4410 | ||||
13 | 5211 | 5132 | 5054 | 4977 | 4902 | 4828 | 4756 | 4684 | 4614 | 4544 | 4476 | 4409 | ||||
14 | 5210 | 5131 | 5053 | 4976 | 4901 | 4827 | 4754 | 4683 | 4612 | 4543 | 4475 | 4408 | ||||
15 | 5209 | 5129 | 5051 | 4975 | 4900 | 4826 | 4753 | 4682 | 4611 | 4542 | 4474 | 4407 | ||||
16 | 5207 | 5128 | 5050 | 4974 | 4899 | 4825 | 4752 | 4680 | 4610 | 4541 | 4473 | 4406 | ||||
17 | 5206 | 5127 | 5049 | 4972 | 4897 | 4823 | 4751 | 4679 | 4609 | 4540 | 4472 | 4405 | ||||
18 | 5205 | 5125 | 5048 | 4971 | 4896 | 4822 | 4750 | 4678 | 4608 | 4539 | 4471 | 4404 | ||||
19 | 5203 | 5124 | 5046 | 4970 | 4895 | 4821 | 4948 | 4677 | 4607 | 4538 | 4469 | 4402 | ||||
20 | 5202 | 5123 | 5045 | 4969 | 4894 | 4820 | 4747 | 4676 | 4606 | 4536 | 4468 | 4401 | ||||
21 | 5201 | 5122 | 5044 | 4967 | 4892 | 4819 | 4746 | 4675 | 4604 | 4535 | 4467 | 4400 | ||||
22 | 5199 | 5120 | 5043 | 4966 | 4891 | 4817 | 4745 | 4673 | 4603 | 4534 | 4466 | 4399 | ||||
23 | 5198 | 5119 | 5041 | 4965 | 4890 | 4816 | 4744 | 4672 | 4602 | 4533 | 4465 | 4398 | ||||
24 | 5197 | 5118 | 5040 | 4964 | 4889 | 4815 | 4742 | 4671 | 4601 | 4532 | 4464 | 4397 | ||||
25 | 5195 | 5116 | 5039 | 4962 | 4887 | 4814 | 4741 | 4670 | 4600 | 4531 | 4463 | 4396 | ||||
26 | 5194 | 5115 | 5037 | 4961 | 4886 | 4812 | 4740 | 4669 | 4599 | 4530 | 4462 | 4395 | ||||
27 | 5193 | 5114 | 5036 | 4960 | 4885 | 4811 | 4739 | 4668 | 4597 | 4528 | 4460 | 4394 | ||||
28 | 5191 | 5112 | 5035 | 4959 | 4884 | 4810 | 4738 | 4666 | 4596 | 4527 | 4459 | 4393 | ||||
29 | 5190 | 5111 | 5034 | 4957 | 4882 | 4809 | 4736 | 4665 | 4695 | 4526 | 4458 | 4391 | ||||
30 | 5189 | 5110 | 5032 | 4956 | 4881 | 4808 | 4735 | 4664 | 4594 | 4525 | 4457 | 4390 | ||||
31 | 5187 | 5108 | 5031 | 4955 | 4880 | 4806 | 4734 | 4663 | 4593 | 4524 | 4456 | 4389 | ||||
32 | 5186 | 5107 | 5030 | 4954 | 4879 | 4805 | 4733 | 4662 | 4592 | 4523 | 4455 | 4388 | ||||
33 | 5185 | 5106 | 5028 | 4952 | 4877 | 4804 | 4732 | 4660 | 4590 | 4522 | 4454 | 4387 | ||||
34 | 5183 | 5105 | 5027 | 4951 | 4876 | 4803 | 4730 | 4659 | 4589 | 4520 | 4453 | 4386 | ||||
35 | 5182 | 5103 | 5026 | 4950 | 4875 | 4801 | 4729 | 4658 | 4588 | 4519 | 4452 | 4385 | ||||
36 | 5181 | 5102 | 5025 | 4949 | 4874 | 4800 | 4728 | 4657 | 4587 | 4518 | 4450 | 4384 | ||||
37 | 5179 | 5101 | 5023 | 4947 | 4873 | 4799 | 4727 | 4656 | 4586 | 4517 | 4449 | 4383 | ||||
38 | 5178 | 5099 | 5022 | 4946 | 4871 | 4798 | 4726 | 4655 | 4585 | 4516 | 4448 | 4381 | ||||
39 | 5177 | 5098 | 5021 | 4945 | 4870 | 4797 | 4724 | 4653 | 4584 | 4515 | 4447 | 4380 | ||||
40 | 5175 | 5097 | 5019 | 4943 | 4869 | 4795 | 4723 | 4652 | 4582 | 4514 | 4446 | 4379 | ||||
41 | 5174 | 5095 | 5018 | 4942 | 4868 | 4794 | 4722 | 4651 | 4581 | 4512 | 4445 | 4378 | ||||
42 | 5173 | 5094 | 5017 | 4941 | 4866 | 4793 | 4721 | 4650 | 4580 | 4511 | 4444 | 4377 | ||||
43 | 5172 | 5093 | 5016 | 4940 | 4865 | 4792 | 4720 | 4649 | 4579 | 4510 | 4443 | 4376 | ||||
44 | 5170 | 5092 | 5014 | 4938 | 4864 | 4791 | 4718 | 4648 | 4578 | 4509 | 4441 | 4375 | ||||
45 | 5169 | 5090 | 5013 | 4937 | 4863 | 4789 | 4717 | 4646 | 4577 | 4508 | 4440 | 4374 | ||||
46 | 5168 | 5089 | 5012 | 4936 | 4861 | 4788 | 4716 | 4645 | 4575 | 4507 | 4439 | 4373 | ||||
47 | 5166 | 5088 | 5011 | 4935 | 4860 | 4787 | 4715 | 4644 | 4574 | 4506 | 4438 | 4372 | ||||
48 | 5165 | 5086 | 5009 | 4933 | 4859 | 4786 | 4714 | 4643 | 4573 | 4505 | 4437 | 4370 | ||||
49 | 5164 | 5085 | 5008 | 4632 | 4858 | 4784 | 4712 | 4642 | 4572 | 4503 | 4436 | 4369 | ||||
50 | 5162 | 5084 | 5007 | 4931 | 4856 | 4783 | 4711 | 4640 | 4571 | 4502 | 4435 | 4368 | ||||
51 | 5161 | 5082 | 5005 | 4930 | 4855 | 4782 | 4710 | 4639 | 4570 | 4501 | 4434 | 4367 | ||||
52 | 5160 | 5081 | 5004 | 4928 | 4854 | 4781 | 4709 | 4638 | 4569 | 4500 | 4433 | 4366 | ||||
53 | 5158 | 5080 | 5003 | 4927 | 4853 | 4780 | 4708 | 4637 | 4567 | 4499 | 4431 | 4365 | ||||
54 | 5157 | 5079 | 5002 | 4926 | 4852 | 4778 | 4707 | 4636 | 4566 | 4498 | 4430 | 4364 | ||||
55 | 5156 | 5077 | 5000 | 4925 | 4850 | 4777 | 4705 | 4635 | 4565 | 4497 | 4429 | 4363 | ||||
56 | 5154 | 5076 | 4999 | 4923 | 4849 | 4776 | 4704 | 4633 | 4564 | 4495 | 4428 | 4362 | ||||
57 | 5153 | 5075 | 4998 | 4922 | 4848 | 4775 | 4703 | 4632 | 4563 | 4494 | 4427 | 4361 | ||||
58 | 5152 | 5073 | 4997 | 4921 | 4847 | 4774 | 4702 | 4631 | 4562 | 4493 | 4426 | 4359 | ||||
59 | 5150 | 5072 | 4995 | 4920 | 4845 | 4772 | 4701 | 4630 | 4560 | 4492 | 4425 | 4358 | ||||
60 | 5149 | 5071 | 4994 | 4918 | 4844 | 4771 | 4699 | 4629 | 4559 | 4491 | 4424 | 4357 |
[page] 46
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
1° 6′ | 1° 7′ | 1° 8′ | 1° 9′ | 1° 10′ | 1° 11′ | 1° 12′ | 1° 13′ | 1° 14′ | 1° 15′ | 1° 16′ | 1° 17′ | |||||
0 | 4357 | 4292 | 4228 | 4164 | 4102 | 4040 | 3979 | 3919 | 3860 | 3802 | 3745 | 3688 | ||||
1 | 4356 | 4291 | 4227 | 4163 | 4101 | 4039 | 3978 | 3919 | 3859 | 3801 | 3744 | 3687 | ||||
2 | 4355 | 4290 | 4226 | 4162 | 4100 | 4038 | 3977 | 3918 | 3858 | 3800 | 3743 | 3686 | ||||
3 | 4354 | 4289 | 4224 | 4161 | 4099 | 4037 | 3776 | 3917 | 3857 | 3799 | 3742 | 3685 | ||||
4 | 4353 | 4288 | 4223 | 4160 | 4098 | 4036 | 3975 | 3916 | 3856 | 3798 | 3741 | 3684 | ||||
5 | 4352 | 4287 | 4222 | 4159 | 4097 | 4035 | 3974 | 3915 | 3856 | 3797 | 3740 | 3683 | ||||
6 | 4351 | 4285 | 4221 | 4158 | 4096 | 4034 | 3973 | 3914 | 3855 | 3796 | 3739 | 3682 | ||||
7 | 4350 | 4284 | 4220 | 4157 | 4095 | 4033 | 3972 | 3913 | 3854 | 3795 | 3738 | 3681 | ||||
8 | 4349 | 4283 | 4219 | 4156 | 4093 | 4032 | 3971 | 3912 | 3853 | 3794 | 3737 | 3680 | ||||
9 | 4347 | 4282 | 4218 | 4155 | 4092 | 4031 | 3970 | 3911 | 3852 | 3793 | 3736 | 3679 | ||||
10 | 4346 | 4281 | 4217 | 4154 | 4091 | 4030 | 3969 | 3910 | 3851 | 3792 | 3735 | 3678 | ||||
11 | 4345 | 4280 | 4216 | 4153 | 4090 | 4029 | 3968 | 3909 | 3850 | 3792 | 3734 | 3677 | ||||
12 | 4344 | 4279 | 4215 | 4152 | 4089 | 4028 | 3967 | 3908 | 3849 | 3791 | 3733 | 3677 | ||||
13 | 4343 | 4278 | 4214 | 4151 | 4088 | 4027 | 3966 | 3907 | 3848 | 3790 | 3732 | 3676 | ||||
14 | 4342 | 4277 | 4213 | 4150 | 4087 | 4026 | 3965 | 3906 | 3847 | 3789 | 3731 | 3675 | ||||
15 | 4341 | 4276 | 4212 | 4149 | 4086 | 4025 | 3964 | 3905 | 3846 | 3788 | 3730 | 3674 | ||||
16 | 4340 | 4275 | 4211 | 4147 | 4085 | 4024 | 3963 | 3904 | 3845 | 3787 | 3729 | 3673 | ||||
17 | 4339 | 4274 | 4210 | 4146 | 4084 | 4023 | 3962 | 3903 | 3844 | 3786 | 3728 | 3672 | ||||
18 | 4338 | 4273 | 4209 | 4145 | 4083 | 4022 | 3961 | 3902 | 3843 | 3785 | 3727 | 3671 | ||||
19 | 4336 | 4271 | 4207 | 4144 | 4082 | 4021 | 3960 | 3901 | 3842 | 3784 | 3727 | 3670 | ||||
20 | 4335 | 4270 | 4206 | 4143 | 4081 | 4020 | 3959 | 3900 | 3841 | 3783 | 3726 | 3669 | ||||
21 | 4334 | 4269 | 4205 | 4142 | 4080 | 4019 | 3958 | 3899 | 3840 | 3782 | 3725 | 3668 | ||||
22 | 4333 | 4268 | 4204 | 4141 | 4079 | 4018 | 3957 | 3898 | 3839 | 3781 | 3724 | 3667 | ||||
23 | 4332 | 4267 | 4203 | 4140 | 4078 | 4017 | 3956 | 3897 | 3838 | 3780 | 3723 | 3666 | ||||
24 | 4331 | 4266 | 4202 | 4139 | 4077 | 4016 | 3955 | 3896 | 3837 | 3779 | 3722 | 3665 | ||||
25 | 4330 | 4265 | 4201 | 4138 | 4076 | 4015 | 3954 | 3895 | 3836 | 3778 | 3721 | 3664 | ||||
26 | 4329 | 4264 | 4200 | 4137 | 4075 | 4014 | 3953 | 3894 | 3835 | 3777 | 3720 | 3663 | ||||
27 | 4328 | 4263 | 4199 | 4136 | 4074 | 4013 | 3952 | 3893 | 3834 | 3776 | 3719 | 3663 | ||||
28 | 4327 | 4262 | 4198 | 4135 | 4073 | 4012 | 3951 | 3892 | 3833 | 3775 | 3718 | 3662 | ||||
29 | 4326 | 4261 | 4197 | 4134 | 4072 | 4011 | 3950 | 3891 | 3832 | 3774 | 3717 | 3661 | ||||
30 | 4325 | 4260 | 4196 | 4133 | 4071 | 4010 | 3949 | 3890 | 3831 | 3773 | 3716 | 3660 | ||||
31 | 4323 | 4259 | 4195 | 4132 | 4070 | 4009 | 3948 | 3889 | 3830 | 3772 | 3715 | 3659 | ||||
32 | 4322 | 4258 | 4194 | 4131 | 4069 | 4008 | 3947 | 3888 | 3829 | 3771 | 3714 | 3658 | ||||
33 | 4321 | 4256 | 4196 | 4130 | 4068 | 4007 | 3946 | 3887 | 3828 | 3770 | 3713 | 3657 | ||||
34 | 4320 | 4255 | 4192 | 4129 | 4067 | 4006 | 3945 | 3886 | 3827 | 3769 | 3712 | 3656 | ||||
35 | 4319 | 4254 | 4191 | 4128 | 4066 | 4005 | 3944 | 3885 | 3826 | 3768 | 3711 | 3655 | ||||
36 | 4318 | 4253 | 4189 | 4127 | 4065 | 4004 | 3943 | 3884 | 3825 | 3768 | 3710 | 3654 | ||||
37 | 4317 | 4252 | 4188 | 4126 | 4064 | 4003 | 3942 | 3883 | 3824 | 3767 | 3709 | 3653 | ||||
38 | 4316 | 4251 | 4187 | 4125 | 4063 | 4002 | 3941 | 3882 | 3823 | 3766 | 3709 | 3652 | ||||
39 | 4315 | 4250 | 4186 | 4124 | 4062 | 4001 | 3940 | 3881 | 3822 | 3765 | 3708 | 3651 | ||||
40 | 4314 | 4249 | 4185 | 4122 | 4061 | 4000 | 3939 | 3880 | 3821 | 3764 | 3707 | 3650 | ||||
41 | 4313 | 4248 | 4184 | 4121 | 4060 | 3999 | 3938 | 3879 | 3820 | 3763 | 3706 | 3649 | ||||
42 | 4311 | 4247 | 4183 | 4120 | 4059 | 3998 | 3837 | 3878 | 3820 | 3762 | 3705 | 3649 | ||||
43 | 4310 | 4246 | 4182 | 4119 | 4058 | 3997 | 3936 | 3877 | 3819 | 3761 | 3704 | 3648 | ||||
44 | 4309 | 4245 | 4181 | 4118 | 4056 | 3996 | 3935 | 3876 | 3818 | 3760 | 3703 | 3647 | ||||
45 | 4308 | 4244 | 4180 | 4117 | 4055 | 3995 | 3934 | 3875 | 3817 | 3759 | 3702 | 3646 | ||||
46 | 4307 | 4243 | 4179 | 4116 | 4054 | 3993 | 3933 | 3874 | 3816 | 3758 | 3701 | 3645 | ||||
47 | 4306 | 4241 | 4178 | 4115 | 4053 | 3992 | 3932 | 3873 | 3815 | 3757 | 3700 | 3644 | ||||
48 | 4305 | 4240 | 4177 | 4114 | 4052 | 3991 | 3931 | 3872 | 3814 | 3756 | 3699 | 3643 | ||||
49 | 4304 | 4239 | 4176 | 4113 | 4051 | 3990 | 3930 | 3871 | 3813 | 3755 | 3698 | 3642 | ||||
50 | 4303 | 4238 | 4175 | 4112 | 4050 | 3989 | 3929 | 3870 | 3812 | 3754 | 3697 | 3641 | ||||
51 | 4302 | 4237 | 4174 | 4111 | 4049 | 3988 | 3928 | 3869 | 3811 | 3753 | 3696 | 3640 | ||||
52 | 4301 | 4236 | 4173 | 4110 | 4048 | 3987 | 3927 | 3868 | 3810 | 3752 | 3695 | 3639 | ||||
53 | 4300 | 4235 | 4172 | 4109 | 4047 | 3986 | 3926 | 3867 | 3809 | 3751 | 3694 | 3638 | ||||
54 | 4298 | 4234 | 4171 | 4108 | 4046 | 3985 | 3925 | 3866 | 3808 | 3750 | 3693 | 3637 | ||||
55 | 4297 | 4233 | 4169 | 4107 | 4045 | 3984 | 3924 | 3865 | 3807 | 3749 | 3693 | 3636 | ||||
56 | 4296 | 4232 | 4168 | 4106 | 4044 | 3983 | 3923 | 3864 | 3806 | 3748 | 3692 | 3635 | ||||
57 | 4295 | 4231 | 4167 | 4105 | 4043 | 3982 | 3922 | 3863 | 3805 | 3747 | 3691 | 3635 | ||||
58 | 4294 | 4230 | 4166 | 4104 | 4042 | 3981 | 3921 | 3862 | 3804 | 3746 | 3690 | 3634 | ||||
59 | 4293 | 4229 | 4165 | 4103 | 4041 | 3980 | 3920 | 3861 | 3803 | 3746 | 3689 | 3633 | ||||
60 | 4292 | 4228 | 4164 | 4102 | 4040 | 3979 | 3919 | 3860 | 3802 | 3745 | 3688 | 3632 |
[page] 47
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
1° 18′ | 1° 19′ | 1° 20′ | 1° 21′ | 1° 22′ | 1° 23′ | 1° 24′ | 1° 25′ | 1° 26′ | 1° 27′ | 1° 28′ | 1° 29′ | |||||
0 | 3632 | 3576 | 3522 | 3468 | 3415 | 3362 | 3310 | 3259 | 3208 | 3158 | 3108 | 3059 | ||||
1 | 3631 | 3576 | 3521 | 3467 | 3414 | 3361 | 3309 | 3258 | 3207 | 3157 | 3107 | 3058 | ||||
2 | 3630 | 3575 | 3520 | 3466 | 3413 | 3360 | 3308 | 3257 | 3206 | 3156 | 3106 | 3057 | ||||
3 | 3629 | 3574 | 3519 | 3465 | 3412 | 3359 | 3307 | 3256 | 3205 | 3155 | 3105 | 3056 | ||||
4 | 3628 | 3573 | 3518 | 3464 | 3411 | 3358 | 3306 | 3255 | 3204 | 3154 | 3105 | 3056 | ||||
5 | 3627 | 3572 | 3517 | 3463 | 3410 | 3358 | 3306 | 3254 | 3204 | 3153 | 3104 | 3055 | ||||
6 | 3626 | 3571 | 3516 | 3463 | 3409 | 3357 | 3305 | 3253 | 3203 | 3153 | 3103 | 3054 | ||||
7 | 3625 | 3570 | 3515 | 3462 | 3408 | 3356 | 3304 | 3253 | 3202 | 3152 | 3102 | 3053 | ||||
8 | 3624 | 3569 | 3514 | 3461 | 3408 | 3355 | 3303 | 3252 | 3201 | 3151 | 3101 | 3052 | ||||
9 | 3623 | 3568 | 3514 | 3460 | 3407 | 3354 | 3302 | 3251 | 3200 | 3150 | 3101 | 3052 | ||||
10 | 3623 | 3567 | 3513 | 3459 | 3406 | 3353 | 3301 | 3250 | 3199 | 3149 | 3100 | 3051 | ||||
11 | 3622 | 3566 | 3512 | 3458 | 3405 | 3352 | 3300 | 3249 | 3198 | 3148 | 3099 | 3050 | ||||
12 | 3621 | 3565 | 3511 | 3457 | 3404 | 3351 | 3300 | 3248 | 3198 | 3148 | 3098 | 3049 | ||||
13 | 3620 | 3565 | 3510 | 3456 | 3403 | 3351 | 3299 | 3247 | 3197 | 3147 | 3097 | 3048 | ||||
14 | 3619 | 3564 | 3509 | 3455 | 3402 | 3350 | 3298 | 3247 | 3196 | 3146 | 3096 | 3047 | ||||
15 | 3618 | 3563 | 3508 | 3454 | 3401 | 3349 | 3297 | 3246 | 3195 | 3145 | 3096 | 3047 | ||||
16 | 3617 | 3562 | 3507 | 3454 | 3400 | 3348 | 3296 | 3245 | 3194 | 3144 | 3095 | 3046 | ||||
17 | 3616 | 3561 | 3506 | 3453 | 3400 | 3347 | 3295 | 3244 | 3193 | 3143 | 3094 | 3045 | ||||
18 | 3615 | 3560 | 3506 | 3452 | 3399 | 3346 | 3294 | 3243 | 3193 | 3143 | 3093 | 3044 | ||||
19 | 3614 | 3559 | 3505 | 3451 | 3398 | 3345 | 3294 | 3242 | 3192 | 3142 | 3092 | 3043 | ||||
20 | 3613 | 3558 | 3404 | 3450 | 3397 | 3345 | 3293 | 3242 | 3191 | 3141 | 3091 | 3043 | ||||
21 | 6312 | 3557 | 3503 | 3449 | 3396 | 3344 | 3292 | 3241 | 3190 | 3140 | 3091 | 3042 | ||||
22 | 3611 | 3556 | 3502 | 3448 | 3395 | 3343 | 3291 | 3240 | 3189 | 3139 | 3090 | 3041 | ||||
23 | 3610 | 3555 | 3501 | 3447 | 3394 | 3342 | 3290 | 3239 | 3188 | 3138 | 3089 | 3040 | ||||
24 | 3610 | 3555 | 3500 | 3446 | 3393 | 3341 | 3289 | 3238 | 3188 | 3138 | 3088 | 3039 | ||||
25 | 3609 | 3554 | 3499 | 3446 | 3393 | 3340 | 3288 | 3237 | 3187 | 3137 | 3087 | 3099 | ||||
26 | 3608 | 3553 | 3498 | 3445 | 3392 | 3339 | 3288 | 3236 | 3186 | 3136 | 3087 | 3038 | ||||
27 | 3607 | 3552 | 3497 | 3444 | 3391 | 3338 | 3287 | 3236 | 3185 | 3135 | 3086 | 3037 | ||||
28 | 3606 | 3551 | 3497 | 3443 | 3390 | 3338 | 3286 | 3235 | 3184 | 3134 | 3085 | 3036 | ||||
29 | 3605 | 3550 | 3496 | 3442 | 3389 | 3337 | 3285 | 3234 | 3183 | 3133 | 3084 | 3035 | ||||
30 | 3604 | 3549 | 3495 | 3441 | 3388 | 3336 | 3284 | 3233 | 3183 | 3133 | 3083 | 3034 | ||||
31 | 3603 | 3548 | 3494 | 3440 | 3387 | 3335 | 3283 | 3232 | 3182 | 3132 | 3082 | 3034 | ||||
32 | 3602 | 3547 | 3493 | 3439 | 3386 | 3334 | 3282 | 3231 | 3181 | 3131 | 3082 | 3033 | ||||
33 | 3601 | 3546 | 3492 | 3438 | 3386 | 3333 | 3282 | 8231 | 3180 | 3130 | 3081 | 3032 | ||||
34 | 3600 | 3545 | 3491 | 3438 | 3385 | 3332 | 3281 | 3230 | 3179 | 3129 | 3080 | 3031 | ||||
35 | 3599 | 3545 | 3490 | 3437 | 3384 | 3332 | 3280 | 3229 | 3178 | 3129 | 3079 | 3030 | ||||
36 | 3598 | 3544 | 3489 | 3436 | 3383 | 3331 | 3279 | 3228 | 3178 | 3128 | 3078 | 3030 | ||||
37 | 3598 | 3543 | 3488 | 3435 | 3382 | 3330 | 3278 | 3227 | 3177 | 3127 | 3078 | 3029 | ||||
38 | 3597 | 3542 | 3488 | 3434 | 3381 | 3329 | 3277 | 3226 | 3176 | 3126 | 3077 | 3028 | ||||
39 | 3596 | 3541 | 3487 | 3433 | 3380 | 3328 | 3276 | 3225 | 3175 | 3125 | 3076 | 3027 | ||||
40 | 3595 | 3540 | 3486 | 3432 | 3379 | 3327 | 3276 | 3225 | 3174 | 3124 | 3075 | 3026 | ||||
41 | 3594 | 3539 | 3485 | 3431 | 3379 | 3326 | 3275 | 3224 | 3173 | 3124 | 3074 | 3026 | ||||
42 | 3593 | 3538 | 3484 | 3431 | 3378 | 3325 | 3274 | 3223 | 3173 | 3123 | 3073 | 3025 | ||||
43 | 3592 | 3537 | 3483 | 3430 | 3377 | 3325 | 3273 | 3222 | 3172 | 3122 | 3073 | 3024 | ||||
44 | 3591 | 3536 | 3482 | 3429 | 3376 | 3324 | 3272 | 3221 | 3171 | 3121 | 3072 | 3023 | ||||
45 | 3590 | 3535 | 3481 | 3428 | 3375 | 3323 | 3271 | 3220 | 3170 | 3120 | 3071 | 3022 | ||||
46 | 3589 | 3535 | 3480 | 3427 | 3374 | 3322 | 3270 | 3220 | 3169 | 3119 | 3070 | 3022 | ||||
47 | 3588 | 3534 | 3480 | 3426 | 3373 | 3321 | 3270 | 3219 | 3168 | 3119 | 3069 | 3021 | ||||
48 | 3587 | 3533 | 3479 | 3425 | 3372 | 3320 | 3269 | 3218 | 3168 | 3118 | 3069 | 3020 | ||||
49 | 3587 | 3532 | 3478 | 3424 | 3372 | 3319 | 3268 | 3217 | 3167 | 3117 | 3068 | 3019 | ||||
50 | 3586 | 3531 | 3477 | 3423 | 3371 | 3319 | 3267 | 3216 | 3166 | 3116 | 3067 | 3018 | ||||
51 | 3585 | 3530 | 3476 | 3423 | 3370 | 3318 | 3266 | 3215 | 3165 | 3115 | 3066 | 3018 | ||||
52 | 3584 | 3529 | 3475 | 3422 | 3369 | 3317 | 3265 | 3214 | 3164 | 3114 | 3065 | 3017 | ||||
53 | 3583 | 3528 | 3474 | 3421 | 3368 | 3316 | 3265 | 3214 | 3163 | 3114 | 3065 | 3016 | ||||
54 | 3582 | 3527 | 3473 | 3420 | 3367 | 3315 | 3264 | 3213 | 3163 | 3113 | 3064 | 3015 | ||||
55 | 3581 | 3526 | 3472 | 3419 | 3366 | 3314 | 3263 | 3212 | 3162 | 3112 | 3063 | 3014 | ||||
56 | 3580 | 3525 | 3471 | 3418 | 3365 | 3313 | 3262 | 3211 | 3161 | 3111 | 3062 | 3014 | ||||
57 | 3579 | 3525 | 3471 | 3417 | 3365 | 3313 | 3261 | 3210 | 3160 | 3110 | 3061 | 3013 | ||||
58 | 3578 | 3524 | 3470 | 3416 | 3364 | 3312 | 3260 | 3209 | 3159 | 3110 | 3060 | 3012 | ||||
59 | 3577 | 3523 | 3469 | 3415 | 3363 | 3311 | 3259 | 3209 | 3158 | 3109 | 3060 | 3011 | ||||
60 | 3576 | 3522 | 3468 | 3415 | 3362 | 3310 | 3259 | 3208 | 3158 | 3108 | 3059 | 3010 |
[page] 48
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
1° 30′ | 1° 31′ | 1° 32′ | 1° 33′ | 1° 34′ | 1° 35′ | 1° 36′ | 1° 37′ | 1° 38′ | 1° 39′ | 1° 40′ | 1° 41′ | |||||
0 | 3010 | 2962 | 2915 | 2868 | 2821 | 2775 | 2730 | 2685 | 2640 | 2596 | 2553 | 2510 | ||||
1 | 3009 | 2962 | 2914 | 2867 | 2821 | 2775 | 2729 | 2684 | 2640 | 2596 | 2552 | 2509 | ||||
2 | 3009 | 2961 | 2913 | 2866 | 2820 | 2774 | 2729 | 2683 | 2639 | 2595 | 2551 | 2508 | ||||
3 | 3008 | 2960 | 2912 | 2866 | 2819 | 2773 | 2728 | 2683 | 2638 | 2594 | 2551 | 2507 | ||||
4 | 3007 | 2959 | 2912 | 2865 | 2818 | 2772 | 2727 | 2682 | 2638 | 2593 | 2550 | 2507 | ||||
5 | 3006 | 2958 | 2911 | 2864 | 2818 | 2772 | 2726 | 2681 | 2637 | 2593 | 2549 | 2506 | ||||
6 | 3005 | 2958 | 2910 | 2863 | 2817 | 2771 | 2725 | 2681 | 2636 | 2592 | 2548 | 2505 | ||||
7 | 3005 | 2957 | 2909 | 2862 | 2816 | 2770 | 2725 | 2680 | 2635 | 2591 | 2548 | 2504 | ||||
8 | 3004 | 2956 | 2909 | 2862 | 2815 | 2769 | 2724 | 2679 | 2635 | 2591 | 2547 | 2504 | ||||
9 | 3003 | 2955 | 2908 | 2861 | 2815 | 2769 | 2723 | 2678 | 2634 | 2590 | 2546 | 2503 | ||||
10 | 3002 | 2954 | 2907 | 2860 | 2814 | 2768 | 2722 | 2678 | 2633 | 2589 | 2545 | 2503 | ||||
11 | 3001 | 2954 | 2906 | 2859 | 2813 | 2767 | 2722 | 2677 | 2632 | 2588 | 2545 | 2502 | ||||
12 | 3001 | 2953 | 2905 | 2859 | 2812 | 2766 | 2721 | 2676 | 2632 | 2588 | 2544 | 2501 | ||||
13 | 3000 | 2952 | 2905 | 2858 | 2811 | 2766 | 2720 | 2675 | 2631 | 2587 | 2543 | 2500 | ||||
14 | 2999 | 2951 | 2904 | 2857 | 2811 | 2765 | 2719 | 2675 | 2630 | 2586 | 2543 | 2499 | ||||
15 | 2998 | 2950 | 2903 | 2856 | 2810 | 2764 | 2719 | 2674 | 2629 | 2585 | 2542 | 2499 | ||||
16 | 2997 | 2950 | 2902 | 2855 | 2809 | 2763 | 2718 | 2673 | 2629 | 2585 | 2541 | 2498 | ||||
17 | 2997 | 2949 | 2901 | 2855 | 2808 | 2763 | 2717 | 2672 | 2928 | 2584 | 2540 | 2497 | ||||
18 | 2996 | 2948 | 2901 | 2854 | 2808 | 2762 | 2716 | 2672 | 2627 | 2583 | 2540 | 2497 | ||||
19 | 2995 | 2947 | 2900 | 2853 | 2807 | 2761 | 2716 | 2671 | 2626 | 2583 | 2538 | 2496 | ||||
20 | 2994 | 2946 | 2899 | 2852 | 2806 | 2760 | 2715 | 2670 | 2626 | 2582 | 2538 | 2495 | ||||
21 | 2993 | 2946 | 2898 | 2852 | 2805 | 2760 | 2714 | 2669 | 2625 | 2581 | 2538 | 2494 | ||||
22 | 2993 | 2945 | 2898 | 2851 | 2805 | 2759 | 2713 | 2669 | 2624 | 2580 | 2537 | 2494 | ||||
23 | 2992 | 2944 | 2897 | 2850 | 2804 | 2758 | 2713 | 2668 | 2624 | 2580 | 2536 | 2493 | ||||
24 | 2991 | 2943 | 2896 | 2849 | 2803 | 2757 | 2712 | 2667 | 2623 | 2579 | 2535 | 2492 | ||||
25 | 2990 | 2942 | 2895 | 2848 | 2802 | 2756 | 2711 | 2666 | 2622 | 2578 | 2535 | 2492 | ||||
26 | 2989 | 2942 | 2894 | 2848 | 2801 | 2756 | 2710 | 2666 | 2621 | 2577 | 2534 | 2491 | ||||
27 | 2989 | 2941 | 2894 | 2847 | 2801 | 2755 | 2710 | 2665 | 2621 | 2577 | 2533 | 2490 | ||||
28 | 2988 | 2940 | 2893 | 2846 | 2800 | 2754 | 2709 | 2664 | 2620 | 2576 | 2533 | 2489 | ||||
29 | 2987 | 2939 | 2892 | 2845 | 2799 | 2753 | 2708 | 2663 | 2619 | 2575 | 2532 | 2489 | ||||
30 | 2986 | 2939 | 2891 | 2845 | 2798 | 2753 | 2707 | 2663 | 2618 | 2574 | 2532 | 2488 | ||||
31 | 2985 | 2938 | 2891 | 2844 | 2798 | 2752 | 2707 | 2662 | 2618 | 2574 | 2530 | 2487 | ||||
32 | 2985 | 2937 | 2890 | 2843 | 2797 | 2751 | 2706 | 2661 | 2617 | 2573 | 2530 | 2487 | ||||
33 | 2984 | 2936 | 2889 | 2842 | 2796 | 2750 | 2705 | 2660 | 2616 | 2572 | 2529 | 2486 | ||||
34 | 2983 | 2935 | 2888 | 2842 | 2795 | 2750 | 2704 | 2660 | 2615 | 2572 | 2528 | 2485 | ||||
35 | 2985 | 2935 | 2887 | 2841 | 2795 | 2749 | 2704 | 2659 | 2615 | 2571 | 2527 | 2485 | ||||
36 | 2981 | 2935 | 2887 | 2840 | 2794 | 2748 | 2703 | 2658 | 2614 | 2570 | 2527 | 2484 | ||||
37 | 2981 | 2933 | 2886 | 2839 | 2793 | 2747 | 2702 | 2657 | 2613 | 2569 | 2526 | 2483 | ||||
38 | 2980 | 2932 | 2885 | 2838 | 2792 | 2747 | 2701 | 2657 | 2612 | 2569 | 2525 | 2483 | ||||
39 | 2979 | 2931 | 2884 | 2838 | 2792 | 2746 | 2701 | 2656 | 2612 | 2568 | 2525 | 2482 | ||||
40 | 2978 | 2931 | 2883 | 2837 | 2791 | 2745 | 2700 | 2655 | 2611 | 2567 | 2524 | 2481 | ||||
41 | 2977 | 2930 | 2883 | 2836 | 2790 | 2744 | 2699 | 2655 | 2610 | 2566 | 2523 | 2480 | ||||
42 | 2977 | 2929 | 2882 | 2835 | 2789 | 2744 | 2698 | 2654 | 2610 | 2566 | 2522 | 2480 | ||||
43 | 2976 | 2928 | 2881 | 2835 | 2788 | 2743 | 2698 | 2653 | 2609 | 2565 | 2522 | 2479 | ||||
44 | 2975 | 2927 | 2880 | 2834 | 2788 | 2742 | 2697 | 2652 | 2608 | 2564 | 2521 | 2478 | ||||
45 | 2974 | 2927 | 2880 | 2833 | 2787 | 2741 | 2696 | 2652 | 2607 | 2564 | 2520 | 2477 | ||||
46 | 2973 | 2926 | 2879 | 2832 | 2786 | 2741 | 2696 | 2651 | 2607 | 2563 | 2520 | 2477 | ||||
47 | 2973 | 2925 | 2878 | 2831 | 2785 | 2740 | 2695 | 2650 | 2606 | 2562 | 2519 | 2486 | ||||
48 | 2972 | 2924 | 2877 | 2831 | 2785 | 2739 | 2694 | 2649 | 2605 | 2561 | 2518 | 2485 | ||||
49 | 2971 | 2924 | 2876 | 2830 | 2784 | 2738 | 2693 | 2649 | 2604 | 2561 | 2517 | 2485 | ||||
50 | 2970 | 2923 | 2876 | 2829 | 2783 | 2738 | 2692 | 2648 | 2604 | 2560 | 2517 | 2474 | ||||
51 | 2969 | 2922 | 2875 | 2828 | 2782 | 2737 | 2692 | 2647 | 2603 | 2559 | 2516 | 2473 | ||||
52 | 2969 | 2921 | 3874 | 2828 | 2782 | 2736 | 2691 | 2646 | 2602 | 2558 | 2515 | 2472 | ||||
53 | 2968 | 2920 | 2873 | 2827 | 2781 | 2735 | 2690 | 2646 | 2601 | 2558 | 2515 | 2472 | ||||
54 | 2967 | 2920 | 2873 | 2826 | 2780 | 2735 | 2689 | 2645 | 2601 | 2557 | 2514 | 2471 | ||||
55 | 2966 | 2919 | 2872 | 2825 | 2779 | 2734 | 2689 | 2644 | 2600 | 2556 | 2513 | 2470 | ||||
56 | 2965 | 2918 | 2871 | 2825 | 2779 | 2733 | 2688 | 2643 | 2599 | 2556 | 2512 | 2470 | ||||
57 | 2965 | 2917 | 2870 | 2824 | 2778 | 2732 | 2687 | 2643 | 2599 | 2555 | 2512 | 2469 | ||||
58 | 2964 | 2916 | 2869 | 2823 | 2777 | 2732 | 2687 | 2642 | 2598 | 2554 | 2511 | 2468 | ||||
59 | 2963 | 2916 | 2869 | 2822 | 2776 | 2731 | 2686 | 2641 | 2587 | 2553 | 2510 | 2467 | ||||
60 | 2962 | 2915 | 2868 | 2821 | 2775 | 2730 | 2685 | 2640 | 2596 | 2553 | 2510 | 2467 |
[page] 49
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | ||||
1° 42′ | 1° 43′ | 1° 44′ | 1° 45′ | 1° 46′ | 1° 47′ | 1° 48′ | 1° 49′ | 1° 50′ | 1° 51′ | 1° 52′ | 1° 53′ | |||||
0 | 2467 | 2424 | 2382 | 2341 | 2300 | 2259 | 2218 | 2178 | 2139 | 2099 | 2061 | 2022 | ||||
1 | 2466 | 2424 | 2382 | 2340 | 2299 | 2258 | 2218 | 2178 | 2138 | 2099 | 2060 | 2021 | ||||
2 | 2465 | 2423 | 2381 | 2339 | 2298 | 2258 | 2217 | 2177 | 2137 | 2098 | 2059 | 2021 | ||||
3 | 2465 | 2422 | 2380 | 2339 | 2298 | 2257 | 2216 | 2176 | 2137 | 2098 | 2059 | 2020 | ||||
4 | 2464 | 2422 | 2380 | 2338 | 2297 | 2256 | 2216 | 2176 | 2136 | 2097 | 2058 | 2019 | ||||
5 | 2463 | 2421 | 2379 | 2337 | 2296 | 2256 | 2215 | 2175 | 2136 | 2096 | 2057 | 2019 | ||||
6 | 2462 | 2420 | 2378 | 2337 | 2296 | 2255 | 2214 | 2174 | 2135 | 2096 | 2057 | 2018 | ||||
7 | 2462 | 2419 | 2378 | 2336 | 2295 | 2254 | 2214 | 2174 | 2134 | 2095 | 2056 | 2017 | ||||
8 | 2461 | 2419 | 2377 | 2335 | 2294 | 2253 | 2213 | 2173 | 2134 | 2094 | 2055 | 2017 | ||||
9 | 2460 | 2418 | 2376 | 2335 | 2294 | 2253 | 2212 | 2172 | 2133 | 2094 | 2055 | 2016 | ||||
10 | 2460 | 2417 | 2375 | 2334 | 2293 | 2252 | 2212 | 2172 | 2132 | 2093 | 2054 | 2016 | ||||
11 | 2459 | 2417 | 2375 | 2333 | 2292 | 2251 | 2211 | 2171 | 2132 | 2092 | 2053 | 2015 | ||||
12 | 2458 | 2416 | 2374 | 2333 | 2291 | 2251 | 2210 | 2170 | 2131 | 2092 | 2053 | 2014 | ||||
13 | 2458 | 2415 | 2373 | 2332 | 2291 | 2250 | 2210 | 2170 | 2130 | 2091 | 2052 | 2014 | ||||
14 | 2457 | 2415 | 2373 | 2331 | 2290 | 2249 | 2209 | 2169 | 2130 | 2090 | 2052 | 2013 | ||||
15 | 2456 | 2414 | 2372 | 2331 | 2289 | 2249 | 2208 | 2168 | 2129 | 2090 | 2051 | 2012 | ||||
16 | 2455 | 2413 | 2371 | 2330 | 2289 | 2248 | 2208 | 2168 | 2128 | 2089 | 2050 | 2012 | ||||
17 | 2455 | 2412 | 2371 | 2329 | 2288 | 2247 | 2207 | 2167 | 2128 | 2088 | 2050 | 2011 | ||||
18 | 2454 | 2412 | 2370 | 2328 | 2287 | 2247 | 2206 | 2167 | 2127 | 2088 | 2049 | 2010 | ||||
19 | 2453 | 2411 | 2369 | 2328 | 2287 | 2246 | 2206 | 2166 | 2126 | 2087 | 2048 | 2010 | ||||
20 | 2453 | 2410 | 2368 | 2327 | 2286 | 2245 | 2205 | 2165 | 2126 | 2086 | 2048 | 2009 | ||||
21 | 2452 | 2410 | 2368 | 2326 | 2285 | 2245 | 2204 | 2165 | 2125 | 2086 | 2047 | 2009 | ||||
22 | 2451 | 2409 | 2367 | 2326 | 2285 | 2244 | 2204 | 2164 | 2124 | 2085 | 2046 | 2008 | ||||
23 | 2450 | 2408 | 2366 | 2325 | 2284 | 2243 | 2203 | 2163 | 2124 | 2085 | 2046 | 2007 | ||||
24 | 2450 | 2408 | 2366 | 2324 | 2283 | 2243 | 2202 | 2163 | 2123 | 2084 | 2045 | 2007 | ||||
25 | 2449 | 2407 | 2365 | 2324 | 2283 | 2242 | 2202 | 2162 | 2122 | 2083 | 2044 | 2006 | ||||
26 | 2448 | 2406 | 2364 | 2323 | 2282 | 2241 | 2201 | 2161 | 2122 | 2083 | 2044 | 2005 | ||||
27 | 2448 | 2405 | 2364 | 2322 | 2281 | 2241 | 2200 | 2161 | 2121 | 2082 | 2043 | 2005 | ||||
28 | 2447 | 2405 | 2363 | 2322 | 2281 | 2240 | 2200 | 2160 | 2120 | 2081 | 2042 | 2004 | ||||
29 | 2446 | 2404 | 2362 | 2321 | 2280 | 2239 | 2199 | 2159 | 2120 | 2081 | 2042 | 2003 | ||||
30 | 2445 | 2403 | 2362 | 2320 | 2279 | 2239 | 2198 | 2159 | 2119 | 2080 | 2041 | 2003 | ||||
31 | 2445 | 2403 | 2361 | 2320 | 2279 | 2238 | 2198 | 2158 | 2118 | 2079 | 2041 | 2002 | ||||
32 | 2444 | 2402 | 2360 | 2319 | 2278 | 2237 | 2197 | 2157 | 2118 | 2079 | 2040 | 2001 | ||||
33 | 2443 | 2401 | 2359 | 2318 | 2277 | 2237 | 2196 | 2157 | 2117 | 2078 | 2039 | 2001 | ||||
34 | 2443 | 2401 | 2359 | 2317 | 2277 | 2236 | 2196 | 2156 | 2116 | 2077 | 2039 | 2000 | ||||
35 | 2442 | 2400 | 2358 | 2317 | 2276 | 2235 | 2195 | 2155 | 2116 | 2077 | 2038 | 2000 | ||||
36 | 2441 | 2399 | 2357 | 2316 | 2275 | 2235 | 2174 | 2155 | 2115 | 2076 | 2037 | 1999 | ||||
37 | 2441 | 2398 | 2357 | 2315 | 2274 | 2234 | 2194 | 2154 | 2115 | 2075 | 2037 | 1998 | ||||
38 | 2440 | 2398 | 2356 | 2315 | 2274 | 2233 | 2193 | 2153 | 2114 | 2075 | 2036 | 1998 | ||||
39 | 2439 | 2397 | 2355 | 2314 | 2273 | 2233 | 2192 | 2153 | 2113 | 2074 | 2035 | 1997 | ||||
40 | 2438 | 2396 | 2355 | 2313 | 2272 | 2232 | 2192 | 2152 | 2113 | 2073 | 2035 | 1996 | ||||
41 | 2438 | 2396 | 2354 | 2313 | 2272 | 2231 | 2191 | 2151 | 2112 | 2073 | 2034 | 1996 | ||||
42 | 2437 | 2395 | 2353 | 2312 | 2271 | 2231 | 2190 | 2151 | 2111 | 2072 | 2033 | 1995 | ||||
43 | 2436 | 2394 | 2353 | 2311 | 2270 | 2230 | 2190 | 2150 | 2111 | 2072 | 2033 | 1994 | ||||
44 | 2436 | 2394 | 2352 | 2311 | 2270 | 2229 | 2189 | 2149 | 2110 | 2071 | 2032 | 1994 | ||||
45 | 2435 | 2393 | 2351 | 2310 | 2269 | 2229 | 2188 | 2149 | 2109 | 2070 | 2032 | 1993 | ||||
46 | 2434 | 2392 | 2350 | 2309 | 2268 | 2228 | 2188 | 2148 | 2109 | 2070 | 2031 | 1993 | ||||
47 | 2433 | 2391 | 2350 | 2309 | 2268 | 2227 | 2187 | 2147 | 2108 | 2069 | 2030 | 1992 | ||||
48 | 2433 | 2391 | 2349 | 2308 | 2267 | 2227 | 2186 | 2147 | 2107 | 2068 | 2030 | 1991 | ||||
49 | 2432 | 2390 | 2348 | 2307 | 2266 | 2226 | 2186 | 2146 | 2107 | 2068 | 2029 | 1991 | ||||
50 | 2431 | 2389 | 2348 | 2307 | 2266 | 2225 | 2185 | 2145 | 2106 | 2067 | 2028 | 1990 | ||||
51 | 2431 | 2389 | 2347 | 2306 | 2265 | 2225 | 2184 | 2145 | 2105 | 2066 | 2028 | 1989 | ||||
52 | 2430 | 2388 | 2346 | 2305 | 2264 | 2224 | 2184 | 2144 | 2105 | 2066 | 2027 | 1989 | ||||
53 | 2429 | 2387 | 2346 | 2304 | 2264 | 2223 | 2183 | 2143 | 2104 | 2065 | 2026 | 1988 | ||||
54 | 2429 | 2387 | 2345 | 2304 | 2263 | 2223 | 2182 | 2143 | 2103 | 2064 | 2026 | 1987 | ||||
55 | 2428 | 2386 | 2344 | 2303 | 2262 | 2222 | 2182 | 2142 | 2103 | 2064 | 2025 | 1987 | ||||
56 | 2427 | 2385 | 2344 | 2302 | 2262 | 2221 | 2181 | 2141 | 2102 | 2063 | 2025 | 1986 | ||||
57 | 2426 | 2384 | 2343 | 2302 | 2261 | 2220 | 2180 | 2141 | 2101 | 2062 | 2024 | 1986 | ||||
58 | 2426 | 2384 | 2342 | 2301 | 2260 | 2220 | 2180 | 2140 | 2101 | 2062 | 2023 | 1985 | ||||
59 | 2425 | 2383 | 2342 | 2300 | 2260 | 2219 | 2179 | 2139 | 2100 | 2061 | 2023 | 1984 | ||||
60 | 2424 | 2382 | 2341 | 2300 | 2259 | 2218 | 2178 | 2139 | 2999 | 2061 | 2022 | 1984 |
G
[page] 50
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | |||||
1° 54′ | 1° 55′ | 1° 56′ | 1° 57′ | 1° 58′ | 1° 59′ | 2° 0′ | 2° 1′ | 2° 2′ | 2° 3′ | 2° 4′ | ||||||
0 | 1984 | 1946 | 1908 | 1871 | 1834 | 1797 | 1761 | 1725 | 1689 | 1654 | 1619 | |||||
1 | 1983 | 1945 | 1908 | 1870 | 1833 | 1797 | 1760 | 1724 | 1689 | 1653 | 1618 | |||||
2 | 1982 | 1944 | 1907 | 1870 | 1833 | 1796 | 1760 | 1724 | 1688 | 1652 | 1617 | |||||
3 | 1982 | 1944 | 1906 | 1869 | 1832 | 1795 | 1759 | 1723 | 1687 | 1652 | 1617 | |||||
4 | 1981 | 1943 | 1906 | 1868 | 1831 | 1795 | 1759 | 1722 | 1687 | 1651 | 1616 | |||||
5 | 1981 | 1943 | 1905 | 1868 | 1831 | 1794 | 1758 | 1722 | 1686 | 1651 | 1616 | |||||
6 | 1980 | 1942 | 1904 | 1867 | 1830 | 1794 | 1757 | 1721 | 1686 | 1650 | 1615 | |||||
7 | 1979 | 1941 | 1904 | 1867 | 1830 | 1793 | 1757 | 1721 | 1685 | 1650 | 1614 | |||||
8 | 1979 | 1941 | 1903 | 1866 | 1829 | 1792 | 1756 | 1720 | 1684 | 1649 | 1614 | |||||
9 | 1978 | 1940 | 1903 | 1865 | 1828 | 1792 | 1755 | 1719 | 1684 | 1648 | 1613 | |||||
10 | 1977 | 1939 | 1902 | 1865 | 1828 | 1791 | 1755 | 1719 | 1683 | 1648 | 1613 | |||||
11 | 1977 | 1939 | 1901 | 1864 | 1827 | 1791 | 1754 | 1718 | 1683 | 1647 | 1612 | |||||
12 | 1976 | 1938 | 1901 | 1863 | 1827 | 1790 | 1754 | 1718 | 1682 | 1647 | 1612 | |||||
13 | 1975 | 1938 | 1900 | 1863 | 1826 | 1789 | 1753 | 1717 | 1681 | 1646 | 1611 | |||||
14 | 1975 | 1937 | 1899 | 1862 | 1825 | 1789 | 1752 | 1717 | 1681 | 1645 | 1610 | |||||
15 | 1974 | 1936 | 1899 | 1862 | 1825 | 1788 | 1752 | 1716 | 1680 | 1645 | 1610 | |||||
16 | 1974 | 1936 | 1898 | 1861 | 1824 | 1788 | 1751 | 1715 | 1680 | 1644 | 1609 | |||||
17 | 1973 | 1935 | 1898 | 1860 | 1823 | 1787 | 1751 | 1715 | 1679 | 1644 | 1609 | |||||
18 | 1972 | 1934 | 1897 | 1860 | 1823 | 1786 | 1750 | 1714 | 1678 | 1643 | 1608 | |||||
19 | 1972 | 1934 | 1896 | 1859 | 1822 | 1786 | 1749 | 1714 | 1678 | 1643 | 1607 | |||||
20 | 1971 | 1933 | 1896 | 1859 | 1822 | 1785 | 1749 | 1713 | 1677 | 1642 | 1607 | |||||
21 | 1970 | 1933 | 1895 | 1858 | 1821 | 1785 | 1748 | 1712 | 1677 | 1641 | 1606 | |||||
22 | 1970 | 1932 | 1894 | 1857 | 1820 | 1784 | 1748 | 1712 | 1676 | 1641 | 1606 | |||||
23 | 1969 | 1931 | 1894 | 1857 | 1820 | 1783 | 1747 | 1711 | 1676 | 1640 | 1605 | |||||
24 | 1968 | 1931 | 1893 | 1856 | 1819 | 1783 | 1746 | 1711 | 1675 | 1640 | 1605 | |||||
25 | 1968 | 1930 | 1893 | 1855 | 1819 | 1782 | 1746 | 1710 | 1674 | 1639 | 1604 | |||||
26 | 1967 | 1929 | 1892 | 1855 | 1818 | 1781 | 1745 | 1709 | 1674 | 1638 | 1603 | |||||
27 | 1967 | 1929 | 1891 | 1854 | 1817 | 1781 | 1745 | 1709 | 1673 | 1638 | 1603 | |||||
28 | 1966 | 1928 | 1891 | 1854 | 1817 | 1780 | 1744 | 1708 | 1673 | 1637 | 1602 | |||||
29 | 1965 | 1928 | 1890 | 1853 | 1816 | 1780 | 1743 | 1708 | 1672 | 1637 | 1602 | |||||
30 | 1965 | 1927 | 1889 | 1852 | 1816 | 1779 | 1743 | 1707 | 1671 | 1636 | 1601 | |||||
31 | 1964 | 1926 | 1889 | 1852 | 1815 | 1778 | 1742 | 1706 | 1671 | 1635 | 1600 | |||||
32 | 1963 | 1926 | 1888 | 1851 | 1814 | 1778 | 1742 | 1706 | 1670 | 1635 | 1600 | |||||
33 | 1963 | 1925 | 1888 | 1850 | 1814 | 1777 | 1741 | 1705 | 1670 | 1634 | 1599 | |||||
34 | 1962 | 1924 | 1887 | 1850 | 1813 | 1777 | 1740 | 1705 | 1669 | 1634 | 1599 | |||||
35 | 1962 | 1924 | 1886 | 1849 | 1812 | 1776 | 1740 | 1704 | 1668 | 1633 | 1598 | |||||
36 | 1961 | 1923 | 1886 | 1849 | 1812 | 1775 | 1739 | 1703 | 1668 | 1633 | 1598 | |||||
37 | 1960 | 1923 | 1885 | 1848 | 1811 | 1775 | 1739 | 1703 | 1667 | 1632 | 1597 | |||||
38 | 1960 | 1922 | 1884 | 1847 | 1811 | 1774 | 1738 | 1702 | 1667 | 1631 | 1596 | |||||
39 | 1959 | 1921 | 1884 | 1847 | 1810 | 1774 | 1737 | 1702 | 1666 | 1631 | 1596 | |||||
40 | 1958 | 1921 | 1883 | 1846 | 1809 | 1773 | 1737 | 1701 | 1665 | 1630 | 1595 | |||||
41 | 1958 | 1920 | 1883 | 1846 | 1809 | 1772 | 1736 | 1700 | 1665 | 1630 | 1595 | |||||
42 | 1957 | 1919 | 1882 | 1845 | 1808 | 1772 | 1736 | 1700 | 1664 | 1629 | 1594 | |||||
43 | 1956 | 1919 | 1881 | 1844 | 1808 | 1771 | 1735 | 1699 | 1664 | 1628 | 1593 | |||||
44 | 1956 | 1918 | 1881 | 1844 | 1807 | 1771 | 1734 | 1699 | 1663 | 1628 | 1593 | |||||
45 | 1955 | 1918 | 1880 | 1843 | 1806 | 1770 | 1734 | 1698 | 1663 | 1627 | 1592 | |||||
46 | 1955 | 1917 | 1880 | 1843 | 1806 | 1769 | 1733 | 1697 | 1662 | 1627 | 1592 | |||||
47 | 1954 | 1916 | 1879 | 1842 | 1805 | 1769 | 1733 | 1697 | 1661 | 1626 | 1591 | |||||
48 | 1953 | 1916 | 1878 | 1841 | 1805 | 1768 | 1732 | 1696 | 1661 | 1626 | 1591 | |||||
49 | 1953 | 1915 | 1878 | 1841 | 1804 | 1768 | 1731 | 1696 | 1660 | 1625 | 1590 | |||||
50 | 1952 | 1914 | 1877 | 1840 | 1803 | 1767 | 1731 | 1695 | 1660 | 1624 | 1589 | |||||
51 | 1951 | 1914 | 1876 | 1839 | 1803 | 1766 | 1730 | 1694 | 1959 | 1624 | 1589 | |||||
52 | 1951 | 1913 | 1876 | 1839 | 1802 | 1766 | 1730 | 1694 | 1658 | 1623 | 1588 | |||||
53 | 1950 | 1913 | 1875 | 1838 | 1802 | 1765 | 1729 | 1693 | 1658 | 1623 | 1588 | |||||
54 | 1950 | 1912 | 1875 | 1838 | 1801 | 1765 | 1728 | 1693 | 1657 | 1622 | 1587 | |||||
55 | 1949 | 1911 | 1874 | 1837 | 1800 | 1764 | 1728 | 1692 | 1657 | 1621 | 1587 | |||||
56 | 1948 | 1911 | 1873 | 1836 | 1800 | 1763 | 1727 | 1692 | 1656 | 1621 | 1586 | |||||
57 | 1948 | 1910 | 1873 | 1836 | 1799 | 1763 | 1727 | 1691 | 1655 | 1620 | 1585 | |||||
58 | 1947 | 1909 | 1872 | 1835 | 1798 | 1762 | 1726 | 1690 | 1655 | 1620 | 1585 | |||||
59 | 1946 | 1909 | 1871 | 1835 | 1798 | 1762 | 1725 | 1690 | 1654 | 1619 | 1584 | |||||
60 | 1946 | 1908 | 1871 | 1834 | 1797 | 1761 | 1725 | 1689 | 1654 | 1619 | 1584 |
[page] 51
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | |||||
2° 5′ | 2° 6′ | 2° 7′ | 2° 8′ | 2° 9′ | 2° 10′ | 2° 11′ | 2° 12′ | 2° 13′ | 2° 14′ | 2° 15′ | ||||||
0 | 1584 | 1549 | 1515 | 1481 | 1447 | 1413 | 1380 | 1347 | 1314 | 1282 | 1249 | |||||
1 | 1583 | 1548 | 1514 | 1480 | 1446 | 1413 | 1379 | 1346 | 1314 | 1281 | 1249 | |||||
2 | 1582 | 1548 | 1514 | 1479 | 1446 | 1412 | 1379 | 1346 | 1313 | 1281 | 1248 | |||||
3 | 1582 | 1547 | 1513 | 1479 | 1445 | 1412 | 1378 | 1345 | 1313 | 1280 | 1248 | |||||
4 | 1581 | 1547 | 1512 | 1478 | 1445 | 1411 | 1378 | 1345 | 1312 | 1280 | 1247 | |||||
5 | 1581 | 1546 | 1512 | 1478 | 1444 | 1411 | 1377 | 1344 | 1311 | 1279 | 1247 | |||||
6 | 1580 | 1546 | 1511 | 1477 | 1443 | 1410 | 1377 | 1344 | 1311 | 1278 | 1246 | |||||
7 | 1580 | 1545 | 1511 | 1477 | 1443 | 1409 | 1376 | 1343 | 1310 | 1278 | 1246 | |||||
8 | 1579 | 1544 | 1510 | 1476 | 1442 | 1409 | 1376 | 1343 | 1310 | 1277 | 1245 | |||||
9 | 1578 | 1544 | 1510 | 1476 | 1442 | 1408 | 1375 | 1342 | 1309 | 1277 | 1245 | |||||
10 | 1578 | 1543 | 1509 | 1475 | 1441 | 1408 | 1374 | 1342 | 1309 | 1276 | 1244 | |||||
11 | 1577 | 1543 | 1508 | 1474 | 1441 | 1407 | 1374 | 1341 | 1308 | 1276 | 1243 | |||||
12 | 1577 | 1542 | 1508 | 1474 | 1440 | 1407 | 1373 | 1340 | 1308 | 1275 | 1243 | |||||
13 | 1576 | 1542 | 1507 | 1473 | 1440 | 1406 | 1373 | 1340 | 1307 | 1275 | 1242 | |||||
14 | 1576 | 1541 | 1507 | 1473 | 1439 | 1406 | 1372 | 1339 | 1307 | 1274 | 1242 | |||||
15 | 1575 | 1540 | 1506 | 1472 | 1438 | 1405 | 1372 | 1339 | 1306 | 1274 | 1241 | |||||
16 | 1574 | 1540 | 1506 | 1472 | 1438 | 1404 | 1371 | 1338 | 1306 | 1273 | 1241 | |||||
17 | 1574 | 1539 | 1505 | 1471 | 1437 | 1404 | 1371 | 1338 | 1305 | 1273 | 1240 | |||||
18 | 1573 | 1539 | 1504 | 1470 | 1437 | 1403 | 1370 | 1337 | 1304 | 1272 | 1240 | |||||
19 | 1573 | 1538 | 1504 | 1470 | 1436 | 1403 | 1370 | 1337 | 1304 | 1271 | 1239 | |||||
20 | 1572 | 1538 | 1503 | 1469 | 1436 | 1402 | 1369 | 1336 | 1303 | 1271 | 1239 | |||||
21 | 1571 | 1537 | 1503 | 1469 | 1435 | 1402 | 1368 | 1335 | 1303 | 1270 | 1238 | |||||
22 | 1571 | 1536 | 1502 | 1468 | 1435 | 1401 | 1368 | 1335 | 1302 | 1270 | 1238 | |||||
23 | 1570 | 1536 | 1502 | 1468 | 1434 | 1401 | 1367 | 1334 | 1302 | 1269 | 1237 | |||||
24 | 1570 | 1535 | 1501 | 1467 | 1433 | 1400 | 1367 | 1334 | 1301 | 1269 | 1237 | |||||
25 | 1569 | 1535 | 1500 | 1467 | 1433 | 1399 | 1366 | 1333 | 1301 | 1268 | 1236 | |||||
26 | 1569 | 1534 | 1500 | 1466 | 1432 | 1399 | 1366 | 1333 | 1300 | 1268 | 1235 | |||||
27 | 1568 | 1534 | 1499 | 1465 | 1432 | 1398 | 1365 | 1332 | 1300 | 1267 | 1235 | |||||
28 | 1567 | 1533 | 1499 | 1465 | 1431 | 1398 | 1365 | 1332 | 1299 | 1267 | 1234 | |||||
29 | 1567 | 1532 | 1498 | 1464 | 1431 | 1397 | 1364 | 1331 | 1298 | 1266 | 1234 | |||||
30 | 1566 | 1532 | 1498 | 1464 | 1430 | 1397 | 1363 | 1331 | 1298 | 1266 | 1233 | |||||
31 | 1566 | 1531 | 1497 | 1463 | 1429 | 1396 | 1363 | 1330 | 1297 | 1265 | 1233 | |||||
32 | 1565 | 1531 | 1496 | 1463 | 1429 | 1396 | 1362 | 1329 | 1297 | 1264 | 1232 | |||||
33 | 1565 | 1530 | 1496 | 1462 | 1428 | 1395 | 1362 | 1329 | 1296 | 1264 | 1232 | |||||
34 | 1564 | 1530 | 1495 | 1461 | 1428 | 1394 | 1361 | 1328 | 1296 | 1263 | 1231 | |||||
35 | 1563 | 1529 | 1495 | 1461 | 1427 | 1394 | 1361 | 1328 | 1295 | 1263 | 1231 | |||||
36 | 1563 | 1528 | 1494 | 1460 | 1427 | 1393 | 1360 | 1327 | 1295 | 1262 | 1230 | |||||
37 | 1562 | 1528 | 1494 | 1460 | 1426 | 1393 | 1360 | 1327 | 1294 | 1262 | 1230 | |||||
38 | 1562 | 1527 | 1493 | 1459 | 1426 | 1392 | 1359 | 1326 | 1294 | 1261 | 1229 | |||||
39 | 1561 | 1527 | 1493 | 1459 | 1425 | 1392 | 1359 | 1326 | 1293 | 1261 | 1229 | |||||
40 | 1561 | 1526 | 1492 | 1458 | 1424 | 1391 | 1358 | 1325 | 1292 | 1260 | 1228 | |||||
41 | 1560 | 1526 | 1491 | 1458 | 1424 | 1391 | 1357 | 1325 | 1292 | 1260 | 1227 | |||||
42 | 1559 | 1525 | 1491 | 1457 | 1423 | 1390 | 1357 | 1324 | 1291 | 1259 | 1227 | |||||
43 | 1559 | 1524 | 1490 | 1456 | 1423 | 1389 | 1356 | 1323 | 1291 | 1259 | 1226 | |||||
44 | 1558 | 1524 | 1490 | 1456 | 1422 | 1389 | 1356 | 1323 | 1290 | 1258 | 1226 | |||||
45 | 1558 | 1523 | 1489 | 1455 | 1422 | 1388 | 1355 | 1322 | 1290 | 1257 | 1225 | |||||
46 | 1557 | 1523 | 1489 | 1455 | 1421 | 1388 | 1355 | 1322 | 1289 | 1257 | 1225 | |||||
47 | 1556 | 1522 | 1488 | 1454 | 1421 | 1387 | 1354 | 1321 | 1289 | 1256 | 1224 | |||||
48 | 1556 | 1522 | 1487 | 1454 | 1420 | 1387 | 1354 | 1321 | 1288 | 1256 | 1224 | |||||
49 | 1555 | 1521 | 1487 | 1453 | 1419 | 1386 | 1353 | 1320 | 1288 | 1255 | 1223 | |||||
50 | 1555 | 1520 | 1486 | 1452 | 1419 | 1386 | 1352 | 1320 | 1287 | 1255 | 1223 | |||||
51 | 1554 | 1520 | 1486 | 1452 | 1418 | 1385 | 1352 | 1319 | 1287 | 1254 | 1222 | |||||
52 | 1554 | 1519 | 1485 | 1451 | 1418 | 1384 | 1351 | 1319 | 1286 | 1254 | 1222 | |||||
53 | 1553 | 1519 | 1486 | 1451 | 1417 | 1384 | 1351 | 1318 | 1285 | 1253 | 1221 | |||||
54 | 1552 | 1518 | 1484 | 1450 | 1417 | 1383 | 1350 | 1317 | 1285 | 1253 | 1221 | |||||
55 | 1552 | 1518 | 1483 | 1450 | 1416 | 1383 | 1350 | 1317 | 1284 | 1252 | 1220 | |||||
56 | 1551 | 1517 | 1483 | 1449 | 1416 | 1382 | 1349 | 1316 | 1284 | 1252 | 1219 | |||||
57 | 1551 | 1516 | 1452 | 1449 | 1415 | 1382 | 1349 | 1316 | 1283 | 1251 | 1219 | |||||
58 | 1550 | 1516 | 1482 | 1448 | 1414 | 1381 | 1348 | 1315 | 1283 | 1250 | 1218 | |||||
59 | 1550 | 1515 | 1481 | 1447 | 1414 | 1381 | 1348 | 1315 | 1282 | 1250 | 1218 | |||||
60 | 1549 | 1515 | 1481 | 1447 | 1413 | 1380 | 1347 | 1314 | 1282 | 1249 | 1217 |
G 2
[page] 52
TABLE XV. Proportional Logarithms. | ||||||||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | |||||
2° 16′ | 2° 17′ | 2° 18′ | 2° 19′ | 2° 20′ | 2° 21′ | 2° 22′ | 2° 23′ | 2° 24′ | 2° 25′ | 2° 26′ | ||||||
0 | 1217 | 1186 | 1154 | 1123 | 1091 | 1061 | 1030 | 0999 | 0969 | 0939 | 0909 | |||||
1 | 1217 | 1185 | 1153 | 1122 | 1091 | 1060 | 1029 | 0999 | 0969 | 0939 | 0909 | |||||
2 | 1216 | 1184 | 1153 | 1122 | 1090 | 1060 | 1029 | 0998 | 0968 | 0938 | 0908 | |||||
3 | 1216 | 1184 | 1152 | 1121 | 1090 | 1059 | 1028 | 0998 | 0968 | 0938 | 0908 | |||||
4 | 1215 | 1183 | 1152 | 1120 | 1089 | 1058 | 1028 | 0997 | 0967 | 0937 | 0907 | |||||
5 | 1215 | 1183 | 1151 | 1120 | 1089 | 1058 | 1027 | 0997 | 0967 | 0937 | 0907 | |||||
6 | 1214 | 1182 | 1151 | 1119 | 1088 | 1057 | 1027 | 0996 | 0966 | 0936 | 0906 | |||||
7 | 1214 | 1182 | 1150 | 1119 | 1088 | 1057 | 1026 | 0996 | 0966 | 0936 | 0906 | |||||
8 | 1213 | 1181 | 1150 | 1118 | 1087 | 1056 | 1026 | 0995 | 0965 | 0935 | 0905 | |||||
9 | 1213 | 1181 | 1149 | 1118 | 1087 | 1056 | 1025 | 0995 | 0965 | 0935 | 0905 | |||||
10 | 1212 | 1180 | 1149 | 1117 | 1086 | 1055 | 1025 | 0994 | 0964 | 0934 | 0904 | |||||
11 | 1211 | 1180 | 1148 | 1117 | 1086 | 1055 | 1024 | 0994 | 0964 | 0934 | 0904 | |||||
12 | 1211 | 1179 | 1148 | 1116 | 1085 | 1054 | 1024 | 0993 | 0963 | 0933 | 0903 | |||||
13 | 1210 | 1179 | 1147 | 1116 | 1085 | 1054 | 1023 | 0993 | 0963 | 0933 | 0903 | |||||
14 | 1210 | 1178 | 1147 | 1115 | 1084 | 1053 | 1023 | 0992 | 0962 | 0932 | 0902 | |||||
15 | 1209 | 1178 | 1146 | 1115 | 1084 | 1053 | 1022 | 0992 | 0962 | 0932 | 0902 | |||||
16 | 1209 | 1177 | 1146 | 1114 | 1083 | 1052 | 1022 | 0991 | 0961 | 0931 | 0901 | |||||
17 | 1208 | 1177 | 1145 | 1114 | 1083 | 1052 | 1021 | 0991 | 0961 | 0931 | 0901 | |||||
18 | 1208 | 1176 | 1145 | 1113 | 1082 | 1051 | 1021 | 0990 | 0960 | 0930 | 0900 | |||||
19 | 1207 | 1175 | 1144 | 1113 | 1082 | 1051 | 1020 | 0990 | 0960 | 0930 | 0900 | |||||
20 | 1207 | 1175 | 1143 | 1112 | 1081 | 1050 | 1020 | 0989 | 0959 | 0929 | 0899 | |||||
21 | 1206 | 1174 | 1143 | 1112 | 1081 | 1050 | 1019 | 0989 | 0859 | 0929 | 0899 | |||||
22 | 1206 | 1174 | 1142 | 1111 | 1080 | 1049 | 1019 | 0988 | 0958 | 0928 | 0898 | |||||
23 | 1205 | 1173 | 1142 | 1111 | 1080 | 1049 | 1018 | 0988 | 0958 | 0928 | 0898 | |||||
24 | 1205 | 1173 | 1141 | 1110 | 1079 | 1048 | 1018 | 0987 | 0957 | 0927 | 0897 | |||||
25 | 1204 | 1172 | 1141 | 1110 | 1079 | 1048 | 1017 | 0987 | 0957 | 0927 | 0897 | |||||
26 | 1204 | 1172 | 1140 | 1109 | 1078 | 1047 | 1017 | 0986 | 0956 | 0926 | 0896 | |||||
27 | 1203 | 1171 | 1140 | 1109 | 1078 | 1047 | 1016 | 0986 | 0956 | 0926 | 0896 | |||||
28 | 1202 | 1171 | 1139 | 1108 | 1077 | 1046 | 1016 | 0985 | 0955 | 0925 | 0895 | |||||
29 | 1202 | 1170 | 1139 | 1108 | 1076 | 1046 | 1015 | 0985 | 0955 | 0925 | 0895 | |||||
30 | 1201 | 1170 | 1138 | 1107 | 1076 | 1045 | 1015 | 0984 | 0954 | 0924 | 0894 | |||||
31 | 1201 | 1169 | 1138 | 1106 | 1075 | 1045 | 1014 | 0984 | 0954 | 0924 | 0894 | |||||
32 | 1200 | 1169 | 1137 | 1106 | 1074 | 1044 | 1014 | 0983 | 0953 | 0923 | 0893 | |||||
33 | 1200 | 1168 | 1137 | 1105 | 1074 | 1044 | 1013 | 0983 | 0953 | 0923 | 0893 | |||||
34 | 1199 | 1168 | 1136 | 1105 | 1074 | 1043 | 1013 | 0982 | 0952 | 0922 | 0892 | |||||
35 | 1199 | 1167 | 1136 | 1104 | 1073 | 1043 | 1012 | 0982 | 0952 | 0922 | 0892 | |||||
36 | 1198 | 1167 | 1135 | 1104 | 1073 | 1042 | 1012 | 0981 | 0951 | 0921 | 0891 | |||||
37 | 1198 | 1166 | 1135 | 1103 | 1072 | 1042 | 1011 | 0981 | 0951 | 0921 | 0891 | |||||
38 | 1197 | 1165 | 1134 | 1103 | 1072 | 1041 | 1011 | 0980 | 0950 | 0920 | 0890 | |||||
39 | 1197 | 1165 | 1134 | 1102 | 1071 | 1041 | 1010 | 0980 | 0950 | 0920 | 0890 | |||||
40 | 1196 | 1164 | 1133 | 1102 | 1071 | 1040 | 1009 | 0979 | 0949 | 0919 | 0889 | |||||
41 | 1196 | 1164 | 1132 | 1101 | 1070 | 1040 | 1009 | 0979 | 0949 | 0919 | 0889 | |||||
42 | 1195 | 1163 | 1132 | 1101 | 1070 | 1039 | 1008 | 0978 | 0948 | 0918 | 0888 | |||||
43 | 1195 | 1163 | 1131 | 1100 | 1069 | 1039 | 1008 | 0978 | 0948 | 0918 | 0888 | |||||
44 | 1194 | 1162 | 1131 | 1100 | 1069 | 1038 | 1007 | 0977 | 0947 | 0917 | 0887 | |||||
45 | 1193 | 1162 | 1130 | 1099 | 1068 | 1037 | 1007 | 0977 | 0947 | 0917 | 0887 | |||||
46 | 1193 | 1161 | 1130 | 1099 | 1068 | 1037 | 1006 | 0976 | 0946 | 0916 | 0886 | |||||
47 | 1192 | 1161 | 1129 | 1098 | 1067 | 1036 | 1006 | 0976 | 0946 | 0916 | 0886 | |||||
48 | 1192 | 1160 | 1129 | 1098 | 1067 | 1036 | 1005 | 0975 | 0945 | 0915 | 0885 | |||||
49 | 1191 | 1160 | 1128 | 1097 | 1066 | 1035 | 1005 | 0975 | 0945 | 0915 | 0885 | |||||
50 | 1191 | 1159 | 1128 | 1097 | 1066 | 1035 | 1004 | 0974 | 0944 | 0914 | 0884 | |||||
51 | 1190 | 1159 | 1127 | 1096 | 1065 | 1034 | 1004 | 0974 | 0944 | 0914 | 0884 | |||||
52 | 1190 | 1158 | 1127 | 1096 | 1065 | 1034 | 1003 | 0973 | 0943 | 0913 | 0883 | |||||
53 | 1189 | 1158 | 1126 | 1095 | 1064 | 1033 | 1003 | 0973 | 0943 | 0913 | 0883 | |||||
54 | 1189 | 1157 | 1126 | 1095 | 1064 | 1033 | 1002 | 0972 | 0942 | 0912 | 0883 | |||||
55 | 1188 | 1157 | 1125 | 1094 | 1063 | 1032 | 1002 | 0972 | 0942 | 0912 | 0882 | |||||
56 | 1188 | 1156 | 1125 | 1094 | 1063 | 1032 | 1001 | 0971 | 0941 | 0911 | 0882 | |||||
57 | 1187 | 1156 | 1124 | 1093 | 1062 | 1031 | 1001 | 0971 | 0941 | 0911 | 0881 | |||||
58 | 1187 | 1155 | 1124 | 1092 | 1062 | 1031 | 1000 | 0970 | 0940 | 0910 | 0881 | |||||
59 | 1186 | 1154 | 1123 | 1092 | 1061 | 1030 | 1000 | 0970 | 0940 | 0910 | 0880 | |||||
60 | 1186 | 1154 | 1123 | 1091 | 1061 | 1030 | 0999 | 0969 | 0939 | 0909 | 0880 |
[page] 53
TABLE XV. Proportional Logarithms. | |||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. |
2° 27′ | 2° 28′ | 2° 29′ | 2° 30′ | 2° 31′ | 2° 32′ | 2° 33′ | 2° 34′ | 2° 35′ | 2° 36′ | 2° 37′ | |
0 | 0880 | 0850 | 0821 | 0792 | 0763 | 0734 | 0706 | 0678 | 0649 | 0621 | 0594 |
1 | 0879 | 0850 | 0820 | 0791 | 0762 | 0734 | 0705 | 0677 | 0649 | 0621 | 0593 |
2 | 0879 | 0849 | 0820 | 0791 | 0762 | 0733 | 0705 | 0677 | 0648 | 0621 | 0593 |
3 | 0878 | 0849 | 0819 | 0790 | 0762 | 0733 | 0704 | 0676 | 0648 | 0620 | 0592 |
4 | 0878 | 0848 | 0819 | 0790 | 0761 | 0732 | 0704 | 0676 | 0648 | 0620 | 0592 |
5 | 0877 | 0848 | 0818 | 0789 | 0761 | 0732 | 0703 | 0675 | 0647 | 0619 | 0591 |
6 | 0877 | 0847 | 0818 | 0789 | 0760 | 0731 | 0703 | 0675 | 0647 | 0619 | 0591 |
7 | 0876 | 0847 | 0817 | 0788 | 0760 | 0731 | 0703 | 0674 | 0646 | 0618 | 0591 |
8 | 0876 | 0846 | 0817 | 0788 | 0759 | 0730 | 0702 | 0674 | 0646 | 0618 | 0590 |
9 | 0875 | 0846 | 0816 | 0787 | 0759 | 0730 | 0702 | 0673 | 0645 | 0617 | 0590 |
10 | 0875 | 0845 | 0816 | 0787 | 0758 | 0730 | 0701 | 0673 | 0645 | 0617 | 0589 |
11 | 0874 | 0845 | 0816 | 0787 | 0758 | 0729 | 0701 | 0672 | 0644 | 0616 | 0589 |
12 | 0874 | 0844 | 0815 | 0786 | 0757 | 0729 | 0700 | 0672 | 0644 | 0616 | 0588 |
13 | 0873 | 0844 | 0815 | 0786 | 0757 | 0728 | 0700 | 0671 | 0643 | 0615 | 0588 |
14 | 0873 | 0843 | 0814 | 0785 | 0756 | 0728 | 0699 | 0671 | 0643 | 0615 | 0587 |
15 | 0872 | 0843 | 0814 | 0785 | 0756 | 0727 | 0699 | 0670 | 0642 | 0615 | 0587 |
16 | 0872 | 0842 | 0813 | 0784 | 0755 | 0727 | 0698 | 0670 | 0642 | 0614 | 0586 |
17 | 0871 | 0842 | 0813 | 0784 | 0755 | 0726 | 0698 | 0670 | 0641 | 0614 | 0586 |
18 | 0871 | 0841 | 0812 | 0783 | 0754 | 0726 | 0697 | 0669 | 0641 | 0613 | 0585 |
19 | 0870 | 0841 | 0812 | 0783 | 0754 | 0725 | 0697 | 0669 | 0641 | 0613 | 0585 |
20 | 0870 | 0840 | 0811 | 0782 | 0753 | 0725 | 0696 | 0668 | 0640 | 0612 | 0585 |
21 | 0869 | 0840 | 0811 | 0782 | 0753 | 0724 | 0696 | 0668 | 0640 | 0612 | 0584 |
22 | 0869 | 0839 | 0810 | 0781 | 0752 | 0724 | 0695 | 0667 | 0639 | 0611 | 0584 |
23 | 0868 | 0839 | 0810 | 0781 | 0752 | 0723 | 0695 | 0667 | 0639 | 0611 | 0583 |
24 | 0868 | 0838 | 0809 | 0780 | 0751 | 0723 | 0695 | 0666 | 0638 | 0610 | 0583 |
25 | 0867 | 0838 | 0809 | 0780 | 0751 | 0722 | 0694 | 0666 | 0638 | 0610 | 0582 |
26 | 0867 | 0837 | 0808 | 0779 | 0751 | 0722 | 0694 | 0665 | 0637 | 0609 | 0582 |
27 | 0866 | 0837 | 0808 | 0779 | 0750 | 0721 | 0693 | 0665 | 0637 | 0609 | 0581 |
28 | 0866 | 0836 | 0807 | 0778 | 0750 | 0721 | 0693 | 0664 | 0636 | 0609 | 0581 |
29 | 0865 | 0836 | 0807 | 0778 | 0749 | 0721 | 0692 | 0664 | 0636 | 0608 | 0580 |
30 | 0865 | 0835 | 0806 | 0777 | 0749 | 0720 | 0692 | 0663 | 0635 | 0608 | 0580 |
31 | 0864 | 0835 | 0806 | 0777 | 0748 | 0720 | 0691 | 0663 | 0635 | 0607 | 0579 |
32 | 0864 | 0834 | 0805 | 0776 | 0748 | 0719 | 0691 | 0663 | 0635 | 0607 | 0579 |
33 | 0863 | 0834 | 0805 | 0776 | 0747 | 0719 | 0690 | 0662 | 0634 | 0606 | 0579 |
34 | 0863 | 0834 | 0804 | 0775 | 0747 | 0718 | 0690 | 0662 | 0634 | 0606 | 0578 |
35 | 0862 | 0833 | 0804 | 0775 | 0746 | 0718 | 0689 | 0661 | 0633 | 0605 | 0578 |
36 | 0862 | 0833 | 0803 | 0774 | 0746 | 0717 | 0689 | 0661 | 0633 | 0605 | 0577 |
37 | 0861 | 0832 | 0803 | 0774 | 0745 | 0717 | 0688 | 0660 | 0632 | 0604 | 0577 |
38 | 0861 | 0832 | 0802 | 0774 | 0745 | 0716 | 0688 | 0660 | 0632 | 0604 | 0576 |
39 | 0860 | 0831 | 0802 | 0773 | 0744 | 0716 | 0687 | 0659 | 0631 | 0603 | 0576 |
40 | 0860 | 0831 | 0801 | 0773 | 0744 | 0715 | 0687 | 0659 | 0631 | 0603 | 0575 |
41 | 0859 | 0830 | 0801 | 0772 | 0743 | 0715 | 0686 | 0658 | 0630 | 0602 | 0575 |
42 | 0859 | 0830 | 0801 | 0772 | 0743 | 0714 | 0686 | 0658 | 0630 | 0602 | 0574 |
43 | 0858 | 0829 | 0800 | 0771 | 0742 | 0714 | 0686 | 0657 | 0629 | 0602 | 0574 |
44 | 0858 | 0829 | 0800 | 0771 | 0742 | 0713 | 0685 | 0657 | 0629 | 0601 | 0573 |
45 | 0857 | 0828 | 0799 | 0770 | 0741 | 0713 | 0685 | 0656 | 0628 | 0601 | 0573 |
46 | 0857 | 0828 | 0799 | 0770 | 0741 | 0712 | 0684 | 0656 | 0628 | 0600 | 0573 |
47 | 0856 | 0827 | 0798 | 0769 | 0740 | 0712 | 0684 | 0655 | 0628 | 0600 | 0572 |
48 | 0856 | 0827 | 0798 | 0769 | 0740 | 0711 | 0683 | 0655 | 0627 | 0599 | 0572 |
49 | 0855 | 0826 | 0797 | 0768 | 0740 | 0711 | 0683 | 0655 | 0627 | 0599 | 0571 |
50 | 0855 | 0826 | 0797 | 0768 | 0739 | 0711 | 0682 | 0654 | 0626 | 0598 | 0571 |
51 | 0855 | 0825 | 0796 | 0767 | 0739 | 0710 | 0682 | 0654 | 0626 | 0598 | 0570 |
52 | 0854 | 0825 | 0796 | 0767 | 0738 | 0710 | 0681 | 0653 | 0625 | 0597 | 0570 |
53 | 0854 | 0824 | 0795 | 0766 | 0738 | 0709 | 0681 | 0653 | 0625 | 0597 | 0569 |
54 | 0853 | 0824 | 0795 | 0766 | 0737 | 0709 | 0680 | 0652 | 0624 | 0596 | 0569 |
55 | 0853 | 0823 | 0794 | 0765 | 0737 | 0708 | 0680 | 0652 | 0624 | 0596 | 0568 |
56 | 0852 | 0823 | 0794 | 0765 | 0736 | 0708 | 0679 | 0651 | 0623 | 0596 | 0568 |
57 | 0852 | 0822 | 0793 | 0764 | 0736 | 0707 | 0679 | 0651 | 0623 | 0595 | 0568 |
58 | 0851 | 0822 | 0793 | 0764 | 0735 | 0707 | 0678 | 0650 | 0622 | 0595 | 0567 |
59 | 0851 | 0821 | 0792 | 0763 | 0735 | 0706 | 0678 | 0650 | 0622 | 0594 | 0567 |
60 | 0850 | 0821 | 0792 | 0763 | 0734 | 0706 | 0678 | 0649 | 0621 | 0594 | 0566 |
[page] 54
TABLE XV. Proportional Logarithms. | |||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. |
2° 38′ | 2° 39′ | 2° 40′ | 2° 41′ | 2° 42′ | 2° 43′ | 2° 44′ | 2° 45′ | 2° 46′ | 2° 47′ | 2° 48′ | |
0 | 0566 | 0539 | 0512 | 0484 | 0458 | 0431 | 0404 | 0378 | 0352 | 0326 | 0300 |
1 | 0566 | 0538 | 0511 | 0484 | 0457 | 0430 | 0404 | 0377 | 0351 | 0325 | 0299 |
2 | 0565 | 0538 | 0511 | 0484 | 0457 | 0430 | 0403 | 0377 | 0351 | 0325 | 0299 |
3 | 0565 | 0537 | 0510 | 0483 | 0456 | 0430 | 0403 | 0377 | 0350 | 0324 | 0298 |
4 | 0564 | 0537 | 0510 | 0483 | 0456 | 0429 | 0403 | 0376 | 0350 | 0324 | 0298 |
5 | 0564 | 0536 | 0509 | 0482 | 0455 | 0429 | 0402 | 0376 | 0349 | 0323 | 0297 |
6 | 0563 | 0536 | 0509 | 0482 | 0455 | 0428 | 0402 | 0375 | 0349 | 0323 | 0297 |
7 | 0563 | 0536 | 0508 | 0481 | 0454 | 0428 | 0401 | 0375 | 0349 | 0323 | 0297 |
8 | 0562 | 0535 | 0508 | 0481 | 0454 | 0427 | 0401 | 0374 | 0348 | 0322 | 0296 |
9 | 0562 | 0535 | 0507 | 0480 | 0454 | 0427 | 0400 | 0374 | 0348 | 0322 | 0296 |
10 | 0562 | 0534 | 0507 | 0480 | 0453 | 0426 | 0400 | 0374 | 0347 | 0321 | 0295 |
11 | 0561 | 0534 | 0507 | 0480 | 0453 | 0426 | 0399 | 0373 | 0347 | 0321 | 0295 |
12 | 0561 | 0533 | 0506 | 0479 | 0452 | 0426 | 0399 | 0373 | 0346 | 0320 | 0294 |
13 | 0560 | 0533 | 0506 | 0479 | 0452 | 0425 | 0399 | 0372 | 0346 | 0320 | 0294 |
14 | 0560 | 0532 | 0505 | 0478 | 0451 | 0425 | 0398 | 0372 | 0346 | 0319 | 0294 |
15 | 0559 | 0532 | 0505 | 0478 | 0451 | 0424 | 0398 | 0371 | 0345 | 0319 | 0293 |
16 | 0559 | 0531 | 0504 | 0477 | 0450 | 0424 | 0397 | 0371 | 0345 | 0319 | 0293 |
17 | 0558 | 0531 | 0504 | 0477 | 0450 | 0423 | 0397 | 0370 | 0344 | 0318 | 0292 |
18 | 0558 | 0531 | 0503 | 0476 | 0450 | 0423 | 0396 | 0370 | 0344 | 0318 | 0292 |
19 | 0557 | 0530 | 0503 | 0476 | 0449 | 0422 | 0396 | 0370 | 0343 | 0317 | 0291 |
20 | 0557 | 0530 | 0502 | 0475 | 0449 | 0422 | 0395 | 0369 | 0343 | 0317 | 0291 |
21 | 0557 | 0529 | 0502 | 0475 | 0448 | 0422 | 0395 | 0369 | 0342 | 0316 | 0291 |
22 | 0556 | 0529 | 0502 | 0475 | 0448 | 0421 | 0395 | 0368 | 0342 | 0316 | 0290 |
23 | 0556 | 0528 | 0501 | 0474 | 0447 | 0421 | 0394 | 0368 | 0342 | 0316 | 0290 |
24 | 0555 | 0528 | 0501 | 0474 | 0447 | 0420 | 0394 | 0367 | 0341 | 0315 | 0289 |
25 | 0555 | 0527 | 0500 | 0473 | 0446 | 0420 | 0393 | 0367 | 0341 | 0315 | 0288 |
26 | 0554 | 0527 | 0500 | 0473 | 0446 | 0419 | 0393 | 0366 | 0340 | 0314 | 0288 |
27 | 0554 | 0526 | 0499 | 0472 | 0446 | 0419 | 0392 | 0366 | 0340 | 0314 | 0288 |
28 | 0553 | 0526 | 0499 | 0472 | 0445 | 0418 | 0392 | 0366 | 0339 | 0313 | 0288 |
29 | 0553 | 0526 | 0498 | 0471 | 0445 | 0418 | 0391 | 0365 | 0339 | 0313 | 0287 |
30 | 0552 | 0525 | 0498 | 0471 | 0444 | 0418 | 0391 | 0365 | 0339 | 0313 | 0287 |
31 | 0552 | 0525 | 0498 | 0471 | 0444 | 0417 | 0391 | 0364 | 0338 | 0312 | 0286 |
32 | 0552 | 0524 | 0497 | 0470 | 0443 | 0417 | 0390 | 0364 | 0338 | 0312 | 0286 |
33 | 0551 | 0524 | 0497 | 0470 | 0443 | 0416 | 0390 | 0363 | 0337 | 0311 | 0285 |
34 | 0551 | 0523 | 0496 | 0469 | 0442 | 0416 | 0389 | 0363 | 0337 | 0311 | 0285 |
35 | 0550 | 0523 | 0496 | 0469 | 0442 | 0415 | 0389 | 0363 | 0336 | 0310 | 0285 |
36 | 0550 | 0522 | 0495 | 0468 | 0442 | 0415 | 0388 | 0362 | 0336 | 0310 | 0284 |
37 | 0549 | 0522 | 0495 | 0468 | 0441 | 0414 | 0388 | 0362 | 0336 | 0310 | 0284 |
38 | 0549 | 0521 | 0494 | 0467 | 0441 | 0414 | 0388 | 0361 | 0335 | 0309 | 0283 |
39 | 0548 | 0521 | 0494 | 0467 | 0440 | 0414 | 0387 | 0361 | 0335 | 0309 | 0283 |
40 | 0548 | 0521 | 0493 | 0467 | 0440 | 0413 | 0387 | 0360 | 0334 | 0308 | 0282 |
41 | 0547 | 0520 | 0493 | 0466 | 0439 | 0413 | 0386 | 0360 | 0334 | 0308 | 0282 |
42 | 0547 | 0520 | 0493 | 0466 | 0439 | 0412 | 0386 | 0360 | 0333 | 0307 | 0282 |
43 | 0546 | 0519 | 0492 | 0465 | 0438 | 0412 | 0385 | 0359 | 0333 | 0307 | 0281 |
44 | 0546 | 0519 | 0492 | 0465 | 0438 | 0411 | 0385 | 0359 | 0333 | 0307 | 0281 |
45 | 0546 | 0518 | 0491 | 0464 | 0438 | 0411 | 0384 | 0358 | 0332 | 0306 | 0280 |
46 | 0545 | 0518 | 0491 | 0464 | 0437 | 0410 | 0384 | 0358 | 0332 | 0306 | 0280 |
47 | 0545 | 0517 | 0490 | 0463 | 0437 | 0410 | 0384 | 0357 | 0331 | 0305 | 0279 |
48 | 0544 | 0517 | 0490 | 0463 | 0436 | 0410 | 0383 | 0357 | 0331 | 0305 | 0279 |
49 | 0544 | 0517 | 0489 | 0462 | 0436 | 0409 | 0383 | 0356 | 0330 | 0304 | 0279 |
50 | 0543 | 0516 | 0489 | 0462 | 0435 | 0409 | 0382 | 0356 | 0330 | 0304 | 0278 |
51 | 0543 | 0516 | 0489 | 0462 | 0435 | 0408 | 0382 | 0356 | 0329 | 0304 | 0278 |
52 | 0542 | 0515 | 0488 | 0461 | 0434 | 0408 | 0381 | 0355 | 0329 | 0303 | 0277 |
53 | 0542 | 0515 | 0488 | 0461 | 0434 | 0407 | 0381 | 0355 | 0329 | 0303 | 0277 |
54 | 0541 | 0514 | 0487 | 0460 | 0434 | 0407 | 0381 | 0354 | 0328 | 0302 | 0276 |
55 | 0541 | 0514 | 0487 | 0460 | 0433 | 0406 | 0380 | 0354 | 0328 | 0302 | 0276 |
56 | 0541 | 0513 | 0486 | 0459 | 0433 | 0406 | 0380 | 0353 | 0327 | 0301 | 0276 |
57 | 0540 | 0513 | 0486 | 0459 | 0432 | 0406 | 0379 | 0353 | 0327 | 0301 | 0275 |
58 | 0540 | 0512 | 0485 | 0458 | 0432 | 0405 | 0379 | 0353 | 0326 | 0300 | 0275 |
59 | 0539 | 0512 | 0485 | 0458 | 0431 | 0405 | 0378 | 0352 | 0326 | 0300 | 0274 |
60 | 0539 | 0512 | 0484 | 0458 | 0431 | 0404 | 0378 | 0352 | 0326 | 0300 | 0274 |
[page] 55
TABLE XV. Proportional Logarithms. | |||||||||||
S | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. | h. m. |
2° 49′ | 2° 50′ | 2° 51′ | 2° 52′ | 2° 53′ | 2° 54′ | 2° 55′ | 2° 56′ | 2° 57′ | 2° 58′ | 2° 59′ | |
0 | 0274 | 0248 | 0223 | 0197 | 0172 | 0147 | 0122 | 0098 | 0073 | 0049 | 0024 |
1 | 0273 | 0248 | 0222 | 0197 | 0172 | 0147 | 0122 | 0097 | 0073 | 0048 | 0024 |
2 | 0273 | 0247 | 0222 | 0197 | 0171 | 0146 | 0122 | 0097 | 0072 | 0048 | 0023 |
3 | 0273 | 0247 | 0221 | 0196 | 0171 | 0146 | 0121 | 0096 | 0072 | 0047 | 0023 |
4 | 0272 | 0247 | 0221 | 0196 | 0171 | 0146 | 0121 | 0096 | 0071 | 0047 | 0023 |
5 | 0272 | 0246 | 0221 | 0195 | 0170 | 0145 | 0120 | 0096 | 0071 | 0046 | 0022 |
6 | 0271 | 0246 | 0220 | 0195 | 0170 | 0145 | 0120 | 0095 | 0071 | 0046 | 0022 |
7 | 0271 | 0245 | 0220 | 0194 | 0169 | 0144 | 0119 | 0095 | 0070 | 0046 | 0021 |
8 | 0270 | 0245 | 0219 | 0194 | 0169 | 0144 | 0119 | 0094 | 0070 | 0045 | 0021 |
9 | 0270 | 0244 | 0219 | 0194 | 0169 | 0143 | 0119 | 0094 | 0069 | 0045 | 0021 |
10 | 0270 | 0244 | 0219 | 0193 | 0168 | 0143 | 0118 | 0093 | 0069 | 0044 | 0020 |
11 | 0269 | 0244 | 0218 | 0193 | 0168 | 0143 | 0118 | 0093 | 0068 | 0044 | 0020 |
12 | 0269 | 0243 | 0218 | 0192 | 0167 | 0142 | 0117 | 0093 | 0068 | 0044 | 0019 |
13 | 0268 | 0243 | 0219 | 0192 | 0167 | 0142 | 0117 | 0092 | 0068 | 0043 | 0019 |
14 | 0268 | 0242 | 0217 | 0192 | 0166 | 0141 | 0117 | 0092 | 0067 | 0043 | 0019 |
15 | 0267 | 0242 | 0216 | 0191 | 0166 | 0141 | 0116 | 0091 | 0067 | 0042 | 0018 |
16 | 0267 | 0241 | 0216 | 0191 | 0166 | 0141 | 0116 | 0091 | 0066 | 0042 | 0018 |
17 | 0267 | 0241 | 0216 | 0190 | 0165 | 0140 | 0115 | 0091 | 0066 | 0042 | 0017 |
18 | 0266 | 0241 | 0215 | 0190 | 0165 | 0140 | 0115 | 0090 | 0066 | 0041 | 0017 |
19 | 0266 | 0240 | 0215 | 0189 | 0164 | 0139 | 0114 | 0090 | 0065 | 0041 | 0017 |
20 | 0265 | 0240 | 0214 | 0189 | 0164 | 0139 | 0114 | 0089 | 0065 | 0040 | 0016 |
21 | 0265 | 0239 | 0214 | 0189 | 0163 | 0139 | 0114 | 0089 | 0064 | 0040 | 0016 |
22 | 0264 | 0239 | 0213 | 0188 | 0163 | 0138 | 0113 | 0089 | 0064 | 0040 | 0015 |
23 | 0264 | 0238 | 0213 | 0188 | 0163 | 0138 | 0113 | 0088 | 0064 | 0039 | 0015 |
24 | 0264 | 0238 | 0213 | 0187 | 0162 | 0137 | 0112 | 0088 | 0063 | 0039 | 0015 |
25 | 0263 | 0238 | 0212 | 0187 | 0161 | 0137 | 0112 | 0087 | 0063 | 0038 | 0014 |
26 | 0263 | 0237 | 0212 | 0187 | 0161 | 0136 | 0112 | 0087 | 0062 | 0038 | 0014 |
27 | 0262 | 0237 | 0211 | 0186 | 0161 | 0136 | 0111 | 0087 | 0062 | 0038 | 0013 |
28 | 0262 | 0236 | 0211 | 0186 | 0161 | 0136 | 0111 | 0086 | 0662 | 0037 | 0013 |
29 | 0261 | 0236 | 0211 | 0185 | 0160 | 0135 | 0110 | 0086 | 0061 | 0037 | 0012 |
30 | 0261 | 0235 | 0210 | 0185 | 0160 | 0135 | 0110 | 0085 | 0061 | 0036 | 0012 |
31 | 0261 | 0235 | 0210 | 0184 | 0159 | 0134 | 0110 | 0085 | 0060 | 0036 | 0012 |
32 | 0260 | 0235 | 0209 | 0184 | 0159 | 0134 | 0109 | 0084 | 0060 | 0036 | 0011 |
33 | 0260 | 0234 | 0209 | 0184 | 0158 | 0134 | 0109 | 0084 | 0060 | 0035 | 0011 |
34 | 0259 | 0234 | 0208 | 0183 | 0158 | 0133 | 0108 | 0084 | 0059 | 0035 | 0010 |
35 | 0259 | 0233 | 0208 | 0183 | 0158 | 0133 | 0108 | 0083 | 0059 | 0034 | 0010 |
36 | 0258 | 0233 | 0208 | 0182 | 0157 | 0132 | 0107 | 0083 | 0058 | 0034 | 0010 |
37 | 0258 | 0233 | 0207 | 0182 | 0157 | 0132 | 0107 | 0082 | 0058 | 0034 | 0009 |
38 | 0258 | 0232 | 0207 | 0181 | 0156 | 0131 | 0107 | 0082 | 0057 | 0033 | 0009 |
39 | 0257 | 0232 | 0206 | 0181 | 0156 | 0131 | 0106 | 0082 | 0057 | 0033 | 0008 |
40 | 0257 | 0231 | 0206 | 0181 | 0156 | 0131 | 0106 | 0081 | 0057 | 0032 | 0008 |
41 | 0256 | 0231 | 0205 | 0180 | 0155 | 0130 | 0105 | 0081 | 0056 | 0032 | 0008 |
42 | 0256 | 0230 | 0205 | 0180 | 0155 | 0130 | 0105 | 0080 | 0056 | 0031 | 0007 |
43 | 0255 | 0230 | 0205 | 0179 | 0154 | 0129 | 0105 | 0080 | 0055 | 0031 | 0007 |
44 | 0255 | 0230 | 0204 | 0179 | 0154 | 0129 | 0104 | 0080 | 0055 | 0031 | 0006 |
45 | 0255 | 0229 | 0204 | 0179 | 0153 | 0129 | 0104 | 0079 | 0055 | 0030 | 0006 |
46 | 0254 | 0229 | 0203 | 0178 | 0153 | 0128 | 0103 | 0079 | 0054 | 0030 | 0006 |
47 | 0254 | 0228 | 0203 | 0178 | 0153 | 0128 | 0103 | 0078 | 0054 | 0029 | 0005 |
48 | 0253 | 0228 | 0202 | 0177 | 0152 | 0127 | 0103 | 0078 | 0053 | 0029 | 0005 |
49 | 0253 | 0227 | 0202 | 0177 | 0152 | 0127 | 0102 | 0077 | 0053 | 0029 | 0004 |
50 | 0252 | 0227 | 0202 | 0176 | 0151 | 0126 | 0102 | 0077 | 0053 | 0028 | 0004 |
51 | 0252 | 0227 | 0201 | 0176 | 0151 | 0126 | 0101 | 0077 | 0052 | 0028 | 0004 |
52 | 0252 | 0226 | 0201 | 0176 | 0151 | 0126 | 0101 | 0076 | 0052 | 0027 | 0003 |
53 | 0251 | 0226 | 0200 | 0175 | 0150 | 0125 | 0100 | 0076 | 0051 | 0027 | 0003 |
54 | 0251 | 0225 | 0200 | 0175 | 0150 | 0125 | 0100 | 0075 | 0051 | 0027 | 0002 |
55 | 0250 | 0225 | 0200 | 0174 | 0149 | 0124 | 0100 | 0075 | 0051 | 0026 | 0002 |
56 | 0250 | 0224 | 0199 | 0174 | 0149 | 0124 | 0099 | 0075 | 0050 | 0026 | 0002 |
57 | 0250 | 0224 | 0199 | 0174 | 0148 | 0124 | 0099 | 0074 | 0050 | 0025 | 0001 |
58 | 0249 | 0224 | 0198 | 0173 | 0148 | 0123 | 0098 | 0074 | 0049 | 0025 | 0001 |
59 | 0249 | 0223 | 0198 | 0173 | 0148 | 0123 | 0098 | 0073 | 0049 | 0025 | 0000 |
60 | 0248 | 0223 | 0197 | 0172 | 0147 | 0122 | 0098 | 0073 | 0049 | 0024 | 0000 |
[page 56]
[page 57]
FOR COMPUTING
THE LATITUDE OF A SHIP AT SEA,
HAVING THE LATITUDE BY ACCOUNT
TWO OBSERVED ALTITUDES OF THE SUN,
THE TIME ELAPSED BETWEEN THE OBSERVATIONS MEASURED BY A COMMON WATCH,
AND THE
H
[page] 58
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
0 HOUR. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
0 | 0 | 10 | 0 | 1.36032 | 3.94071 | 1.97854 | |||
10 | 3.13833 | 2.16270 | 8.42230 | 10 | 1.35315 | 3.94788 | 1.99289 | ||
20 | 2.83730 | 2.46373 | 9.02436 | 20 | 1.34609 | 3.95494 | 2.00699 | ||
30 | 2.66121 | 2.63982 | 9.37654 | 30 | 1.33915 | 3.96188 | 2.02091 | ||
40 | 2.53627 | 2.76476 | 9.62642 | 40 | 1.33231 | 3.96872 | 2.03458 | ||
50 | 2.43936 | 2.86167 | 9.82024 | 50 | 1.32558 | 3.97545 | 2.04805 | ||
1 | 0 | 2.36013 | 2.94085 | 9.97860 | 11 | 0 | 1.31896 | 3.98207 | 2.06131 |
10 | 2.29324 | 3.00779 | 0.11250 | 10 | 1.31243 | 3.98860 | 2.07437 | ||
20 | 2.23525 | 3.06578 | 0.22848 | 20 | 1.30600 | 3.99503 | 2.08723 | ||
30 | 2.18409 | 3.11694 | 0.33079 | 30 | 1.29967 | 4.00136 | 2.09991 | ||
40 | 2.13834 | 3.16269 | 0.42230 | 40 | 1.29342 | 4.00761 | 2.11240 | ||
50 | 2.09695 | 3.20408 | 0.50509 | 50 | 1.28727 | 4.01376 | 2.12472 | ||
2 | 0 | 2.05916 | 3.24187 | 0.58066 | 12 | 0 | 1.28120 | 4.01983 | 2.13687 |
10 | 2.02440 | 3.27663 | 0.65019 | 10 | 1.27522 | 4.02581 | 2.14885 | ||
20 | 1.99221 | 3.30882 | 0.71455 | 20 | 1.26931 | 4.03172 | 2.16066 | ||
30 | 1.96225 | 3.33878 | 0.77448 | 30 | 1.26349 | 4.03754 | 2.17223 | ||
40 | 1.93422 | 3.36681 | 0.83054 | 40 | 1.25774 | 4.04329 | 2.18382 | ||
50 | 1.90790 | 3.39313 | 0.88319 | 50 | 1.25207 | 4.04896 | 2.19517 | ||
3 | 0 | 1.88307 | 3.41796 | 0.93284 | 13 | 0 | 1.24647 | 4.05456 | 2.20638 |
10 | 1.85959 | 3.44144 | 0.97980 | 10 | 1.24095 | 4.06008 | 2.21744 | ||
20 | 1.83732 | 3.46371 | 1.02435 | 20 | 1.23549 | 4.06554 | 2.22836 | ||
30 | 1.81613 | 3.48490 | 1.06673 | 30 | 1.23010 | 4.07093 | 2.23915 | ||
40 | 1.79593 | 3.50510 | 1.10714 | 40 | 1.22477 | 4.07626 | 2.24980 | ||
50 | 1.77663 | 3.52440 | 1.14575 | 50 | 1.21952 | 4.08251 | 2.26033 | ||
4 | 0 | 1.75814 | 3.54289 | 1.18271 | 14 | 0 | 1.21432 | 4.08671 | 2.27073 |
10 | 1.74042 | 3.56061 | 1.21817 | 10 | 1.20919 | 4.09184 | 2.28100 | ||
20 | 1.72339 | 3.57764 | 1.25224 | 20 | 1.20412 | 4.09691 | 2.29116 | ||
30 | 1.70700 | 3.59403 | 1.28502 | 30 | 1.19910 | 4.10193 | 2.30120 | ||
40 | 1.69121 | 3.60982 | 1.31660 | 40 | 1.19415 | 4.10688 | 2.31112 | ||
50 | 1.67597 | 3.62506 | 1.34708 | 50 | 1.18925 | 4.11178 | 2.32093 | ||
5 | 0 | 1.66125 | 3.63978 | 1.37653 | 15 | 0 | 1.18440 | 4.11663 | 2.33063 |
10 | 1.64701 | 3.65402 | 1.40501 | 10 | 1.17961 | 4.12142 | 2.34023 | ||
20 | 1.63322 | 3.66781 | 1.43258 | 20 | 1.17487 | 4.12616 | 2.34972 | ||
30 | 1.61986 | 3.68117 | 1.45931 | 30 | 1.17018 | 4.13085 | 2.35910 | ||
40 | 1.60690 | 3.69413 | 1.48524 | 40 | 1.16554 | 4.13549 | 2.36839 | ||
50 | 1.59431 | 3.70672 | 1.51041 | 50 | 1.16096 | 4.14007 | 2.37758 | ||
6 | 0 | 1.58208 | 3.71895 | 1.53488 | 16 | 0 | 1.15642 | 4.14461 | 2.38667 |
10 | 1.57018 | 3.73085 | 1.55868 | 10 | 1.15192 | 4.14911 | 2.39567 | ||
20 | 1.55861 | 3.74242 | 1.58184 | 20 | 1.14748 | 4.15355 | 2.40457 | ||
30 | 1.54733 | 3.75370 | 1.60440 | 30 | 1.14307 | 4.15796 | 2.41338 | ||
40 | 1.53634 | 3.76469 | 1.62639 | 40 | 1.13872 | 4.16231 | 2.42211 | ||
50 | 1.52561 | 3.77542 | 1.64784 | 50 | 1.13440 | 4.16663 | 2.43075 | ||
7 | 0 | 1.51515 | 3.78588 | 1.66877 | 17 | 0 | 1.13013 | 4.17090 | 2.43930 |
10 | 1.50494 | 3.79609 | 1.68920 | 10 | 1.12590 | 4.17513 | 2.44777 | ||
20 | 1.49496 | 3.80607 | 1.70917 | 20 | 1.12171 | 4.17932 | 2.45616 | ||
30 | 1.48520 | 3.81583 | 1.72869 | 30 | 1.11757 | 4.18346 | 2.46447 | ||
40 | 1.47566 | 3.82537 | 1.74778 | 40 | 1.11346 | 4.18757 | 2.47270 | ||
50 | 1.46632 | 3.83471 | 1.76646 | 50 | 1.10939 | 4.19164 | 2.48085 | ||
8 | 0 | 1.45718 | 3.84385 | 1.78474 | 18 | 0 | 1.10536 | 4.19567 | 2.48893 |
10 | 1.44823 | 3.85280 | 1.80265 | 10 | 1.10136 | 4.19967 | 2.49693 | ||
20 | 1.43946 | 3.86157 | 1.82019 | 20 | 1.09740 | 4.20363 | 2.50486 | ||
30 | 1.43086 | 3.87017 | 1.83739 | 30 | 1.09348 | 4.20755 | 2.51271 | ||
40 | 1.42243 | 3.87860 | 1.85426 | 40 | 1.08960 | 4.21143 | 2.52050 | ||
50 | 1.41417 | 3.88686 | 1.87080 | 50 | 1.08575 | 4.21528 | 2.52821 | ||
9 | 0 | 1.40605 | 3.89498 | 1.88703 | 19 | 0 | 1.08193 | 4.21910 | 2.53586 |
10 | 1.39809 | 3.90294 | 1.90297 | 10 | 1.07814 | 4.22289 | 2.54344 | ||
20 | 1.39027 | 3.91076 | 1.91862 | 20 | 1.07439 | 4.22664 | 2.55096 | ||
30 | 1.38258 | 3.91845 | 1.93399 | 30 | 1.07067 | 4.23036 | 2.55841 | ||
40 | 1.37503 | 3.92600 | 1.94909 | 40 | 1.06698 | 4.23405 | 2.56580 | ||
50 | 1.36762 | 3.93341 | 1.96394 | 50 | 1.06333 | 4.23770 | 2.57312 |
[page] 59
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
0 HOUR. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
20 | 0 | 1.05970 | 4.24133 | 2.58039 | 30 | 0 | 0.88430 | 4.41673 | 2.93223 |
10 | 1.05610 | 4.24493 | 2.58759 | 10 | 0.88191 | 4.41912 | 2.93703 | ||
20 | 1.05254 | 4.24849 | 2.59473 | 20 | 0.87953 | 4.42150 | 2.94181 | ||
30 | 1.04901 | 4.25202 | 2.60182 | 30 | 0.87717 | 4.42386 | 2.94656 | ||
40 | 1.04550 | 4.25553 | 2.60885 | 40 | 0.87481 | 4.42622 | 2.95129 | ||
50 | 1.04202 | 4.25901 | 2.61582 | 50 | 0.87247 | 4.42856 | 2.95599 | ||
21 | 0 | 1.03857 | 4.26246 | 2.62274 | 31 | 0 | 0.87015 | 4.43088 | 2.96067 |
10 | 1.03515 | 4.26588 | 2.62960 | 10 | 0.86783 | 4.43320 | 2.96532 | ||
20 | 1.03175 | 4.26928 | 2.63641 | 20 | 0.86553 | 4.43550 | 2.96994 | ||
30 | 1.02838 | 4.27265 | 2.64316 | 30 | 0.86324 | 4.43779 | 2.97454 | ||
40 | 1.02504 | 4.27599 | 2.64987 | 40 | 0.86096 | 4.44007 | 2.97912 | ||
50 | 1.02172 | 4.27931 | 2.65652 | 50 | 0.85870 | 4.44233 | 2.98367 | ||
22 | 0 | 1.01843 | 4.28260 | 2.66312 | 32 | 0 | 0.85644 | 4.44459 | 2.98820 |
10 | 1.01516 | 4.28587 | 2.66967 | 10 | 0.85420 | 4.44683 | 2.99270 | ||
20 | 1.01192 | 4.28911 | 2.67617 | 20 | 0.85197 | 4.44906 | 2.99718 | ||
30 | 1.00870 | 4.29233 | 2.68262 | 30 | 0.84976 | 4.45127 | 3.00164 | ||
40 | 1.00550 | 4.29553 | 2.68903 | 40 | 0.84755 | 4.45348 | 3.00608 | ||
50 | 1.00233 | 4.29870 | 2.69538 | 50 | 0.84535 | 4.45568 | 3.01049 | ||
23 | 0 | 0.99918 | 4.30185 | 2.70169 | 33 | 0 | 0.84317 | 4.45786 | 3.01488 |
10 | 0.99606 | 4.30497 | 2.70796 | 10 | 0.84100 | 4.46003 | 3.01925 | ||
20 | 0.99296 | 4.30807 | 2.71418 | 20 | 0.83884 | 4.46219 | 3.02360 | ||
30 | 0.98988 | 4.31115 | 2.72036 | 30 | 0.83669 | 4.46434 | 3.02792 | ||
40 | 0.98682 | 4.31421 | 2.72649 | 40 | 0.83455 | 4.46648 | 3.03222 | ||
50 | 0.98378 | 4.31725 | 2.73258 | 50 | 0.83242 | 4.46861 | 3.03650 | ||
24 | 0 | 0.98077 | 4.32026 | 2.73863 | 34 | 0 | 0.83030 | 4.47073 | 3.04077 |
10 | 0.97777 | 4.32326 | 2.74464 | 10 | 0.82819 | 4.47284 | 3.04501 | ||
20 | 0.97480 | 4.32623 | 2.75060 | 20 | 0.82609 | 4.47494 | 3.04922 | ||
30 | 0.97184 | 4.32919 | 2.75652 | 30 | 0.82401 | 4.47702 | 3.05342 | ||
40 | 0.96891 | 4.33212 | 2.76241 | 40 | 0.82193 | 4.47910 | 3.05760 | ||
50 | 0.96600 | 4.33503 | 2.76825 | 50 | 0.81986 | 4.48117 | 3.06176 | ||
25 | 0 | 0.96310 | 4.33793 | 2.77405 | 35 | 0 | 0.81780 | 4.48323 | 3.06590 |
10 | 0.96023 | 4.34080 | 2.77982 | 10 | 0.81576 | 4.48527 | 3.07001 | ||
20 | 0.95738 | 4.34365 | 2.78555 | 20 | 0.81372 | 4.48731 | 3.07411 | ||
30 | 0.95454 | 4.34649 | 2.79124 | 30 | 0.81169 | 4.48934 | 3.07819 | ||
40 | 0.95172 | 4.34931 | 2.79689 | 40 | 0.80967 | 4.49136 | 3.08225 | ||
50 | 0.94892 | 4.35211 | 2.80251 | 50 | 0.80767 | 4.49336 | 3.08630 | ||
26 | 0 | 0.94614 | 4.35489 | 2.80809 | 36 | 0 | 0.80567 | 4.49536 | 3.09032 |
10 | 0.94338 | 4.35765 | 2.81363 | 10 | 0.80368 | 4.49735 | 3.09432 | ||
20 | 0.94063 | 4.36040 | 2.81914 | 20 | 0.80170 | 4.49933 | 3.09830 | ||
30 | 0.93790 | 4.36313 | 2.82461 | 30 | 0.79973 | 4.50130 | 3.10227 | ||
40 | 0.93519 | 4.36584 | 2.83005 | 40 | 0.79777 | 4.50326 | 3.10622 | ||
50 | 0.93250 | 4.36853 | 2.83546 | 50 | 0.79581 | 4.50522 | 3.11015 | ||
27 | 0 | 0.92982 | 4.37121 | 2.84083 | 37 | 0 | 0.79387 | 4.50716 | 3.11406 |
10 | 0.92716 | 4.37387 | 2.84617 | 10 | 0.79193 | 4.50910 | 3.11796 | ||
20 | 0.92452 | 4.37651 | 2.85148 | 20 | 0.79001 | 4.51102 | 3.12184 | ||
30 | 0.92189 | 4.37914 | 2.85675 | 30 | 0.78809 | 4.51294 | 3.12570 | ||
40 | 0.91928 | 4.38175 | 2.86199 | 40 | 0.78618 | 4.51485 | 3.12954 | ||
50 | 0.91669 | 4.38434 | 2.86720 | 50 | 0.78428 | 4.51675 | 3.13337 | ||
28 | 0 | 0.91411 | 4.38692 | 2.87238 | 38 | 0 | 0.78239 | 4.51864 | 3.13718 |
10 | 0.91154 | 4.38949 | 2.87753 | 10 | 0.78051 | 4.52052 | 3.14097 | ||
20 | 0.90899 | 4.39204 | 2.88265 | 20 | 0.77863 | 4.52240 | 3.14475 | ||
30 | 0.90646 | 4.39457 | 2.88773 | 30 | 0.77677 | 4.52426 | 3.14850 | ||
40 | 0.90394 | 4.39709 | 2.89279 | 40 | 0.77491 | 4.52612 | 3.15225 | ||
50 | 0.90143 | 4.39960 | 2.89782 | 50 | 0.77306 | 4.52797 | 3.15597 | ||
29 | 0 | 0.89894 | 4.40209 | 2.90282 | 39 | 0 | 0.77122 | 4.52981 | 3.15969 |
10 | 0.89647 | 4.40456 | 2.90779 | 10 | 0.76938 | 4.53165 | 3.16338 | ||
20 | 0.89401 | 4.40702 | 2.91273 | 20 | 0.76756 | 4.53347 | 3.16706 | ||
30 | 0.89156 | 4.40947 | 2.91765 | 30 | 0.76574 | 4.53529 | 3.17072 | ||
40 | 0.88913 | 4.41190 | 2.92254 | 40 | 0.76393 | 4.53710 | 3.17437 | ||
50 | 0.88671 | 4.41432 | 2.92740 | 50 | 0.76212 | 4.53891 | 3.17800 |
H 2
[page] 60
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
0 HOUR. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
40 | 0 | 0.76033 | 4.54070 | 3.18162 | 50 | 0 | 0.66466 | 4.63637 | 3.37482 |
10 | 0.75854 | 4.54249 | 3.18522 | 10 | 0.66324 | 4.63779 | 3.37770 | ||
20 | 0.75676 | 4.54427 | 3.18881 | 20 | 0.66182 | 4.63921 | 3.38057 | ||
30 | 0.75499 | 4.54604 | 3.19238 | 30 | 0.66041 | 4.64062 | 3.38343 | ||
40 | 0.75323 | 4.54780 | 3.19594 | 40 | 0.65900 | 4.64203 | 3.38628 | ||
50 | 0.75147 | 4.54956 | 3.19948 | 50 | 0.65760 | 4.64343 | 3.38912 | ||
41 | 0 | 0.74972 | 4.55131 | 3.20301 | 51 | 0 | 0.65620 | 4.64483 | 3.39195 |
10 | 0.74797 | 4.55306 | 3.20653 | 10 | 0.65481 | 4.64622 | 3.39477 | ||
20 | 0.74624 | 4.55479 | 3.21003 | 20 | 0.65342 | 4.64761 | 3.39759 | ||
30 | 0.74451 | 4.55652 | 3.21351 | 30 | 0.65204 | 4.64899 | 3.40039 | ||
40 | 0.74279 | 4.55824 | 3.21698 | 40 | 0.65066 | 4.65037 | 3.40318 | ||
50 | 0.74107 | 4.55996 | 3.22044 | 50 | 0.64928 | 4.65175 | 3.40597 | ||
42 | 0 | 0.73937 | 4.56166 | 3.22389 | 52 | 0 | 0.64791 | 4.65312 | 3.40875 |
10 | 0.73767 | 4.56336 | 3.22732 | 10 | 0.64655 | 4.65448 | 3.41151 | ||
20 | 0.73597 | 4.56506 | 3.23073 | 20 | 0.64519 | 4.65584 | 3.41427 | ||
30 | 0.73429 | 4.56674 | 3.23414 | 30 | 0.64383 | 4.65720 | 3.41702 | ||
40 | 0.73261 | 4.56842 | 3.23753 | 40 | 0.64248 | 4.65855 | 3.41976 | ||
50 | 0.73093 | 4.57010 | 3.24090 | 50 | 0.64113 | 4.65990 | 3.42250 | ||
43 | 0 | 0.72926 | 4.57177 | 3.24427 | 53 | 0 | 0.63978 | 4.66125 | 3.42523 |
10 | 0.72760 | 4.57343 | 3.24762 | 10 | 0.63844 | 4.66259 | 3.42794 | ||
20 | 0.72595 | 4.57508 | 3.25095 | 20 | 0.63711 | 4.66392 | 3.43064 | ||
30 | 0.72430 | 4.57673 | 3.25428 | 30 | 0.63578 | 4.66525 | 3.43334 | ||
40 | 0.72266 | 4.57837 | 3.25759 | 40 | 0.63445 | 4.66658 | 3.43603 | ||
50 | 0.72103 | 4.58000 | 3.26089 | 50 | 0.63313 | 4.66790 | 3.43871 | ||
44 | 0 | 0.71940 | 4.58163 | 3.26418 | 54 | 0 | 0.63181 | 4.66922 | 3.44138 |
10 | 0.71778 | 4.58325 | 3.26745 | 10 | 0.63050 | 4.67053 | 3.44404 | ||
20 | 0.71616 | 4.58487 | 3.27072 | 20 | 0.62919 | 4.67184 | 3.44670 | ||
30 | 0.71455 | 4.58648 | 3.27396 | 30 | 0.62789 | 4.67314 | 3.44935 | ||
40 | 0.71295 | 4.58808 | 3.27720 | 40 | 0.62659 | 4.67444 | 3.45199 | ||
50 | 0.71135 | 4.58968 | 3.28042 | 50 | 0.62529 | 4.67574 | 3.45462 | ||
45 | 0 | 0.70976 | 4.59127 | 3.28363 | 55 | 0 | 0.62400 | 4.67703 | 3.45724 |
10 | 0.70818 | 4.59285 | 3.28683 | 10 | 0.62271 | 4.67832 | 3.45986 | ||
20 | 0.70660 | 4.59443 | 3.29002 | 20 | 0.62142 | 4.67961 | 3.46247 | ||
30 | 0.70503 | 4.59600 | 3.29320 | 30 | 0.62014 | 4.68089 | 3.46507 | ||
40 | 0.70346 | 4.59751 | 3.29637 | 40 | 0.61886 | 4.68217 | 3.46765 | ||
50 | 0.70190 | 4.59913 | 3.29952 | 50 | 0.61759 | 4.68344 | 3.47024 | ||
46 | 0 | 0.70034 | 4.60069 | 3.30266 | 56 | 0 | 0.61632 | 4.68471 | 3.47282 |
10 | 0.69879 | 4.60224 | 3.30579 | 10 | 0.61506 | 4.68597 | 3.47539 | ||
20 | 0.69725 | 4.60378 | 3.30891 | 20 | 0.61380 | 4.68723 | 3.47795 | ||
30 | 0.69571 | 4.60532 | 3.31202 | 30 | 0.61254 | 4.68849 | 3.48050 | ||
40 | 0.69418 | 4.60685 | 3.31512 | 40 | 0.61129 | 4.68974 | 3.48305 | ||
50 | 0.69265 | 4.60838 | 3.31820 | 50 | 0.61004 | 4.69099 | 3.48558 | ||
47 | 0 | 0.69113 | 4.60990 | 3.32128 | 57 | 0 | 0.60879 | 4.69224 | 3.48811 |
10 | 0.68962 | 4.61141 | 3.32434 | 10 | 0.60755 | 4.69348 | 3.49064 | ||
20 | 0.68811 | 4.61292 | 3.32739 | 20 | 0.60631 | 4.69472 | 3.49315 | ||
30 | 0.68660 | 4.61443 | 3.33044 | 30 | 0.60508 | 4.69595 | 3.49566 | ||
40 | 0.68510 | 4.61593 | 3.33347 | 40 | 0.60385 | 4.69718 | 3.49816 | ||
50 | 0.68361 | 4.61742 | 3.33649 | 50 | 0.60262 | 4.69841 | 3.50066 | ||
48 | 0 | 0.68212 | 4.61891 | 3.33950 | 58 | 0 | 0.60140 | 4.69963 | 3.50314 |
10 | 0.68064 | 4.62039 | 3.34250 | 10 | 0.60018 | 4.70085 | 3.50562 | ||
20 | 0.67916 | 4.62187 | 3.34549 | 20 | 0.59896 | 4.70207 | 3.50809 | ||
30 | 0.67769 | 4.62334 | 3.34847 | 30 | 0.59775 | 4.70328 | 3.51056 | ||
40 | 0.67622 | 4.62481 | 3.35144 | 40 | 0.59654 | 4.70449 | 3.51301 | ||
50 | 0.67476 | 4.62627 | 3.35439 | 50 | 0.59534 | 4.70569 | 3.51547 | ||
49 | 0 | 0.67330 | 4.62773 | 3.35734 | 59 | 0 | 0.59414 | 4.70689 | 3.51791 |
10 | 0.67185 | 4.62918 | 3.36028 | 10 | 0.59294 | 4.70809 | 3.52035 | ||
20 | 0.67040 | 4.63063 | 3.36321 | 20 | 0.59175 | 4.70928 | 3.52278 | ||
30 | 0.66896 | 4.63207 | 3.36613 | 30 | 0.59056 | 4.71047 | 3.52520 | ||
40 | 0.66752 | 4.63351 | 3.36903 | 40 | 0.58937 | 4.71166 | 3.52761 | ||
50 | 0.66609 | 4.63494 | 3.37193 | 50 | 0.58818 | 4.71285 | 3.53002 |
[page] 61
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
1 HOUR. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
0 | 0 | 0.58700 | 4.71403 | 3.53243 | 10 | 0 | 0.52186 | 4.77917 | 3.66542 |
10 | 0.58582 | 4.71521 | 3.53482 | 10 | 0.52086 | 4.78017 | 3.66747 | ||
20 | 0.58465 | 4.71638 | 3.53721 | 20 | 0.51986 | 4.78117 | 3.66952 | ||
30 | 0.58348 | 4.71755 | 3.53959 | 30 | 0.51886 | 4.78217 | 3.67156 | ||
40 | 0.58231 | 4.71872 | 3.54197 | 40 | 0.51787 | 4.78316 | 3.67359 | ||
50 | 0.58115 | 4.71988 | 3.54434 | 50 | 0.51688 | 4.78415 | 3.67562 | ||
1 | 0 | 0.57999 | 4.72104 | 3.54670 | 11 | 0 | 0.51589 | 4.78514 | 3.67765 |
10 | 0.57883 | 4.72220 | 3.54905 | 10 | 0.51490 | 4.78613 | 3.67967 | ||
20 | 0.57768 | 4.72335 | 3.55140 | 20 | 0.51392 | 4.78711 | 3.68168 | ||
30 | 0.57653 | 4.72450 | 3.55375 | 30 | 0.51294 | 4.78809 | 3.68369 | ||
40 | 0.57538 | 4.72565 | 3.55608 | 40 | 0.51196 | 4.78907 | 3.68570 | ||
50 | 0.57424 | 4.72670 | 3.55841 | 50 | 0.51099 | 4.79004 | 3.68770 | ||
2 | 0 | 0.57310 | 4.72793 | 3.56074 | 12 | 0 | 0.51002 | 4.79101 | 3.68969 |
10 | 0.57196 | 4.72907 | 3.56306 | 10 | 0.50905 | 4.79198 | 3.69169 | ||
20 | 0.57083 | 4.73020 | 3.56537 | 20 | 0.50808 | 4.79295 | 3.69367 | ||
30 | 0.56970 | 4.73133 | 3.56767 | 30 | 0.50711 | 4.79392 | 3.69566 | ||
40 | 0.56857 | 4.73246 | 3.56997 | 40 | 0.50615 | 4.79488 | 3.69763 | ||
50 | 0.56745 | 4.73358 | 3.57226 | 50 | 0.50519 | 4.79584 | 3.69961 | ||
3 | 0 | 0.56633 | 4.73470 | 3.57455 | 13 | 0 | 0.50423 | 4.79680 | 3.70158 |
10 | 0.56521 | 4.73582 | 3.57683 | 10 | 0.50327 | 4.79776 | 3.70354 | ||
20 | 0.56409 | 4.73694 | 3.57910 | 20 | 0.50232 | 4.79871 | 3.70550 | ||
30 | 0.56298 | 4.73805 | 3.58137 | 30 | 0.50137 | 4.79966 | 3.70745 | ||
40 | 0.56187 | 4.73916 | 3.58363 | 40 | 0.50042 | 4.80061 | 3.70940 | ||
50 | 0.56076 | 4.74027 | 3.58589 | 50 | 0.49947 | 4.80156 | 3.71135 | ||
4 | 0 | 0.55966 | 4.74137 | 3.58814 | 14 | 0 | 0.49852 | 4.80251 | 3.71329 |
10 | 0.55856 | 4.74247 | 3.59038 | 10 | 0.49758 | 4.80345 | 3.71523 | ||
20 | 0.55746 | 4.74357 | 3.59262 | 20 | 0.49664 | 4.80439 | 3.71716 | ||
30 | 0.55637 | 4.74466 | 3.59486 | 30 | 0.49570 | 4.80533 | 3.71909 | ||
40 | 0.55528 | 4.74575 | 3.59708 | 40 | 0.49476 | 4.80627 | 3.72101 | ||
50 | 0.55419 | 4.74684 | 3.59930 | 50 | 0.49383 | 4.80720 | 3.72293 | ||
5 | 0 | 0.55311 | 4.74792 | 3.60152 | 15 | 0 | 0.49290 | 4.80813 | 3.72485 |
10 | 0.55203 | 4.74900 | 3.60373 | 10 | 0.49197 | 4.80906 | 3.72676 | ||
20 | 0.55095 | 4.75008 | 3.60593 | 20 | 0.49104 | 4.80999 | 3.72867 | ||
30 | 0.54987 | 4.75116 | 3.60813 | 30 | 0.49012 | 4.81091 | 3.73057 | ||
40 | 0.54880 | 4.75223 | 3.61032 | 40 | 0.48920 | 4.81183 | 3.73247 | ||
50 | 0.54773 | 4.75330 | 3.61251 | 50 | 0.48828 | 4.81275 | 3.73436 | ||
6 | 0 | 0.54666 | 4.75437 | 3.61469 | 16 | 0 | 0.48736 | 4.81367 | 3.73625 |
10 | 0.54559 | 4.75544 | 3.61686 | 10 | 0.48644 | 4.81459 | 3.73813 | ||
20 | 0.54453 | 4.75650 | 3.61903 | 20 | 0.48553 | 4.81550 | 3.74001 | ||
30 | 0.54347 | 4.75756 | 3.62120 | 30 | 0.48462 | 4.81641 | 3.74189 | ||
40 | 0.54241 | 4.75862 | 3.62336 | 40 | 0.48371 | 4.81732 | 3.74376 | ||
50 | 0.54136 | 4.75967 | 3.62551 | 50 | 0.48280 | 4.81823 | 3.74563 | ||
7 | 0 | 0.54031 | 4.76072 | 3.62766 | 17 | 0 | 0.48189 | 4.81914 | 3.74750 |
10 | 0.53926 | 4.76177 | 3.62980 | 10 | 0.48099 | 4.82004 | 3.74936 | ||
20 | 0.53822 | 4.76281 | 3.63194 | 20 | 0.48009 | 4.82094 | 3.75121 | ||
30 | 0.53718 | 4.76385 | 3.63407 | 30 | 0.47919 | 4.82184 | 3.75307 | ||
40 | 0.53614 | 4.76489 | 3.63620 | 40 | 0.47829 | 4.82274 | 3.75491 | ||
50 | 0.53510 | 4.76593 | 3.63832 | 50 | 0.47739 | 4.82364 | 3.75676 | ||
8 | 0 | 0.53406 | 4.76697 | 3.64043 | 18 | 0 | 0.47650 | 4.82453 | 3.75860 |
10 | 0.53303 | 4.76800 | 3.64254 | 10 | 0.47561 | 4.82542 | 3.76043 | ||
20 | 0.53200 | 4.76903 | 3.64465 | 20 | 0.47472 | 4.82631 | 3.76227 | ||
30 | 0.53097 | 4.77006 | 3.64675 | 30 | 0.47383 | 4.82720 | 3.76409 | ||
40 | 0.52995 | 4.77108 | 3.64885 | 40 | 0.47295 | 4.82808 | 3.76592 | ||
50 | 0.52893 | 4.77210 | 3.65094 | 50 | 0.47207 | 4.82896 | 3.76774 | ||
9 | 0 | 0.52791 | 4.77312 | 3.65302 | 19 | 0 | 0.47119 | 4.82984 | 3.76955 |
10 | 0.52690 | 4.77413 | 3.65510 | 10 | 0.47031 | 4.83072 | 3.77137 | ||
20 | 0.52589 | 4.77514 | 3.65717 | 20 | 0.46943 | 4.83160 | 3.77318 | ||
30 | 0.52488 | 4.77615 | 3.65924 | 30 | 0.46856 | 4.83247 | 3.77498 | ||
40 | 0.52387 | 4.77716 | 3.66131 | 40 | 0.46769 | 4.83334 | 3.77678 | ||
50 | 0.52286 | 4.77817 | 3.66337 | 50 | 0.46682 | 4.83421 | 3.77858 |
[page] 62
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
1 HOUR. | |||||||||
M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
20 | 0 | 0.46595 | 4.83508 | 3.78037 | 30 | 0 | 0.41716 | 4.88387 | 3.88150 |
10 | 0.46508 | 4.83595 | 3.78216 | 10 | 0.41640 | 4.88463 | 3.88309 | ||
20 | 0.46421 | 4.83682 | 3.78395 | 20 | 0.41564 | 4.88539 | 3.88467 | ||
30 | 0.46335 | 4.83768 | 3.78573 | 30 | 0.41488 | 4.88615 | 3.88625 | ||
40 | 0.46249 | 4.83854 | 3.78750 | 40 | 0.41412 | 4.88691 | 3.88783 | ||
50 | 0.46163 | 4.83940 | 3.78928 | 50 | 0.41336 | 4.88767 | 3.88940 | ||
21 | 0 | 0.46077 | 4.84026 | 3.79105 | 31 | 0 | 0.41261 | 4.88842 | 3.89097 |
10 | 0.45992 | 4.84111 | 3.79282 | 10 | 0.41186 | 4.88917 | 3.89254 | ||
20 | 0.45907 | 4.84196 | 3.79458 | 20 | 0.41111 | 4.88992 | 3.89411 | ||
30 | 0.45822 | 4.84281 | 3.79634 | 30 | 0.41036 | 4.89067 | 3.88567 | ||
40 | 0.45737 | 4.84366 | 3.79809 | 40 | 0.40961 | 4.89142 | 3.88723 | ||
50 | 0.45652 | 4.84451 | 3.79985 | 50 | 0.40886 | 4.89217 | 3.88879 | ||
22 | 0 | 0.45567 | 4.84536 | 3.80159 | 32 | 0 | 0.40812 | 4.89291 | 3.90034 |
10 | 0.45483 | 4.84620 | 3.80334 | 10 | 0.40738 | 4.89365 | 3.90189 | ||
20 | 0.45399 | 4.84704 | 3.80508 | 20 | 0.40664 | 4.89439 | 3.90344 | ||
30 | 0.45315 | 4.84788 | 3.80682 | 30 | 0.40590 | 4.89513 | 3.90498 | ||
40 | 0.45231 | 4.84872 | 3.80855 | 40 | 0.40516 | 4.89587 | 3.90653 | ||
50 | 0.45147 | 4.84956 | 3.81028 | 50 | 0.40442 | 4.89661 | 3.90807 | ||
23 | 0 | 0.45064 | 4.85039 | 3.81201 | 33 | 0 | 0. 40368 | 4.89735 | 3.90960 |
10 | 0.44981 | 4.85122 | 3.81373 | 10 | 0. 40295 | 4.89808 | 3.91114 | ||
20 | 0.44898 | 4.85205 | 3.81545 | 20 | 0. 40212 | 4.89881 | 3.91267 | ||
30 | 0.44815 | 4.85288 | 3.81717 | 30 | 0. 40149 | 4.89954 | 3.91420 | ||
40 | 0.44732 | 4.85371 | 3.81888 | 40 | 0. 40076 | 4.90027 | 3.91572 | ||
50 | 0.44649 | 4.85454 | 3.82059 | 50 | 0. 40003 | 4.90100 | 3.91724 | ||
24 | 0 | 0.44567 | 4.85536 | 3.82230 | 34 | 0 | 0.39930 | 4.90173 | 3.91876 |
10 | 0.44485 | 4.85618 | 3.82400 | 10 | 0.39857 | 4.90246 | 3.92028 | ||
20 | 0.44403 | 4.85700 | 3.82570 | 20 | 0.39785 | 4.90318 | 3.92179 | ||
30 | 0.44321 | 4.85782 | 3.82739 | 30 | 0.39713 | 4.90390 | 3.92331 | ||
40 | 0.44239 | 4.85864 | 3.82908 | 40 | 0.39641 | 4.90462 | 3.92482 | ||
50 | 0.44158 | 4.85945 | 3.83077 | 50 | 0.39569 | 4.90534 | 3.92632 | ||
25 | 0 | 0.44077 | 4.86026 | 3.83246 | 35 | 0 | 0.39497 | 4.90606 | 3.92782 |
10 | 0.43996 | 4.86107 | 3.83414 | 10 | 0.39425 | 4.90678 | 3.92932 | ||
20 | 0.43915 | 4.86188 | 3.83582 | 20 | 0.39353 | 4.90750 | 3.93082 | ||
30 | 0.43834 | 4.86269 | 3.83749 | 30 | 0.39282 | 4.90821 | 3.93232 | ||
40 | 0.43753 | 4.86350 | 3.83917 | 40 | 0.39211 | 4.90892 | 3.93381 | ||
50 | 0.43673 | 4.86430 | 3.84083 | 50 | 0.39140 | 4.90963 | 3.93530 | ||
26 | 0 | 0.43593 | 4.86510 | 3.84250 | 36 | 0 | 0.39069 | 4.91034 | 3.93679 |
10 | 0.43513 | 4.86590 | 3.84416 | 10 | 0.38998 | 4.91105 | 3.93827 | ||
20 | 0.43433 | 4.86670 | 3.84582 | 20 | 0.38927 | 4.91176 | 3.93975 | ||
30 | 0.43353 | 4.86750 | 3.84748 | 30 | 0.38856 | 4.91247 | 3.94123 | ||
40 | 0.43273 | 4.86830 | 3.84913 | 40 | 0.38786 | 4.91317 | 3.94271 | ||
50 | 0.43193 | 4.86910 | 3.85078 | 50 | 0.38716 | 4.91387 | 3.94418 | ||
27 | 0 | 0.43114 | 4.86989 | 3.85242 | 37 | 0 | 0.38646 | 4.91457 | 3.94566 |
10 | 0.43035 | 4.87068 | 3.85406 | 10 | 0.38576 | 4.91527 | 3.94712 | ||
20 | 0.42956 | 4.87147 | 3.85570 | 20 | 0.38506 | 4.91597 | 3.94859 | ||
30 | 0.42877 | 4.87226 | 3.85734 | 30 | 0.38436 | 4.91667 | 3.95005 | ||
40 | 0.42799 | 4.87304 | 3.85897 | 40 | 0.38366 | 4.91737 | 3.95151 | ||
50 | 0.42721 | 4.87382 | 3.86060 | 50 | 0.38296 | 4.91807 | 3.95297 | ||
28 | 0 | 0.420643 | 4.87460 | 3.86223 | 38 | 0 | 0.38227 | 4.91876 | 3.95443 |
10 | 0.42565 | 4.87538 | 3.86385 | 10 | 0.38158 | 4.91945 | 3.95588 | ||
20 | 0.42487 | 4.87616 | 3.86547 | 20 | 0.38089 | 4.92014 | 3.95733 | ||
30 | 0.42409 | 4.87694 | 3.86709 | 30 | 0.38020 | 4.92083 | 3.95878 | ||
40 | 0.42331 | 4.87772 | 3.86870 | 40 | 0.37951 | 4.92152 | 3.96023 | ||
50 | 0.42253 | 4.87850 | 3.87031 | 50 | 0.37882 | 4.92221 | 3.96167 | ||
29 | 0 | 0.42176 | 4.87927 | 3.87192 | 39 | 0 | 0.37813 | 4.92290 | 3.96311 |
10 | 0.42099 | 4.88004 | 3.87352 | 10 | 0.37745 | 4.92358 | 3.96455 | ||
20 | 0.42022 | 4.88081 | 3.87513 | 20 | 0.37677 | 4.92426 | 3.96599 | ||
30 | 0.41945 | 4.88158 | 3.87672 | 30 | 0.37609 | 4.92494 | 3.96742 | ||
40 | 0.41868 | 4.88235 | 3.87832 | 40 | 0.37541 | 4.92562 | 3.96885 | ||
50 | 0.41792 | 4.88311 | 3.87991 | 50 | 0.37473 | 4.92630 | 3.97028 |
[page] 63
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
1 HOUR. | |||||||||
M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
40 | 0 | 0.37405 | 4.92698 | 3.97170 | 50 | 0 | 0.33559 | 4.96544 | 4.05304 |
10 | 0.37337 | 4.92766 | 3.97313 | 10 | 0.33498 | 4.96605 | 4.05433 | ||
20 | 0.37269 | 4.92834 | 3.97455 | 20 | 0.33438 | 4.96665 | 4.05561 | ||
30 | 0.37202 | 4.92901 | 3.97597 | 30 | 0.33378 | 4.96725 | 4.05690 | ||
40 | 0.37135 | 4.92968 | 3.97738 | 40 | 0.33318 | 4.96785 | 4.05818 | ||
50 | 0.37068 | 4.93035 | 3.97880 | 50 | 0.33258 | 4.96845 | 4.05946 | ||
41 | 0 | 0.37001 | 4.93102 | 3.98021 | 51 | 0 | 0.33197 | 4.96906 | 4.06074 |
10 | 0.36934 | 4.93169 | 3.98162 | 10 | 0.33137 | 4.96966 | 4.06202 | ||
20 | 0.36867 | 4.93236 | 3.98302 | 20 | 0.33077 | 4.97026 | 4.06330 | ||
30 | 0.36800 | 4.93303 | 3.98443 | 30 | 0.33017 | 4.97086 | 4.06457 | ||
40 | 0.36734 | 4.93369 | 3.98583 | 40 | 0.32958 | 4.97145 | 4.06584 | ||
50 | 0.36668 | 4.93435 | 3.98723 | 50 | 0.32899 | 4.97204 | 4.06711 | ||
42 | 0 | 0.36602 | 4.93501 | 3.98862 | 52 | 0 | 0.32839 | 4.97264 | 4.06838 |
10 | 0.36536 | 4.93567 | 3.99001 | 10 | 0.32780 | 4.97323 | 4.06965 | ||
20 | 0.36470 | 4.93699 | 3.99141 | 20 | 0.32720 | 4.97383 | 4.07091 | ||
30 | 0.36404 | 4.93699 | 3.99280 | 30 | 0.32661 | 4.97442 | 4.07217 | ||
40 | 0.36338 | 4.93765 | 3.99419 | 40 | 0.32602 | 4.97501 | 4.07343 | ||
50 | 0.36272 | 4.93831 | 3.99557 | 50 | 0.32543 | 4.97560 | 4.07469 | ||
43 | 0 | 0.36206 | 4.93897 | 3.99696 | 53 | 0 | 0.32485 | 4.97618 | 4.07595 |
10 | 0.36141 | 4.93962 | 3.99834 | 10 | 0.32426 | 4.97677 | 4.07720 | ||
20 | 0.36076 | 4.94027 | 3.99972 | 20 | 0.32367 | 4.97736 | 4.07845 | ||
30 | 0.36011 | 4.94092 | 4.00109 | 30 | 0.32309 | 4.97794 | 4.07970 | ||
40 | 0.35946 | 4.94157 | 4.00247 | 40 | 0.32250 | 4.97853 | 4.08095 | ||
50 | 0.35881 | 4.94222 | 4.00384 | 50 | 0.32192 | 4.97911 | 4.08220 | ||
44 | 0 | 0.35816 | 4.94287 | 4.00521 | 54 | 0 | 0.32134 | 4.97969 | 4.08344 |
10 | 0.35751 | 4.94352 | 4.00657 | 10 | 0.32076 | 4.98027 | 4.08468 | ||
20 | 0.35686 | 4.94417 | 4.00793 | 20 | 0.32018 | 4.98085 | 4.08592 | ||
30 | 0.35622 | 4.94481 | 4.00930 | 30 | 0.31960 | 4.98143 | 4.08716 | ||
40 | 0.35558 | 4.94545 | 4.01066 | 40 | 0.31902 | 4.98201 | 4.08840 | ||
50 | 0.35494 | 4.94609 | 4.01202 | 50 | 0.31844 | 4.98259 | 4.08964 | ||
45 | 0 | 0.35430 | 4.94673 | 4.01337 | 55 | 0 | 0.31787 | 4.98316 | 4.09087 |
10 | 0.35366 | 4.94737 | 4.01473 | 10 | 0.31729 | 4.98374 | 4.09210 | ||
20 | 0.35302 | 4.94801 | 4.01608 | 20 | 0.31672 | 4.98431 | 4.09333 | ||
30 | 0.35238 | 4.94865 | 4.01743 | 30 | 0.31614 | 4.98489 | 4.09456 | ||
40 | 0.35174 | 4.94929 | 4.01877 | 40 | 0.31557 | 4.98546 | 4.09578 | ||
50 | 0.35110 | 4.94993 | 4.02012 | 50 | 0.31500 | 4.98603 | 4.09701 | ||
46 | 0 | 0.35047 | 4.95056 | 4.02146 | 56 | 0 | 0.31443 | 4.98660 | 4.09823 |
10 | 0.34984 | 4.95119 | 4.02280 | 10 | 0.31386 | 4.98717 | 4.09945 | ||
20 | 0.34921 | 4.95182 | 4.02414 | 20 | 0.31329 | 4.98774 | 4.10067 | ||
30 | 0.34858 | 4.95245 | 4.02547 | 30 | 0.31272 | 4.98831 | 4.10188 | ||
40 | 0.34795 | 4.95308 | 4.02681 | 40 | 0.31216 | 4.98887 | 4.10310 | ||
50 | 0.34732 | 4.95371 | 4.02814 | 50 | 0.31159 | 4.98944 | 4.10431 | ||
47 | 0 | 0.34669 | 4.95434 | 4.02947 | 57 | 0 | 0.31103 | 4.99000 | 4.10552 |
10 | 0.34606 | 4.95497 | 4.03080 | 10 | 0.31046 | 4.99057 | 4.10673 | ||
20 | 0.34544 | 4.95559 | 4.03212 | 20 | 0.30990 | 4.99113 | 4.10794 | ||
30 | 0.34482 | 4.95621 | 4.03344 | 30 | 0.30934 | 4.99169 | 4.10915 | ||
40 | 0.34420 | 4.95683 | 4.03477 | 40 | 0.30878 | 4.99225 | 4.11035 | ||
50 | 0.34358 | 4.95745 | 4.03608 | 50 | 0.30822 | 4.99281 | 4.11155 | ||
48 | 0 | 0.34296 | 4.95807 | 4.03740 | 58 | 0 | 0.30766 | 4.99337 | 4.11275 |
10 | 0.34234 | 4.95869 | 4.03871 | 10 | 0.30710 | 4.99393 | 4.11395 | ||
20 | 0.34172 | 4.95931 | 4.04003 | 20 | 0.30655 | 4.99448 | 4.11515 | ||
30 | 0.34110 | 4.95993 | 4.04134 | 30 | 0.30599 | 4.99504 | 4.11634 | ||
40 | 0.34048 | 4.96055 | 4.04265 | 40 | 0.30544 | 4.99559 | 4.11754 | ||
50 | 0.33986 | 4.96117 | 4.04395 | 50 | 0.30488 | 4.99615 | 4.11873 | ||
49 | 0 | 0.33925 | 4.96178 | 4.04526 | 59 | 0 | 0.30433 | 4.99670 | 4.11992 |
10 | 0.33864 | 4.96239 | 4.04656 | 10 | 0.30378 | 4.99725 | 4.12111 | ||
20 | 0.33803 | 4.96300 | 4.04786 | 20 | 0.30323 | 4.99780 | 4.12229 | ||
30 | 0.33742 | 4.96361 | 4.04916 | 30 | 0.30268 | 4.99835 | 4.12348 | ||
40 | 0.33681 | 4.96422 | 4.05045 | 40 | 0.30213 | 4.99890 | 4.12466 | ||
50 | 0.33620 | 4.96483 | 4.05175 | 50 | 0.30158 | 4.99945 | 4.12584 |
[page] 64
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
2 HOURS. | |||||||||
M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
0 | 0 | 0.30103 | 5.00000 | 4.12702 | 10 | 0 | 0.26978 | 5.03125 | 4.19482 |
10 | 0.30048 | 5.00055 | 4.12820 | 10 | 0.26929 | 5.03174 | 4.19590 | ||
20 | 0.29994 | 5.00109 | 4.12938 | 20 | 0.26879 | 5.03224 | 4.19698 | ||
30 | 0.29939 | 5.00164 | 4.13055 | 30 | 0.26830 | 5.03275 | 4.19806 | ||
40 | 0.29885 | 5.00218 | 4.13172 | 40 | 0.26781 | 5.03322 | 4.19914 | ||
50 | 0.29831 | 5.00272 | 4.13289 | 50 | 0.26731 | 5.03372 | 4.20021 | ||
1 | 0 | 0.29776 | 5.00327 | 4.13406 | 11 | 0 | 0.26682 | 5.03421 | 4.20129 |
10 | 0.29722 | 5.00381 | 4.13523 | 10 | 0.26633 | 5.03470 | 4.20236 | ||
20 | 0.29668 | 5.00435 | 4.13640 | 20 | 0.26584 | 5.03519 | 4.20344 | ||
30 | 0.29614 | 5.00489 | 4.13756 | 30 | 0.26535 | 5.03568 | 4.20451 | ||
40 | 0.29560 | 5.00543 | 4.13872 | 40 | 0.26486 | 5.03617 | 4.20558 | ||
50 | 0.29507 | 5.00596 | 4.13988 | 50 | 0.26438 | 5.03665 | 4.20665 | ||
2 | 0 | 0.29453 | 5.00650 | 4.14104 | 12 | 0 | 0.26389 | 5.03714 | 4.20771 |
10 | 0.29399 | 5.00704 | 4.14220 | 10 | 0.26340 | 5.03763 | 4.20878 | ||
20 | 0.29346 | 5.00757 | 4.14336 | 20 | 0.26292 | 5.03811 | 4.20984 | ||
30 | 0.29293 | 5.00810 | 4.14451 | 30 | 0.26244 | 5.03859 | 4.21091 | ||
40 | 0.29239 | 5.00864 | 4.14566 | 40 | 0.26195 | 5.03908 | 4.21197 | ||
50 | 0.29186 | 5.00917 | 4.14682 | 50 | 0.26147 | 5.03956 | 4.21303 | ||
3 | 0 | 0.29133 | 5.00970 | 4.14797 | 13 | 0 | 0.26099 | 5.04004 | 4.21409 |
10 | 0.29080 | 5.01023 | 4.14911 | 10 | 0.26051 | 5.04052 | 4.21514 | ||
20 | 0.29027 | 5.01076 | 4.15026 | 20 | 0.26003 | 5.04100 | 4.21620 | ||
30 | 0.28974 | 5.01129 | 4.15140 | 30 | 0.25955 | 5.04148 | 4.21725 | ||
40 | 0.28921 | 5.01182 | 4.15255 | 40 | 0.25907 | 5.04196 | 4.21831 | ||
50 | 0.28869 | 5.01234 | 4.15369 | 50 | 0.25859 | 5.04244 | 4.21936 | ||
4 | 0 | 0.28816 | 5.01287 | 4.15483 | 14 | 0 | 0.25811 | 5.04292 | 4.22041 |
10 | 0.28764 | 5.01339 | 4.15597 | 10 | 0.25763 | 5.04340 | 4.22146 | ||
20 | 0.28711 | 5.01392 | 4.15710 | 20 | 0.25716 | 5.04387 | 4.22250 | ||
30 | 0.28659 | 5.01444 | 4.15824 | 30 | 0.25668 | 5.04435 | 4.22355 | ||
40 | 0.28607 | 5.01496 | 4.15937 | 40 | 0.25621 | 5.04482 | 4.22459 | ||
50 | 0.28554 | 5.01549 | 4.16050 | 50 | 0.25573 | 5.04530 | 4.22564 | ||
5 | 0 | 0.28502 | 5.01601 | 4.16163 | 15 | 0 | 0.25526 | 5.04577 | 4.22668 |
10 | 0.28450 | 5.01653 | 4.16276 | 10 | 0.25479 | 5.04624 | 4.22772 | ||
20 | 0.28398 | 5.01705 | 4.16389 | 20 | 0.25432 | 5.04671 | 4.22876 | ||
30 | 0.28346 | 5.01757 | 4.16501 | 30 | 0.25385 | 5.04718 | 4.22980 | ||
40 | 0.28295 | 5.01808 | 4.16614 | 40 | 0.25338 | 5.04765 | 4.23083 | ||
50 | 0.28243 | 5.01860 | 4.16726 | 50 | 0.25291 | 5.04812 | 4.23187 | ||
6 | 0 | 0.28191 | 5.01912 | 4.16838 | 16 | 0 | 0.25244 | 5.04859 | 4.23290 |
10 | 0.28140 | 5.01963 | 4.16950 | 10 | 0.25197 | 5.04906 | 4.23393 | ||
20 | 0.28089 | 5.02014 | 4.17062 | 20 | 0.25150 | 5.04953 | 4.23496 | ||
30 | 0.28037 | 5.02066 | 4.17173 | 30 | 0.25104 | 5.04999 | 4.23599 | ||
40 | 0.27986 | 5.02117 | 4.17285 | 40 | 0.25057 | 5.05046 | 4.23702 | ||
50 | 0.27935 | 5.02168 | 4.17396 | 50 | 0.25011 | 5.05092 | 4.23805 | ||
7 | 0 | 0.27884 | 5.02219 | 4.17507 | 17 | 0 | 0.24964 | 5.05139 | 4.23907 |
10 | 0.27833 | 5.02270 | 4.17618 | 10 | 0.24918 | 5.05185 | 4.24010 | ||
20 | 0.27782 | 5.02321 | 4.17729 | 20 | 0.24872 | 5.05231 | 4.24112 | ||
30 | 0.27731 | 5.02372 | 4.17839 | 30 | 0.24825 | 5.05278 | 4.24214 | ||
40 | 0.27680 | 5.02423 | 4.17950 | 40 | 0.24779 | 5.05324 | 4.24316 | ||
50 | 0.27630 | 5.02473 | 4.18060 | 50 | 0.24733 | 5.05370 | 4.24418 | ||
8 | 0 | 0.27579 | 5.02524 | 4.18171 | 18 | 0 | 0.24687 | 5.05416 | 4.24520 |
10 | 0.27529 | 5.02574 | 4.18281 | 10 | 0.24641 | 5.05462 | 4.24622 | ||
20 | 0.27478 | 5.02625 | 4.18391 | 20 | 0.24595 | 5.05508 | 4.24723 | ||
30 | 0.27428 | 5.02675 | 4.18500 | 30 | 0.24550 | 5.05553 | 4.24825 | ||
40 | 0.27378 | 5.02725 | 4.18610 | 40 | 0.24504 | 5.05599 | 4.24926 | ||
50 | 0.27327 | 5.02776 | 4.18719 | 50 | 0.24458 | 5.05645 | 4.25027 | ||
9 | 0 | 0.27277 | 5.02826 | 4.18828 | 19 | 0 | 0.24413 | 5.05690 | 4.25128 |
10 | 0.27227 | 5.02876 | 4.18938 | 10 | 0.24367 | 5.05736 | 4.25229 | ||
20 | 0.27177 | 5.02926 | 4.19047 | 20 | 0.24322 | 5.05781 | 4.25330 | ||
30 | 0.27127 | 5.02976 | 4.19156 | 30 | 0.24276 | 5.05827 | 4.25430 | ||
40 | 0.27077 | 5.03026 | 4.19265 | 40 | 0.24231 | 5.05872 | 4.25531 | ||
50 | 0.27028 | 5.03075 | 4.19373 | 50 | 0.24186 | 5.05917 | 4.25631 |
[page] 65
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
2 HOURS. | |||||||||
M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log.1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
20 | 0 | 0.24141 | 5.05962 | 4.25731 | 30 | 0 | 0.21555 | 5.08548 | 4.31523 |
10 | 0.24096 | 5.06007 | 4.25831 | 10 | 0.21514 | 5.08589 | 4.31616 | ||
20 | 0.24051 | 5.06052 | 4.25931 | 20 | 0.21473 | 5.08630 | 4.31709 | ||
30 | 0.24006 | 5.06097 | 4.26031 | 30 | 0.21432 | 5.08671 | 4.31801 | ||
40 | 0.23961 | 5.06142 | 4.26131 | 40 | 0.21391 | 5.08712 | 4.31894 | ||
50 | 0.23916 | 5.06187 | 4.26231 | 50 | 0.21350 | 5.08753 | 4.31987 | ||
21 | 0 | 0.23871 | 5.06232 | 4.26330 | 31 | 0 | 0.21309 | 5.08794 | 4.32079 |
10 | 0.23827 | 5.06276 | 4.26429 | 10 | 0.21269 | 5.08834 | 4.32171 | ||
20 | 0.23782 | 5.06321 | 4.26529 | 20 | 0.21228 | 5.08875 | 4.32264 | ||
30 | 0.23738 | 5.06365 | 4.26628 | 30 | 0.21187 | 5.08916 | 4.32356 | ||
40 | 0.23693 | 5.06410 | 4.26727 | 40 | 0.21147 | 5.08956 | 4.32448 | ||
50 | 0.23649 | 5.06454 | 4.26826 | 50 | 0.21106 | 5.08997 | 4.32540 | ||
22 | 0 | 0.23605 | 5.06498 | 4.26924 | 32 | 0 | 0.21066 | 5.09037 | 4.32631 |
10 | 0.23560 | 5.06543 | 4.27023 | 10 | 0.21025 | 5.09078 | 4.32723 | ||
20 | 0.23516 | 5.06587 | 4.27121 | 20 | 0.20985 | 5.09118 | 4.32815 | ||
30 | 0.23472 | 5.06631 | 4.27220 | 30 | 0.20945 | 5.09158 | 4.32906 | ||
40 | 0.23428 | 5.06675 | 4.27318 | 40 | 0.20905 | 5.09198 | 4.32997 | ||
50 | 0.23384 | 5.06719 | 4.27416 | 50 | 0.20864 | 5.09239 | 4.33089 | ||
23 | 0 | 0.23340 | 5.06763 | 4.27514 | 33 | 0 | 0.20824 | 5.09279 | 4.33180 |
10 | 0.23296 | 5.06807 | 4.27612 | 10 | 0.20784 | 5.09319 | 4.33271 | ||
20 | 0.23252 | 5.06851 | 4.27710 | 20 | 0.20744 | 5.09359 | 4.33362 | ||
30 | 0.23209 | 5.06894 | 4.27807 | 30 | 0.20704 | 5.09399 | 4.33453 | ||
40 | 0.23165 | 5.06938 | 4.27905 | 40 | 0.20665 | 5.09438 | 4.33543 | ||
50 | 0.23122 | 5.06981 | 4.28002 | 50 | 0.20625 | 5.09478 | 4.33634 | ||
24 | 0 | 0.23078 | 5.07025 | 4.28099 | 34 | 0 | 0.20585 | 5.09518 | 4.33724 |
10 | 0.23035 | 5.07068 | 4.28197 | 10 | 0.20545 | 5.09558 | 4.33815 | ||
20 | 0.22991 | 5.07112 | 4.28294 | 20 | 0.20506 | 5.09597 | 4.33905 | ||
30 | 0.22948 | 5.07155 | 4.28391 | 30 | 0.20466 | 5.09637 | 4.33995 | ||
40 | 0.22862 | 5.07198 | 4.28487 | 40 | 0.20427 | 5.09676 | 4.34085 | ||
50 | 0.27028 | 5.07241 | 4.28584 | 50 | 0.20387 | 5.09716 | 4.34175 | ||
25 | 0 | 0.22819 | 5.07284 | 4.28681 | 35 | 0 | 0.20348 | 5.09755 | 4.34265 |
10 | 0.22775 | 5.07328 | 4.28777 | 10 | 0.20309 | 5.09794 | 4.34355 | ||
20 | 0.22732 | 5.07371 | 4.28873 | 20 | 0.20269 | 5.09834 | 4.34444 | ||
30 | 0.22690 | 5.07413 | 4.28969 | 30 | 0.20230 | 5.09873 | 4.34534 | ||
40 | 0.22647 | 5.07456 | 4.29065 | 40 | 0.20191 | 5.09912 | 4.34623 | ||
50 | 0.22604 | 5.07499 | 4.29162 | 50 | 0.20152 | 5.09951 | 4.34713 | ||
26 | 0 | 0.22561 | 5.07542 | 4.29257 | 35 | 0 | 0.20113 | 5.09990 | 4.34802 |
10 | 0.22519 | 5.07584 | 4.29353 | 10 | 0.20074 | 5.10029 | 4.34891 | ||
20 | 0.22476 | 5.07627 | 4.29449 | 20 | 0.20035 | 5.10068 | 4.34980 | ||
30 | 0.22433 | 5.07670 | 4.29544 | 30 | 0.19996 | 5.10107 | 4.35069 | ||
40 | 0.22391 | 5.07712 | 4.29639 | 40 | 0.19957 | 5.10146 | 4.35158 | ||
50 | 0.22349 | 5.07754 | 4.29735 | 50 | 0.19919 | 5.10184 | 4.35247 | ||
27 | 0 | 0.22306 | 5.07797 | 4.29830 | 37 | 0 | 0.19880 | 5.10223 | 4.35335 |
10 | 0.22264 | 5.07839 | 4.29925 | 10 | 0.19841 | 5.10262 | 4.35424 | ||
20 | 0.22222 | 5.07881 | 4.30020 | 20 | 0.19803 | 5.10300 | 4.35512 | ||
30 | 0.22180 | 5.07923 | 4.30115 | 30 | 0.19764 | 5.10339 | 4.35601 | ||
40 | 0.22138 | 5.07965 | 4.30209 | 40 | 0.19726 | 5.10377 | 4.35689 | ||
50 | 0.22096 | 5.08007 | 4.30304 | 50 | 0.19687 | 5.10416 | 4.35777 | ||
28 | 0 | 0.22054 | 5.08049 | 4.30398 | 38 | 0 | 0.19649 | 5.10454 | 4.35865 |
10 | 0.22012 | 5.08091 | 4.30493 | 10 | 0.19611 | 5.10492 | 4.35953 | ||
20 | 0.21970 | 5.08133 | 4.30587 | 20 | 0.19572 | 5.10531 | 4.36041 | ||
30 | 0.21928 | 5.08175 | 4.30681 | 30 | 0.19534 | 5.10569 | 4.36128 | ||
40 | 0.21887 | 5.08216 | 4.30775 | 40 | 0.19496 | 5.10607 | 4.36216 | ||
50 | 0.21845 | 5.08258 | 4.30869 | 50 | 0.19458 | 5.10645 | 4.36303 | ||
29 | 0 | 0.21803 | 5.08300 | 4.30963 | 39 | 0 | 0.19420 | 5.10683 | 4.36391 |
10 | 0.21762 | 5.08341 | 4.31056 | 10 | 0.19382 | 5.10721 | 4.36478 | ||
20 | 0.21720 | 5.08383 | 4.31150 | 20 | 0.19344 | 5.10759 | 4.36565 | ||
30 | 0.21679 | 5.08424 | 4.31243 | 30 | 0.19306 | 5.10797 | 4.36653 | ||
40 | 0.21638 | 5.08465 | 4.31337 | 40 | 0.19269 | 5.10834 | 4.36740 | ||
50 | 0.21596 | 5.08507 | 4.31430 | 50 | 0.19231 | 5.10872 | 4.36827 |
[page] 66
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
2 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
40 | 0 | 0.19193 | 5.10910 | 4.36913 | 50 | 0 | 0.17032 | 5.13071 | 4.41950 |
10 | 0.19156 | 5.10910 | 4.37000 | 10 | 0.16997 | 5.13106 | 4.42031 | ||
20 | 0.19118 | 5.10985 | 4.37087 | 20 | 0.16963 | 5.13140 | 4.42112 | ||
30 | 0.19081 | 5.11022 | 4.37173 | 30 | 0.16928 | 5.13175 | 4.42193 | ||
40 | 0.19043 | 5.11060 | 4.37260 | 40 | 0.16894 | 5.13209 | 4.42274 | ||
50 | 0.19006 | 5.11097 | 4.37346 | 50 | 0.16860 | 5.13243 | 4.42355 | ||
41 | 0 | 0.18968 | 5.11135 | 4.37432 | 51 | 0 | 0.16826 | 5.13277 | 4.42435 |
10 | 0.18931 | 5.11172 | 4.37518 | 10 | 0.16792 | 5.13311 | 4.42516 | ||
20 | 0.18894 | 5.11209 | 4.37604 | 20 | 0.16758 | 5.13345 | 4.42597 | ||
30 | 0.18857 | 5.11246 | 4.37690 | 30 | 0.16724 | 5.13379 | 4.42677 | ||
40 | 0.18820 | 5.11283 | 4.37776 | 40 | 0.16690 | 5.13413 | 4.42758 | ||
50 | 0.18783 | 5.11320 | 4.37862 | 50 | 0.16656 | 5.13447 | 4.42838 | ||
42 | 0 | 0.18746 | 5.11357 | 4.37948 | 52 | 0 | 0.16622 | 5.13481 | 4.42918 |
10 | 0.18709 | 5.11394 | 4.38033 | 10 | 0.16588 | 5.13515 | 4.42998 | ||
20 | 0.18672 | 5.11431 | 4.38119 | 20 | 0.16554 | 5.13549 | 4.43078 | ||
30 | 0.18635 | 5.11468 | 4.38204 | 30 | 0.16520 | 5.13583 | 4.43158 | ||
40 | 0.18598 | 5.11505 | 4.38289 | 40 | 0.16487 | 5.13616 | 4.43238 | ||
50 | 0.18561 | 5.11542 | 4.38374 | 50 | 0.16453 | 5.13650 | 4.43318 | ||
43 | 0 | 0.18525 | 5.11578 | 4.38459 | 53 | 0 | 0.16419 | 5.13684 | 4.43398 |
10 | 0.18488 | 5.11615 | 4.38544 | 10 | 0.16386 | 5.13717 | 4.43398 | ||
20 | 0.18451 | 5.11652 | 4.38629 | 20 | 0.16352 | 5.13751 | 4.43477 | ||
30 | 0.18415 | 5.11688 | 4.38714 | 30 | 0.16319 | 5.13784 | 4.43577 | ||
40 | 0.18378 | 5.11725 | 4.38799 | 40 | 0.16285 | 5.13818 | 4.43716 | ||
50 | 0.18342 | 5.11761 | 4.38884 | 50 | 0.16252 | 5.13851 | 4.43795 | ||
44 | 0 | 0.18306 | 5.11797 | 4.38968 | 54 | 0 | 0.16219 | 5.13884 | 4.43874 |
10 | 0.18269 | 5.11834 | 4.39052 | 10 | 0.16186 | 5.13917 | 4.43953 | ||
20 | 0.18233 | 5.11870 | 4.39137 | 20 | 0.16152 | 5.13951 | 4.44032 | ||
30 | 0.18197 | 5.11906 | 4.39221 | 30 | 0.16119 | 5.13984 | 4.44111 | ||
40 | 0.18161 | 5.11942 | 4.39305 | 40 | 0.16086 | 5.14017 | 4.44190 | ||
50 | 0.18124 | 5.11979 | 4.39389 | 50 | 0.16053 | 5.14050 | 4.44269 | ||
45 | 0 | 0.18089 | 5.12014 | 4.39473 | 55 | 0 | 0.16020 | 5.14083 | 4.44348 |
10 | 0.18053 | 5.12050 | 4.39557 | 10 | 0.15987 | 5.14116 | 4.44426 | ||
20 | 0.18017 | 5.12086 | 4.39641 | 20 | 0.15954 | 5.14149 | 4.44505 | ||
30 | 0.17981 | 5.12122 | 4.39725 | 30 | 0.15921 | 5.14182 | 4.44583 | ||
40 | 0.17945 | 5.12158 | 4.39808 | 40 | 0.15888 | 5.14215 | 4.44662 | ||
50 | 0.17909 | 5.12194 | 4.39892 | 50 | 0.15856 | 5.14247 | 4.44740 | ||
46 | 0 | 0.17874 | 5.12229 | 4.39975 | 56 | 0 | 0.15823 | 5.14280 | 4.44818 |
10 | 0.17838 | 5.12265 | 4.40058 | 10 | 0.15790 | 5.14313 | 4.44896 | ||
20 | 0.17802 | 5.12301 | 4.40142 | 20 | 0.15758 | 5.14345 | 4.44974 | ||
30 | 0.17767 | 5.12336 | 4.40225 | 30 | 0.15725 | 5.14378 | 4.45052 | ||
40 | 0.17731 | 5.12372 | 4.40308 | 40 | 0.15692 | 5.14411 | 4.45130 | ||
50 | 0.17696 | 5.12407 | 4.40391 | 50 | 0.15660 | 5.14443 | 4.45208 | ||
47 | 0 | 0.17660 | 5.12443 | 4.40474 | 57 | 0 | 0.15628 | 5.14475 | 4.45286 |
10 | 0.17625 | 5.12478 | 4.40556 | 10 | 0.15595 | 5.14508 | 4.45363 | ||
20 | 0.17590 | 5.12513 | 4.40639 | 20 | 0.15563 | 5.14540 | 4.45441 | ||
30 | 0.17554 | 5.12549 | 4.40722 | 30 | 0.15530 | 5.14573 | 4.45518 | ||
40 | 0.17519 | 5.12584 | 4.40804 | 40 | 0.15498 | 5.14605 | 4.45596 | ||
50 | 0.17484 | 5.12619 | 4.40886 | 50 | 0.15466 | 5.14637 | 4.45673 | ||
48 | 0 | 0.17449 | 5.12654 | 4.40969 | 58 | 0 | 0.15434 | 5.14469 | 4.45750 |
10 | 0.17414 | 5.12689 | 4.41051 | 10 | 0.15402 | 5.14701 | 4.45827 | ||
20 | 0.17379 | 5.12724 | 4.41133 | 20 | 0.15370 | 5.14733 | 4.45904 | ||
30 | 0.17344 | 5.12759 | 4.41215 | 30 | 0.15338 | 5.14765 | 4.45981 | ||
40 | 0.17309 | 5.12794 | 4.41297 | 40 | 0.15306 | 5.14797 | 4.46058 | ||
50 | 0.17274 | 5.12829 | 4.41397 | 50 | 0.15274 | 5.14829 | 4.46135 | ||
49 | 0 | 0.17239 | 5.12864 | 4.41461 | 59 | 0 | 0.15242 | 5.14861 | 4.46212 |
10 | 0.17205 | 5.12898 | 4.41542 | 10 | 0.15210 | 5.14893 | 4.46289 | ||
20 | 0.17170 | 5.12933 | 4.41624 | 20 | 0.15178 | 5.14925 | 4.46365 | ||
30 | 0.17135 | 5.12968 | 4.41706 | 30 | 0.15146 | 5.14957 | 4.46442 | ||
40 | 0.17101 | 5.13002 | 4.41787 | 40 | 0.15115 | 5.14988 | 4.46518 | ||
50 | 0.17066 | 5.13037 | 4.41868 | 50 | 0.15083 | 5.15020 | 4.46595 |
[page] 67
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
3 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
0 | 0 | 0.15051 | 5.15052 | 4.46671 | 10 | 0 | 0.13237 | 5.16866 | 4.51109 |
10 | 0.15020 | 5.15083 | 4.46747 | 10 | 0.13208 | 5.16895 | 4.51181 | ||
20 | 0.14988 | 5.15115 | 4.46823 | 20 | 0.13179 | 5.16924 | 4.51253 | ||
30 | 0.14957 | 5.15146 | 4.46899 | 30 | 0.13150 | 5.16953 | 4.51325 | ||
40 | 0.14926 | 5.15177 | 4.46975 | 40 | 0.13121 | 5.16982 | 4.51396 | ||
50 | 0.14894 | 5.15209 | 4.47051 | 50 | 0.13093 | 5.17010 | 4.51467 | ||
1 | 0 | 0.14863 | 5.15240 | 4.47127 | 11 | 0 | 0.13064 | 5.17039 | 4.51539 |
10 | 0.14832 | 5.15271 | 4.47203 | 10 | 0.13035 | 5.17068 | 4.51610 | ||
20 | 0.14800 | 5.15303 | 4.47278 | 20 | 0.13007 | 5.17096 | 4.51681 | ||
30 | 0.14769 | 5.15334 | 4.47354 | 30 | 0.12978 | 5.17125 | 4.51753 | ||
40 | 0.14738 | 5.15365 | 4.47430 | 40 | 0.12950 | 5.17153 | 4.51824 | ||
50 | 0.14707 | 5.15396 | 4.47505 | 50 | 0.12921 | 5.17182 | 4.51895 | ||
2 | 0 | 0.14676 | 5.15427 | 4.47580 | 12 | 0 | 0.12893 | 5.17210 | 4.51966 |
10 | 0.14645 | 5.15458 | 4.47656 | 10 | 0.12864 | 5.17239 | 4.52037 | ||
20 | 0.14614 | 5.15489 | 4.47731 | 20 | 0.12836 | 5.17267 | 4.52107 | ||
30 | 0.14583 | 5.15520 | 4.47806 | 30 | 0.12807 | 5.17296 | 4.52178 | ||
40 | 0.14552 | 5.15551 | 4.47881 | 40 | 0.12779 | 5.17324 | 4.52249 | ||
50 | 0.14521 | 5.15582 | 4.47956 | 50 | 0.12751 | 5.17352 | 4.52319 | ||
3 | 0 | 0.14490 | 5.15613 | 4.48031 | 13 | 0 | 0.12723 | 5.17380 | 4.52390 |
10 | 0.14460 | 5.15643 | 4.48106 | 10 | 0.12695 | 5.17408 | 4.52461 | ||
20 | 0.14429 | 5.15674 | 4.48180 | 20 | 0.12666 | 5.17437 | 4.52531 | ||
30 | 0.14398 | 5.15705 | 4.48255 | 30 | 0.12638 | 5.17465 | 4.52601 | ||
40 | 0.14368 | 5.15735 | 4.48330 | 40 | 0.12610 | 5.17493 | 4.52672 | ||
50 | 0.14337 | 5.15766 | 4.48404 | 50 | 0.12582 | 5.17521 | 4.52742 | ||
4 | 0 | 0.14307 | 5.15796 | 4.48479 | 14 | 0 | 0.12554 | 5.17549 | 4.52812 |
10 | 0.14276 | 5.15827 | 4.48553 | 10 | 0.12526 | 5.17577 | 4.52882 | ||
20 | 0.14246 | 5.15857 | 4.48627 | 20 | 0.12499 | 5.17604 | 4.52952 | ||
30 | 0.14215 | 5.15888 | 4.48701 | 30 | 0.12471 | 5.17632 | 4.53022 | ||
40 | 0.14185 | 5.15918 | 4.48776 | 40 | 0.12443 | 5.17660 | 4.53092 | ||
50 | 0.14155 | 5.15948 | 4.48850 | 50 | 0.12415 | 5.17688 | 4.53162 | ||
5 | 0 | 0.14124 | 5.15979 | 4.48924 | 15 | 0 | 0.12387 | 5.17716 | 4.53231 |
10 | 0.14094 | 5.16009 | 4.48998 | 10 | 0.12360 | 5.17743 | 4.53301 | ||
20 | 0.14064 | 5.16039 | 4.49071 | 20 | 0.12332 | 5.17771 | 4.53371 | ||
30 | 0.14034 | 5.16069 | 4.49145 | 30 | 0.12305 | 5.17798 | 4.53440 | ||
40 | 0.14004 | 5.16099 | 4.49219 | 40 | 0.12277 | 5.17826 | 4.53510 | ||
50 | 0.13974 | 5.16129 | 4.49293 | 50 | 0.12249 | 5.17854 | 4.53579 | ||
6 | 0 | 0.13944 | 5.16159 | 4.49366 | 16 | 0 | 0.12222 | 5.17881 | 4.53648 |
10 | 0.13914 | 5.16189 | 4.49440 | 10 | 0.12195 | 5.17908 | 4.53718 | ||
20 | 0.13884 | 5.16219 | 4.49513 | 20 | 0.12167 | 5.17936 | 4.53787 | ||
30 | 0.13854 | 5.16249 | 4.49586 | 30 | 0.12140 | 5.17963 | 4.53856 | ||
40 | 0.13824 | 5.16279 | 4.49659 | 40 | 0.12113 | 5.17990 | 4.53925 | ||
50 | 0.13794 | 5.16309 | 4.49733 | 50 | 0.12085 | 5.18018 | 4.53994 | ||
7 | 0 | 0.13765 | 5.16338 | 4.49806 | 17 | 0 | 0.12058 | 5.18045 | 4.54063 |
10 | 0.13735 | 5.16368 | 4.49879 | 10 | 0.12031 | 5.18072 | 4.54132 | ||
20 | 0.13705 | 5.16398 | 4.49952 | 20 | 0.12004 | 5.18099 | 4.54201 | ||
30 | 0.13676 | 5.16427 | 4.50025 | 30 | 0.11977 | 5.18126 | 4.54269 | ||
40 | 0.13646 | 5.16457 | 4.50098 | 40 | 0.11949 | 5.18154 | 4.54338 | ||
50 | 0.13617 | 5.16486 | 4.50170 | 50 | 0.11922 | 5.18181 | 4.54407 | ||
8 | 0 | 0.13587 | 5.16516 | 4.50243 | 18 | 0 | 0.11895 | 5.18208 | 4.54475 |
10 | 0.13558 | 5.16545 | 4.50316 | 10 | 0.11868 | 5.18235 | 4.54544 | ||
20 | 0.13528 | 5.16575 | 4.50388 | 20 | 0.11842 | 5.18261 | 4.54612 | ||
30 | 0.13499 | 5.16604 | 4.50461 | 30 | 0.11815 | 5.18288 | 4.54680 | ||
40 | 0.13470 | 5.16633 | 4.50533 | 40 | 0.11788 | 5.18315 | 4.54749 | ||
50 | 0.13441 | 5.16662 | 4.50605 | 50 | 0.11761 | 5.18342 | 4.54817 | ||
9 | 0 | 0.13411 | 5.16692 | 4.50677 | 19 | 0 | 0.11734 | 5.18369 | 4.54885 |
10 | 0.13382 | 5.16721 | 4.50750 | 10 | 0.11708 | 5.18395 | 4.54953 | ||
20 | 0.13353 | 5.16750 | 4.50822 | 20 | 0.11681 | 5.18422 | 4.55021 | ||
30 | 0.13324 | 5.16779 | 4.50894 | 30 | 0.11654 | 5.18449 | 4.55089 | ||
40 | 0.13295 | 5.16808 | 4.50966 | 40 | 0.11628 | 5.18475 | 4.55157 | ||
50 | 0.13266 | 5.16837 | 4.51038 | 50 | 0.11601 | 5.18502 | 4.55225 |
I 2
[page] 68
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
3 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
20 | 0 | 0.11575 | 5.18528 | 4.55293 | 30 | 0 | 0.10053 | 5.20030 | 4.59244 |
10 | 0.11548 | 5.18555 | 4.55360 | 10 | 0.10029 | 5.20074 | 4.59308 | ||
20 | 0.11522 | 5.18581 | 4.55448 | 20 | 0.10005 | 5.20098 | 4.59372 | ||
30 | 0.11495 | 5.18608 | 4.55496 | 30 | 0.09981 | 5.20122 | 4.59436 | ||
40 | 0.11469 | 5.18634 | 4.55563 | 40 | 0.09957 | 5.20146 | 4.59500 | ||
50 | 0.11443 | 5.18660 | 4.55630 | 50 | 0.09933 | 5.20170 | 4.59564 | ||
21 | 0 | 0.11416 | 5.18687 | 4.55698 | 31 | 0 | 0.09909 | 5.20194 | 4.59627 |
10 | 0.11390 | 5.18713 | 4.55765 | 10 | 0.09885 | 5.20218 | 4.59691 | ||
20 | 0.11364 | 5.18739 | 4.55832 | 20 | 0.09861 | 5.20242 | 4.59755 | ||
30 | 0.11338 | 5.18765 | 4.55900 | 30 | 0.09837 | 5.20266 | 4.59818 | ||
40 | 0.11312 | 5.18791 | 4.55967 | 40 | 0.09813 | 5.20290 | 4.59882 | ||
50 | 0.11285 | 5.18818 | 4.56034 | 50 | 0.09789 | 5.40314 | 4.S9945 | ||
22 | 0 | 0.11259 | 5.18844 | 4.56101 | 32 | 0 | 0.09765 | 5.20338 | 4.60008 |
10 | 0.11233 | 5.18870 | 4.56168 | 10 | 0.09741 | 5.20362 | 4.60072 | ||
20 | 0.11207 | 5.18896 | 4.56235 | 20 | 0.09718 | 5.20385 | 4.60135 | ||
30 | 0.11181 | 5.18922 | 4.56301 | 30 | 0.09694 | 5.20409 | 4.60198 | ||
40 | 0.11155 | 5.18948 | 4.56368 | 40 | 0.09670 | 5.40433 | 4.60261 | ||
50 | 0.11130 | 5.18973 | 4.56435 | 50 | 0.09647 | 5.40456 | 4.60324 | ||
23 | 0 | 0.11104 | 5.18999 | 4.56501 | 33 | 0 | 0.09623 | 5.20480 | 4.60387 |
10 | 0.11078 | 5.19025 | 4.56568 | 10 | 0.09599 | 5.20504 | 4.60450 | ||
20 | 0.11052 | 5.19051 | 4.56634 | 20 | 0.09576 | 5.20527 | 4.60513 | ||
30 | 0.11027 | 5.19076 | 4.56701 | 30 | 0.09552 | 5.40551 | 4.60576 | ||
40 | 0.11001 | 5.19102 | 4.56767 | 40 | 0.09529 | 5.20574 | 4.60639 | ||
50 | 0.10975 | 5.19128 | 4.56834 | 50 | 0.09506 | 5.20597 | 4.60701 | ||
24 | 0 | 0.10950 | 5.19153 | 4.56900 | 34 | 0 | 0.09482 | 5.20621 | 4.60764 |
10 | 0.10924 | 5.19179 | 4.56966 | 10 | 0.09459 | 5.20644 | 4.60827 | ||
20 | 0.10899 | 5.19204 | 4.57032 | 20 | 0.09435 | 5.20668 | 4.60890 | ||
30 | 0.10873 | 5.19430 | 4.57098 | 30 | 0.09412 | 5.20691 | 4.60952 | ||
40 | 0.10848 | 5.19255 | 4.57164 | 40 | 0.09389 | 5.20714 | 4.61015 | ||
50 | 0.10822 | 5.19281 | 4.57430 | 50 | 0.09366 | 5.20737 | 4.61077 | ||
25 | 0 | 0.10797 | 5.19306 | 4.57296 | 35 | 0 | 0.09343 | 5.20760 | 4.61139 |
10 | 0.10772 | 5.19331 | 4.57362 | 10 | 0.09319 | 5.20784 | 4.61202 | ||
20 | 0.10746 | 5.19357 | 4.57448 | 20 | 0.09296 | 5.20807 | 4.61264 | ||
30 | 0.10721 | 5.19382 | 4.57494 | 30 | 0.09273 | 5.20830 | 4.61326 | ||
40 | 0.10696 | 5.19407 | 4.57559 | 40 | 0.09250 | 5.40853 | 4.61388 | ||
50 | 0.10671 | 5.19432 | 4.57625 | 50 | 0.09227 | 5.20876 | 4.61450 | ||
26 | 0 | 0.10646 | 0.19457 | 4.57690 | 36 | 0 | 0.09204 | 5.20899 | 4.61512 |
10 | 0.10620 | 5.19483 | 4.57756 | 10 | 0.09181 | 5.20922 | 4.61574 | ||
20 | 0.10595 | 5.19508 | 4.57821 | 20 | 0.09158 | 5.20945 | 4.61636 | ||
30 | 0.10473 | 5.19533 | 4.57806 | 30 | 0.09136 | 5.20967 | 4.61698 | ||
40 | 0.10545 | 5.19558 | 4.57951 | 40 | 0.09113 | 5.20990 | 4.61760 | ||
50 | 0.10520 | 5.19583 | 4.58017 | 50 | 0.09090 | 5.21013 | 4.61822 | ||
27 | 0 | 0.10495 | 5.19608 | 4.58082 | 37 | 0 | 0.09067 | 5.21036 | 4.61883 |
10 | 0.10471 | 5.19632 | 4.58147 | 10 | 0.09044 | 5.41059 | 4.61945 | ||
20 | 0.10446 | 5.19657 | 4.58212 | 20 | 0.09022 | 5.21081 | 4.62006 | ||
30 | 0.10421 | 5.19682 | 4.58277 | 30 | 0.08999 | 5.21104 | 4.62068 | ||
40 | 0.10396 | 5.19707 | 4.58344 | 40 | 0.08976 | 5.21127 | 4.62129 | ||
50 | 0.10371 | 5.19732 | 4.58407 | 50 | 0.08954 | 5.41149 | 4.62191 | ||
28 | 0 | 0.10347 | 5.19756 | 4.58471 | 38 | 0 | 0.08931 | 5.41172 | 4.62252 |
10 | 0.10322 | 5.19781 | 4.58536 | 10 | 0.08909 | 5.21194 | 4.62313 | ||
20 | 0.10297 | 5.19806 | 4.58601 | 20 | 0.08886 | 5.21217 | 4.62375 | ||
30 | 0.10272 | 5.19831 | 4.58665 | 30 | 0.08864 | 5.21239 | 4.62436 | ||
40 | 0.10248 | 5.19855 | 4.58730 | 40 | 0.08842 | 5.21261 | 4.62497 | ||
50 | 0.10224 | 5.19879 | 4.58794 | 50 | 0.08819 | 5.21284 | 4.62558 | ||
29 | 0 | 0.10199 | 5.19904 | 4.58859 | 39 | 0 | 0.08797 | 5.21306 | 4.62619 |
10 | 0.10175 | 5.19928 | 4.58923 | 10 | 0.08774 | 5.21329 | 4.62680 | ||
20 | 0.10151 | 5.19952 | 4.58988 | 20 | 0.08752 | 5.21351 | 4.62741 | ||
30 | 0.10126 | 5.19977 | 4.59054 | 30 | 0.08730 | 5.21373 | 4.62802 | ||
40 | 0.10102 | 5.20001 | 4.59116 | 40 | 0.08708 | 5.41395 | 4.62863 | ||
50 | 0.10078 | 5.20025 | 4.59180 | 50 | 0.08686 | 5.41417 | 4.62923 |
[page] 69
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
3 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
40 | 0 | 0.08664 | 5.21439 | 4.62984 | 50 | 0 | 0.07397 | 5.22706 | 4.66530 |
10 | 0.08641 | 5.21462 | 4.63045 | 10 | 0.07377 | 5.22726 | 4.66588 | ||
20 | 0.08619 | 5.21484 | 4.63105 | 20 | 0.07357 | 5.23746 | 4.66645 | ||
30 | 0.08597 | 5.21506 | 4.63166 | 30 | 0.07337 | 5.22766 | 4.66703 | ||
40 | 0.08575 | 5.21528 | 4.63226 | 40 | 0.07317 | 5.22786 | 4.66760 | ||
50 | 0.08553 | 5.21550 | 4.63287 | 50 | 0.07297 | 5.22806 | 4.66817 | ||
41 | 0 | 0.08511 | 5.21572 | 4.63347 | 51 | 0 | 0.07277 | 5.22826 | 4.66874 |
10 | 0.08531 | 5.21572 | 4.63407 | 10 | 0.07257 | 5.22846 | 4.66932 | ||
20 | 0.08488 | 5.21615 | 4.63468 | 20 | 0.07237 | 5.22866 | 4.66989 | ||
30 | 0.08466 | 5.21637 | 4.63528 | 30 | 0.07217 | 5.22886 | 4.67046 | ||
40 | 0.08444 | 5.31659 | 4.63588 | 40 | 0.07197 | 5.22906 | 4.67103 | ||
50 | 0.08422 | 5.21681 | 4.63648 | 50 | 0.07178 | 5.22925 | 4.67160 | ||
42 | 0 | 0.08401 | 5.21702 | 4.63708 | 52 | 0 | 0.07158 | 5.22945 | 4.67217 |
10 | 0.08379 | 5.21724 | 4.63768 | 10 | 0.07138 | 5.22965 | 4.67274 | ||
20 | 0.08357 | 5.21746 | 4.63828 | 20 | 0.07119 | 5.22984 | 4.67331 | ||
30 | 0.08336 | 5.21767 | 4.63888 | 30 | 0.07099 | 5.23004 | 4.67388 | ||
40 | 0.08314 | 5.21789 | 4.63948 | 40 | 0.07079 | 5.23024 | 4.67445 | ||
50 | 0.08293 | 5.21810 | 4.64008 | 50 | 0.07060 | 5.23043 | 4.67502 | ||
43 | 0 | 0.08271 | 5.21832 | 4.64068 | 53 | 0 | 0.07040 | 5.23063 | 4.67558 |
10 | 0.08250 | 5.21853 | 4.64127 | 10 | 0.07021 | 5.23082 | 4.67615 | ||
20 | 0.08228 | 5.21875 | 4.64187 | 20 | 0.07001 | 5.23102 | 4.67671 | ||
30 | 0.08207 | 5.21896 | 4.64246 | 30 | 0.06982 | 5.23121 | 4.67728 | ||
40 | 0.08185 | 5.21918 | 4.64306 | 40 | 0.06962 | 5.23141 | 4.67785 | ||
50 | 0.08164 | 5.21939 | 4.64365 | 50 | 0.06943 | 5.23160 | 4.67841 | ||
44 | 0 | 0.08143 | 5.21960 | 4.64425 | 54 | 0 | 0.06923 | 5.23180 | 4.67897 |
10 | 0.08121 | 5.21960 | 4.64484 | 10 | 0.06904 | 5.23199 | 4.67954 | ||
20 | 0.08100 | 5.21982 | 4.64544 | 20 | 0.06885 | 5.23218 | 4.68010 | ||
30 | 0.08079 | 5.22003 | 4.64603 | 30 | 0.06865 | 5.23238 | 4.68066 | ||
40 | 0.08059 | 5.22045 | 4.64662 | 40 | 0.06846 | 5.23257 | 4.68123 | ||
50 | 0.08036 | 5.22067 | 4.64762 | 50 | 0.06827 | 5.23276 | 4.68179 | ||
45 | 0 | 0.08015 | 5.22088 | 4.64780 | 55 | 0 | 0.06808 | 5.23295 | 4.68235 |
10 | 0.07994 | 5.22109 | 4.64839 | 10 | 0.06789 | 5.23314 | 4.68235 | ||
20 | 0.07973 | 5.22130 | 4.64898 | 20 | 0.06770 | 5.23333 | 4.68291 | ||
30 | 0.07952 | 5.22151 | 4.64957 | 30 | 0.06751 | 5.23352 | 4.68347 | ||
40 | 0.07931 | 5.22172 | 4.65016 | 40 | 0.06731 | 5.23372 | 4.68403 | ||
50 | 0.07910 | 5.22193 | 4.65075 | 50 | 0.06712 | 5.23391 | 4.68515 | ||
46 | 0 | 0.07889 | 5.22214 | 4.65134 | 56 | 0 | 0.06693 | 5.23410 | 4.68571 |
10 | 0.07868 | 5.22235 | 4.65193 | 10 | 0.06674 | 5.23429 | 4.68627 | ||
20 | 0.07848 | 5.22255 | 4.65251 | 20 | 0.06656 | 5.23447 | 4.68682 | ||
30 | 0.07827 | 5.22276 | 4.65310 | 30 | 0.06636 | 5.23466 | 4.68738 | ||
40 | 0.07806 | 5.22297 | 4.65369 | 40 | 0.06618 | 5.23485 | 4.68794 | ||
50 | 0.07785 | 5.22318 | 4.65427 | 50 | 0.06599 | 5.23504 | 4.68849 | ||
47 | 0 | 0.07765 | 5.22338 | 4.65486 | 57 | 0 | 0.06580 | 5.23523 | 4.68905 |
10 | 0.07744 | 5.22359 | 4.65544 | 10 | 0.06561 | 5.23542 | 4.68960 | ||
20 | 0.07723 | 5.22380 | 4.65602 | 20 | 0.06543 | 5.23560 | 4.69016 | ||
30 | 0.07703 | 5.22400 | 4.65661 | 30 | 0.06524 | 5.23579 | 4.69071 | ||
40 | 0.07682 | 5.22421 | 4.65719 | 40 | 0.06505 | 5.23598 | 4.69127 | ||
50 | 0.07661 | 5.22442 | 4.65777 | 50 | 0.06487 | 5.23616 | 4.69182 | ||
48 | 0 | 0.07641 | 5.22462 | 4.65836 | 58 | 0 | 0.06468 | 5.23635 | 4.69237 |
10 | 0.07620 | 5.22483 | 4.65895 | 10 | 0.06449 | 5.23654 | 4.69292 | ||
20 | 0.07600 | 5.22503 | 4.65952 | 20 | 0.06431 | 5.23672 | 4.69348 | ||
30 | 0.07579 | 5.22524 | 4.66010 | 30 | 0.06412 | 5.23691 | 4.69403 | ||
40 | 0.07559 | 5.22544 | 4.66068 | 40 | 0.06394 | 5.23709 | 4.69458 | ||
50 | 0.07539 | 5.22564 | 4.66126 | 50 | 0.06375 | 5.23728 | 4.69513 | ||
49 | 0 | 0.07518 | 5.22585 | 4.66184 | 59 | 0 | 0.06357 | 5.23746 | 4.69568 |
10 | 0.07498 | 5.22605 | 4.66241 | 10 | 0.06338 | 5.23765 | 4.69568 | ||
20 | 0.07478 | 5.22625 | 4.66299 | 20 | 0.06320 | 5.23783 | 4.69623 | ||
30 | 0.07458 | 5.22645 | 4.66357 | 30 | 0.06302 | 5.23801 | 4.69678 | ||
40 | 0.07437 | 5.22666 | 4.66415 | 40 | 0.06283 | 5.23820 | 4.69787 | ||
50 | 0.07417 | 5.22686 | 4.66472 | 50 | 0.06265 | 5.23838 | 4.69842 |
[page] 70
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
4 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
0 | 0 | 0.06247 | 5.23856 | 4.69897 | 10 | 0 | 0.05207 | 5.24896 | 4.73098 |
10 | 0.06229 | 5.23874 | 4.69952 | 10 | 0.05191 | 5.24912 | 4.73098 | ||
20 | 0.06211 | 5.23892 | 4.70006 | 20 | 0.05174 | 5.24929 | 4.73150 | ||
30 | 0.06192 | 5.23911 | 4.70061 | 30 | 0.05158 | 5.24945 | 4.73202 | ||
40 | 0.06174 | 5.23929 | 4.70115 | 40 | 0.05142 | 5.24965 | 4.73306 | ||
50 | 0.06156 | 5.23947 | 4.70170 | 50 | 0.05125 | 5.24978 | 4.73358 | ||
1 | 0 | 0.06138 | 5.23965 | 4.70224 | 11 | 0 | 0.05109 | 5.24994 | 4.73410 |
10 | 0.06120 | 5.23983 | 4.70279 | 10 | 0.05093 | 5.25010 | 4.73462 | ||
20 | 0.06102 | 5.24001 | 4.70333 | 20 | 0.05076 | 5.25027 | 4.73512 | ||
30 | 0.06084 | 5.24019 | 4.70389 | 30 | 0.05060 | 5.25043 | 4.73565 | ||
40 | 0.06066 | 5.24037 | 4.70442 | 40 | 0.05044 | 5.25059 | 4.73617 | ||
50 | 0.06048 | 5.24055 | 4.70496 | 50 | 0.05028 | 5.25075 | 4.73668 | ||
2 | 0 | 0.06030 | 5.24073 | 4.70550 | 12 | 0 | 0.05012 | 5.25091 | 4.73720 |
10 | 0.06012 | 5.24091 | 4.70604 | 10 | 0.04996 | 5.25107 | 4.73772 | ||
20 | 0.05995 | 5.24108 | 4.70658 | 20 | 0.04980 | 5.25123 | 4.73823 | ||
30 | 0.05977 | 5.24126 | 4.70712 | 30 | 0.04964 | 5.25139 | 4.73874 | ||
40 | 0.05959 | 5.24144 | 4.70766 | 40 | 0.04948 | 5.25155 | 4.73926 | ||
50 | 0.05941 | 5.24162 | 4.70820 | 50 | 0.04932 | 5.25171 | 4.73977 | ||
3 | 0 | 0.05924 | 5.24179 | 4.70874 | 13 | 0 | 0.04916 | 5.25187 | 4.74028 |
10 | 0.05906 | 5.24197 | 4.70928 | 10 | 0.04900 | 5.25203 | 4.74080 | ||
20 | 0.05888 | 5.24215 | 4.70982 | 20 | 0.04884 | 5.25219 | 4.74131 | ||
30 | 0.05871 | 5.24232 | 4.71036 | 30 | 0.04868 | 5.25235 | 4.74182 | ||
40 | 0.05853 | 5.24250 | 4.71089 | 40 | 0.04852 | 5.25251 | 4.74233 | ||
50 | 0.05836 | 5.24267 | 4.71143 | 50 | 0.04837 | 5.25266 | 4.74284 | ||
4 | 0 | 0.05818 | 5.24285 | 4.71197 | 14 | 0 | 0.04821 | 5.25282 | 4.74335 |
10 | 0.05801 | 5.24302 | 4.71250 | 10 | 0.04805 | 5.25298 | 4.74386 | ||
20 | 0.05783 | 5.24320 | 4.71304 | 20 | 0.04789 | 5.25314 | 4.74437 | ||
30 | 0.05766 | 5.24337 | 4.71357 | 30 | 0.04774 | 5.25329 | 4.74488 | ||
40 | 0.05748 | 5.24355 | 4.71411 | 40 | 0.04758 | 5.25345 | 4.74539 | ||
50 | 0.05731 | 5.24372 | 4.71464 | 50 | 0.04743 | 5.25360 | 4.74590 | ||
5 | 0 | 0.05714 | 5.24389 | 4.71518 | 15 | 0 | 0.04727 | 5.25376 | 4.74641 |
10 | 0.05696 | 5.24407 | 4.71571 | 10 | 0.04711 | 5.25392 | 4.74692 | ||
20 | 0.05679 | 5.24424 | 4.71624 | 20 | 0.04696 | 5.25407 | 4.74742 | ||
30 | 0.05662 | 5.24441 | 4.71678 | 30 | 0.04680 | 5.25423 | 4.74793 | ||
40 | 0.05645 | 5.24458 | 4.71731 | 40 | 0.04665 | 5.25438 | 4.74844 | ||
50 | 0.05627 | 5.24476 | 4.71784 | 50 | 0.04649 | 5.25454 | 4.74894 | ||
6 | 0 | 0.05610 | 5.24493 | 4.71837 | 16 | 0 | 0.04634 | 5.25469 | 4.74945 |
10 | 0.05593 | 5.24510 | 4.71890 | 10 | 0.04619 | 5.25484 | 4.74995 | ||
20 | 0.05576 | 5.24527 | 4.71943 | 20 | 0.04603 | 5.25500 | 4.74046 | ||
30 | 0.05559 | 5.24544 | 4.71996 | 30 | 0.04588 | 5.25515 | 4.74096 | ||
40 | 0.05542 | 5.24561 | 4.72046 | 40 | 0.04573 | 5.25530 | 4.75147 | ||
50 | 0.05525 | 5.24578 | 4.72102 | 50 | 0.04557 | 5.25546 | 4.75197 | ||
7 | 0 | 0.05508 | 5.24595 | 4.72155 | 17 | 0 | 0.04542 | 5.25561 | 4.75247 |
10 | 0.05491 | 5.24612 | 4.72155 | 10 | 0.04527 | 5.25576 | 4.75298 | ||
20 | 0.05474 | 5.24629 | 4.72208 | 20 | 0.04512 | 5.25591 | 4.75348 | ||
30 | 0.05457 | 5.24646 | 4.72260 | 30 | 0.04496 | 5.25607 | 4.75398 | ||
40 | 0.05440 | 5.24663 | 4.72313 | 40 | 0.04481 | 5.25622 | 4.75448 | ||
50 | 0.05423 | 5.24680 | 4.72418 | 50 | 0.04466 | 5.25637 | 4.75498 | ||
8 | 0 | 0.05406 | 5.24697 | 4.72471 | 18 | 0 | 0.04451 | 5.25652 | 4.75549 |
10 | 0.05389 | 5.24714 | 4.72523 | 10 | 0.04436 | 5.25667 | 4.75599 | ||
20 | 0.05373 | 5.24730 | 4.72576 | 20 | 0.04421 | 5.25682 | 4.75649 | ||
30 | 0.05356 | 5.24747 | 4.72628 | 30 | 0.04406 | 5.25697 | 4.75699 | ||
40 | 0.05340 | 5.24763 | 4.72681 | 40 | 0.04391 | 5.25712 | 4.75748 | ||
50 | 0.05323 | 5.24780 | 4.72733 | 50 | 0.04376 | 5.25727 | 4.75798 | ||
9 | 0 | 0.05306 | 5.24797 | 4.72785 | 19 | 0 | 0.04361 | 5.25742 | 4.75848 |
10 | 0.05290 | 5.24813 | 4.72838 | 10 | 0.04346 | 5.25757 | 4.75898 | ||
20 | 0.05273 | 5.24830 | 4.72890 | 20 | 0.04332 | 5.25771 | 4.75948 | ||
30 | 0.05257 | 5.24846 | 4.72942 | 30 | 0.04317 | 5.25786 | 4.75997 | ||
40 | 0.05240 | 5.24863 | 4.72994 | 40 | 0.04302 | 5.25801 | 4.76047 | ||
50 | 0.05224 | 5.24879 | 4.73046 | 50 | 0.04287 | 5.25816 | 4.76097 |
[page] 71
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
4 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
20 | 0 | 0.04272 | 5.25831 | 4.76146 | 30 | 0 | 0.03438 | 5.26665 | 4.79051 |
10 | 0.04258 | 5.25845 | 4.76196 | 10 | 0.03425 | 5.26678 | 4.79098 | ||
20 | 0.04243 | 5.25860 | 4.76245 | 20 | 0.03412 | 5.26691 | 4.79145 | ||
30 | 0.04228 | 5.25875 | 4.76295 | 30 | 0.03399 | 5.26704 | 4.79192 | ||
40 | 0.04214 | 5.25889 | 4.76344 | 40 | 0.03386 | 5.26717 | 4.79240 | ||
50 | 0.04199 | 5.25904 | 4.76394 | 50 | 0.03373 | 5.26730 | 4.79287 | ||
21 | 0 | 0.04185 | 5.25918 | 4.76443 | 31 | 0 | 0.03360 | 5.26743 | 4.79334 |
10 | 0.04170 | 5.25933 | 4.76492 | 10 | 0.03348 | 5.26755 | 4.79381 | ||
20 | 0.04155 | 5.25948 | 4.76542 | 20 | 0.03335 | 5.26768 | 4.79428 | ||
30 | 0.04141 | 5.25962 | 4.76591 | 30 | 0.03322 | 5.26781 | 4.79475 | ||
40 | 0.04127 | 5.25976 | 4.76640 | 40 | 0.03309 | 5.26794 | 4.79522 | ||
50 | 0.04112 | 5.25991 | 4.76689 | 50 | 0.03296 | 5.26807 | 4.79568 | ||
22 | 0 | 0.04098 | 5.26005 | 4.76738 | 32 | 0 | 0.03283 | 5.26820 | 4.79615 |
10 | 0.04083 | 5.26020 | 4.76787 | 10 | 0.03271 | 5.26832 | 4.79662 | ||
20 | 0.04069 | 5.26034 | 4.76836 | 20 | 0.03258 | 5.26845 | 4.79709 | ||
30 | 0.04055 | 5.26048 | 4.76885 | 30 | 0.03245 | 5.26858 | 4.79756 | ||
40 | 0.04040 | 5.26063 | 4.76934 | 40 | 0.03233 | 5.26870 | 4.79802 | ||
50 | 0.04026 | 5.26077 | 4.76983 | 50 | 0.03220 | 5.26883 | 4.79849 | ||
23 | 0 | 0.04012 | 5.26091 | 4.77032 | 33 | 0 | 0.03207 | 5.26896 | 4.79896 |
10 | 0.03998 | 5.26105 | 4.77081 | 10 | 0.03195 | 5.26908 | 4.79942 | ||
20 | 0.03983 | 5.26120 | 4.77130 | 20 | 0.03182 | 5.26921 | 4.79989 | ||
30 | 0.03969 | 5.26134 | 4.77179 | 30 | 0.03170 | 5.26933 | 4.80035 | ||
40 | 0.03955 | 5.26148 | 4.77227 | 40 | 0.03157 | 5.26946 | 4.80082 | ||
50 | 0.03941 | 5.26162 | 4.77276 | 50 | 0.03145 | 5.26958 | 4.80128 | ||
24 | 0 | 0.03927 | 5.26176 | 4.77325 | 34 | 0 | 0.03132 | 5.26971 | 4.80175 |
10 | 0.03913 | 5.26190 | 4.77373 | 10 | 0.03120 | 5.26983 | 4.80221 | ||
20 | 0.03899 | 5.26204 | 4.77422 | 20 | 0.03107 | 5.26996 | 4.80267 | ||
30 | 0.03885 | 5.26218 | 4.77470 | 30 | 0.03095 | 5.27008 | 4.80314 | ||
40 | 0.03871 | 5.26232 | 4.77519 | 40 | 0.03083 | 5.27020 | 4.80360 | ||
50 | 0.03857 | 5.26246 | 4.77567 | 50 | 0.03070 | 5.27033 | 4.80406 | ||
25 | 0 | 0.03843 | 5.26260 | 4.77616 | 35 | 0 | 0.03058 | 5.27045 | 4.80452 |
10 | 0.03829 | 5.26274 | 4.77664 | 10 | 0.03046 | 5.27057 | 4.80498 | ||
20 | 0.03815 | 5.26288 | 4.77713 | 20 | 0.03034 | 5.27069 | 4.80544 | ||
30 | 0.03802 | 5.26301 | 4.77761 | 30 | 0.03021 | 5.27082 | 4.80591 | ||
40 | 0.03788 | 5.26315 | 4.77809 | 40 | 0.03009 | 5.27094 | 4.80637 | ||
50 | 0.03774 | 5.26329 | 4.77857 | 50 | 0.02997 | 5.27106 | 4.80683 | ||
26 | 0 | 0.03760 | 5.26343 | 4.77906 | 36 | 0 | 0.02985 | 5.27118 | 4.80729 |
10 | 0.03746 | 5.26357 | 4.77954 | 10 | 0.02973 | 5.27130 | 4.80775 | ||
20 | 0.03733 | 5.26370 | 4.78002 | 20 | 0.02961 | 5.27142 | 4.80820 | ||
30 | 0.03719 | 5.26384 | 4.78050 | 30 | 0.02949 | 5.27154 | 4.80866 | ||
40 | 0.03706 | 5.26397 | 4.78098 | 40 | 0.02937 | 5.27166 | 4.80912 | ||
50 | 0.03692 | 5.26411 | 4.78146 | 50 | 0.02925 | 5.27178 | 4.80958 | ||
27 | 0 | 0.03678 | 5.26425 | 4.78194 | 37 | 0 | 0.02913 | 5.27190 | 4.81004 |
10 | 0.03665 | 5.26438 | 4.78242 | 10 | 0.02901 | 5.27202 | 4.81049 | ||
20 | 0.03651 | 5.26452 | 4.78290 | 20 | 0.02889 | 5.27214 | 4.81095 | ||
30 | 0.03638 | 5.26465 | 4.78338 | 30 | 0.02877 | 5.27226 | 4.81141 | ||
40 | 0.03624 | 5.26479 | 4.78385 | 40 | 0.02865 | 5.27238 | 4.81186 | ||
50 | 0.03611 | 5.26492 | 4.78433 | 50 | 0.02853 | 5.27250 | 4.81232 | ||
28 | 0 | 0.03597 | 5.26506 | 4.78481 | 38 | 0 | 0.02841 | 5.27262 | 4.81277 |
10 | 0.03584 | 5.26519 | 4.78529 | 10 | 0.02829 | 5.27274 | 4.81323 | ||
20 | 0.03571 | 5.26532 | 4.78576 | 20 | 0.02818 | 5.27285 | 4.81368 | ||
30 | 0.03557 | 5.26546 | 4.78624 | 30 | 0.02806 | 5.27297 | 4.81414 | ||
40 | 0.03544 | 5.26559 | 4.78671 | 40 | 0.02794 | 5.27309 | 4.81459 | ||
50 | 0.03531 | 5.26572 | 4.78719 | 50 | 0.02783 | 5.27320 | 4.81505 | ||
29 | 0 | 0.03517 | 5.26586 | 4.78767 | 39 | 0 | 0.02771 | 5.27332 | 4.81550 |
10 | 0.03504 | 5.26599 | 4.78814 | 10 | 0.02759 | 5.27344 | 4.81595 | ||
20 | 0.03491 | 5.26612 | 4.78861 | 20 | 0.02748 | 5.27355 | 4.81641 | ||
30 | 0.03478 | 5.26625 | 4.78908 | 30 | 0.02736 | 5.27367 | 4.81686 | ||
40 | 0.03465 | 5.26638 | 4.78956 | 40 | 0.02724 | 5.27379 | 4.81731 | ||
50 | 0.03452 | 5.26651 | 4.79003 | 50 | 0.02713 | 5.27390 | 4.81776 |
[page] 72
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
4 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
40 | 0 | 0.02701 | 5.27402 | 4.81821 | 50 | 0 | 0.02058 | 5.28045 | 4.84466 |
10 | 0.02690 | 5.27413 | 4.81866 | 10 | 0.02048 | 5.28055 | 4.84509 | ||
20 | 0.02678 | 5.27425 | 4.81911 | 20 | 0.02038 | 5.28065 | 4.84552 | ||
30 | 0.02667 | 5.27436 | 4.81956 | 30 | 0.02028 | 5.28075 | 4.84595 | ||
40 | 0.02656 | 5.27446 | 4.82001 | 40 | 0.02018 | 5.28085 | 4.84638 | ||
50 | 0.02644 | 5.27459 | 4.82046 | 50 | 0.02009 | 5.28094 | 4.84681 | ||
41 | 0 | 0.02633 | 5.27470 | 4.82091 | 51 | 0 | 0.01999 | 5.28104 | 4.84724 |
10 | 0.02622 | 5.27481 | 4.82136 | 10 | 0.01989 | 5.28114 | 4.84767 | ||
20 | 0.02610 | 5.27493 | 4.82181 | 20 | 0.01979 | 5.28124 | 4.84810 | ||
30 | 0.02599 | 5.27504 | 4.82226 | 30 | 0.01969 | 5.28134 | 4.84852 | ||
40 | 0.02588 | 5.27515 | 4.82271 | 40 | 0.01960 | 5.28143 | 4.84898 | ||
50 | 0.02577 | 5.27526 | 4.82315 | 50 | 0.01950 | 5.28153 | 4.84938 | ||
42 | 0 | 0.02565 | 5.27538 | 4.82360 | 52 | 0 | 0.01940 | 5.28163 | 4.84981 |
10 | 0.02554 | 5.27549 | 4.82405 | 10 | 0.01931 | 5.28172 | 4.85023 | ||
20 | 0.02543 | 5.27560 | 4.82449 | 20 | 0.01921 | 5.28182 | 4.85066 | ||
30 | 0.02532 | 5.27571 | 4.82494 | 30 | 0.01912 | 5.28191 | 4.85108 | ||
40 | 0.02521 | 5.27582 | 4.82538 | 40 | 0.01902 | 5.28201 | 4.85151 | ||
50 | 0.02510 | 5.27593 | 4.82583 | 40 | 0.01892 | 5.28211 | 4.85194 | ||
43 | 0 | 0.02499 | 5.27604 | 4.82628 | 53 | 0 | 0.01883 | 5.28220 | 4.85236 |
10 | 0.02488 | 5.27615 | 4.82672 | 10 | 0.01873 | 5.28230 | 4.85278 | ||
20 | 0.02477 | 5.27626 | 4.82716 | 20 | 0.01864 | 5.28239 | 4.85321 | ||
30 | 0.02466 | 5.27637 | 4.82761 | 30 | 0.01854 | 5.28249 | 4.85363 | ||
40 | 0.02455 | 5.27648 | 4.82805 | 40 | 0.01845 | 5.28258 | 4.85406 | ||
50 | 0.02444 | 5.27659 | 4.82850 | 50 | 0.01836 | 5.28267 | 4.85448 | ||
44 | 0 | 0.02433 | 5.27670 | 4.82894 | 54 | 0 | 0.01826 | 5.28277 | 4.85490 |
10 | 0.02422 | 5.27681 | 4.82938 | 10 | 0.01817 | 5.28286 | 4.85533 | ||
20 | 0.02411 | 5.27692 | 4.82982 | 20 | 0.01808 | 5.28295 | 4.85575 | ||
30 | 0.02400 | 5.27703 | 4.83026 | 30 | 0.01798 | 5.28305 | 4.85617 | ||
40 | 0.02390 | 5.27713 | 4.83071 | 40 | 0.01789 | 5.28314 | 4.85659 | ||
50 | 0.02379 | 5.27724 | 4.83115 | 50 | 0.01780 | 5.28323 | 4.85701 | ||
45 | 0 | 0.02368 | 5.27735 | 4.83159 | 55 | 0 | 0.01771 | 5.28332 | 4.85744 |
10 | 0.02357 | 5.27746 | 4.83203 | 10 | 0.01761 | 5.28342 | 4.85786 | ||
20 | 0.02347 | 5.27756 | 4.83247 | 20 | 0.01752 | 5.28351 | 4.85828 | ||
30 | 0.02336 | 5.27767 | 4.83291 | 30 | 0.01743 | 5.28360 | 4.85870 | ||
40 | 0.02326 | 5.27777 | 4.83335 | 40 | 0.01734 | 5.28369 | 4.85912 | ||
50 | 0.02315 | 5.27788 | 4.83379 | 50 | 0.01725 | 5.28378 | 4.85954 | ||
46 | 0 | 0.02304 | 5.27799 | 4.83423 | 56 | 0 | 0.01716 | 5.28387 | 4.85996 |
10 | 0.02294 | 5.27809 | 4.83467 | 10 | 0.01707 | 5.28396 | 4.86037 | ||
20 | 0.02283 | 5.27820 | 4.83510 | 20 | 0.01698 | 5.28405 | 4.86079 | ||
30 | 0.02273 | 5.27830 | 4.83554 | 30 | 0.01689 | 5.28414 | 4.86121 | ||
40 | 0.02262 | 5.27841 | 4.83598 | 40 | 0.01680 | 5.28423 | 4.86163 | ||
50 | 0.02252 | 5.27851 | 4.83642 | 50 | 0.01671 | 5.28432 | 4.86203 | ||
47 | 0 | 0.02241 | 5.27862 | 4.83685 | 57 | 0 | 0.01662 | 5.28441 | 4.86246 |
10 | 0.02231 | 5.27872 | 4.83729 | 10 | 0.01653 | 5.28450 | 4.86288 | ||
20 | 0.02221 | 5.27882 | 4.83773 | 20 | 0.01644 | 5.28459 | 4.86330 | ||
30 | 0.02210 | 5.27893 | 4.83816 | 30 | 0.01635 | 5.28468 | 4.86372 | ||
40 | 0.02200 | 5.27903 | 4.83860 | 40 | 0.01626 | 5.28477 | 4.86413 | ||
50 | 0.02190 | 5.27913 | 4.83903 | 50 | 0.01618 | 5.28485 | 4.86455 | ||
48 | 0 | 0.02179 | 5.27924 | 4.83947 | 58 | 0 | 0.01609 | 5.28494 | 4.86496 |
10 | 0.02169 | 5.27934 | 4.83990 | 10 | 0.01600 | 5.28503 | 4.86538 | ||
20 | 0.02159 | 5.27944 | 4.84034 | 20 | 0.01591 | 5.28512 | 4.86579 | ||
30 | 0.02149 | 5.27954 | 4.84077 | 30 | 0.01583 | 5.28520 | 4.86621 | ||
40 | 0.02139 | 5.27964 | 4.84120 | 40 | 0.01574 | 5.28529 | 4.86662 | ||
50 | 0.02128 | 5.27975 | 4.84164 | 50 | 0.01565 | 5.28538 | 4.86704 | ||
49 | 0 | 0.02118 | 5.27985 | 4.84207 | 59 | 0 | 0.01557 | 5.28546 | 4.86745 |
10 | 0.02108 | 5.27995 | 4.84250 | 10 | 0.01548 | 5.28555 | 4.86786 | ||
20 | 0.02098 | 5.28005 | 4.84293 | 20 | 0.01540 | 5.28563 | 4.86828 | ||
30 | 0.02088 | 5.28015 | 4.84337 | 30 | 0.01531 | 5.28572 | 4.86869 | ||
40 | 0.02078 | 5.28025 | 4.84380 | 40 | 0.01523 | 5.28580 | 4.86910 | ||
50 | 0.02068 | 5.28035 | 4.84423 | 50 | 0.01514 | 5.28589 | 4.86951 |
[page] 73
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
5 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
0 | 0 | 0.01506 | 5.28597 | 4.86992 | 10 | 0 | 0.01042 | 5.29061 | 4.89407 |
10 | 0.01497 | 5.28606 | 4.87034 | 10 | 0.01035 | 5.29068 | 4.89447 | ||
20 | 0.01489 | 5.28614 | 4.87075 | 20 | 0.01028 | 5.29075 | 4.89486 | ||
30 | 0.01480 | 5.28623 | 4.87116 | 30 | 0.01021 | 5.29082 | 4.89525 | ||
40 | 0.01472 | 5.28631 | 4.87157 | 40 | 0.01014 | 5.29089 | 4.89564 | ||
50 | 0.01464 | 5.28639 | 4.87198 | 50 | 0.01007 | 5.29096 | 4.89604 | ||
1 | 0 | 0.01455 | 5.28648 | 4.87239 | 11 | 0 | 0.01000 | 5.29103 | 4.89643 |
10 | 0.01447 | 5.28656 | 4.87280 | 10 | 0.00993 | 5.29110 | 4.89682 | ||
20 | 0.01439 | 5.28664 | 4.87321 | 20 | 0.00987 | 5.29116 | 4.89721 | ||
30 | 0.01430 | 5.28673 | 4.87361 | 30 | 0.00980 | 5.29123 | 4.89760 | ||
40 | 0.01422 | 5.28681 | 4.87402 | 40 | 0.00973 | 5.29130 | 4.89799 | ||
50 | 0.01414 | 5.28689 | 4.87443 | 50 | 0.00966 | 5.29137 | 4.89838 | ||
2 | 0 | 0.01406 | 5.28697 | 4.87484 | 12 | 0 | 0.00960 | 5.29143 | 4.89877 |
10 | 0.01398 | 5.28705 | 4.87525 | 10 | 0.00953 | 5.29150 | 4.89916 | ||
20 | 0.01390 | 5.28713 | 4.87566 | 20 | 0.00946 | 5.29157 | 4.89955 | ||
30 | 0.01381 | 5.28722 | 4.87606 | 30 | 0.00940 | 5.29163 | 4.89994 | ||
40 | 0.01371 | 5.28730 | 4.87647 | 40 | 0.00933 | 5.29170 | 4.90033 | ||
50 | 0.01365 | 5.28738 | 4.87688 | 50 | 0.00926 | 5.29177 | 4.90072 | ||
3 | 0 | 0.01357 | 5.28746 | 4.87728 | 13 | 0 | 0.00920 | 5.29183 | 4.90111 |
10 | 0.01349 | 5.28754 | 4.87769 | 10 | 0.00913 | 5.29183 | 4.90149 | ||
20 | 0.01341 | 5.28762 | 4.87809 | 20 | 0.00907 | 5.29196 | 4.90188 | ||
30 | 0.01333 | 5.28770 | 4.87850 | 30 | 0.00900 | 5.29203 | 4.90227 | ||
40 | 0.01325 | 5.28778 | 4.87890 | 40 | 0.00894 | 5.29209 | 4.90266 | ||
50 | 0.01317 | 5.28786 | 4.87931 | 50 | 0.00887 | 5.29216 | 4.90305 | ||
4 | 0 | 0.01310 | 5.28793 | 4.87971 | 14 | 0 | 0.00881 | 5.29222 | 4.90345 |
10 | 0.01302 | 5.28801 | 4.88012 | 10 | 0.00874 | 5.29229 | 4.90382 | ||
20 | 0.01294 | 5.28809 | 4.88052 | 20 | 0.00868 | 5.29235 | 4.90421 | ||
30 | 0.01286 | 5.28817 | 4.88093 | 30 | 0.00862 | 5.29241 | 4.90459 | ||
40 | 0.01278 | 5.28825 | 4.88133 | 40 | 0.00855 | 5.29248 | 4.90498 | ||
50 | 0.01270 | 5.28833 | 4.88173 | 50 | 0.00849 | 5.29254 | 4.90536 | ||
5 | 0 | 0.01263 | 5.28840 | 4.88213 | 15 | 0 | 0.00843 | 5.29260 | 4.90575 |
10 | 0.01255 | 5.28848 | 4.88254 | 10 | 0.00836 | 5.29267 | 4.90613 | ||
20 | 0.01247 | 5.28856 | 4.88294 | 20 | 0.00830 | 5.29273 | 4.90652 | ||
30 | 0.01240 | 5.28863 | 4.88334 | 30 | 0.00824 | 5.29279 | 4.90690 | ||
40 | 0.01232 | 5.28871 | 4.88374 | 40 | 0.00818 | 5.29285 | 4.90728 | ||
50 | 0.01224 | 5.28879 | 4.88414 | 50 | 0.00811 | 5.29292 | 4.90767 | ||
6 | 0 | 0.01217 | 5.28886 | 4.88454 | 16 | 0 | 0.00805 | 5.29298 | 4.90805 |
10 | 0.01209 | 5.28894 | 4.88494 | 10 | 0.00799 | 5.29304 | 4.90843 | ||
20 | 0.01202 | 5.28901 | 4.88534 | 20 | 0.00793 | 5.29310 | 4.90882 | ||
30 | 0.01194 | 5.28909 | 4.88574 | 30 | 0.00787 | 5.29316 | 4.90920 | ||
40 | 0.01187 | 5.28916 | 4.88614 | 40 | 0.00781 | 5.29322 | 4.90958 | ||
50 | 0.01179 | 5.28924 | 4.88654 | 50 | 0.00775 | 5.29328 | 4.90996 | ||
7 | 0 | 0.01172 | 5.28931 | 4.88694 | 17 | 0 | 0.00769 | 5.29334 | 4.91034 |
10 | 0.01164 | 5.28939 | 4.88734 | 10 | 0.00763 | 5.29340 | 4.91073 | ||
20 | 0.01157 | 5.28946 | 4.88774 | 20 | 0.00757 | 5.29346 | 4.91111 | ||
30 | 0.01150 | 5.28953 | 4.88814 | 30 | 0.00751 | 5.29352 | 4.91149 | ||
40 | 0.01142 | 5.28961 | 4.88853 | 40 | 0.00745 | 5.29358 | 4.91187 | ||
50 | 0.01135 | 5.28968 | 4.88893 | 50 | 0.00739 | 5.29364 | 4.91225 | ||
8 | 0 | 0.01128 | 5.28975 | 4.88933 | 18 | 0 | 0.00733 | 5.29370 | 4.91263 |
10 | 0.01120 | 5.28983 | 4.88973 | 10 | 0.00728 | 5.29375 | 4.91301 | ||
20 | 0.01113 | 5.28990 | 4.89012 | 20 | 0.00722 | 5.29381 | 4.91339 | ||
30 | 0.01106 | 5.28997 | 4.89052 | 30 | 0.00716 | 5.29387 | 4.91377 | ||
40 | 0.01099 | 5.29004 | 4.89091 | 40 | 0.00710 | 5.29393 | 4.91415 | ||
50 | 0.01091 | 5.29012 | 4.89131 | 50 | 0.00704 | 5.29399 | 4.91452 | ||
9 | 0 | 0.01084 | 5.29019 | 4.89171 | 19 | 0 | 0.00699 | 5.29404 | 4.91490 |
10 | 0.01077 | 5.29026 | 4.89210 | 10 | 0.00693 | 5.29410 | 4.91528 | ||
20 | 0.01070 | 5.29033 | 4.89250 | 20 | 0.00687 | 5.29416 | 4.91566 | ||
30 | 0.01063 | 5.29040 | 4.89289 | 30 | 0.00682 | 5.29421 | 4.91603 | ||
40 | 0.01056 | 5.29047 | 4.89328 | 40 | 0.00676 | 5.29427 | 4.91641 | ||
50 | 0.01049 | 5.29054 | 4.89368 | 50 | 0.00670 | 5.29433 | 4.91679 |
K
[page] 74
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
5 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
20 | 0 | 0.00665 | 5.29438 | 4.91716 | 30 | 0 | 0.00373 | 5.29730 | 4.93926 |
10 | 0.00659 | 5.29444 | 4.91754 | 10 | 0.00369 | 5.29734 | 4.93962 | ||
20 | 0.00654 | 5.29449 | 4.91792 | 20 | 0.00365 | 5.29738 | 4.93998 | ||
30 | 0.00648 | 5.29455 | 4.91830 | 30 | 0.00361 | 5.29742 | 4.94034 | ||
40 | 0.00643 | 5.29460 | 4.91867 | 40 | 0.00357 | 5.29746 | 4.94069 | ||
50 | 0.00637 | 5.29466 | 4.91904 | 50 | 0.00353 | 5.29750 | 4.94105 | ||
21 | 0 | 0.00632 | 5.29471 | 4.91942 | 31 | 0 | 0.00349 | 5.29754 | 4.94141 |
10 | 0.00632 | 5.29477 | 4.91979 | 10 | 0.00345 | 5.29758 | 4.94177 | ||
20 | 0.00626 | 5.29482 | 4.92017 | 20 | 0.00341 | 5.29762 | 4.94213 | ||
30 | 0.00621 | 5.29487 | 4.92054 | 30 | 0.00337 | 5.29766 | 4.94249 | ||
40 | 0.00610 | 5.29493 | 4.92092 | 40 | 0.00333 | 5.29770 | 4.94284 | ||
50 | 0.00605 | 5.29498 | 4.92129 | 50 | 0.00329 | 5.29774 | 4.94320 | ||
22 | 0 | 0.00600 | 5.29503 | 4.92166 | 32 | 0 | 0.00325 | 5.29778 | 4.94356 |
10 | 0.00594 | 5.29509 | 4.92203 | 10 | 0.00321 | 5.29774 | 4.94392 | ||
20 | 0.00589 | 5.29514 | 4.92241 | 20 | 0.00317 | 5.29782 | 4.94427 | ||
30 | 0.00584 | 5.29519 | 4.92278 | 30 | 0.00313 | 5.29786 | 4.94463 | ||
40 | 0.00579 | 5.29524 | 4.92315 | 40 | 0.00310 | 5.29793 | 4.94498 | ||
50 | 0.00574 | 5.29529 | 4.92352 | 50 | 0.00306 | 5.29797 | 4.94534 | ||
23 | 0 | 0.00568 | 5.29535 | 4.92390 | 33 | 0 | 0.00302 | 5.29801 | 4.94570 |
10 | 0.00563 | 5.29540 | 4.92427 | 10 | 0.00298 | 5.29801 | 4.94605 | ||
20 | 0.00558 | 5.29545 | 4.92464 | 20 | 0.00295 | 5.29805 | 4.94641 | ||
30 | 0.00553 | 5.29550 | 4.92501 | 30 | 0.00291 | 5.29808 | 4.94676 | ||
40 | 0.00548 | 5.29555 | 4.92538 | 40 | 0.00287 | 5.29812 | 4.94712 | ||
50 | 0.00543 | 5.29560 | 4.92575 | 50 | 0.00284 | 5.29819 | 4.94747 | ||
24 | 0 | 0.00538 | 5.29565 | 4.92612 | 34 | 0 | 0.00280 | 5.29823 | 4.94762 |
10 | 0.00533 | 5.29570 | 4.92649 | 10 | 0.00276 | 5.29827 | 4.94818 | ||
20 | 0.00528 | 5.29575 | 4.92686 | 20 | 0.00273 | 5.29830 | 4.94853 | ||
30 | 0.00523 | 5.29580 | 4.92723 | 30 | 0.00269 | 5.29834 | 4.94888 | ||
40 | 0.00518 | 5.29585 | 4.92760 | 40 | 0.00266 | 5.29837 | 4.94924 | ||
50 | 0.00513 | 5.29590 | 4.92796 | 50 | 0.00262 | 5.29841 | 4.94959 | ||
25 | 0 | 0.00508 | 5.29595 | 4.92833 | 35 | 0 | 0.00259 | 5.29844 | 4.94994 |
10 | 0.00504 | 5.29599 | 4.92870 | 10 | 0.00255 | 5.29848 | 4.95029 | ||
20 | 0.00499 | 5.29604 | 4.92907 | 20 | 0.00252 | 5.29851 | 4.95065 | ||
30 | 0.00494 | 5.29609 | 4.92944 | 30 | 0.00249 | 5.29854 | 4.95100 | ||
40 | 0.00489 | 5.29614 | 4.92980 | 40 | 0.00245 | 5.29858 | 4.95135 | ||
50 | 0.00484 | 5.29619 | 4.93017 | 50 | 0.00242 | 5.29861 | 4.95170 | ||
26 | 0 | 0.00480 | 5.29623 | 4.93054 | 36 | 0 | 0.00239 | 5.29864 | 4.95205 |
10 | 0.00475 | 5.29628 | 4.93090 | 10 | 0.00239 | 5.29868 | 4.95240 | ||
20 | 0.00470 | 5.29633 | 4.93127 | 20 | 0.00235 | 5.29871 | 4.95275 | ||
30 | 0.00466 | 5.29637 | 4.93164 | 30 | 0.00229 | 5.29874 | 4.95310 | ||
40 | 0.00461 | 5.29642 | 4.93200 | 40 | 0.00225 | 5.29878 | 4.95345 | ||
50 | 0.00456 | 5.29647 | 4.93237 | 50 | 0.00222 | 5.29881 | 4.95380 | ||
27 | 0 | 0.00452 | 5.29651 | 4.93273 | 37 | 0 | 0.00219 | 5.29884 | 4.95415 |
10 | 0.00447 | 5.29656 | 4.93310 | 10 | 0.00216 | 5.29887 | 4.95450 | ||
20 | 0.00443 | 5.29660 | 4.93346 | 20 | 0.00213 | 5.29890 | 4.95485 | ||
30 | 0.00438 | 5.29665 | 4.93383 | 30 | 0.00210 | 5.29893 | 4.95520 | ||
40 | 0.00434 | 5.29669 | 4.93419 | 40 | 0.00207 | 5.29896 | 4.95555 | ||
50 | 0.00429 | 5.29674 | 4.93455 | 50 | 0.00203 | 5.29900 | 4.95589 | ||
28 | 0 | 0.00425 | 5.29678 | 4.93492 | 38 | 0 | 0.00200 | 5.29993 | 4.95624 |
10 | 0.00426 | 5.29683 | 4.93528 | 10 | 0.00197 | 5.29906 | 4.95659 | ||
20 | 0.00416 | 5.29687 | 4.93564 | 20 | 0.00194 | 5.29909 | 4.95694 | ||
30 | 0.00412 | 5.29691 | 4.93600 | 30 | 0.00191 | 5.29912 | 4.95728 | ||
40 | 0.00407 | 5.29696 | 4.93637 | 40 | 0.00188 | 5.29915 | 4.95763 | ||
50 | 0.00403 | 5.29700 | 4.93673 | 50 | 0.00185 | 5.29918 | 4.95798 | ||
29 | 0 | 0.00399 | 5.29704 | 4.93709 | 39 | 0 | 0.00183 | 5.29920 | 4.95832 |
10 | 0.00394 | 5.29709 | 4.93745 | 10 | 0.00180 | 5.29923 | 4.95867 | ||
20 | 0.00390 | 5.29713 | 4.93781 | 20 | 0.00177 | 5.29926 | 4.95902 | ||
30 | 0.00386 | 5.29717 | 4.93817 | 30 | 0.00174 | 5.29929 | 4.95936 | ||
40 | 0.00382 | 5.29723 | 4.93854 | 40 | 0.00171 | 5.29932 | 4.95971 | ||
50 | 0.00377 | 5.29726 | 4.93890 | 50 | 0.00168 | 5.29935 | 4.96005 |
[page] 75
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||
5 HOURS. | |||||||||
M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. | M. | S. | Log. 1/2elap. Time. | Log. Mid. Time. | Logarith. Rifing. |
40 | 0 | 0.00166 | 5.29937 | 4.96040 | 50 | 0 | 0.00041 | 5.30062 | 4.98063 |
10 | 0.00163 | 5.29940 | 4.96074 | 10 | 0.00040 | 5.30063 | 4.98096 | ||
20 | 0.00160 | 5.29943 | 4.96109 | 20 | 0.00039 | 5.30064 | 4.98129 | ||
30 | 0.00157 | 5.29946 | 4.96143 | 30 | 0.00037 | 5.30066 | 4.98162 | ||
40 | 0.00155 | 5.29948 | 4.96177 | 40 | 0.00036 | 5.30067 | 4.98195 | ||
50 | 0.00152 | 5.29951 | 4.96212 | 50 | 0.00035 | 5.30068 | 4.98228 | ||
41 | 0 | 0.00149 | 5.29954 | 4.96246 | 51 | 0 | 0.00033 | 5.30070 | 4.98261 |
10 | 0.00147 | 5.29956 | 4.96280 | 10 | 0.00032 | 5.30071 | 4.98293 | ||
20 | 0.00144 | 5.29959 | 4.96315 | 20 | 0.00031 | 5.30072 | 4.98326 | ||
30 | 0.00142 | 5.29961 | 4.96349 | 30 | 0.00030 | 5.30073 | 4.98359 | ||
40 | 0.00139 | 5.29964 | 4.96383 | 40 | 0.00029 | 5.30074 | 4.98392 | ||
50 | 0.00137 | 5.29966 | 4.96417 | 50 | 0.00028 | 5.30075 | 4.98425 | ||
42 | 0 | 0.00134 | 5.29969 | 4.96451 | 52 | 0 | 0.00026 | 5.30077 | 4.98457 |
10 | 0.00132 | 5.29971 | 4.96486 | 10 | 0.00025 | 5.30078 | 4.98490 | ||
20 | 0.60129 | 5.29974 | 4.96520 | 20 | 0.00024 | 5.30079 | 4.98523 | ||
30 | 0.00127 | 5.29976 | 4.96554 | 30 | 0.00023 | 5.30080 | 4.98555 | ||
40 | 0.00124 | 5.29979 | 4.96588 | 40 | 0.00022 | 5.30081 | 4.98588 | ||
50 | 0.00122 | 5.29981 | 4.96622 | 50 | 0.00021 | 5.30082 | 4.98620 | ||
43 | 0 | 0.00120 | 5.29983 | 4.96656 | 53 | 0 | 0.00020 | 5.30083 | 4.98653 |
10 | 0.00117 | 5.29986 | 4.96690 | 10 | 0.00019 | 5.30084 | 4.98686 | ||
20 | 0.00115 | 5.29988 | 4.96724 | 20 | 0.00018 | 5.30085 | 4.98718 | ||
30 | 0.00113 | 5.29990 | 4.96758 | 30 | 0.00017 | 5.30086 | 4.98751 | ||
40 | 0.00110 | 5.29993 | 4.96792 | 40 | 0.00017 | 5.30086 | 4.98783 | ||
50 | 0.00108 | 5.29995 | 4.96826 | 50 | 0.00016 | 5.30087 | 4.98816 | ||
44 | 0 | 0.00106 | 5.29997 | 4.96860 | 54 | 0 | 0.00015 | 5.30088 | 4.98848 |
10 | 0.00104 | 5.29999 | 4.96894 | 10 | 0.00014 | 5 30089 | 4.98880 | ||
20 | 0.00102 | 5.30001 | 4.96927 | 20 | 0.00013 | 5.30090 | 4.98913 | ||
30 | 0.00099 | 5.30004 | 4.96961 | 30 | 0.00013 | 5.30090 | 4.98945 | ||
40 | 0.00097 | 5.30006 | 4.96995 | 40 | 0.00012 | 5.30091 | 4.98978 | ||
50 | 0.00095 | 5.30008 | 4.97029 | 50 | 0.00011 | 5.30092 | 4.99010 | ||
45 | 0 | 0.00093 | 5.30010 | 4.97062 | 55 | 0 | 0.00010 | 5.30093 | 4.99042 |
10 | 0.00091 | 5.30012 | 4.97096 | 10 | 0.00010 | 5.30093 | 4.99074 | ||
20 | 0.00089 | 5.30014 | 4.97130 | 20 | 0.00009 | 5.30094 | 4.99107 | ||
30 | 0.00087 | 5.30016 | 4.97163 | 30 | 0.00008 | 5.30095 | 4.99139 | ||
40 | 0.00085 | 5.30018 | 4.97197 | 40 | 0.00008 | 5.30095 | 4.99171 | ||
50 | 0.00083 | 5.30020 | 4.97231 | 50 | 0.00007 | 5.30096 | 4.99203 | ||
46 | 0 | 0.00081 | 5.30022 | 4.97264 | 56 | 0 | 0.00007 | 5.30096 | 4.99235 |
10 | 0.00079 | 5.30024 | 4.97298 | 10 | 0.00006 | 5.30097 | 4.99267 | ||
20 | 0.00077 | 5.30026 | 4.97331 | 20 | 0.00006 | 5.30097 | 4.99300 | ||
30 | 0.00075 | 5.30028 | 4.97365 | 30 | 0.00005 | 5.30098 | 4.99332 | ||
40 | 0.00074 | 5.30029 | 4.97398 | 40 | 0.00005 | 5.30098 | 4.99364 | ||
50 | 0.00072 | 5.30031 | 4.97432 | 50 | 0.00004 | 5.30099 | 4.99396 | ||
47 | 0 | 0.00070 | 5.30033 | 4.97465 | 57 | 0 | 0.00004 | 5.30099 | 4.99428 |
10 | 0.00068 | 5.30035 | 4.97499 | 10 | 0.00003 | 5.30100 | 4.99460 | ||
20 | 0.00066 | 5.30037 | 4.97532 | 20 | 0.00003 | 5.30100 | 4.99492 | ||
30 | 0.00065 | 5.30038 | 4.97565 | 30 | 0.00003 | 5.30100 | 4.99524 | ||
40 | 0.00063 | 5.30040 | 4.97599 | 40 | 0.00002 | 5.30101 | 4.99556 | ||
50 | 0.00061 | 5.30042 | 4.97632 | 50 | 0.00002 | 5.30101 | 4.99587 | ||
48 | 0 | 0.00060 | 5.30043 | 4.97665 | 58 | 0 | 0.00002 | 5.30101 | 4.99619 |
10 | 0.00058 | 5.30045 | 4.97699 | 10 | 0.00001 | 5.30102 | 4.99651 | ||
20 | 0.00056 | 5.30047 | 4.97732 | 20 | 0.00001 | 5.30102 | 4.99683 | ||
30 | 0.00055 | 5.30048 | 4.97765 | 30 | 0.00001 | 5.30102 | 4.99715 | ||
40 | 0.00053 | 5.30050 | 4.97798 | 40 | 0.00001 | 5.30102 | 4.99747 | ||
50 | 0.00052 | 5.30051 | 4.97832 | 50 | 0.00001 | 5.30102 | 4.99778 | ||
49 | 0 | 0.00050 | 5.30053 | 4.97865 | 59 | 0 | 0.00000 | 5.30103 | 4.99810 |
10 | 0.00049 | 5.30054 | 4.97898 | 10 | 0.00000 | 5.30103 | 4.9984 | ||
20 | 0.00047 | 5.30056 | 4.97931 | 20 | 0.00000 | 5.30103 | 4.99873 | ||
30 | 0.00046 | 5.30057 | 4.97964 | 30 | 0.00000 | 5.30103 | 4.99905 | ||
40 | 0.00044 | 5.30059 | 4.97997 | 40 | 0.00000 | 5.30103 | 4.99937 | ||
50 | 0.00043 | 5.30060 | 4.98030 | 50 | 0.00000 | 5.30103 | 4.99968 |
K 2
[page] 76
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||||
6 HOURS. | |||||||||||
M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. |
0 | 0 | 5.00000 | 10 | 0 | 5.01853 | 20 | 0 | 5.03629 | 30 | 0 | 5.05327 |
10 | 5.00031 | 10 | 5.01883 | 10 | 5.03658 | 10 | 5.05354 | ||||
20 | 5.00063 | 20 | 5.01913 | 20 | 5.03687 | 20 | 5.05382 | ||||
30 | 5.00094 | 30 | 5.01943 | 30 | 5.03715 | 30 | 5.05410 | ||||
40 | 5.00125 | 40 | 5.01973 | 40 | 5.03744 | 40 | 5.05437 | ||||
50 | 5.00156 | 50 | 5.02004 | 50 | 5.03773 | 50 | 5.05465 | ||||
1 | 0 | 5.00188 | 11 | 0 | 5.02034 | 21 | 0 | 5.03801 | 31 | 0 | 5.05493 |
10 | 5.00219 | 10 | 5.02064 | 10 | 5.03830 | 10 | 5.05520 | ||||
20 | 5.00250 | 20 | 5.02094 | 20 | 5.03859 | 20 | 5.05548 | ||||
30 | 5.00282 | 30 | 5.02125 | 30 | 5.03887 | 30 | 5.05576 | ||||
40 | 5.00313 | 40 | 5.02155 | 40 | 5.03916 | 40 | 5.05604 | ||||
50 | 5.00345 | 50 | 5.02185 | 50 | 5.03945 | 50 | 5.05631 | ||||
2 | 0 | 5.00376 | 12 | 0 | 5.02215 | 22 | 0 | 5.03974 | 32 | 0 | 5.05659 |
10 | 5.00407 | 10 | 5.02245 | 10 | 5.04002 | 10 | 5.05686 | ||||
20 | 5.00438 | 20 | 5.02275 | 20 | 5.04031 | 20 | 5.05713 | ||||
30 | 5.00469 | 30 | 5.02304 | 30 | 5.04060 | 30 | 5.05740 | ||||
40 | 5.00501 | 40 | 5.02334 | 40 | 5.04088 | 40 | 5.05768 | ||||
50 | 5.00532 | 50 | 5.02364 | 50 | 5.04117 | 50 | 5.05795 | ||||
3 | 0 | 5.00563 | 13 | 0 | 5.02394 | 23 | 0 | 5.04146 | 33 | 0 | 5.05822 |
10 | 5.00595 | 10 | 5.02423 | 10 | 5.04174 | 10 | 5.05849 | ||||
20 | 5.00626 | 20 | 5.02453 | 20 | 5.04203 | 20 | 5.05876 | ||||
30 | 5.00657 | 30 | 5.02483 | 30 | 5.04232 | 30 | 5.05904 | ||||
40 | 5.00689 | 40 | 5.02512 | 40 | 5.04261 | 40 | 5.05931 | ||||
50 | 5.00720 | 50 | 5.02542 | 50 | 5.04289 | 50 | 5.05958 | ||||
4 | 0 | 5.00751 | 14 | 0 | 5.02572 | 24 | 0 | 5.04318 | 34 | 0 | 5.05985 |
10 | 5.00782 | 10 | 5.02602 | 10 | 5.04346 | 10 | 5.06013 | ||||
20 | 5.00813 | 20 | 5.02631 | 20 | 5.04374 | 20 | 5.06040 | ||||
30 | 5.00844 | 30 | 5.02661 | 30 | 5.04402 | 30 | 5.06067 | ||||
40 | 5.00875 | 40 | 5.02691 | 40 | 5.04430 | 40 | 5.06094 | ||||
50 | 5.00905 | 50 | 5.02720 | 50 | 5.04459 | 50 | 5.06122 | ||||
5 | 0 | 5.00936 | 15 | 0 | 5.02750 | 25 | 0 | 5.04487 | 35 | 0 | 5.06149 |
10 | 5.00967 | 10 | 5.02780 | 10 | 5.04515 | 10 | 5.06176 | ||||
20 | 5.00998 | 20 | 5.02810 | 20 | 5.04543 | 20 | 5.06203 | ||||
30 | 5.01028 | 30 | 5.02839 | 30 | 5.04571 | 30 | 5.06230 | ||||
40 | 5.01059 | 40 | 5.02869 | 40 | 5.04600 | 40 | 5.06258 | ||||
50 | 5.01090 | 50 | 5.02899 | 50 | 5.04628 | 50 | 5.06285 | ||||
6 | 0 | 5.01121 | 16 | 0 | 5.02928 | 26 | 0 | 5.04656 | 36 | 0 | 5.06312 |
10 | 5.01151 | 10 | 5.02958 | 10 | 5.04684 | 10 | 5.06339 | ||||
20 | 5.01182 | 20 | 5.02987 | 20 | 5.04712 | 20 | 5.06365 | ||||
30 | 5.01213 | 30 | 5.03016 | 30 | 5.04740 | 30 | 5.06392 | ||||
40 | 5.01244 | 40 | 5.03045 | 40 | 5.04769 | 40 | 5.06419 | ||||
50 | 5.01275 | 50 | 5.03074 | 50 | 5.04797 | 50 | 5.06445 | ||||
7 | 0 | 5.01305 | 17 | 0 | 5.03104 | 27 | 0 | 5.04825 | 37 | 0 | 5.06472 |
10 | 5.01336 | 10 | 5.03133 | 10 | 5.04853 | 10 | 5.06499 | ||||
20 | 5.01367 | 20 | 5.03162 | 20 | 5.04881 | 20 | 5.06526 | ||||
30 | 5.01398 | 30 | 5.03191 | 30 | 5.04910 | 30 | 5.06553 | ||||
40 | 5.01428 | 40 | 5.03220 | 40 | 5.04938 | 40 | 5.06579 | ||||
50 | 5.01459 | 50 | 5.03250 | 50 | 5.04966 | 50 | 5.06606 | ||||
8 | 0 | 5.01490 | 18 | 0 | 5.03279 | 28 | 0 | 5.04994 | 38 | 0 | 5.06633 |
10 | 5.01520 | 10 | 5.03308 | 10 | 5.05022 | 10 | 5.06660 | ||||
20 | 5.01550 | 20 | 5.03337 | 20 | 5.05050 | 20 | 5.06686 | ||||
30 | 5.01580 | 30 | 5.03366 | 30 | 5.05077 | 30 | 5.06713 | ||||
40 | 5.01611 | 40 | 5.03396 | 40 | 5.05105 | 40 | 5.06740 | ||||
50 | 5.01641 | 50 | 5.03425 | 50 | 5.05133 | 50 | 5.06766 | ||||
9 | 0 | 5.01671 | 19 | 0 | 5.03454 | 29 | 0 | 5.05160 | 39 | 0 | 5.06793 |
10 | 5.01701 | 10 | 5.03483 | 10 | 5.05188 | 10 | 5.06820 | ||||
20 | 5.01732 | 20 | 4.03512 | 20 | 5.05216 | 20 | 5.06847 | ||||
30 | 5.01762 | 30 | 5.03542 | 30 | 5.05243 | 30 | 5.06873 | ||||
40 | 5.01792 | 40 | 5.03571 | 40 | 5.05271 | 40 | 5.06900 | ||||
50 | 5.01822 | 50 | 5.03600 | 50 | 5.05299 | 50 | 5.06927 |
[page] 77
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||||
6 HOURS. | 7 HOURS. | ||||||||||
M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. |
40 | 0 | 5.06954 | 50 | 0 | 5.08508 | 0 | 0 | 5.09996 | 10 | 0 | 5.11417 |
10 | 5.06980 | 10 | 5.08533 | 10 | 5.10020 | 10 | 5.11440 | ||||
20 | 5.07006 | 20 | 5.08558 | 20 | 5.10044 | 20 | 5.11463 | ||||
30 | 5.07033 | 30 | 5.08584 | 30 | 5.10068 | 30 | 5.11486 | ||||
40 | 5.07059 | 40 | 5.08609 | 40 | 5.10092 | 40 | 5.11509 | ||||
50 | 5.07085 | 50 | 5.08634 | 50 | 5.10116 | 50 | 5.11532 | ||||
41 | 0 | 5.07111 | 51 | 0 | 5.08660 | 1 | 0 | 5.10140 | 11 | 0 | 5.11556 |
10 | 5.07138 | 10 | 5.08685 | 10 | 5.10164 | 10 | 5.11579 | ||||
20 | 5.07164 | 20 | 5.08710 | 20 | 5.10188 | 20 | 5.11602 | ||||
30 | 5.07190 | 30 | 5.08736 | 30 | 5.10212 | 30 | 5.11625 | ||||
40 | 5.07217 | 40 | 5.08761 | 40 | 5.10236 | 40 | 5.11648 | ||||
50 | 5.07243 | 50 | 5.08787 | 50 | 5.10260 | 50 | 5.11671 | ||||
42 | 0 | 5.07269 | 52 | 0 | 5.08812 | 2 | 0 | 5.10284 | 12 | 0 | 5.11694 |
10 | 5.07295 | 10 | 5.08837 | 10 | 5.10308 | 10 | 5.11717 | ||||
20 | 5.07322 | 20 | 5.08862 | 20 | 5.10332 | 20 | 5.11740 | ||||
30 | 5.07348 | 30 | 5.08887 | 30 | 5.10356 | 30 | 5.11763 | ||||
40 | 5.07374 | 40 | 5.08911 | 40 | 5.10380 | 40 | 5.11785 | ||||
50 | 5.07400 | 50 | 5.08936 | 50 | 5.10404 | 50 | 5.11808 | ||||
43 | 0 | 5.07427 | 53 | 0 | 5.08961 | 3 | 0 | 5.10429 | 13 | 0 | 5.11831 |
10 | 5.07453 | 10 | 5.08986 | 10 | 5.10453 | 10 | 5.11854 | ||||
20 | 5.07453 | 20 | 5.09011 | 20 | 5.10477 | 20 | 5.11876 | ||||
30 | 5.07505 | 30 | 5.09036 | 30 | 5.10501 | 30 | 5.11899 | ||||
40 | 5.07532 | 40 | 5.09061 | 40 | 5.10525 | 40 | 5.11922 | ||||
50 | 5.07558 | 50 | 5.09086 | 50 | 5.10549 | 50 | 5.11945 | ||||
44 | 0 | 5.07584 | 54 | 0 | 5.09111 | 4 | 0 | 5.10573 | 14 | 0 | 5.11967 |
10 | 5.07610 | 10 | 5.09136 | 10 | 5.10596 | 10 | 5.11990 | ||||
20 | 5.07636 | 20 | 5.09160 | 20 | 5.10620 | 20 | 5.12013 | ||||
30 | 5.07662 | 30 | 5.09185 | 30 | 5.10643 | 30 | 5.12036 | ||||
40 | 5.07687 | 40 | 5.09210 | 40 | 5.10667 | 40 | 5.12058 | ||||
50 | 5.07713 | 50 | 5.09235 | 50 | 5.10691 | 50 | 5.12080 | ||||
45 | 0 | 5.07739 | 55 | 0 | 5.09260 | 5 | 0 | 5.10714 | 15 | 0 | 5.12401 |
10 | 5.07765 | 10 | 5.09285 | 10 | 5.10738 | 10 | 5.12126 | ||||
20 | 5.07791 | 20 | 5.09310 | 20 | 5.10785 | 20 | 5.12149 | ||||
30 | 5.07816 | 30 | 5.09335 | 30 | 5.10809 | 30 | 5.12172 | ||||
40 | 5.07842 | 40 | 5.09360 | 40 | 5.10809 | 40 | 5.12195 | ||||
50 | 5.07868 | 50 | 5.09385 | 50 | 5.10832 | 50 | 5.12217 | ||||
46 | 0 | 5.07894 | 56 | 0 | 5.09409 | 6 | 0 | 5.10856 | 16 | 0 | 5.12240 |
10 | 5.07920 | 10 | 5.09434 | 10 | 5.10897 | 10 | 5.12263 | ||||
20 | 5.07945 | 20 | 5.09458 | 20 | 5.10903 | 20 | 5.12285 | ||||
30 | 5.07971 | 30 | 5.09483 | 30 | 5.10926 | 30 | 5.12307 | ||||
40 | 5.07997 | 40 | 5.09507 | 40 | 5.10950 | 40 | 5.12329 | ||||
50 | 5.08023 | 50 | 5.09532 | 50 | 5.10974 | 50 | 5.12352 | ||||
47 | 0 | 5.08049 | 57 | 0 | 5.09556 | 7 | 0 | 5.10997 | 17 | 0 | 5.12374 |
10 | 5.07920 | 10 | 5.09581 | 10 | 5.11021 | 10 | 5.12396 | ||||
20 | 5.08100 | 20 | 5.09605 | 20 | 5.11044 | 20 | 5.12419 | ||||
30 | 5.08126 | 30 | 5.09629 | 30 | 5.11068 | 30 | 5.12441 | ||||
40 | 5.08152 | 40 | 5.09654 | 40 | 5.11092 | 40 | 5.12463 | ||||
50 | 5.08178 | 50 | 5.09678 | 50 | 511115 | 50 | 5.12486 | ||||
48 | 0 | 5.08203 | 58 | 0 | 5.09703 | 8 | 0 | 5.11139 | 18 | 0 | 5.12508 |
10 | 5.08229 | 10 | 5.09727 | 10 | 5.11162 | 10 | 5.12530 | ||||
20 | 5.08254 | 20 | 5.09752 | 20 | 5.11185 | 20 | 5.12553 | ||||
30 | 5.08280 | 30 | 5.09776 | 30 | 5.11208 | 30 | 5.12575 | ||||
40 | 5.08305 | 40 | 5.09801 | 40 | 5.11231 | 40 | 5.12597 | ||||
50 | 5.08330 | 50 | 5.09825 | 50 | 5.11255 | 50 | 5.12619 | ||||
49 | 0 | 5.08356 | 59 | 0 | 5.09850 | 9 | 0 | 5.11278 | 19 | 0 | 5.12642 |
10 | 5.08381 | 10 | 5.09874 | 10 | 5.11301 | 10 | 5.12664 | ||||
20 | 5.08406 | 20 | 5.09899 | 20 | 5.11324 | 20 | 5.12686 | ||||
30 | 5.08432 | 30 | 5.09923 | 30 | 5.11347 | 30 | 5.12709 | ||||
40 | 5.08457 | 40 | 5.09947 | 40 | 5.11370 | 40 | 5.12731 | ||||
50 | 5.08482 | 50 | 5.09972 | 50 | 5.11393 | 50 | 5.12753 |
[page] 78
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||||
7 HOURS | |||||||||||
M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. |
20 | 0 | 5.12776 | 30 | 0 | 5.14071 | 40 | 0 | 5.15309 | 50 | 0 | 5.16486 |
10 | 5.12798 | 10 | 5.14092 | 10 | 5.15329 | 10 | 5.16505 | ||||
20 | 5.12820 | 20 | 5.14113 | 20 | 5.15349 | 20 | 5.16525 | ||||
30 | 5.12841 | 30 | 5.14134 | 30 | 5.15369 | 30 | 5.16544 | ||||
40 | 5.12863 | 40 | 5.14155 | 40 | 5.15388 | 40 | 5.16563 | ||||
50 | 5.12885 | 50 | 5.14176 | 50 | 5.15408 | 50 | 5.16582 | ||||
21 | 0 | 5.12907 | 31 | 0 | 5.14198 | 41 | 0 | 5.15428 | 51 | 0 | 5.16601 |
10 | 5.12929 | 10 | 5.14219 | 10 | 5.15448 | 10 | 5.16620 | ||||
20 | 5.12951 | 20 | 5.14240 | 20 | 5.15468 | 20 | 5.16640 | ||||
30 | 5.12973 | 30 | 5.14261 | 30 | 5.15488 | 30 | 5.16659 | ||||
40 | 5.12995 | 40 | 5.14282 | 40 | 5.15508 | 40 | 5.16678 | ||||
50 | 5.13017 | 50 | 5.14303 | 50 | 5.15528 | 50 | 5.16697 | ||||
22 | 0 | 5.13039 | 32 | 0 | 5.14324 | 42 | 0 | 5.15548 | 52 | 0 | 5.16716 |
10 | 5.13061 | 10 | 5.14345 | 10 | 5.15568 | 10 | 5.16735 | ||||
20 | 5.13083 | 20 | 5.14366 | 20 | 5.11588 | 20 | 5.16754 | ||||
30 | 5.13104 | 30 | 5.14386 | 30 | 5.15608 | 30 | 5.16773 | ||||
40 | 5.13126 | 40 | 5.14407 | 40 | 5.15628 | 40 | 5.16791 | ||||
50 | 5.13148 | 50 | 5.14428 | 50 | 5.15648 | 50 | 5.16810 | ||||
23 | 0 | 5.13170 | 33 | 0 | 5.14449 | 43 | 0 | 5.15667 | 53 | 0 | 5.16829 |
10 | 5.13192 | 10 | 5.14469 | 10 | 5.15687 | 10 | 5.16848 | ||||
20 | 5.13214 | 20 | 5.14490 | 20 | 5.15707 | 20 | 5.16866 | ||||
30 | 5.13236 | 30 | 5.14511 | 30 | 5.15727 | 30 | 5.16885 | ||||
40 | 5.13258 | 40 | 5.14531 | 40 | 5.15747 | 40 | 5.16904 | ||||
50 | 5.13280 | 50 | 5.14552 | 50 | 5.15767 | 50 | 5.16923 | ||||
24 | 0 | 5.13302 | 34 | 0 | 5.14573 | 44 | 0 | 5.15787 | 54 | 0 | 5.16942 |
10 | 5.13323 | 10 | 5.14593 | 10 | 5.15807 | 10 | 5.16960 | ||||
20 | 5.13345 | 20 | 5.14614 | 20 | 5.15826 | 20 | 5.16979 | ||||
30 | 5.13366 | 30 | 5.14635 | 30 | 5.15846 | 30 | 5.16998 | ||||
40 | 5.13388 | 40 | 5.14656 | 40 | 5.15865 | 40 | 5.17017 | ||||
50 | 5.13409 | 50 | 5.14676 | 50 | 5.15885 | 50 | 5.17036 | ||||
25 | 0 | 5.13431 | 35 | 0 | 5.14697 | 45 | 0 | 5.15904 | 55 | 0 | 5.17054 |
10 | 5.13452 | 10 | 5.14718 | 10 | 5.15924 | 10 | 5.17073 | ||||
20 | 5.13474 | 20 | 5.14738 | 20 | 5.15943 | 20 | 5.17092 | ||||
30 | 5.13495 | 30 | 5.14759 | 30 | 5.15963 | 30 | 5.17111 | ||||
40 | 5.13517 | 40 | 5.14780 | 40 | 5.15983 | 40 | 5.17129 | ||||
50 | 5.13538 | 50 | 5.14800 | 50 | 5.16002 | 50 | 5.17148 | ||||
26 | 0 | 5.13560 | 36 | 0 | 5.14821 | 46 | 0 | 5.16022 | 56 | 0 | 5.17167 |
10 | 5.13581 | 10 | 5.14842 | 10 | 5.16041 | 10 | 5.17185 | ||||
20 | 5.13603 | 20 | 5.14862 | 20 | 5.16061 | 20 | 5.17204 | ||||
30 | 5.13624 | 30 | 5.14882 | 30 | 5.16080 | 30 | 5.17222 | ||||
40 | 5.13646 | 40 | 5.14902 | 40 | 5.16100 | 40 | 5.17241 | ||||
50 | 5.13667 | 50 | 5.14923 | 50 | 5.16119 | 50 | 5.17259 | ||||
27 | 0 | 5.13689 | 37 | 0 | 5.14943 | 47 | 0 | 5.16139 | 57 | 0 | 5.17277 |
10 | 5.13710 | 10 | 5.14963 | 10 | 5.16158 | 10 | 5.17296 | ||||
20 | 5.13732 | 20 | 5.14984 | 20 | 5.16178 | 20 | 5.17314 | ||||
30 | 5.13753 | 30 | 5.15004 | 30 | 5.16197 | 30 | 5.17333 | ||||
40 | 5.13775 | 40 | 5.15024 | 40 | 5.16217 | 40 | 5.17351 | ||||
50 | 5.13796 | 50 | 5.15045 | 50 | 5.16237 | 50 | 5.17369 | ||||
28 | 0 | 5.13818 | 38 | 0 | 5.15065 | 48 | 0 | 5.16256 | 58 | 0 | 5.17388 |
10 | 5.13839 | 10 | 5.15085 | 10 | 5.16275 | 10 | 5.17406 | ||||
20 | 5.13860 | 20 | 5.15106 | 20 | 5.16295 | 20 | 5.17425 | ||||
30 | 5.13881 | 30 | 5.15126 | 30 | 5.16314 | 30 | 5.17443 | ||||
40 | 5.13902 | 40 | 5.15146 | 40 | 5.16333 | 40 | 5.17462 | ||||
50 | 5.13923 | 50 | 5.15166 | 50 | 5.16352 | 50 | 5.17480 | ||||
29 | 0 | 5.13944 | 39 | 0 | 5.15187 | 49 | 0 | 5.16371 | 59 | 0 | 5.17498 |
10 | 5.13966 | 10 | 5.15207 | 10 | 5.16390 | 10 | 5.17517 | ||||
20 | 5.13987 | 20 | 5.15227 | 20 | 5.16410 | 20 | 5.17535 | ||||
30 | 5.14008 | 30 | 5.15248 | 30 | 5.16429 | 30 | 5.17554 | ||||
40 | 5.14029 | 40 | 5.15268 | 40 | 5.16448 | 40 | 5.17572 | ||||
50 | 5.14050 | 50 | 5.15288 | 50 | 5.16467 | 50 | 5.17590 |
[page] 79
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | ||||||||
8 HOURS | ||||||||
M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. | M. | S. | Logarith. Rifing. |
0 | 0 | 5.17609 | 10 | 0 | 5.18675 | 20 | 0 | 5.19689 |
10 | 5.17627 | 10 | 5.18692 | 10 | 5.19705 | |||
20 | 5.17645 | 20 | 5.18709 | 20 | 5.19721 | |||
30 | 5.17663 | 30 | 5.18727 | 30 | 5.19738 | |||
40 | 5.17681 | 40 | 5.18744 | 40 | 5.19754 | |||
50 | 5.17699 | 50 | 5.18761 | 50 | 5.19770 | |||
1 | 0 | 5.17717 | 11 | 0 | 5.18779 | 21 | 0 | 5.19786 |
10 | 5.17735 | 10 | 5.18796 | 10 | 5.19803 | |||
20 | 5.17753 | 20 | 5.18813 | 20 | 5.19819 | |||
30 | 5.17772 | 30 | 5.18831 | 30 | 5.19835 | |||
40 | 5.17790 | 40 | 5.18848 | 40 | 5.19851 | |||
50 | 5.17808 | 50 | 5.18865 | 50 | 5.19868 | |||
2 | 0 | 5.17826 | 12 | 0 | 5.18883 | 22 | 0 | 5.19884 |
10 | 5.17844 | 10 | 5.18900 | 10 | 5.19900 | |||
20 | 5.17862 | 20 | 5.18917 | 20 | 5.19917 | |||
30 | 5.17880 | 30 | 5.18934 | 30 | 5.19933 | |||
40 | 5.17898 | 40 | 5.18951 | 40 | 5.19949 | |||
50 | 5.17916 | 50 | 5.18968 | 50 | 5.19965 | |||
3 | 0 | 5.17934 | 13 | 0 | 5.18985 | 23 | 0 | 5.19982 |
10 | 5.17952 | 10 | 5.19002 | 10 | 5.19998 | |||
20 | 5.17970 | 20 | 5.19019 | 20 | 5.20014 | |||
30 | 5.17988 | 30 | 5.19035 | 30 | 5.20030 | |||
40 | 5.18006 | 40 | 5.19052 | 40 | 5.20047 | |||
50 | 5.18024 | 50 | 5.19069 | 50 | 5.20063 | |||
4 | 0 | 5.18042 | 14 | 0 | 5.19086 | 24 | 0 | 5.20079 |
10 | 5.18060 | 10 | 5.19103 | 10 | 5.20095 | |||
20 | 5.18078 | 20 | 5.19120 | 20 | 5.20111 | |||
30 | 5.18095 | 30 | 5.19137 | 30 | 5.20127 | |||
40 | 5.18113 | 40 | 5.19154 | 40 | 5.20143 | |||
50 | 5.18131 | 50 | 5.19171 | 50 | 5.20159 | |||
5 | 0 | 5.18148 | 15 | 0 | 5.19188 | 25 | 0 | 5.20175 |
10 | 5.18166 | 10 | 5.19205 | 10 | 5.20191 | |||
20 | 5.18184 | 20 | 5.19222 | 20 | 5.20206 | |||
30 | 5.18202 | 30 | 5.19239 | 30 | 5.20222 | |||
40 | 5.18219 | 40 | 5.19256 | 40 | 5.20238 | |||
50 | 5.18237 | 50 | 5.19273 | 50 | 5.20254 | |||
6 | 0 | 5.18255 | 16 | 0 | 5.19290 | 26 | 0 | 5.20270 |
10 | 5.18272 | 10 | 5.19307 | 10 | 5.20286 | |||
20 | 5.18290 | 20 | 5.19323 | 20 | 5.20302 | |||
30 | 5.18308 | 30 | 5.19340 | 30 | 5.20318 | |||
40 | 5.18325 | 40 | 5.19356 | 40 | 5.20334 | |||
50 | 5.18343 | 50 | 5.19373 | 50 | 5.20350 | |||
7 | 0 | 5.18361 | 17 | 0 | 5.19390 | 27 | 0 | 5.20366 |
10 | 5.18378 | 10 | 5.19406 | 10 | 5.20382 | |||
20 | 5.18396 | 20 | 5.19423 | 20 | 5.20398 | |||
30 | 5.18414 | 30 | 5.19440 | 30 | 5.20413 | |||
40 | 5.18431 | 40 | 5.19456 | 40 | 5.20429 | |||
50 | 5.18449 | 50 | 5.19473 | 50 | 5.20445 | |||
8 | 0 | 5.18467 | 18 | 0 | 5.19489 | 28 | 0 | 5.20461 |
10 | 5.18484 | 10 | 5.19506 | 10 | 5.20477 | |||
20 | 5.18501 | 20 | 5.19523 | 20 | 5.20492 | |||
30 | 5.18519 | 30 | 5.19539 | 30 | 5.20508 | |||
40 | 5.18536 | 40 | 5.19556 | 40 | 5.20523 | |||
50 | 5.18553 | 50 | 5.19572 | 50 | 5.20539 | |||
9 | 0 | 5.18571 | 19 | 0 | 5.19589 | 29 | 0 | 5.20555 |
10 | 5.18588 | 10 | 5.19606 | 10 | 5.20570 | |||
20 | 5.18605 | 20 | 5.19622 | 20 | 5.20586 | |||
30 | 5.18623 | 30 | 5.19639 | 30 | 5.20601 | |||
40 | 5.18640 | 40 | 5.19656 | 40 | 5.20617 | |||
50 | 5.18657 | 50 | 5.19672 | 50 | 5.20633 |
[page] 80
TABLE XVI. For computing the Latitude of a Ship at Sea from two Altitudes of the Sun, &c. | |||||||||||
8 HOURS | |||||||||||
M. | S. | Logarith. Rifing | M. | S. | Logarith. Rifing | M. | S. | Logarith. Rifing. | |||
30 | 0 | 5.20648 | 40 | 0 | 5.21558 | 50 | 0 | 5.22416 | |||
10 | 5.18664 | 10 | 5.21573 | 10 | 5.22430 | ||||||
20 | 5.18679 | 20 | 5.21587 | 20 | 5.22444 | ||||||
30 | 5.18695 | 30 | 5.21602 | 30 | 5.22457 | ||||||
40 | 5.18710 | 40 | 5.21616 | 40 | 5.22471 | ||||||
50 | 5.18726 | 50 | 5.21631 | 50 | 5.22485 | ||||||
31 | 0 | 5.20742 | 41 | 0 | 5.21645 | 51 | 0 | 5.22499 | |||
10 | 5.20757 | 10 | 5.21660 | 10 | 5.22513 | ||||||
20 | 5.20773 | 20 | 5.21675 | 20 | 5.22527 | ||||||
30 | 5.20788 | 30 | 5.21689 | 30 | 5.22541 | ||||||
40 | 5.20804 | 40 | 5.21704 | 40 | 5.22555 | ||||||
50 | 5.20819 | 50 | 5.21718 | 50 | 5.22569 | ||||||
32 | 0 | 5.20835 | 42 | 0 | 5.21733 | 52 | 0 | 5.22583 | |||
10 | 5.20850 | 10 | 5.21747 | 10 | 5.22596 | ||||||
20 | 5.20865 | 20 | 5.21762 | 20 | 5.22610 | ||||||
30 | 5.20881 | 30 | 5.21777 | 30 | 5.22623 | ||||||
40 | 5.20896 | 40 | 5.21791 | 40 | 5.22637 | ||||||
50 | 5.20911 | 50 | 5.21806 | 50 | 5.22650 | ||||||
33 | 0 | 5.20926 | 43 | 0 | 5.21820 | 53 | 0 | 5.22664 | |||
10 | 5.20943 | 10 | 5.21835 | 10 | 5.22678 | ||||||
20 | 5.20957 | 20 | 5.21849 | 20 | 5.22691 | ||||||
30 | 5.20972 | 30 | 5.21864 | 30 | 5.20705 | ||||||
40 | 5.20987 | 40 | 5.21878 | 40 | 5.22718 | ||||||
50 | 5.21002 | 50 | 5.21893 | 50 | 5.22732 | ||||||
34 | 0 | 5.21018 | 44 | 0 | 5.21908 | 54 | 0 | 5.22745 | |||
10 | 5.21033 | 10 | 5.21922 | 10 | 5.22759 | ||||||
20 | 5.21048 | 20 | 5.21936 | 20 | 5.22773 | ||||||
30 | 5.21063 | 30 | 5.21950 | 30 | 5.20786 | ||||||
40 | 5.21079 | 40 | 5.21964 | 40 | 5.22800 | ||||||
50 | 5.21094 | 50 | 5.21979 | 50 | 5.22813 | ||||||
35 | 0 | 5.21109 | 45 | 0 | 5.21993 | 55 | 0 | 5.22827 | |||
10 | 5.21124 | 10 | 5.22007 | 10 | 5.22840 | ||||||
20 | 5.21140 | 20 | 5.22021 | 20 | 5.22854 | ||||||
30 | 5.21155 | 30 | 5.22036 | 30 | 5.22868 | ||||||
40 | 5.21170 | 40 | 5.22050 | 40 | 5.22881 | ||||||
50 | 5.21185 | 50 | 5.22064 | 50 | 5.22895 | ||||||
36 | 0 | 5.21201 | 46 | 0 | 5.22078 | 56 | 0 | 5.22908 | |||
10 | 5.21215 | 10 | 5.22092 | 10 | 5.22921 | ||||||
20 | 5.21230 | 20 | 5.22107 | 20 | 5.22935 | ||||||
30 | 5.21245 | 30 | 5.22121 | 30 | 5.20948 | ||||||
40 | 5.21260 | 40 | 5.22135 | 40 | 5.22961 | ||||||
50 | 5.21275 | 50 | 5.22149 | 50 | 5.22974 | ||||||
37 | 0 | 5.21290 | 47 | 0 | 5.22164 | 57 | 0 | 5.22988 | |||
10 | 5.21305 | 10 | 5.22178 | 10 | 5.23001 | ||||||
20 | 5.21320 | 20 | 5.22192 | 20 | 5.23014 | ||||||
30 | 5.21335 | 30 | 5.22206 | 30 | 5.23027 | ||||||
40 | 5.21350 | 40 | 5.22221 | 40 | 5.23040 | ||||||
50 | 5.21364 | 50 | 5.22235 | 50 | 5.23054 | ||||||
38 | 0 | 5.21379 | 48 | 0 | 5.22249 | 58 | 0 | 5.23069 | |||
10 | 5.21394 | 10 | 5.22263 | 10 | 5.23080 | ||||||
20 | 5.21409 | 20 | 5.22277 | 20 | 5.23093 | ||||||
30 | 5.21424 | 30 | 5.22291 | 30 | 5.23107 | ||||||
40 | 5.21439 | 40 | 5.22305 | 40 | 5.23120 | ||||||
50 | 5.21454 | 50 | 5.22318 | 50 | 5.23133 | ||||||
39 | 0 | 5.21469 | 49 | 0 | 5.22332 | 59 | 0 | 5.23146 | |||
10 | 5.21484 | 10 | 5.22346 | 10 | 5.23160 | ||||||
20 | 5.21499 | 20 | 5.22360 | 20 | 5.23173 | ||||||
30 | 5.21513 | 30 | 5.22374 | 30 | 5.23186 | ||||||
40 | 5.21528 | 40 | 5.22388 | 40 | 5.23199 | ||||||
50 | 5.21543 | 50 | 5.22402 | 50 | 5.23213 |
[page 81]
TO
EVERY DEGREE AND MINUTE
OF THE
L
[page] 82
TABLE XVII. Natural Sines. | |||||||||||
0° | 1° | 2° | 3° | 4° | |||||||
M | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | |
0 | 00000 | 100000 | 01745 | 99985 | 03490 | 99939 | 05234 | 99863 | 06976 | 99756 | |
1 | 00029 | 100000 | 01774 | 99984 | 03519 | 99938 | 05263 | 99861 | 07005 | 99754 | |
2 | 00058 | 100000 | 01803 | 99984 | 03548 | 99937 | 05292 | 99860 | 07034 | 99752 | |
3 | 00087 | 100000 | 01832 | 99983 | 03577 | 99936 | 05321 | 99858 | 07063 | 99750 | |
4 | 00116 | 100000 | 01862 | 99983 | 03606 | 99935 | 05350 | 99857 | 07092 | 99748 | |
5 | 00145 | 100000 | 01891 | 99982 | 03635 | 99934 | 05379 | 99855 | 07121 | 99746 | |
6 | 00175 | 100000 | 01920 | 99982 | 03664 | 99933 | 05408 | 99854 | 07150 | 99744 | |
7 | 00204 | 100000 | 01949 | 99981 | 03693 | 99932 | 05437 | 99852 | 07179 | 99742 | |
8 | 00233 | 100000 | 01978 | 99980 | 03723 | 99931 | 05466 | 99851 | 07208 | 99740 | |
9 | 00262 | 100000 | 02007 | 99980 | 03752 | 99930 | 05495 | 99849 | 07237 | 99738 | |
10 | 00291 | 100000 | 02036 | 99979 | 03781 | 99929 | 05524 | 99847 | 07266 | 99736 | |
11 | 00320 | 99999 | 02065 | 99979 | 03810 | 99927 | 05553 | 99846 | 07295 | 99734 | |
12 | 00349 | 99999 | 02094 | 99978 | 03839 | 99926 | 05582 | 99844 | 07324 | 99731 | |
13 | 00378 | 99999 | 02123 | 99977 | 03868 | 99925 | 05611 | 99842 | 07353 | 99729 | |
14 | 00407 | 99999 | 02152 | 99977 | 03897 | 99924 | 05640 | 99841 | 07382 | 99727 | |
15 | 00436 | 99999 | 02181 | 99976 | 03926 | 99923 | 05669 | 99839 | 07411 | 99725 | |
16 | 00465 | 99999 | 02211 | 99976 | 03955 | 99922 | 05698 | 99838 | 07440 | 99723 | |
17 | 00495 | 99999 | 02240 | 99975 | 03984 | 99921 | 05727 | 99836 | 07469 | 99721 | |
18 | 00524 | 99999 | 02269 | 99974 | 04013 | 99919 | 05756 | 99834 | 07498 | 99719 | |
19 | 00553 | 99998 | 02298 | 99974 | 04042 | 99918 | 05785 | 99833 | 07527 | 99716 | |
20 | 00582 | 99998 | 02327 | 99973 | 04071 | 99917 | 05814 | 99831 | 07556 | 99714 | |
21 | 00611 | 99998 | 02356 | 99972 | 04100 | 99916 | 05844 | 99829 | 07585 | 99712 | |
22 | 00640 | 99998 | 02385 | 99972 | 04129 | 99915 | 05873 | 99827 | 07614 | 99710 | |
23 | 00669 | 99998 | 02414 | 99971 | 04159 | 99913 | 05902 | 99826 | 07643 | 99708 | |
24 | 00698 | 99998 | 02443 | 99970 | 04188 | 99912 | 05931 | 99824 | 07672 | 99705 | |
25 | 00727 | 99997 | 02472 | 99969 | 04217 | 99911 | 05960 | 99822 | 07701 | 99703 | |
26 | 00756 | 99997 | 02501 | 99969 | 04246 | 99910 | 05989 | 99821 | 07730 | 99701 | |
27 | 00785 | 99997 | 02530 | 99968 | 04275 | 99909 | 05018 | 99819 | 07759 | 99699 | |
28 | 00814 | 99997 | 02560 | 99967 | 04304 | 99907 | 05047 | 99817 | 07788 | 99696 | |
29 | 00844 | 99996 | 02589 | 99966 | 04333 | 99906 | 05076 | 99815 | 07817 | 99694 | |
30 | 00873 | 99996 | 02618 | 99966 | 04362 | 99905 | 05105 | 99813 | 07846 | 99692 | |
31 | 00902 | 99996 | 02647 | 99965 | 04391 | 99904 | 06134 | 99812 | 07875 | 99689 | |
32 | 00931 | 99996 | 02676 | 99964 | 04420 | 99902 | 06163 | 99810 | 07904 | 99687 | |
33 | 00960 | 99995 | 02705 | 99963 | 04449 | 99901 | 06192 | 99808 | 07933 | 99685 | |
34 | 00989 | 99995 | 02734 | 99963 | 04478 | 99900 | 06221 | 99806 | 07962 | 99683 | |
35 | 01018 | 99995 | 02763 | 99962 | 04507 | 99898 | 06250 | 99804 | 07991 | 99680 | |
36 | 01047 | 99995 | 02792 | 99961 | 04536 | 99897 | 06279 | 99803 | 08020 | 99678 | |
37 | 01076 | 99994 | 02821 | 99960 | 04565 | 99896 | 06308 | 99801 | 08049 | 99676 | |
38 | 01105 | 99994 | 02850 | 99959 | 04594 | 99894 | 06337 | 99799 | 08078 | 99673 | |
39 | 01134 | 99994 | 02879 | 99959 | 04623 | 99893 | 06366 | 99797 | 08107 | 99671 | |
40 | 01164 | 99993 | 02908 | 99958 | 04653 | 99892 | 06395 | 99795 | 08136 | 99668 | |
41 | 01193 | 99993 | 02938 | 99957 | 04682 | 99890 | 06424 | 99793 | 08165 | 99666 | |
42 | 01222 | 99993 | 02967 | 99956 | 04711 | 99889 | 06453 | 99792 | 08194 | 99664 | |
43 | 01251 | 99992 | 02996 | 99955 | 04740 | 99888 | 06482 | 99790 | 08223 | 99661 | |
44 | 01280 | 99992 | 03025 | 99954 | 04769 | 99886 | 06511 | 99788 | 08252 | 99659 | |
45 | 01309 | 99991 | 03054 | 99953 | 04798 | 99885 | 06540 | 99786 | 08281 | 99657 | |
46 | 01338 | 99991 | 03083 | 99952 | 04827 | 99883 | 06569 | 99784 | 08310 | 99654 | |
47 | 01367 | 99991 | 03112 | 99952 | 04856 | 99882 | 06598 | 99782 | 08339 | 99652 | |
48 | 01396 | 99990 | 03141 | 99951 | 04885 | 99881 | 06627 | 99780 | 08368 | 99649 | |
49 | 01425 | 99990 | 03170 | 99950 | 04914 | 99879 | 06656 | 99778 | 08397 | 99647 | |
50 | 01454 | 99989 | 03199 | 99949 | 04943 | 99878 | 06685 | 99776 | 08426 | 99644 | |
51 | 01483 | 99989 | 03228 | 99948 | 04972 | 99876 | 06714 | 99774 | 08455 | 99642 | |
52 | 01513 | 99989 | 03257 | 99947 | 05001 | 99875 | 06743 | 99772 | 08484 | 99639 | |
53 | 01542 | 99988 | 03286 | 99946 | 05030 | 99873 | 06773 | 99770 | 08513 | 99637 | |
54 | 01571 | 99988 | 03316 | 99945 | 05059 | 99872 | 06802 | 99768 | 08542 | 99635 | |
55 | 01600 | 99987 | 03345 | 99944 | 05088 | 99870 | 06831 | 99766 | 08571 | 99632 | |
56 | 01629 | 99987 | 03374 | 99943 | 05117 | 99869 | 06860 | 99764 | 08600 | 99630 | |
57 | 01658 | 99986 | 03403 | 99942 | 05146 | 99867 | 06889 | 99762 | 08629 | 99627 | |
58 | 01687 | 99986 | 03432 | 99941 | 05175 | 99866 | 06918 | 99760 | 08658 | 99625 | |
59 | 01716 | 99985 | 03461 | 99940 | 05205 | 99864 | 06947 | 99758 | 08687 | 99622 | |
60 | 01745 | 99985 | 03490 | 99939 | 05234 | 99863 | 06976 | 99756 | 08716 | 99619 | |
N.cof. | N. fine. | N.cof. | N. fine. | N.cof. | N. fine. | N.cof. | N. fine. | N.cof. | N. fine. | M | |
89° | 88° | 87° | 86° | 85° |
[page] 83
TABLE XVII. Natural Sines. | |||||||||||
5° | 6° | 7° | 8° | 9° | |||||||
M | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | |
0 | 08716 | 99619 | 10453 | 99452 | 12187 | 99255 | 13917 | 99027 | 15643 | 98769 | 60 |
1 | 08745 | 99617 | 10482 | 99449 | 12216 | 99251 | 13946 | 99023 | 15672 | 98764 | 59 |
2 | 08774 | 99614 | 10511 | 99446 | 12245 | 99248 | 13975 | 99019 | 15701 | 98760 | 58 |
3 | 08803 | 99612 | 10540 | 99443 | 12274 | 99244 | 14004 | 99015 | 15730 | 98755 | 57 |
4 | 08831 | 99609 | 10569 | 99440 | 12302 | 99240 | 14033 | 99011 | 15758 | 98751 | 56 |
5 | 08860 | 99607 | 10597 | 99437 | 12331 | 99237 | 14061 | 99006 | 15787 | 98746 | 55 |
6 | 08889 | 99604 | 10626 | 99434 | 12360 | 99233 | 14090 | 99002 | 15816 | 98741 | 54 |
7 | 08918 | 99602 | 10655 | 99431 | 12389 | 99230 | 14119 | 98998 | 15845 | 98737 | 53 |
8 | 08947 | 99599 | 10684 | 99428 | 12418 | 99226 | 14148 | 98994 | 15873 | 98732 | 52 |
9 | 08976 | 99596 | 10713 | 99424 | 12447 | 99222 | 14177 | 98990 | 15902 | 98728 | 51 |
10 | 09005 | 99594 | 10742 | 99421 | 12476 | 99219 | 14205 | 98986 | 15931 | 98723 | 50 |
11 | 09034 | 99591 | 10771 | 99418 | 12504 | 99215 | 14234 | 98982 | 15959 | 98718 | 49 |
12 | 09063 | 99588 | 10800 | 99415 | 12533 | 99211 | 14263 | 98978 | 15988 | 98714 | 48 |
13 | 09092 | 99586 | 10829 | 99412 | 12562 | 99208 | 14292 | 98973 | 16017 | 98709 | 47 |
14 | 09121 | 99583 | 10858 | 99409 | 12591 | 99204 | 14320 | 98969 | 16046 | 98704 | 46 |
15 | 09150 | 99580 | 10887 | 99406 | 12620 | 99200 | 14349 | 98965 | 16074 | 98700 | 45 |
16 | 09179 | 99578 | 10916 | 99402 | 12649 | 99197 | 14378 | 98961 | 16103 | 98695 | 44 |
17 | 09208 | 99575 | 10945 | 99399 | 12678 | 99193 | 14407 | 98957 | 16132 | 98690 | 43 |
18 | 09237 | 99572 | 10973 | 99396 | 12706 | 99189 | 14436 | 98953 | 16161 | 98686 | 42 |
19 | 09266 | 99570 | 11002 | 99393 | 12735 | 99186 | 14464 | 98948 | 16189 | 98681 | 41 |
20 | 09295 | 99567 | 11031 | 99390 | 12764 | 99182 | 14493 | 98644 | 16218 | 98676 | 40 |
21 | 09324 | 99564 | 11060 | 99386 | 12793 | 99178 | 14522 | 98940 | 16246 | 98671 | 39 |
22 | 09353 | 99562 | 11089 | 99383 | 12822 | 99175 | 14551 | 98936 | 16275 | 98667 | 38 |
23 | 09382 | 99559 | 11118 | 99380 | 12851 | 99171 | 14580 | 98931 | 16304 | 98662 | 37 |
24 | 09411 | 99556 | 11147 | 99377 | 12880 | 99167 | 14608 | 98927 | 16333 | 98657 | 36 |
25 | 09440 | 99553 | 11176 | 99374 | 12908 | 99163 | 14637 | 98923 | 16361 | 98652 | 35 |
26 | 09469 | 99551 | 11205 | 99370 | 12937 | 99160 | 14666 | 98919 | 16390 | 98648 | 34 |
27 | 09498 | 99548 | 11234 | 99367 | 12966 | 99156 | 14695 | 98914 | 16419 | 98643 | 33 |
28 | 09527 | 99545 | 11263 | 99364 | 12995 | 99152 | 14723 | 98910 | 16447 | 98638 | 32 |
29 | 09556 | 99542 | 11291 | 99360 | 13024 | 99148 | 14752 | 98906 | 16476 | 98633 | 31 |
30 | 09585 | 99540 | 11320 | 99357 | 13053 | 99144 | 14781 | 98902 | 16505 | 98629 | 30 |
31 | 09614 | 99537 | 11349 | 99354 | 13081 | 99141 | 14810 | 98897 | 16533 | 98624 | 29 |
32 | 09642 | 99534 | 11378 | 99351 | 13110 | 99137 | 14838 | 98893 | 16562 | 98619 | 28 |
33 | 09671 | 99531 | 11407 | 99347 | 13139 | 99133 | 14867 | 98889 | 16591 | 98614 | 27 |
34 | 09700 | 99528 | 11436 | 99344 | 13168 | 99129 | 14896 | 98884 | 16620 | 98609 | 26 |
35 | 09729 | 99526 | 11465 | 99341 | 13197 | 99125 | 14925 | 98880 | 16648 | 98604 | 25 |
36 | 09758 | 99523 | 11494 | 99337 | 13226 | 99122 | 14954 | 98876 | 16677 | 98600 | 24 |
37 | 09787 | 99520 | 11523 | 99334 | 13254 | 99118 | 14982 | 98871 | 16706 | 98595 | 23 |
38 | 09816 | 99517 | 11552 | 99331 | 13283 | 99114 | 15011 | 98867 | 16734 | 98590 | 22 |
39 | 09845 | 99514 | 11580 | 99327 | 13312 | 99110 | 15040 | 98863 | 16763 | 98585 | 21 |
40 | 09874 | 99511 | 11609 | 99324 | 13341 | 99106 | 15069 | 98858 | 16792 | 98580 | 20 |
41 | 09903 | 99508 | 11638 | 99320 | 13370 | 99102 | 15097 | 98854 | 16820 | 98575 | 19 |
42 | 09932 | 99506 | 11667 | 99317 | 13399 | 99098 | 15126 | 98849 | 16849 | 98570 | 18 |
43 | 09961 | 99503 | 11696 | 99314 | 13427 | 99094 | 15155 | 98845 | 16878 | 98565 | 17 |
44 | 09990 | 99500 | 11725 | 99310 | 13456 | 99091 | 15184 | 98841 | 16906 | 98561 | 16 |
45 | 10019 | 99497 | 11754 | 99307 | 13485 | 99087 | 15212 | 98836 | 16935 | 98556 | 15 |
46 | 10048 | 99494 | 11783 | 99303 | 13514 | 99083 | 15241 | 98832 | 16964 | 98551 | 14 |
47 | 10077 | 99491 | 11812 | 99300 | 13543 | 99079 | 15270 | 98827 | 16992 | 98546 | 13 |
48 | 10106 | 99488 | 11840 | 99297 | 13572 | 99075 | 15299 | 98823 | 17021 | 98541 | 12 |
49 | 10135 | 99485 | 11869 | 99293 | 13600 | 99071 | 15327 | 98818 | 17050 | 98536 | 11 |
50 | 10164 | 99482 | 11898 | 99290 | 13629 | 99067 | 15356 | 98814 | 17078 | 98531 | 10 |
51 | 10192 | 99479 | 11927 | 99286 | 13658 | 99063 | 15385 | 98809 | 17107 | 98526 | 9 |
52 | 10221 | 99476 | 11956 | 99283 | 13687 | 99059 | 15414 | 98805 | 17136 | 98521 | 8 |
53 | 10250 | 99473 | 11985 | 99279 | 13716 | 99055 | 15442 | 98800 | 17164 | 98516 | 7 |
54 | 10279 | 99470 | 12014 | 99276 | 13744 | 99051 | 15471 | 98796 | 17193 | 98511 | 6 |
55 | 10308 | 99467 | 12043 | 99272 | 13773 | 99047 | 15500 | 99791 | 17222 | 98506 | 5 |
56 | 10337 | 99464 | 12071 | 99269 | 13802 | 99043 | 15529 | 98787 | 17250 | 98501 | 4 |
57 | 10366 | 99461 | 12100 | 99265 | 13831 | 99039 | 15557 | 98782 | 17279 | 98496 | 3 |
58 | 10395 | 99458 | 12129 | 99262 | 13860 | 99035 | 15586 | 98778 | 17308 | 98491 | 2 |
59 | 10424 | 99455 | 12158 | 99258 | 13889 | 99031 | 15615 | 98773 | 17336 | 98486 | 1 |
60 | 10453 | 99452 | 12187 | 99255 | 13917 | 99027 | 15643 | 98769 | 17365 | 98481 | 0 |
N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | M | |
84° | 83° | 82° | 81° | 80° |
L 2
[page] 84
TABLE XVII. Natural Sines. | |||||||||||
10° | 11° | 12° | 13° | 14° | |||||||
M | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | |
0 | 17365 | 98481 | 19081 | 98163 | 20791 | 97815 | 22495 | 97437 | 24192 | 97030 | 60 |
1 | 17393 | 98476 | 19109 | 98157 | 20820 | 97809 | 22523 | 97430 | 24220 | 97023 | 59 |
2 | 17422 | 98471 | 19138 | 98152 | 20848 | 97803 | 22552 | 97424 | 24229 | 97015 | 58 |
3 | 17451 | 98466 | 19167 | 98146 | 20877 | 97797 | 22580 | 97417 | 24277 | 97008 | 57 |
4 | 17479 | 98461 | 19195 | 98140 | 20905 | 97791 | 22608 | 97411 | 24305 | 97001 | 56 |
5 | 17508 | 98455 | 19224 | 98135 | 20933 | 97784 | 22637 | 97404 | 24333 | 96994 | 55 |
6 | 17537 | 98450 | 19252 | 98129 | 20962 | 97778 | 22665 | 97398 | 24362 | 96987 | 54 |
7 | 17565 | 98445 | 19281 | 98124 | 20990 | 97772 | 22693 | 97391 | 24390 | 96980 | 53 |
8 | 17594 | 98440 | 19309 | 98118 | 21019 | 97766 | 22722 | 97384 | 24418 | 96973 | 52 |
9 | 17623 | 98435 | 19338 | 98112 | 21047 | 97760 | 22750 | 97378 | 24446 | 96966 | 51 |
10 | 17651 | 98430 | 19366 | 98107 | 21076 | 97754 | 22778 | 97371 | 24474 | 96959 | 50 |
11 | 17680 | 98425 | 19395 | 98101 | 21104 | 97748 | 22807 | 97365 | 24503 | 96952 | 49 |
12 | 17708 | 98420 | 19423 | 98096 | 21132 | 97742 | 22835 | 97358 | 24531 | 96946 | 48 |
13 | 17737 | 98414 | 19452 | 98090 | 21161 | 97735 | 22863 | 97351 | 24559 | 96937 | 47 |
14 | 17766 | 98409 | 19481 | 98084 | 21189 | 97729 | 22892 | 97345 | 24587 | 96930 | 46 |
15 | 17794 | 98404 | 19509 | 98079 | 21218 | 97723 | 22920 | 97338 | 24615 | 96922 | 45 |
16 | 17823 | 98399 | 19538 | 98073 | 21246 | 97717 | 22948 | 97331 | 24644 | 96916 | 44 |
17 | 17852 | 98394 | 19566 | 98067 | 21275 | 97711 | 22977 | 97325 | 24672 | 96909 | 43 |
18 | 17880 | 98389 | 19595 | 98061 | 21303 | 97705 | 23005 | 97318 | 24700 | 96902 | 42 |
19 | 17909 | 98383 | 19623 | 98056 | 21331 | 97698 | 23033 | 97311 | 24728 | 98894 | 41 |
20 | 17937 | 98378 | 19652 | 98050 | 21360 | 97692 | 23062 | 97304 | 24756 | 96887 | 40 |
21 | 17966 | 98373 | 19680 | 98044 | 21388 | 97686 | 23090 | 97298 | 24784 | 96880 | 39 |
22 | 17955 | 98368 | 19709 | 98039 | 21417 | 97680 | 23118 | 97291 | 24813 | 96873 | 38 |
23 | 18023 | 98362 | 19737 | 98033 | 21445 | 97673 | 23146 | 97284 | 24841 | 96866 | 37 |
24 | 18052 | 98357 | 19766 | 98027 | 21474 | 97667 | 23175 | 97278 | 24869 | 96858 | 36 |
25 | 18081 | 98352 | 19794 | 98021 | 21502 | 97661 | 23203 | 97271 | 24897 | 96851 | 35 |
26 | 18109 | 98347 | 19823 | 98016 | 21530 | 97655 | 23231 | 97264 | 24925 | 96844 | 34 |
27 | 18138 | 98341 | 19851 | 98010 | 21559 | 97648 | 23260 | 97257 | 24953 | 96837 | 33 |
28 | 18166 | 98336 | 19880 | 98004 | 21587 | 97642 | 23288 | 97251 | 24982 | 96829 | 32 |
29 | 18195 | 98331 | 19908 | 97998 | 21616 | 97636 | 23316 | 97244 | 25010 | 96822 | 31 |
30 | 18224 | 98325 | 19937 | 97992 | 21644 | 97630 | 23345 | 97237 | 25038 | 96815 | 30 |
31 | 18252 | 98320 | 19965 | 97987 | 21672 | 97623 | 23373 | 97230 | 25066 | 96807 | 29 |
32 | 18281 | 98315 | 19994 | 97981 | 21701 | 97617 | 23401 | 97223 | 25094 | 96800 | 28 |
33 | 18309 | 98310 | 20022 | 97975 | 21729 | 97611 | 23429 | 97217 | 25122 | 96793 | 27 |
34 | 18338 | 98304 | 20051 | 97969 | 21758 | 97604 | 23458 | 97210 | 25151 | 96786 | 26 |
35 | 18367 | 98299 | 20079 | 97963 | 21786 | 97598 | 23486 | 97203 | 25179 | 96778 | 25 |
36 | 18395 | 98294 | 20108 | 97958 | 21814 | 97592 | 23514 | 97196 | 25207 | 96771 | 24 |
37 | 18424 | 98288 | 20136 | 97952 | 21843 | 97585 | 23542 | 97189 | 25235 | 96764 | 23 |
38 | 18452 | 98283 | 20165 | 97946 | 21871 | 97579 | 23571 | 97182 | 25263 | 96756 | 22 |
39 | 18481 | 98277 | 20193 | 97940 | 21899 | 97573 | 23599 | 97176 | 25291 | 96749 | 21 |
40 | 18509 | 98272 | 20222 | 97934 | 21928 | 97566 | 33627 | 97169 | 25320 | 96742 | 20 |
41 | 18538 | 98267 | 20250 | 97928 | 21956 | 97560 | 23656 | 97162 | 25348 | 96734 | 19 |
42 | 18567 | 98261 | 20279 | 97922 | 21985 | 97553 | 23684 | 97155 | 25376 | 96727 | 18 |
43 | 18595 | 98256 | 20307 | 97916 | 22013 | 97547 | 23712 | 97148 | 25404 | 96719 | 17 |
44 | 18624 | 98250 | 20336 | 97910 | 22041 | 97541 | 23740 | 97141 | 25432 | 96712 | 16 |
45 | 18652 | 98245 | 20364 | 97905 | 22070 | 97534 | 23769 | 97134 | 25460 | 96705 | 15 |
46 | 18681 | 98240 | 20393 | 97899 | 22098 | 97528 | 23797 | 97127 | 25488 | 96697 | 14 |
47 | 18710 | 98234 | 20421 | 97893 | 22126 | 97521 | 23825 | 97120 | 25516 | 96690 | 13 |
48 | 18738 | 98229 | 20450 | 97877 | 22155 | 97515 | 23853 | 97113 | 25545 | 96682 | 12 |
49 | 18767 | 98223 | 20478 | 97881 | 22183 | 97508 | 23882 | 97106 | 25573 | 96675 | 11 |
50 | 18795 | 98218 | 20507 | 97875 | 22212 | 97502 | 23910 | 97100 | 25601 | 96667 | 10 |
51 | 18824 | 98212 | 20535 | 97869 | 22240 | 97496 | 23938 | 97093 | 25629 | 96660 | 9 |
52 | 18852 | 98207 | 20563 | 97863 | 22268 | 97489 | 23966 | 97086 | 25657 | 96653 | 8 |
53 | 18881 | 98201 | 20592 | 97857 | 22297 | 97483 | 23995 | 97079 | 25685 | 96645 | 7 |
54 | 18910 | 98196 | 20620 | 97851 | 22325 | 97476 | 24023 | 97072 | 25713 | 96638 | 6 |
55 | 18938 | 98190 | 20649 | 97845 | 22353 | 97470 | 24051 | 97065 | 25741 | 96630 | 5 |
56 | 18967 | 98185 | 20677 | 97839 | 22382 | 97463 | 24079 | 97058 | 25769 | 96623 | 4 |
57 | 18995 | 98179 | 20706 | 97833 | 22410 | 97457 | 24108 | 97051 | 25798 | 96615 | 3 |
58 | 19024 | 98174 | 20734 | 97827 | 22438 | 97450 | 24136 | 97044 | 25826 | 96608 | 2 |
59 | 19052 | 98168 | 20763 | 97821 | 22467 | 97444 | 24164 | 97037 | 25854 | 96600 | 1 |
60 | 19081 | 98163 | 20791 | 97815 | 22495 | 97437 | 24192 | 97030 | 25882 | 96593 | 0 |
N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | M | |
79° | 78° | 77° | 76° | 75° |
[page] 85
TABLE XVII. Natural Sines. | |||||||||||
15° | 16° | 17° | 18° | 19° | |||||||
M | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | |
0 | 25882 | 96593 | 27564 | 96126 | 29237 | 95630 | 30902 | 95106 | 32557 | 94552 | 60 |
1 | 25910 | 96585 | 27592 | 96118 | 29265 | 95622 | 30929 | 95097 | 32584 | 94542 | 59 |
2 | 25938 | 96578 | 27620 | 96110 | 29293 | 95613 | 30957 | 95088 | 32612 | 94533 | 58 |
3 | 25966 | 96570 | 27648 | 96102 | 29321 | 95605 | 30985 | 95079 | 32639 | 94523 | 57 |
4 | 25994 | 96562 | 27676 | 96094 | 29348 | 95596 | 31012 | 95070 | 32667 | 94514 | 56 |
5 | 26022 | 96555 | 27704 | 96086 | 29376 | 95588 | 31040 | 95061 | 32694 | 94504 | 55 |
6 | 26050 | 96547 | 27731 | 96078 | 29404 | 95579 | 31068 | 95052 | 32722 | 94495 | 54 |
7 | 26079 | 96540 | 27759 | 96070 | 29432 | 95571 | 31095 | 95043 | 32749 | 94485 | 53 |
8 | 26107 | 96532 | 27787 | 96062 | 29460 | 95562 | 31123 | 95033 | 32777 | 94476 | 52 |
9 | 26135 | 96524 | 27815 | 96054 | 29487 | 95554 | 31151 | 95024 | 32804 | 94466 | 51 |
10 | 26163 | 96517 | 27843 | 96046 | 29515 | 95545 | 31178 | 95015 | 32832 | 94457 | 50 |
11 | 26191 | 96509 | 27871 | 96037 | 29543 | 95536 | 31206 | 95006 | 32859 | 94447 | 49 |
12 | 26219 | 96502 | 27899 | 96029 | 29571 | 95528 | 31233 | 94997 | 32887 | 94438 | 48 |
13 | 26247 | 96494 | 27927 | 96021 | 29599 | 95519 | 31261 | 94988 | 32914 | 94428 | 47 |
14 | 26275 | 96486 | 27955 | 96013 | 29626 | 95511 | 31289 | 94979 | 32942 | 94418 | 46 |
15 | 26303 | 96479 | 27983 | 96005 | 29654 | 95502 | 31316 | 94970 | 32969 | 94409 | 45 |
16 | 26331 | 96471 | 28011 | 95997 | 29682 | 95493 | 31344 | 94961 | 32997 | 94399 | 44 |
17 | 26359 | 96463 | 28039 | 95989 | 29710 | 95485 | 31372 | 94952 | 33024 | 94390 | 43 |
18 | 26387 | 96456 | 28067 | 95981 | 29737 | 95476 | 31399 | 94943 | 33051 | 94380 | 42 |
19 | 26415 | 96448 | 28095 | 95972 | 29765 | 95467 | 31427 | 94933 | 33079 | 94370 | 41 |
20 | 26443 | 96440 | 28123 | 95964 | 29793 | 95459 | 31454 | 94924 | 33106 | 94361 | 40 |
21 | 26471 | 96433 | 28150 | 95956 | 29821 | 95450 | 31482 | 94915 | 33134 | 94351 | 39 |
22 | 26500 | 96425 | 28178 | 95948 | 29849 | 95441 | 31510 | 94906 | 33161 | 94342 | 38 |
23 | 26528 | 96417 | 28206 | 95940 | 29876 | 95433 | 31537 | 94897 | 33189 | 94332 | 37 |
24 | 26556 | 96410 | 28234 | 95931 | 29904 | 95424 | 31565 | 94888 | 33216 | 94322 | 36 |
25 | 26584 | 96402 | 28262 | 95923 | 29932 | 95415 | 31593 | 94878 | 33244 | 94313 | 35 |
26 | 26612 | 96394 | 28290 | 95915 | 29960 | 95407 | 31620 | 94869 | 33271 | 94303 | 34 |
27 | 26640 | 96386 | 28318 | 95907 | 29987 | 95398 | 31648 | 94860 | 33298 | 94293 | 33 |
28 | 26668 | 96379 | 28346 | 95898 | 30015 | 95389 | 31675 | 94851 | 33326 | 94284 | 32 |
29 | 26696 | 96371 | 28374 | 95890 | 30043 | 95380 | 31703 | 94842 | 33353 | 94274 | 31 |
30 | 26724 | 96363 | 28402 | 95882 | 30071 | 95372 | 31730 | 94832 | 33381 | 94264 | 30 |
31 | 26752 | 96355 | 28429 | 95874 | 30098 | 95363 | 31758 | 94823 | 33408 | 94254 | 29 |
32 | 26780 | 96347 | 28457 | 95865 | 30126 | 95354 | 31786 | 94814 | 33436 | 94245 | 28 |
33 | 26808 | 96340 | 28485 | 95857 | 30154 | 95345 | 31813 | 94805 | 33463 | 94235 | 27 |
34 | 26836 | 96322 | 28513 | 95849 | 30182 | 95337 | 31841 | 94795 | 33490 | 94225 | 26 |
35 | 26864 | 96324 | 28541 | 95841 | 30209 | 95328 | 31868 | 94786 | 33518 | 94215 | 25 |
36 | 26892 | 96316 | 28569 | 95832 | 30237 | 95319 | 31896 | 94777 | 33545 | 94206 | 24 |
37 | 26920 | 96308 | 28597 | 95824 | 30265 | 95310 | 31923 | 94768 | 33573 | 94196 | 23 |
38 | 26948 | 96301 | 28625 | 95816 | 30292 | 95301 | 31951 | 94758 | 33600 | 94186 | 22 |
39 | 26976 | 96293 | 28652 | 95807 | 30320 | 95293 | 31979 | 94749 | 33627 | 94176 | 21 |
40 | 27004 | 96285 | 28680 | 95799 | 30348 | 95284 | 32006 | 94740 | 33655 | 94167 | 20 |
41 | 27032 | 96277 | 28708 | 95791 | 30376 | 95275 | 32034 | 94730 | 33682 | 94157 | 19 |
42 | 27060 | 96269 | 28736 | 95782 | 30403 | 95266 | 32061 | 94721 | 33710 | 94147 | 18 |
43 | 27088 | 96261 | 28764 | 95774 | 30431 | 95257 | 32089 | 94712 | 33737 | 94137 | 17 |
44 | 27116 | 96253 | 28792 | 95766 | 30459 | 95248 | 32116 | 94702 | 33764 | 94127 | 16 |
45 | 27144 | 96246 | 28820 | 95757 | 30486 | 95240 | 32144 | 94693 | 33792 | 94118 | 15 |
46 | 27172 | 96238 | 28847 | 95749 | 30514 | 95231 | 32171 | 94684 | 33819 | 94108 | 14 |
47 | 27200 | 96230 | 28875 | 95740 | 30542 | 95222 | 32199 | 94674 | 33846 | 94098 | 13 |
48 | 27228 | 96222 | 28903 | 95732 | 30570 | 95213 | 32227 | 94665 | 33874 | 94088 | 12 |
49 | 27256 | 96214 | 28931 | 95724 | 30597 | 95204 | 32254 | 94656 | 33901 | 94078 | 11 |
50 | 27284 | 96206 | 28959 | 95715 | 30625 | 95195 | 32282 | 94646 | 33929 | 94068 | 10 |
51 | 27312 | 96198 | 28987 | 95707 | 30653 | 95186 | 32309 | 94637 | 33956 | 94058 | 9 |
52 | 27340 | 96190 | 29015 | 95698 | 30680 | 95177 | 32337 | 94627 | 33983 | 94049 | 8 |
53 | 27368 | 96182 | 29042 | 95690 | 30708 | 95168 | 32364 | 94618 | 34011 | 94039 | 7 |
54 | 27396 | 96174 | 29070 | 95681 | 30736 | 95159 | 32392 | 94609 | 34038 | 94029 | 6 |
55 | 27424 | 96166 | 29098 | 95673 | 30763 | 95150 | 32419 | 94599 | 34065 | 94019 | 5 |
56 | 27452 | 96158 | 29126 | 95664 | 30791 | 95142 | 32447 | 94590 | 34093 | 94009 | 4 |
57 | 27480 | 96150 | 29154 | 95656 | 30819 | 95133 | 32474 | 94580 | 34120 | 93999 | 3 |
58 | 27508 | 96142 | 29182 | 95647 | 30846 | 95124 | 32502 | 94571 | 34147 | 93989 | 2 |
59 | 27536 | 96134 | 29209 | 95639 | 30874 | 95115 | 32529 | 94561 | 34175 | 93979 | 1 |
60 | 27564 | 96126 | 29237 | 95630 | 30902 | 95106 | 32557 | 94552 | 34202 | 93969 | 0 |
N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | M | |
74° | 73° | 72° | 71° | 70° |
[page] 86
TABLE XVII. Natural Sines. | |||||||||||
20° | 21° | 22° | 23° | 24° | |||||||
M | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | |
0 | 34202 | 93969 | 35837 | 93358 | 37461 | 92718 | 39073 | 92050 | 40674 | 91355 | 60 |
1 | 34229 | 93959 | 35864 | 93348 | 37488 | 92707 | 39100 | 92039 | 40700 | 91343 | 59 |
2 | 34257 | 93949 | 35891 | 93337 | 37515 | 92697 | 39127 | 92028 | 40727 | 91331 | 58 |
3 | 34284 | 93939 | 35918 | 93327 | 37542 | 92686 | 39153 | 92016 | 40753 | 91319 | 57 |
4 | 34311 | 93929 | 35945 | 93316 | 37569 | 92675 | 39180 | 92005 | 40780 | 91307 | 56 |
5 | 34339 | 93919 | 35973 | 93306 | 37595 | 92664 | 39207 | 91994 | 40806 | 91295 | 55 |
6 | 34366 | 93909 | 36000 | 93295 | 37622 | 92653 | 39234 | 91982 | 40833 | 91283 | 54 |
7 | 34393 | 93899 | 36027 | 93285 | 37649 | 92642 | 39260 | 91971 | 40860 | 91272 | 53 |
8 | 34421 | 93889 | 36054 | 93274 | 37676 | 92631 | 39287 | 91959 | 40886 | 91260 | 52 |
9 | 34448 | 93879 | 36081 | 93264 | 37703 | 92620 | 39314 | 91948 | 40913 | 91248 | 51 |
10 | 34475 | 93869 | 36108 | 93253 | 37730 | 92609 | 39341 | 91936 | 40939 | 91236 | 50 |
11 | 34503 | 93859 | 36135 | 93243 | 37757 | 92598 | 39367 | 91925 | 40966 | 91224 | 49 |
12 | 34530 | 93849 | 36162 | 93232 | 37784 | 92587 | 39394 | 91914 | 40992 | 91212 | 48 |
13 | 34557 | 93839 | 36190 | 93222 | 37811 | 92576 | 39421 | 91902 | 41019 | 91200 | 47 |
14 | 34584 | 93829 | 36217 | 93211 | 37838 | 92565 | 39448 | 91891 | 41045 | 91188 | 46 |
15 | 34612 | 93819 | 36244 | 93201 | 37865 | 92554 | 39474 | 91879 | 41072 | 91176 | 45 |
16 | 34639 | 93809 | 36271 | 93190 | 37892 | 92543 | 39501 | 91868 | 41098 | 91164 | 44 |
17 | 34666 | 93799 | 36298 | 93180 | 37919 | 92532 | 39528 | 91856 | 41125 | 91152 | 43 |
18 | 34694 | 93789 | 36325 | 93169 | 37946 | 92521 | 39555 | 91845 | 41151 | 91140 | 42 |
19 | 34721 | 93779 | 36352 | 93159 | 37973 | 92510 | 39581 | 91833 | 41178 | 91128 | 41 |
20 | 34748 | 93769 | 36379 | 93148 | 37999 | 92499 | 39608 | 91822 | 41204 | 91116 | 40 |
21 | 34775 | 93759 | 36406 | 93137 | 38026 | 92488 | 39635 | 91810 | 41231 | 91104 | 39 |
22 | 34803 | 93748 | 36434 | 93127 | 38053 | 92477 | 39661 | 91799 | 41257 | 91092 | 38 |
23 | 34830 | 93738 | 36461 | 93116 | 38080 | 92466 | 39688 | 91787 | 41284 | 91080 | 37 |
24 | 34857 | 93728 | 36488 | 93106 | 38107 | 92455 | 39715 | 91775 | 41310 | 91068 | 36 |
25 | 34884 | 93718 | 36515 | 93095 | 38134 | 92444 | 39741 | 91764 | 41337 | 91056 | 35 |
26 | 34912 | 93708 | 36542 | 93084 | 38161 | 92432 | 39768 | 91752 | 41363 | 91044 | 34 |
27 | 34939 | 93698 | 36569 | 93074 | 38188 | 92421 | 39795 | 91741 | 41390 | 91032 | 33 |
28 | 34966 | 93688 | 36596 | 93063 | 38215 | 92410 | 39822 | 91729 | 41416 | 91020 | 32 |
29 | 34993 | 93677 | 36623 | 93052 | 38241 | 92399 | 39848 | 91718 | 41443 | 91008 | 31 |
30 | 35021 | 93667 | 36650 | 93042 | 38268 | 92388 | 39875 | 91706 | 41469 | 90996 | 30 |
31 | 35048 | 93657 | 36677 | 93031 | 38295 | 92377 | 39902 | 91694 | 41496 | 90984 | 29 |
32 | 35075 | 93647 | 36704 | 93020 | 38322 | 92366 | 39928 | 91683 | 41522 | 90972 | 28 |
33 | 35102 | 93637 | 36731 | 93010 | 38349 | 92355 | 39955 | 91671 | 41549 | 90960 | 27 |
34 | 35130 | 93626 | 36758 | 92999 | 38376 | 92343 | 39982 | 91660 | 41575 | 90948 | 26 |
35 | 35157 | 93616 | 36785 | 92998 | 38403 | 92332 | 40008 | 91648 | 41602 | 90936 | 25 |
36 | 35184 | 93606 | 36812 | 92978 | 38430 | 92321 | 40035 | 91636 | 41628 | 90924 | 24 |
37 | 35211 | 93596 | 36839 | 92967 | 38456 | 92310 | 40062 | 91625 | 41655 | 90911 | 23 |
38 | 35239 | 93585 | 36867 | 92959 | 38483 | 92299 | 40088 | 91613 | 41681 | 90899 | 22 |
39 | 35266 | 93575 | 36894 | 92945 | 38510 | 92287 | 40115 | 91601 | 41707 | 90887 | 21 |
40 | 35293 | 93565 | 36921 | 92935 | 38537 | 92276 | 40141 | 91590 | 41734 | 90875 | 20 |
41 | 35320 | 93555 | 36948 | 92924 | 38564 | 92265 | 40168 | 91578 | 41760 | 90863 | 19 |
42 | 35347 | 93544 | 36975 | 92913 | 38591 | 92254 | 40195 | 91566 | 41787 | 90851 | 18 |
43 | 35375 | 93534 | 37002 | 92902 | 38617 | 92243 | 40221 | 91555 | 41813 | 90839 | 17 |
44 | 35402 | 93524 | 37029 | 92892 | 38644 | 92231 | 40248 | 91543 | 41840 | 90826 | 16 |
45 | 35429 | 93514 | 37056 | 92881 | 38671 | 92220 | 40275 | 91531 | 41866 | 90814 | 15 |
46 | 35456 | 93503 | 37083 | 92870 | 38698 | 92209 | 40301 | 91519 | 41892 | 90802 | 14 |
47 | 35484 | 93493 | 37110 | 92859 | 38725 | 92198 | 40328 | 91508 | 41919 | 90790 | 13 |
48 | 35511 | 93483 | 37137 | 92849 | 38752 | 92186 | 40355 | 91496 | 41945 | 90778 | 12 |
49 | 35538 | 93472 | 37164 | 92838 | 38778 | 92175 | 40381 | 91484 | 41972 | 90766 | 11 |
50 | 35565 | 93462 | 37191 | 92827 | 38805 | 92164 | 40408 | 91472 | 41998 | 90753 | 10 |
51 | 35592 | 93452 | 37218 | 92816 | 38832 | 92152 | 40434 | 91461 | 42024 | 90741 | 9 |
52 | 35619 | 93441 | 37245 | 92805 | 38859 | 92141 | 40461 | 91449 | 42051 | 90729 | 8 |
53 | 35647 | 93431 | 37272 | 92794 | 38886 | 92130 | 40488 | 91437 | 42077 | 90717 | 7 |
54 | 35674 | 93420 | 37299 | 92784 | 38912 | 92119 | 40514 | 91425 | 42104 | 90704 | 6 |
55 | 35701 | 93410 | 37326 | 92773 | 38939 | 92107 | 40541 | 91414 | 42130 | 90692 | 5 |
56 | 35728 | 93400 | 37353 | 92762 | 38966 | 92096 | 40567 | 91402 | 42156 | 90680 | 4 |
57 | 35755 | 93389 | 37380 | 92751 | 38993 | 92085 | 40594 | 91390 | 42183 | 90668 | 3 |
58 | 35782 | 93379 | 37407 | 92740 | 39020 | 92073 | 40621 | 91378 | 42209 | 90655 | 2 |
59 | 35810 | 93368 | 37434 | 92729 | 39046 | 92062 | 40647 | 91366 | 42235 | 90643 | 1 |
60 | 35837 | 93358 | 37461 | 92718 | 39073 | 92050 | 40674 | 91355 | 42262 | 90631 | 0 |
N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | M | |
69° | 68° | 67° | 66° | 65° |
[page] 87
TABLE XVII. Natural Sines. | |||||||||||
25° | 26° | 27° | 28° | 29° | |||||||
M | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | |
0 | 42262 | 90631 | 43837 | 89879 | 45399 | 89101 | 46947 | 88295 | 48481 | 87462 | 60 |
1 | 42288 | 90618 | 43863 | 89867 | 45399 | 89101 | 46947 | 88295 | 48481 | 87462 | 59 |
2 | 42315 | 90606 | 43889 | 89854 | 45451 | 89074 | 46999 | 88267 | 48532 | 87434 | 58 |
3 | 42341 | 90594 | 43916 | 89841 | 45477 | 89061 | 47024 | 88254 | 48557 | 87420 | 57 |
4 | 42367 | 90582 | 43942 | 89828 | 45503 | 89048 | 47050 | 88240 | 48583 | 87406 | 56 |
5 | 42394 | 90569 | 43968 | 89816 | 45529 | 89035 | 47076 | 88226 | 48608 | 87391 | 55 |
6 | 42420 | 90557 | 43994 | 89803 | 45554 | 89021 | 47101 | 88213 | 48634 | 87377 | 54 |
7 | 42446 | 90545 | 44020 | 89790 | 45580 | 89008 | 47127 | 88199 | 48659 | 87363 | 53 |
8 | 42473 | 90532 | 44046 | 89777 | 45606 | 88995 | 47153 | 88185 | 48684 | 87349 | 52 |
9 | 42499 | 90520 | 44072 | 89764 | 45632 | 88981 | 47178 | 88172 | 48710 | 87335 | 51 |
10 | 42525 | 90507 | 44098 | 89752 | 45658 | 89968 | 47204 | 88158 | 48735 | 87321 | 50 |
11 | 42552 | 90495 | 44124 | 89739 | 45684 | 88955 | 47229 | 88144 | 48761 | 87306 | 49 |
12 | 42578 | 90483 | 44151 | 89726 | 45710 | 88942 | 47255 | 88130 | 48786 | 87292 | 48 |
13 | 42604 | 90470 | 44177 | 89713 | 45736 | 88928 | 47281 | 88117 | 48811 | 87278 | 47 |
14 | 42631 | 90458 | 44203 | 89700 | 45762 | 88915 | 47306 | 88103 | 48837 | 87264 | 46 |
15 | 42657 | 90446 | 44229 | 89687 | 45787 | 88902 | 47332 | 88089 | 48862 | 87250 | 45 |
16 | 42683 | 90433 | 44255 | 89674 | 45813 | 88888 | 47358 | 88075 | 48888 | 87235 | 44 |
17 | 42709 | 90421 | 44281 | 89662 | 45839 | 88875 | 47383 | 88062 | 48913 | 87221 | 43 |
18 | 42736 | 90408 | 44307 | 89649 | 45865 | 88862 | 47409 | 88048 | 48938 | 87207 | 42 |
19 | 42762 | 90396 | 44333 | 89636 | 45891 | 88848 | 47434 | 88034 | 48964 | 87193 | 41 |
20 | 42788 | 90383 | 44359 | 89623 | 45917 | 88835 | 47460 | 88020 | 48969 | 87178 | 40 |
21 | 42815 | 90371 | 44385 | 89610 | 45942 | 88822 | 47486 | 88006 | 49014 | 87164 | 39 |
22 | 42841 | 90358 | 44411 | 89597 | 45968 | 88808 | 47511 | 87993 | 49040 | 87150 | 38 |
23 | 42867 | 90346 | 44437 | 89584 | 45994 | 88795 | 47537 | 87979 | 49065 | 87136 | 37 |
24 | 42894 | 90334 | 44464 | 89571 | 46020 | 88782 | 47562 | 87965 | 49090 | 87121 | 36 |
25 | 42920 | 90321 | 44490 | 89558 | 46046 | 88768 | 47588 | 87951 | 49116 | 87107 | 35 |
26 | 42946 | 90309 | 44516 | 89545 | 46072 | 88755 | 47614 | 87937 | 49141 | 87093 | 34 |
27 | 42972 | 90296 | 44542 | 89532 | 46097 | 88741 | 47639 | 87923 | 49166 | 87079 | 33 |
28 | 42999 | 90284 | 44568 | 89519 | 46123 | 88728 | 47665 | 87909 | 49192 | 87064 | 32 |
29 | 43025 | 90271 | 44594 | 89506 | 46149 | 88715 | 47690 | 87896 | 49217 | 87050 | 31 |
30 | 43051 | 90259 | 44620 | 89493 | 46175 | 88701 | 47716 | 87882 | 49242 | 87036 | 30 |
31 | 43077 | 90246 | 44646 | 89480 | 46201 | 88688 | 47741 | 87868 | 49268 | 87021 | 29 |
32 | 43104 | 90233 | 44672 | 89467 | 46226 | 88674 | 47767 | 87854 | 49293 | 87007 | 28 |
33 | 43130 | 90221 | 44698 | 89454 | 46252 | 88661 | 47793 | 87840 | 49318 | 86993 | 27 |
34 | 43156 | 90208 | 44724 | 89441 | 46278 | 88647 | 47818 | 87826 | 49344 | 86978 | 26 |
35 | 43182 | 90196 | 44750 | 89428 | 46304 | 88634 | 47844 | 87812 | 49369 | 86964 | 25 |
36 | 43209 | 90183 | 44776 | 89415 | 46330 | 88620 | 47869 | 87798 | 49394 | 86949 | 24 |
37 | 43235 | 90171 | 44802 | 89402 | 46355 | 88607 | 47895 | 87784 | 49419 | 86935 | 23 |
38 | 43261 | 90158 | 44828 | 89389 | 46381 | 88593 | 47920 | 87770 | 49445 | 86921 | 22 |
39 | 43287 | 90146 | 44854 | 89376 | 46407 | 88580 | 47946 | 87756 | 49470 | 86906 | 21 |
40 | 43313 | 90133 | 44880 | 89363 | 46433 | 88566 | 47971 | 87743 | 49495 | 86892 | 20 |
41 | 43340 | 90120 | 44906 | 89350 | 46458 | 88553 | 47997 | 87729 | 49521 | 86878 | 19 |
42 | 43366 | 90108 | 44932 | 89337 | 46484 | 88539 | 48022 | 87715 | 49546 | 86863 | 18 |
43 | 43392 | 90095 | 44958 | 89324 | 46510 | 88526 | 48048 | 87701 | 49571 | 86849 | 17 |
44 | 43418 | 90082 | 44984 | 89311 | 46536 | 88512 | 48073 | 87687 | 49596 | 86834 | 16 |
45 | 43445 | 90070 | 45010 | 89298 | 46561 | 88499 | 48099 | 87673 | 49622 | 86820 | 15 |
46 | 43471 | 90057 | 45036 | 89285 | 46587 | 88485 | 48124 | 87659 | 49647 | 86805 | 14 |
47 | 43497 | 90045 | 45062 | 89272 | 46613 | 88472 | 48150 | 87645 | 49672 | 86791 | 13 |
48 | 43523 | 90032 | 45088 | 89259 | 46639 | 88458 | 48175 | 87631 | 49697 | 86777 | 12 |
49 | 43549 | 90019 | 45114 | 89245 | 46664 | 88445 | 48201 | 87617 | 49723 | 86762 | 11 |
50 | 43575 | 90007 | 45140 | 89232 | 46690 | 88431 | 48226 | 87603 | 49748 | 86748 | 10 |
51 | 43602 | 89994 | 45166 | 89219 | 46716 | 88417 | 48252 | 87589 | 49773 | 86733 | 9 |
52 | 43628 | 89981 | 45192 | 89206 | 46742 | 88404 | 48277 | 87575 | 49798 | 86719 | 8 |
53 | 43654 | 89968 | 45218 | 89193 | 46767 | 88390 | 48303 | 87561 | 49824 | 86704 | 7 |
54 | 43680 | 89956 | 45243 | 89180 | 46793 | 88377 | 48328 | 87546 | 49849 | 86690 | 6 |
55 | 43706 | 89943 | 45269 | 89167 | 46819 | 88363 | 48354 | 87532 | 49874 | 86675 | 5 |
56 | 43733 | 89930 | 45295 | 89153 | 46844 | 88349 | 48379 | 87518 | 49899 | 86661 | 4 |
57 | 43759 | 89918 | 45321 | 89140 | 46870 | 88336 | 48405 | 87504 | 49924 | 86646 | 3 |
58 | 43785 | 89905 | 45347 | 89127 | 46896 | 88322 | 48430 | 87490 | 49950 | 86632 | 2 |
59 | 43811 | 89892 | 45373 | 89114 | 46921 | 88308 | 48456 | 87476 | 49975 | 86617 | 1 |
60 | 43837 | 89879 | 45399 | 89101 | 46947 | 88295 | 48481 | 87462 | 50000 | 86603 | 0 |
N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | M | |
64° | 63° | 62° | 61° | 60° |
[page] 88
TABLE XVII. Natural Sines. | |||||||||||
30° | 31° | 32° | 33° | 34° | |||||||
M | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | |
0 | 50000 | 86603 | 51504 | 85717 | 52992 | 84805 | 54464 | 83867 | 55919 | 82904 | 60 |
1 | 50025 | 86588 | 51529 | 85702 | 53017 | 84789 | 54488 | 83851 | 55943 | 82887 | 59 |
2 | 50050 | 86573 | 51554 | 85687 | 53041 | 84774 | 54513 | 83835 | 55968 | 82871 | 58 |
3 | 50076 | 86559 | 51579 | 85672 | 53066 | 84759 | 54537 | 83819 | 55992 | 82855 | 57 |
4 | 50101 | 86544 | 51604 | 85657 | 53091 | 84743 | 54561 | 83804 | 56016 | 82839 | 56 |
5 | 50126 | 86530 | 51628 | 85642 | 53115 | 84728 | 54586 | 83788 | 56040 | 82822 | 55 |
6 | 50151 | 86515 | 51653 | 85627 | 53140 | 84712 | 54610 | 83772 | 56064 | 82806 | 54 |
7 | 50176 | 86501 | 51678 | 85612 | 53164 | 84697 | 54635 | 83756 | 56088 | 82790 | 53 |
8 | 50201 | 86486 | 51703 | 85597 | 53189 | 84681 | 54659 | 83740 | 56112 | 82773 | 52 |
9 | 50227 | 86471 | 51728 | 85582 | 53214 | 84666 | 54683 | 83724 | 56136 | 82757 | 51 |
10 | 50252 | 86457 | 51753 | 85567 | 53238 | 84650 | 54708 | 83708 | 56160 | 82741 | 50 |
11 | 50277 | 86442 | 51778 | 85551 | 53263 | 84635 | 54732 | 83692 | 56184 | 82724 | 49 |
12 | 50302 | 86427 | 51803 | 85536 | 53288 | 84619 | 54756 | 83676 | 56208 | 82708 | 48 |
13 | 50327 | 86413 | 51828 | 85521 | 53312 | 84604 | 54781 | 83660 | 56232 | 82692 | 47 |
14 | 50352 | 86398 | 51852 | 85506 | 53337 | 84588 | 54805 | 83645 | 56256 | 82675 | 46 |
15 | 50377 | 86384 | 51877 | 85491 | 53361 | 84573 | 54829 | 83629 | 56280 | 82659 | 45 |
16 | 50403 | 86369 | 51902 | 85476 | 53386 | 84557 | 54854 | 83613 | 56305 | 82643 | 44 |
17 | 50428 | 86354 | 51927 | 85461 | 53411 | 84542 | 54878 | 83597 | 56329 | 82626 | 43 |
18 | 50453 | 86340 | 51952 | 85446 | 53435 | 84526 | 54902 | 83581 | 56353 | 82610 | 42 |
19 | 50478 | 86325 | 51977 | 85431 | 53460 | 84511 | 54927 | 83565 | 56377 | 82593 | 41 |
20 | 50503 | 86310 | 52002 | 85416 | 53484 | 84495 | 54951 | 83549 | 56401 | 82577 | 40 |
21 | 50528 | 86295 | 52026 | 85401 | 53509 | 84480 | 54975 | 83533 | 56425 | 82561 | 39 |
22 | 50553 | 86281 | 52051 | 85385 | 53534 | 84464 | 54999 | 83517 | 56449 | 82544 | 38 |
23 | 50578 | 86266 | 52076 | 85370 | 53558 | 84448 | 55024 | 83501 | 56473 | 82528 | 37 |
24 | 50603 | 86251 | 52101 | 85355 | 53583 | 84433 | 55048 | 83485 | 56497 | 82511 | 36 |
25 | 50628 | 86237 | 52126 | 85340 | 53607 | 84417 | 55072 | 83469 | 56521 | 82495 | 35 |
26 | 50654 | 86222 | 52151 | 85325 | 53632 | 84402 | 55097 | 83453 | 56545 | 82478 | 34 |
27 | 50679 | 86207 | 52175 | 85310 | 53656 | 84386 | 55125 | 83437 | 56569 | 82462 | 33 |
28 | 50704 | 86192 | 52200 | 85294 | 53681 | 84370 | 55145 | 83421 | 56593 | 82446 | 32 |
29 | 50729 | 86178 | 52225 | 85279 | 53705 | 84355 | 55169 | 83405 | 56617 | 82429 | 31 |
30 | 50754 | 86163 | 52250 | 85264 | 53730 | 84339 | 55194 | 83389 | 56641 | 82413 | 30 |
31 | 50779 | 86148 | 52275 | 85249 | 53754 | 84324 | 55218 | 83373 | 56665 | 82396 | 29 |
32 | 50804 | 86133 | 52299 | 85234 | 53779 | 84308 | 55242 | 83356 | 56689 | 82380 | 28 |
33 | 50829 | 86119 | 52324 | 85218 | 53804 | 84292 | 55266 | 83340 | 56713 | 82363 | 27 |
34 | 50854 | 86104 | 52349 | 85203 | 53828 | 84277 | 55291 | 83324 | 56736 | 82347 | 26 |
35 | 50879 | 86089 | 52374 | 85188 | 53853 | 84261 | 55315 | 83308 | 56760 | 82330 | 25 |
36 | 50904 | 86074 | 52399 | 85173 | 53877 | 84245 | 55339 | 83292 | 56784 | 82314 | 24 |
37 | 50929 | 86059 | 52423 | 85157 | 53902 | 84230 | 55363 | 83276 | 56808 | 82297 | 23 |
38 | 50954 | 86045 | 52448 | 85142 | 53926 | 84214 | 55388 | 83260 | 56832 | 82281 | 22 |
39 | 50979 | 86030 | 52473 | 85127 | 53951 | 84198 | 55412 | 83244 | 56856 | 82264 | 21 |
40 | 51004 | 86015 | 52498 | 85112 | 53975 | 84182 | 55436 | 83228 | 56880 | 82248 | 20 |
41 | 51029 | 86000 | 52522 | 85096 | 54000 | 84167 | 55460 | 83212 | 56904 | 82231 | 19 |
42 | 51054 | 85985 | 52547 | 85081 | 54024 | 84151 | 55484 | 83195 | 56928 | 82214 | 18 |
43 | 51079 | 85970 | 52572 | 85066 | 54049 | 84135 | 55509 | 83179 | 56952 | 82198 | 17 |
44 | 51104 | 85956 | 52597 | 85051 | 54073 | 84120 | 55533 | 83163 | 56976 | 82181 | 16 |
45 | 51129 | 85941 | 52621 | 85035 | 54097 | 84104 | 55557 | 83147 | 57000 | 82165 | 15 |
46 | 51154 | 85926 | 52646 | 85020 | 54122 | 84088 | 55581 | 83131 | 57024 | 82148 | 14 |
47 | 51179 | 85911 | 52671 | 85005 | 54146 | 84072 | 55605 | 83115 | 57047 | 82132 | 13 |
48 | 51204 | 85896 | 52696 | 84989 | 54171 | 84057 | 55630 | 83098 | 57071 | 82115 | 12 |
49 | 51229 | 85881 | 52970 | 84974 | 54195 | 84041 | 55654 | 83082 | 57095 | 82082 | 11 |
50 | 51254 | 85866 | 52745 | 84959 | 54220 | 84025 | 55678 | 83066 | 57119 | 82065 | 10 |
51 | 51279 | 85851 | 52770 | 84943 | 54244 | 84009 | 55702 | 83050 | 57143 | 82065 | 9 |
52 | 51304 | 85836 | 52794 | 84928 | 54269 | 83994 | 55726 | 83034 | 57167 | 82048 | 8 |
53 | 51329 | 85821 | 52819 | 84913 | 54293 | 83978 | 55750 | 83017 | 57191 | 82032 | 7 |
54 | 51354 | 85806 | 52844 | 84897 | 54317 | 83962 | 55775 | 83001 | 57215 | 82015 | 6 |
55 | 51379 | 85792 | 52869 | 84882 | 54342 | 83946 | 55799 | 82985 | 57238 | 81999 | 5 |
56 | 51404 | 85777 | 52893 | 84866 | 54366 | 83930 | 55823 | 82969 | 57262 | 81982 | 4 |
57 | 51429 | 85762 | 52918 | 84851 | 54391 | 83915 | 55847 | 82953 | 57286 | 81965 | 3 |
58 | 51454 | 85747 | 52943 | 84836 | 54415 | 83899 | 55871 | 82936 | 57310 | 81949 | 2 |
59 | 51479 | 85732 | 52967 | 84820 | 54440 | 83883 | 55895 | 82920 | 57334 | 81932 | 1 |
60 | 51504 | 85717 | 52992 | 84805 | 54464 | 83867 | 55919 | 82904 | 57358 | 81915 | 0 |
N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | M | |
59° | 58° | 57° | 56° | 55° |
[page] 89
TABLE XVII. Natural Sines. | |||||||||||
35° | 36° | 37° | 38° | 39° | |||||||
M | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | |
0 | 57358 | 81915 | 58779 | 80902 | 60181 | 79864 | 61560 | 78801 | 62932 | 77715 | 60 |
1 | 57381 | 81899 | 58802 | 80885 | 60205 | 79846 | 61589 | 78783 | 62955 | 77696 | 59 |
2 | 57405 | 81882 | 58826 | 80887 | 60228 | 79829 | 61612 | 78765 | 62977 | 77678 | 58 |
3 | 57429 | 81865 | 58849 | 80850 | 60251 | 79811 | 61635 | 78747 | 63000 | 77660 | 57 |
4 | 57453 | 81848 | 58873 | 80833 | 60274 | 79793 | 61658 | 78729 | 63022 | 77641 | 56 |
5 | 57477 | 81832 | 58896 | 80816 | 60298 | 79776 | 61681 | 78711 | 63045 | 77623 | 55 |
6 | 57501 | 81815 | 58920 | 80799 | 60321 | 79758 | 61704 | 78693 | 63068 | 77605 | 54 |
7 | 57524 | 81798 | 58943 | 80782 | 60344 | 79741 | 61726 | 78676 | 63090 | 77586 | 53 |
8 | 57548 | 81781 | 58967 | 80765 | 60367 | 79723 | 61749 | 78658 | 63113 | 77568 | 52 |
9 | 57572 | 81765 | 58990 | 80748 | 60390 | 79706 | 61772 | 78640 | 63135 | 77550 | 51 |
10 | 57596 | 81748 | 59014 | 80730 | 60414 | 79688 | 61795 | 78622 | 63158 | 77531 | 50 |
11 | 57619 | 81713 | 59037 | 80713 | 60437 | 79671 | 61818 | 78604 | 63180 | 77513 | 49 |
12 | 57643 | 81714 | 59061 | 80696 | 60460 | 79653 | 61841 | 78586 | 63203 | 77494 | 48 |
13 | 57667 | 81698 | 59084 | 80679 | 60483 | 79635 | 61864 | 78568 | 63225 | 77476 | 47 |
14 | 57691 | 81681 | 59107 | 80662 | 60506 | 79618 | 61887 | 78550 | 63248 | 77458 | 46 |
15 | 57715 | 81664 | 59131 | 80644 | 60529 | 79600 | 61909 | 78532 | 63271 | 77439 | 45 |
16 | 57738 | 81647 | 59154 | 80627 | 60553 | 79583 | 61932 | 78514 | 63293 | 77421 | 44 |
17 | 57762 | 81631 | 59178 | 80610 | 60576 | 79565 | 61955 | 78496 | 63316 | 77402 | 43 |
18 | 57786 | 81614 | 59201 | 80593 | 60599 | 79547 | 61978 | 78478 | 63338 | 77384 | 42 |
19 | 57809 | 81597 | 59225 | 80576 | 60622 | 79530 | 62001 | 78460 | 63361 | 77366 | 41 |
20 | 57833 | 81580 | 59248 | 80558 | 60645 | 79512 | 62024 | 78442 | 63383 | 77347 | 40 |
21 | 57857 | 81563 | 59272 | 80541 | 60668 | 79494 | 62046 | 78424 | 63406 | 77329 | 39 |
22 | 57881 | 81546 | 59295 | 80524 | 60691 | 79477 | 62069 | 78405 | 63428 | 77310 | 38 |
23 | 57904 | 81530 | 59318 | 80507 | 60714 | 79459 | 62092 | 78387 | 63451 | 77292 | 37 |
24 | 57928 | 81513 | 59342 | 80489 | 60738 | 79441 | 62115 | 78369 | 63473 | 77273 | 36 |
25 | 57952 | 81496 | 59365 | 80472 | 60761 | 79424 | 62138 | 78351 | 63496 | 82495 | 35 |
26 | 57976 | 81479 | 59389 | 80455 | 60784 | 79406 | 62160 | 78333 | 63518 | 77236 | 34 |
27 | 57999 | 81462 | 59412 | 80438 | 60807 | 79388 | 62183 | 78315 | 63540 | 77218 | 33 |
28 | 58023 | 81445 | 59435 | 80420 | 60830 | 79371 | 62206 | 78297 | 63563 | 77199 | 32 |
29 | 58047 | 81428 | 59459 | 80403 | 60853 | 79353 | 62229 | 78279 | 63585 | 77181 | 31 |
30 | 58070 | 81412 | 59482 | 80386 | 60876 | 79335 | 62251 | 78261 | 63608 | 77162 | 30 |
31 | 58094 | 81395 | 59506 | 80368 | 60899 | 79318 | 62274 | 78243 | 63630 | 77144 | 29 |
32 | 58118 | 81378 | 59529 | 80351 | 60922 | 79300 | 62297 | 78225 | 63653 | 77125 | 28 |
33 | 58141 | 81361 | 59552 | 80334 | 60945 | 79282 | 62320 | 78206 | 63675 | 77107 | 27 |
34 | 58165 | 81344 | 59576 | 80316 | 60968 | 79264 | 62342 | 78188 | 63698 | 77088 | 26 |
35 | 58189 | 81327 | 59599 | 80299 | 60991 | 79247 | 62365 | 78170 | 63720 | 77070 | 25 |
36 | 58212 | 81310 | 59622 | 80282 | 61015 | 79229 | 62388 | 78152 | 63742 | 77051 | 24 |
37 | 58236 | 81293 | 59646 | 80264 | 61038 | 79211 | 62411 | 78134 | 63765 | 77033 | 23 |
38 | 58260 | 81276 | 59669 | 80247 | 61061 | 79193 | 62433 | 78116 | 63787 | 77014 | 22 |
39 | 58283 | 81259 | 59693 | 80230 | 61084 | 79176 | 62456 | 78098 | 63810 | 76996 | 21 |
40 | 58307 | 81242 | 59716 | 80212 | 61107 | 79158 | 62479 | 78079 | 63832 | 76977 | 20 |
41 | 58330 | 81225 | 59739 | 80195 | 61130 | 79140 | 62502 | 78061 | 63854 | 76959 | 19 |
42 | 58354 | 81208 | 59763 | 80178 | 61153 | 79122 | 62524 | 78043 | 63877 | 76940 | 18 |
43 | 58378 | 81191 | 59786 | 80160 | 61176 | 79105 | 62547 | 78025 | 63899 | 76921 | 17 |
44 | 58401 | 81174 | 59809 | 80143 | 61199 | 79087 | 62570 | 78007 | 63922 | 76903 | 16 |
45 | 58425 | 81157 | 59832 | 80125 | 61222 | 79069 | 62592 | 77988 | 63944 | 76884 | 15 |
46 | 58449 | 81140 | 59856 | 80108 | 61245 | 79051 | 62615 | 77970 | 63966 | 76866 | 14 |
47 | 58472 | 81123 | 59879 | 80091 | 61268 | 79033 | 62638 | 77952 | 63989 | 76847 | 13 |
48 | 58496 | 81106 | 59902 | 80073 | 61291 | 79015 | 62660 | 77934 | 64011 | 76828 | 12 |
49 | 58519 | 81089 | 59926 | 80056 | 61314 | 78998 | 62683 | 77916 | 64033 | 76810 | 11 |
50 | 58543 | 81072 | 59949 | 80038 | 61337 | 78980 | 62706 | 77897 | 64056 | 76791 | 10 |
51 | 58567 | 81055 | 59972 | 80021 | 61360 | 78962 | 62728 | 77879 | 64078 | 76772 | 9 |
52 | 58590 | 81038 | 59995 | 80003 | 61383 | 78944 | 62751 | 77861 | 64100 | 76754 | 8 |
53 | 58614 | 81021 | 60019 | 79986 | 61406 | 78926 | 62774 | 77843 | 64123 | 76735 | 7 |
54 | 58637 | 81004 | 60042 | 79968 | 61429 | 78908 | 62796 | 77824 | 64145 | 76717 | 6 |
55 | 58661 | 80987 | 60065 | 79951 | 61451 | 78891 | 62819 | 77806 | 64167 | 76698 | 5 |
56 | 58684 | 80970 | 60089 | 79934 | 61474 | 78873 | 62842 | 77788 | 64190 | 76679 | 4 |
57 | 58708 | 80953 | 60112 | 79916 | 61497 | 78855 | 62864 | 77769 | 64212 | 76661 | 3 |
58 | 58731 | 80936 | 60135 | 79899 | 61520 | 78837 | 62887 | 77751 | 64234 | 76642 | 2 |
59 | 58755 | 80919 | 60158 | 79881 | 61543 | 78819 | 62909 | 77733 | 64256 | 76623 | 1 |
60 | 58779 | 80902 | 60181 | 79864 | 61566 | 78801 | 62932 | 77715 | 64279 | 76604 | 0 |
M | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | N. cof. | N.fine. | M |
54° | 53° | 52° | 51° | 50° |
[page] 90
TABLE XVII. Natural Sines. | |||||||||||
40° | 41° | 42° | 43° | 44° | |||||||
M | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | M |
0 | 64279 | 76604 | 65606 | 75471 | 66913 | 74314 | 68200 | 73135 | 69466 | 71934 | 60 |
1 | 64301 | 76586 | 65628 | 75452 | 66935 | 74295 | 68221 | 73116 | 69487 | 71914 | 59 |
2 | 64323 | 76567 | 65650 | 75433 | 66956 | 74276 | 68242 | 73096 | 69508 | 71894 | 58 |
3 | 64346 | 76548 | 65672 | 75414 | 66978 | 74256 | 68264 | 73076 | 69529 | 71873 | 57 |
4 | 64368 | 76530 | 65694 | 75395 | 66999 | 74237 | 68285 | 73056 | 69549 | 71853 | 56 |
5 | 64390 | 76511 | 65716 | 75375 | 67021 | 74217 | 68306 | 73036 | 69570 | 71833 | 55 |
6 | 64412 | 76492 | 65738 | 75356 | 67043 | 74198 | 68327 | 73016 | 69591 | 71813 | 54 |
7 | 64435 | 76473 | 65759 | 75337 | 67064 | 74178 | 68349 | 72996 | 69612 | 71792 | 53 |
8 | 64457 | 76455 | 65781 | 75318 | 67086 | 74159 | 68370 | 72976 | 69633 | 71772 | 52 |
9 | 64479 | 76436 | 65803 | 75299 | 67107 | 74139 | 68391 | 72957 | 69654 | 71752 | 51 |
10 | 64501 | 76417 | 65825 | 75280 | 67129 | 74120 | 68412 | 72937 | 69675 | 71732 | 50 |
11 | 64524 | 76398 | 65847 | 75261 | 67151 | 74100 | 68433 | 72917 | 69696 | 71711 | 49 |
12 | 64546 | 76380 | 65869 | 75241 | 67172 | 74080 | 68455 | 72897 | 69717 | 71691 | 48 |
13 | 64568 | 76361 | 65891 | 75222 | 67194 | 74061 | 68476 | 72877 | 69737 | 71671 | 47 |
14 | 64590 | 76342 | 65913 | 75203 | 67215 | 74041 | 68497 | 72857 | 69758 | 71650 | 46 |
15 | 64612 | 76323 | 65935 | 75184 | 67237 | 74022 | 68518 | 72837 | 69779 | 71630 | 45 |
16 | 64635 | 76304 | 65956 | 75165 | 67258 | 74002 | 68539 | 72817 | 69800 | 71610 | 44 |
17 | 64657 | 76286 | 65978 | 75146 | 67280 | 73983 | 68561 | 72797 | 69821 | 71590 | 43 |
18 | 64679 | 76267 | 66000 | 75126 | 67301 | 73963 | 68582 | 72777 | 69842 | 71569 | 42 |
19 | 64701 | 76248 | 66022 | 75107 | 67323 | 73944 | 68603 | 72757 | 69862 | 71549 | 41 |
20 | 64723 | 76229 | 66044 | 75088 | 67344 | 73924 | 68624 | 72737 | 69883 | 71529 | 40 |
21 | 64746 | 76210 | 66066 | 75069 | 67366 | 73904 | 68645 | 72717 | 69904 | 71508 | 39 |
22 | 64768 | 76192 | 66088 | 75050 | 67387 | 73885 | 68666 | 72697 | 69925 | 71488 | 38 |
23 | 64790 | 76173 | 66109 | 75030 | 67409 | 73865 | 68688 | 72677 | 69946 | 71468 | 37 |
24 | 64812 | 76154 | 66131 | 75011 | 67430 | 73846 | 68709 | 72657 | 69966 | 71447 | 36 |
25 | 64834 | 76135 | 66153 | 74992 | 67452 | 73826 | 68730 | 72637 | 69987 | 71427 | 35 |
26 | 64856 | 76116 | 66175 | 74973 | 67473 | 73806 | 68751 | 72617 | 70008 | 71407 | 34 |
27 | 64878 | 76097 | 66197 | 74953 | 67495 | 73787 | 68772 | 72597 | 70029 | 71386 | 33 |
28 | 64901 | 76078 | 66218 | 74934 | 67516 | 73767 | 68793 | 72577 | 70049 | 71366 | 32 |
29 | 64923 | 76059 | 66240 | 74915 | 67538 | 73747 | 68814 | 72557 | 70070 | 71345 | 31 |
30 | 64945 | 76041 | 66262 | 74896 | 67559 | 73728 | 68835 | 72537 | 70091 | 71325 | 30 |
31 | 64967 | 76022 | 66284 | 74876 | 67580 | 73708 | 68857 | 72517 | 70112 | 71305 | 29 |
32 | 64989 | 76003 | 66306 | 74857 | 67602 | 73688 | 68878 | 72497 | 70132 | 71284 | 28 |
33 | 65011 | 75984 | 66327 | 74838 | 67623 | 73669 | 68899 | 72477 | 70153 | 71264 | 27 |
34 | 65033 | 75965 | 66349 | 74818 | 67645 | 73649 | 68920 | 72457 | 70174 | 71243 | 26 |
35 | 65055 | 75946 | 66371 | 74799 | 67666 | 73629 | 68941 | 72437 | 70195 | 71223 | 25 |
36 | 65077 | 75927 | 66393 | 74780 | 67688 | 73610 | 68962 | 72417 | 70215 | 71203 | 24 |
37 | 65099 | 75908 | 66414 | 74760 | 67709 | 73590 | 68983 | 72397 | 70236 | 71182 | 23 |
38 | 65122 | 75889 | 66436 | 74741 | 67730 | 73570 | 69004 | 72377 | 70257 | 71162 | 22 |
39 | 65144 | 75870 | 66458 | 74722 | 67752 | 73551 | 69025 | 72357 | 70277 | 71141 | 21 |
40 | 65166 | 75851 | 66480 | 74703 | 67773 | 73531 | 69046 | 72337 | 70298 | 71121 | 20 |
41 | 65188 | 75832 | 66501 | 74683 | 67795 | 73511 | 69067 | 72317 | 70319 | 71100 | 19 |
42 | 65210 | 75813 | 66523 | 74664 | 67816 | 73491 | 69088 | 72297 | 70339 | 71080 | 18 |
43 | 65232 | 75794 | 66545 | 74644 | 67837 | 73472 | 69109 | 72277 | 70360 | 71059 | 17 |
44 | 65254 | 75775 | 66566 | 74625 | 67859 | 73452 | 69130 | 72257 | 70381 | 71039 | 16 |
45 | 65276 | 75756 | 66588 | 74606 | 67880 | 73432 | 69151 | 72236 | 70401 | 71019 | 15 |
46 | 65298 | 75738 | 66610 | 74586 | 67901 | 73412 | 69172 | 72216 | 70422 | 70998 | 14 |
47 | 65320 | 75719 | 66632 | 74567 | 67923 | 73393 | 69193 | 72196 | 70443 | 70978 | 13 |
48 | 65342 | 75699 | 66653 | 74548 | 67944 | 73373 | 69214 | 72176 | 70463 | 70957 | 12 |
49 | 65364 | 75680 | 66675 | 74528 | 67965 | 73353 | 69235 | 72156 | 70484 | 70937 | 11 |
50 | 65386 | 75661 | 66697 | 74509 | 67987 | 73333 | 69256 | 72136 | 70505 | 70916 | 10 |
51 | 65408 | 75642 | 66718 | 74489 | 68008 | 73314 | 69277 | 72116 | 70525 | 70896 | 9 |
52 | 65430 | 75623 | 66740 | 74470 | 68029 | 73294 | 69298 | 72095 | 70546 | 70875 | 8 |
53 | 65452 | 75604 | 66762 | 74451 | 68051 | 73274 | 69319 | 72075 | 70567 | 70855 | 7 |
54 | 65474 | 75585 | 66783 | 74431 | 68072 | 73254 | 69340 | 72055 | 70587 | 70834 | 6 |
55 | 65496 | 75566 | 66805 | 74412 | 68093 | 73234 | 69361 | 72035 | 70608 | 70813 | 5 |
56 | 65518 | 75547 | 66827 | 74392 | 68115 | 73215 | 69382 | 72015 | 70628 | 70793 | 4 |
57 | 65540 | 75528 | 66848 | 74373 | 68136 | 73195 | 69403 | 71995 | 70649 | 70772 | 3 |
58 | 65562 | 75509 | 66870 | 74353 | 68157 | 73175 | 69424 | 71974 | 70670 | 70752 | 2 |
59 | 65584 | 75490 | 66891 | 74334 | 68179 | 73155 | 69445 | 71954 | 70690 | 70731 | 1 |
60 | 65606 | 75471 | 66913 | 74314 | 68200 | 73135 | 69466 | 71934 | 70711 | 70711 | 0 |
M | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | N. cof. | N. fine. | M |
49° | 48° | 47° | 46° | 45° |
[page] 91
THE
LOGARITHMS OF NUMBERS
FROM
TABLE XVIII. Logarithms of Numbers. | |||||||||
N° 1—100. | Log. 1,00000—200000. | ||||||||
N. | Log. | N. | Log. | N. | Log. | N. | Log. | N. | Log. |
1 | 0,00000 | 21 | 1,32222 | 41 | 1,61278 | 61 | 1,78533 | 81 | 1,90849 |
2 | 0,30103 | 22 | 1,34242 | 42 | 1,62325 | 62 | 1,79239 | 82 | 1,91381 |
3 | 0,47712 | 23 | 1,36173 | 43 | 1,63347 | 63 | 1,79934 | 83 | 1,91908 |
4 | 0,60206 | 24 | 1,38021 | 44 | 1,64345 | 64 | 1,80618 | 84 | 1,92428 |
5 | 0,69897 | 25 | 1,39794 | 45 | 1,65321 | 65 | 1,81291 | 85 | 1,92942 |
6 | 0,77815 | 26 | 1,41497 | 46 | 1,66276 | 66 | 1,81954 | 86 | 1,93450 |
7 | 0,84510 | 27 | 1,43136 | 47 | 1,67210 | 67 | 1,82607 | 87 | 1,93952 |
8 | 0,90309 | 28 | 1,44716 | 48 | 1,68124 | 68 | 1,83251 | 88 | 1,94448 |
9 | 0,95424 | 29 | 1,46240 | 49 | 1,69020 | 69 | 1,83885 | 89 | 1,94939 |
10 | 1,00000 | 30 | 1,47712 | 50 | 1,69897 | 70 | 1,84510 | 90 | 1,95424 |
11 | 1,04139 | 31 | 1,49136 | 51 | 1,70757 | 71 | 1,85126 | 91 | 1,95904 |
12 | 1,07918 | 32 | 1,50515 | 52 | 1,71600 | 72 | 1,85733 | 92 | 1,96379 |
13 | 1,11394 | 33 | 1,51851 | 53 | 1,72428 | 73 | 1,86332 | 93 | 1,96848 |
14 | 1,14613 | 34 | 1,53148 | 54 | 1,73239 | 74 | 1,86923 | 94 | 1,97313 |
15 | 1,17609 | 35 | 1,54407 | 55 | 1,74036 | 75 | 1,87506 | 95 | 1,97772 |
16 | 1,20412 | 36 | 1,55630 | 56 | 1,74819 | 76 | 1,88081 | 96 | 1,98227 |
17 | 1,23045 | 37 | 1,56820 | 57 | 1,75587 | 77 | 1,88649 | 97 | 1,98677 |
18 | 1,25527 | 38 | 1,57978 | 58 | 1,76343 | 78 | 1,89209 | 98 | 1,99123 |
19 | 1,27875 | 39 | 1,59106 | 59 | 1,77085 | 79 | 1,89763 | 99 | 1,99564 |
20 | 1,30103 | 40 | 1,60206 | 60 | 1,77815 | 80 | 1,90309 | 100 | 2,00000 |
M 2
[page] 92
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 100—1600. | Log. 00000—20412. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
100 | 00000 | 00043 | 00087 | 00130 | 00173 | 00217 | 00260 | 00303 | 00346 | 00389 |
101 | 00432 | 00475 | 00518 | 00561 | 00604 | 00647 | 00689 | 00732 | 00775 | 00817 |
102 | 00860 | 00903 | 00945 | 00988 | 01030 | 01072 | 01115 | 01157 | 01199 | 01242 |
103 | 01284 | 01326 | 01368 | 01410 | 01452 | 01494 | 01536 | 01578 | 01620 | 01662 |
104 | 01703 | 01745 | 01787 | 01828 | 01870 | 01912 | 01953 | 01995 | 02036 | 02078 |
105 | 02119 | 02160 | 02202 | 02243 | 02284 | 02325 | 02366 | 02407 | 02449 | 02490 |
106 | 02531 | 02572 | 02612 | 02653 | 02694 | 02735 | 02776 | 02816 | 02857 | 02898 |
107 | 02938 | 02979 | 03019 | 03060 | 03100 | 03141 | 03181 | 03222 | 03262 | 03302 |
108 | 03342 | 03383 | 03423 | 03423 | 03503 | 03543 | 03583 | 03623 | 03663 | 03703 |
109 | 03743 | 03782 | 03822 | 03862 | 03902 | 03941 | 03981 | 04021 | 04060 | 04100 |
110 | 04139 | 04179 | 04218 | 04258 | 04297 | 04336 | 04376 | 04415 | 04454 | 04493 |
111 | 04532 | 04571 | 04610 | 04650 | 04689 | 04727 | 04766 | 04805 | 04844 | 04883 |
112 | 04922 | 04961 | 04999 | 05038 | 05077 | 05115 | 05154 | 05192 | 05231 | 05269 |
113 | 05308 | 05346 | 05385 | 05423 | 05461 | 05500 | 05538 | 05576 | 05614 | 05652 |
114 | 05690 | 05729 | 05767 | 05805 | 05843 | 05881 | 05918 | 05859 | 05994 | 06032 |
115 | 06070 | 06108 | 06145 | 06183 | 06221 | 06258 | 06296 | 06333 | 06371 | 06408 |
116 | 06446 | 06483 | 06521 | 06558 | 06595 | 06633 | 06670 | 06707 | 06744 | 06781 |
117 | 06819 | 06856 | 06893 | 06930 | 06967 | 07004 | 07041 | 07078 | 07115 | 07151 |
118 | 07188 | 07225 | 07262 | 07298 | 07335 | 07372 | 07408 | 07445 | 07482 | 07518 |
119 | 07555 | 07591 | 07628 | 07664 | 07700 | 07737 | 07773 | 07809 | 07846 | 07882 |
120 | 07918 | 07954 | 07990 | 08027 | 08063 | 08099 | 08135 | 08171 | 08207 | 08243 |
121 | 08279 | 08314 | 08350 | 08386 | 08422 | 08458 | 08493 | 08529 | 08565 | 08600 |
122 | 08636 | 08672 | 08707 | 08743 | 08778 | 08814 | 08849 | 08884 | 08920 | 08955 |
123 | 08991 | 09026 | 09061 | 09096 | 09132 | 09167 | 09202 | 09237 | 09272 | 09307 |
124 | 09342 | 09377 | 09412 | 09447 | 09482 | 09517 | 09552 | 09587 | 09621 | 09656 |
125 | 09691 | 09726 | 09760 | 09795 | 09830 | 09864 | 09899 | 09934 | 09968 | 10003 |
126 | 10037 | 10072 | 10106 | 10140 | 10175 | 10209 | 10243 | 10278 | 10312 | 10346 |
127 | 10380 | 10415 | 10449 | 10483 | 10517 | 10551 | 10585 | 10619 | 10653 | 10687 |
128 | 10721 | 10755 | 10789 | 10823 | 10857 | 10890 | 10924 | 10958 | 10992 | 11025 |
129 | 11059 | 11093 | 11126 | 11160 | 11193 | 11227 | 11261 | 11294 | 11327 | 11361 |
130 | 11394 | 11428 | 11461 | 11494 | 11528 | 11561 | 11594 | 11628 | 11661 | 11694 |
131 | 11727 | 11760 | 11793 | 11826 | 11860 | 11893 | 11926 | 11959 | 11992 | 12024 |
132 | 12057 | 12090 | 12123 | 12156 | 12189 | 12222 | 12254 | 12287 | 12320 | 12352 |
133 | 12385 | 12418 | 12450 | 12483 | 12516 | 12548 | 12581 | 12613 | 12646 | 12678 |
134 | 12710 | 12743 | 12775 | 12808 | 12840 | 12872 | 12905 | 12937 | 12969 | 13001 |
135 | 13033 | 13066 | 13098 | 13130 | 13162 | 13194 | 13226 | 13258 | 13290 | 13322 |
136 | 13354 | 13386 | 13418 | 13450 | 13481 | 13513 | 13545 | 13577 | 13609 | 13640 |
137 | 13672 | 13704 | 13735 | 13767 | 13799 | 13830 | 13862 | 13893 | 13925 | 13956 |
138 | 13988 | 14019 | 14051 | 14082 | 14114 | 14145 | 14176 | 14208 | 14239 | 14270 |
139 | 14301 | 14333 | 14364 | 14395 | 14426 | 14457 | 14489 | 14520 | 14551 | 14582 |
140 | 14613 | 14644 | 14675 | 14706 | 14737 | 14768 | 14799 | 14829 | 14860 | 14891 |
141 | 14922 | 14953 | 14983 | 15014 | 15045 | 15076 | 15106 | 15137 | 15168 | 15198 |
142 | 15229 | 15259 | 15290 | 15320 | 15351 | 15381 | 15412 | 15442 | 15473 | 15503 |
143 | 15534 | 15564 | 15594 | 15625 | 15655 | 15685 | 15715 | 15746 | 15776 | 15806 |
144 | 15836 | 15866 | 15897 | 15927 | 15957 | 15987 | 16017 | 16047 | 16077 | 16107 |
145 | 16137 | 16167 | 16197 | 16227 | 16256 | 16286 | 16316 | 16346 | 16376 | 16406 |
146 | 16435 | 16465 | 16495 | 16524 | 16554 | 16584 | 16613 | 16643 | 16673 | 16702 |
147 | 16732 | 16761 | 16791 | 16820 | 16850 | 16879 | 16909 | 16938 | 16967 | 16997 |
148 | 17026 | 17056 | 17085 | 17114 | 17143 | 17173 | 17202 | 17231 | 17260 | 17289 |
149 | 17319 | 17348 | 17377 | 17406 | 17435 | 17464 | 17493 | 17522 | 17551 | 17580 |
150 | 17609 | 17638 | 17667 | 17696 | 17725 | 17754 | 17782 | 17811 | 17840 | 17869 |
151 | 17898 | 17926 | 17955 | 17984 | 18013 | 18041 | 18070 | 18099 | 18127 | 18156 |
152 | 18184 | 18213 | 18241 | 18270 | 18298 | 18327 | 18355 | 18384 | 18412 | 18441 |
153 | 18469 | 18498 | 18526 | 18554 | 18583 | 18611 | 18639 | 18667 | 18696 | 18724 |
154 | 18752 | 18780 | 18808 | 18837 | 18865 | 18893 | 18921 | 18949 | 18977 | 19005 |
155 | 19033 | 19061 | 19089 | 19117 | 19145 | 19173 | 19201 | 19229 | 19257 | 19285 |
156 | 19312 | 19340 | 19368 | 19396 | 19424 | 19451 | 19479 | 19507 | 19535 | 19562 |
157 | 19590 | 19618 | 19645 | 19673 | 19700 | 19728 | 19756 | 19783 | 19811 | 19838 |
158 | 19866 | 19893 | 19921 | 19948 | 19976 | 20003 | 20030 | 20058 | 20085 | 20112 |
159 | 20140 | 20167 | 20194 | 20222 | 20249 | 20276 | 20303 | 20330 | 20358 | 20385 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 93
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 1600—2200. | Log. 20412—34242. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
l60 | 20412 | 20439 | 20466 | 26493 | 20520 | 20548 | 20575 | 20602 | 20629 | 20656 |
161 | 20683 | 20710 | 20737 | 20763 | 20790 | 20817 | 20844 | 20871 | 20898 | 20925 |
162 | 20951 | 20978 | 21005 | 21032 | 21059 | 21085 | 21112 | 21139 | 21165 | 21192 |
163 | 21219 | 21245 | 21272 | 21299 | 21325 | 21352 | 21378 | 21405 | 21431 | 21458 |
164 | 21484 | 21511 | 21537 | 21564 | 21590 | 21617 | 21643 | 21669 | 21696 | 21722 |
165 | 21748 | 21775 | 21801 | 21827 | 21854 | 21880 | 21906 | 21932 | 21958 | 21985 |
166 | 22011 | 22037 | 22063 | 22089 | 22115 | 22141 | 22167 | 22194 | 22220 | 22246 |
167 | 22272 | 22298 | 22324 | 22350 | 22376 | 22401 | 22427 | 22453 | 22479 | 22505 |
168 | 22531 | 22557 | 22583 | 22608 | 22634 | 22660 | 22686 | 22712 | 22737 | 22763 |
169 | 22789 | 22814 | 22840 | 22866 | 22891 | 22917 | 22943 | 22968 | 22994 | 23019 |
170 | 23045 | 23070 | 23096 | 23121 | 23147 | 23172 | 23198 | 23223 | 23249 | 23274 |
171 | 23300 | 23325 | 23350 | 23376 | 23401 | 23426 | 23452 | 23477 | 23502 | 23528 |
172 | 23553 | 23578 | 23603 | 23629 | 23654 | 23679 | 23704 | 23729 | 23754 | 23779 |
173 | 23805 | 23830 | 23855 | 23180 | 23905 | 23930 | 23955 | 23980 | 24005 | 24030 |
174 | 24055 | 24080 | 24105 | 24130 | 24155 | 24180 | 24204 | 24229 | 24254 | 24279 |
175 | 24304 | 24329 | 24353 | 24378 | 24403 | 24428 | 24452 | 24477 | 24502 | 24527 |
176 | 24551 | 24576 | 24601 | 24625 | 24650 | 24674 | 24699 | 24724 | 24748 | 24773 |
177 | 24797 | 24822 | 24846 | 24871 | 24895 | 24920 | 24944 | 24969 | 24993 | 25018 |
178 | 25042 | 25066 | 25091 | 25115 | 25139 | 25164 | 25188 | 25212 | 25237 | 25261 |
179 | 25285 | 25310 | 25334 | 25358 | 25382 | 25406 | 25431 | 25455 | 25479 | 25503 |
180 | 25527 | 25551 | 25575 | 25600 | 25624 | 25648 | 25672 | 25696 | 25720 | 25744 |
181 | 25768 | 25792 | 25816 | 25840 | 25864 | 25888 | 25912 | 25935 | 25959 | 25983 |
182 | 26007 | 26031 | 26055 | 26079 | 26102 | 26126 | 26150 | 26174 | 26198 | 26221 |
183 | 26245 | 26269 | 26293 | 26316 | 26340 | 26364 | 26387 | 26411 | 26435 | 26458 |
184 | 26482 | 26505 | 26529 | 26553 | 26576 | 26600 | 26623 | 26647 | 26670 | 26694 |
185 | 26717 | 26741 | 26764 | 26788 | 26811 | 26834 | 26858 | 26881 | 26905 | 26928 |
186 | 26951 | 26975 | 26998 | 27021 | 27045 | 27068 | 27091 | 27114 | 27138 | 27161 |
187 | 27184 | 27207 | 27231 | 27254 | 27277 | 27300 | 27323 | 27346 | 27370 | 27393 |
188 | 27416 | 27439 | 27462 | 27485 | 27508 | 27531 | 27554 | 27577 | 27600 | 27623 |
189 | 27646 | 27669 | 27692 | 27715 | 27738 | 27761 | 27784 | 27807 | 27830 | 27852 |
190 | 27875 | 27898 | 27921 | 27944 | 27967 | 27989 | 28012 | 28035 | 28058 | 28081 |
191 | 28103 | 28126 | 28149 | 28171 | 28194 | 28217 | 28240 | 28262 | 28285 | 28307 |
192 | 28330 | 28353 | 28375 | 28398 | 28421 | 28443 | 28466 | 28458 | 28511 | 28533 |
193 | 28556 | 28578 | 28601 | 28623 | 28646 | 28668 | 28691 | 28713 | 28735 | 28758 |
194 | 28780 | 28803 | 28825 | 28847 | 28870 | 28892 | 28914 | 28937 | 28959 | 28981 |
195 | 29003 | 29026 | 29048 | 29070 | 29092 | 29115 | 29137 | 29159 | 29181 | 29203 |
196 | 29226 | 29248 | 29270 | 29292 | 29314 | 29336 | 29358 | 29380 | 29403 | 29425 |
197 | 29447 | 29469 | 29491 | 29513 | 29535 | 29557 | 29579 | 29601 | 29623 | 29645 |
198 | 29667 | 29688 | 29710 | 29732 | 29754 | 29776 | 29798 | 29820 | 29842 | 29863 |
199 | 29885 | 29907 | 29929 | 29951 | 29973 | 29994 | 30016 | 30038 | 30060 | 30081 |
200 | 30103 | 30125 | 30146 | 30168 | 30190 | 30211 | 30233 | 30255 | 30276 | 30298 |
201 | 30320 | 30341 | 30363 | 30384 | 30406 | 30428 | 30449 | 30471 | 30492 | 30514 |
202 | 30535 | 30557 | 30578 | 30600 | 30621 | 30643 | 30664 | 30685 | 30707 | 30728 |
203 | 30750 | 30771 | 30792 | 30814 | 30835 | 30856 | 30878 | 30899 | 30920 | 30942 |
204 | 30963 | 30984 | 31006 | 31027 | 31048 | 31069 | 31091 | 31112 | 31133 | 31154 |
205 | 31175 | 31197 | 31218 | 31239 | 31260 | 31281 | 31302 | 31323 | 31345 | 31366 |
206 | 31387 | 31408 | 31429 | 31450 | 31471 | 31492 | 31513 | 31534 | 31555 | 31576 |
207 | 31597 | 31618 | 31629 | 31660 | 31681 | 31702 | 31723 | 31744 | 31765 | 31785 |
208 | 31806 | 31827 | 31848 | 31869 | 31890 | 31911 | 31931 | 31954 | 31973 | 31994 |
209 | 32015 | 32035 | 22056 | 32077 | 32098 | 32118 | 32139 | 32160 | 32181 | 32201 |
210 | 32222 | 32243 | 32263 | 32284 | 32305 | 32325 | 32346 | 32366 | 32387 | 32408 |
211 | 32428 | 32449 | 32469 | 32490 | 32510 | 32531 | 32552 | 32572 | 32593 | 32613 |
212 | 32634 | 32654 | 32675 | 32695 | 32715 | 32736 | 32756 | 32777 | 32797 | 32818 |
213 | 32838 | 32858 | 32879 | 32899 | 32919 | 32940 | 32960 | 32980 | 33001 | 33021 |
214 | 33041 | 33062 | 33082 | 33102 | 33122 | 33143 | 33163 | 33183 | 33203 | 33224 |
215 | 33244 | 33264 | 33284 | 33304 | 33325 | 33345 | 33565 | 33385 | 33405 | 33425 |
216 | 33445 | 33465 | 33486 | 33506 | 33526 | 33546 | 33566 | 33586 | 33606 | 33626 |
217 | 33646 | 33666 | 33686 | 33706 | 33726 | 33746 | 33766 | 33786 | 33806 | 33826 |
218 | 33846 | 33866 | 33885 | 33905 | 33925 | 33945 | 33965 | 33985 | 34005 | 34025 |
219 | 34044 | 34064 | 34084 | 34104 | 34124 | 34143 | 34163 | 34183 | 34203 | 34223 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 94
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 2200—2800. | Log. 34242—44716. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
220 | 34242 | 34262 | 34282 | 34301 | 34321 | 34341 | 34361 | 34380 | 34400 | 34420 |
221 | 34439 | 34459 | 34479 | 34498 | 34518 | 34537 | 34557 | 34577 | 34596 | 34616 |
222 | 34635 | 34655 | 34674 | 34694 | 34713 | 34733 | 34753 | 34772 | 34792 | 34811 |
223 | 34830 | 34850 | 34869 | 34889 | 34908 | 34928 | 34947 | 34967 | 34986 | 35005 |
224 | 35025 | 35044 | 35064 | 35083 | 35102 | 33122 | 35141 | 35160 | 35180 | 35199 |
225 | 35218 | 35238 | 35257 | 35176 | 35295 | 35315 | 35334 | 35353 | 35372 | 35392 |
226 | 35411 | 35430 | 35449 | 35468 | 35488 | 35507 | 35526 | 35545 | 35564 | 35583 |
227 | 35603 | 35622 | 35641 | 35660 | 35679 | 35698 | 35717 | 35736 | 35755 | 35774 |
228 | 35793 | 35813 | 35832 | 35851 | 35870 | 35889 | 35908 | 35927 | 35946 | 35965 |
229 | 35984 | 36003 | 36021 | 36040 | 36059 | 36078 | 36097 | 36116 | 36135 | 36154 |
230 | 36173 | 36192 | 36211 | 36229 | 36248 | 36267 | 36286 | 36305 | 36324 | 36342 |
231 | 36361 | 36380 | 36399 | 36418 | 36436 | 36455 | 36474 | 36493 | 36511 | 36530 |
232 | 36549 | 36568 | 36586 | 36605 | 36624 | 36642 | 36661 | 36686 | 36698 | 36717 |
233 | 36736 | 36754 | 36773 | 36791 | 36810 | 36829 | 36847 | 36866 | 36884 | 36903 |
234 | 36922 | 36940 | 36959 | 36977 | 36996 | 37014 | 37033 | 37051 | 37070 | 37088 |
235 | 37107 | 37125 | 37144 | 37162 | 37181 | 37199 | 37218 | 37236 | 37254 | 37273 |
236 | 37291 | 37310 | 37328 | 57346 | 37365 | 37383 | 37401 | 37420 | 37438 | 37457 |
237 | 37475 | 37493 | 37511 | 37530 | 37548 | 37566 | 37585 | 37603 | 37621 | 37639 |
238 | 37658 | 37676 | 37694 | 37712 | 37731 | 37749 | 37767 | 37785 | 37803 | 37822 |
239 | 37840 | 37858 | 37876 | 37894 | 37912 | 37931 | 37949 | 37967 | 37985 | 38003 |
240 | 38021 | 38039 | 38057 | 38075 | 38093 | 38112 | 38130 | 38148 | 38166 | 38184 |
241 | 38202 | 38220 | 38238 | 38256 | 38274 | 38292 | 38310 | 38328 | 38346 | 38364 |
242 | 38382 | 38399 | 38417 | 38435 | 38453 | 38471 | 38489 | 38507 | 38525 | 38543 |
243 | 38561 | 38578 | 38596 | 38614 | 38632 | 38650 | 38668 | 38686 | 38703 | 38721 |
244 | 38739 | 38757 | 38775 | 38792 | 38810 | 38828 | 38846 | 38863 | 38881 | 38899 |
245 | 38917 | 38934 | 38952 | 38970 | 38987 | 39005 | 39023 | 39041 | 39058 | 39076 |
246 | 39094 | 39111 | 39129 | 39146 | 39164 | 39182 | 39199 | 39217 | 39235 | 39252 |
247 | 39270 | 39287 | 39305 | 39322 | 39340 | 39358 | 39375 | 39393 | 39410 | 39428 |
248 | 39445 | 39463 | 39480 | 39498 | 39515 | 39533 | 39550 | 39568 | 39585 | 39602 |
249 | 39620 | 39637 | 39655 | 39672 | 39690 | 39707 | 39724 | 39742 | 39759 | 39777 |
250 | 39794 | 39811 | 39829 | 39846 | 39863 | 39881 | 39898 | 39915 | 39933 | 39950 |
251 | 39967 | 39985 | 40002 | 40019 | 40037 | 40054 | 40071 | 40088 | 40106 | 10123 |
252 | 40140 | 40157 | 40175 | 40192 | 40209 | 40226 | 40243 | 40261 | 40278 | 40295 |
253 | 40312 | 40329 | 40346 | 40364 | 40381 | 40398 | 40415 | 40432 | 40449 | 40466 |
254 | 40483 | 40500 | 40518 | 40535 | 40552 | 40569 | 40586 | 40603 | 40620 | 40637 |
255 | 40654 | 40671 | 40688 | 40705 | 40722 | 40739 | 40756 | 40773 | 40790 | 40807 |
256 | 40824 | 40841 | 40858 | 40875 | 40892 | 40909 | 40926 | 40943 | 40960 | 40976 |
257 | 40993 | 41010 | 41027 | 41044 | 41061 | 41078 | 41095 | 41111 | 41128 | 41145 |
258 | 41162 | 41179 | 41196 | 41212 | 41229 | 41246 | 41263 | 41280 | 41296 | 41313 |
259 | 41330 | 41347 | 41363 | 41380 | 41397 | 41414 | 41430 | 41447 | 41464 | 41481 |
260 | 41497 | 41514 | 41531 | 41547 | 41564 | 41581 | 41597 | 41614 | 41631 | 41647 |
261 | 41664 | 41681 | 41697 | 41714 | 41731 | 41747 | 41764 | 41780 | 41797 | 41814 |
262 | 41830 | 41847 | 41863 | 41880 | 41896 | 41913 | 41929 | 41946 | 41963 | 41979 |
263 | 41996 | 42012 | 42029 | 42045 | 42062 | 42078 | 42095 | 42111 | 42127 | 42144 |
264 | 42160 | 42177 | 42193 | 42210 | 42226 | 42243 | 42259 | 42275 | 42292 | 42308 |
265 | 42325 | 42341 | 42357 | 42374 | 42390 | 42406 | 42423 | 42439 | 42455 | 42472 |
266 | 42488 | 42504 | 42521 | 42537 | 42553 | 42570 | 42586 | 42602 | 42619 | 42635 |
267 | 42651 | 42667 | 42684 | 42700 | 42716 | 42732 | 42749 | 42765 | 42781 | 42797 |
268 | 42813 | 42830 | 42846 | 42862 | 42878 | 42894 | 42911 | 42927 | 42943 | 42959 |
269 | 42975 | 42991 | 43008 | 43024 | 43040 | 43056 | 43072 | 43088 | 43104 | 43120 |
270 | 43136 | 43152 | 43169 | 43185 | 43201 | 43217 | 43233 | 43249 | 43265 | 43281 |
271 | 43297 | 43313 | 43329 | 43345 | 43361 | 43377 | 43393 | 43409 | 43425 | 43441 |
272 | 43457 | 43473 | 43489 | 43505 | 43521 | 43537 | 43553 | 43569 | 43584 | 43600 |
273 | 43616 | 43632 | 43648 | 43664 | 43680 | 43696 | 43712 | 43727 | 43743 | 43759 |
274 | 43775 | 43791 | 43807 | 43823 | 43838 | 43854 | 43870 | 43886 | 43902 | 43917 |
275 | 43933 | 43949 | 43965 | 43981 | 43996 | 44012 | 44028 | 44044 | 44059 | 44075 |
276 | 44091 | 44107 | 44122 | 44138 | 44154 | 44170 | 44185 | 44201 | 44217 | 44232 |
277 | 44248 | 44264 | 44279 | 44295 | 44311 | 44326 | 44342 | 44358 | 44373 | 44389 |
278 | 44404 | 44420 | 44436 | 44451 | 44467 | 44483 | 44498 | 44514 | 44529 | 44545 |
279 | 44560 | 44576 | 44592 | 44607 | 44623 | 44638 | 44654 | 44669 | 44685 | 44700 |
N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 95
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 2800—3400. | Log. 44716—53148. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
280 | 44716 | 44731 | 44747 | 44762 | 44778 | 44793 | 44809 | 44824 | 44840 | 44855 |
281 | 44871 | 44886 | 44901 | 44917 | 44932 | 44948 | 44963 | 44979 | 44994 | 45010 |
282 | 45025 | 45040 | 45056 | 45071 | 45086 | 45101 | 45117 | 45133 | 45148 | 45163 |
283 | 45179 | 45194 | 45209 | 45225 | 45240 | 45155 | 45271 | 45286 | 45301 | 45317 |
284 | 45332 | 45347 | 45362 | 45378 | 45393 | 45408 | 45423 | 45439 | 45454 | 45469 |
285 | 45484 | 45500 | 45515 | 45530 | 45545 | 45561 | 45576 | 45591 | 45606 | 45621 |
286 | 45637 | 45652 | 45667 | 45682 | 45697 | 45712 | 45728 | 45743 | 45758 | 45773 |
287 | 45788 | 45803 | 45818 | 45834 | 45849 | 45864 | 45879 | 45894 | 45909 | 45941 |
288 | 45939 | 45954 | 45969 | 45984 | 46000 | 46015 | 46030 | 46045 | 46060 | 46075 |
289 | 46090 | 46105 | 46120 | 46135 | 46150 | 46165 | 46180 | 46195 | 46210 | 16225 |
290 | 46240 | 46255 | 46270 | 46285 | 46300 | 46315 | 46330 | 46345 | 46359 | 46374 |
291 | 46389 | 46404 | 46419 | 46434 | 46449 | 46464 | 46479 | 46494 | 46509 | 46523 |
292 | 46538 | 46553 | 46568 | 46583 | 46598 | 46013 | 46627 | 46642 | 46657 | 46672 |
293 | 46687 | 46702 | 46716 | 46731 | 46746 | 46761 | 46776 | 46790 | 46805 | 46820 |
294 | 46835 | 46850 | 46864 | 46879 | 46894 | 46909 | 46923 | 46938 | 46953 | 46967 |
295 | 46982 | 46997 | 47012 | 47026 | 47041 | 47056 | 47070 | 47085 | 47100 | 47114 |
296 | 47129 | 47144 | 47159 | 47173 | 47188 | 47201 | 47217 | 47232 | 47246 | 47262 |
297 | 47276 | 47290 | 47305 | 47319 | 47334 | 47349 | 47363 | 47378 | 47392 | 47407 |
298 | 47422 | 47436 | 47451 | 47465 | 47480 | 47494 | 47509 | 47524 | 47538 | 47553 |
299 | 47567 | 47582 | 47596 | 47611 | 47625 | 47640 | 47654 | 47669 | 47683 | 47698 |
300 | 47712 | 47727 | 47741 | 47756 | 47770 | 47784 | 47799 | 47813 | 47828 | 47842 |
301 | 47857 | 47871 | 47885 | 47900 | 47914 | 47929 | 47943 | 47958 | 47972 | 47986 |
302 | 48001 | 48015 | 48029 | 48044 | 48058 | 48073 | 48087 | 48101 | 48116 | 48130 |
303 | 48144 | 48159 | 48173 | 48187 | 48202 | 48216 | 48530 | 48244 | 48259 | 48273 |
304 | 48287 | 48302 | 48316 | 48330 | 48344 | 48359 | 48373 | 48387 | 48401 | 48416 |
305 | 48430 | 48444 | 48458 | 48473 | 48487 | 48501 | 48515 | 48530 | 48544 | 48558 |
306 | 48572 | 48586 | 48601 | 48615 | 48629 | 48643 | 48657 | 48671 | 48686 | 48700 |
307 | 48714 | 48728 | 48742 | 48756 | 48770 | 48785 | 48799 | 48813 | 48827 | 48841 |
308 | 48855 | 48869 | 48883 | 48897 | 48911 | 48926 | 48940 | 48954 | 48968 | 48982 |
309 | 48996 | 49010 | 49024 | 49038 | 49052 | 49066 | 49080 | 49094 | 49108 | 48122 |
310 | 49136 | 49150 | 49164 | 49178 | 49192 | 49206 | 49220 | 49234 | 49248 | 49262 |
311 | 49276 | 49290 | 49304 | 49318 | 49332 | 49346 | 49360 | 49374 | 49388 | 49402 |
312 | 49415 | 49429 | 49443 | 49457 | 49471 | 49485 | 49499 | 49513 | 49527 | 49541 |
313 | 49554 | 49568 | 49582 | 49596 | 49610 | 49624 | 49638 | 49651 | 49665 | 49679 |
314 | 49693 | 49707 | 49721 | 49734 | 49748 | 49762 | 49776 | 49790 | 49803 | 49817 |
315 | 49831 | 49845 | 49859 | 49872 | 49886 | 49900 | 49914 | 49927 | 49941 | 49955 |
316 | 49969 | 49982 | 49996 | 50010 | 50024 | 50037 | 50051 | 50065 | 50079 | 50092 |
317 | 50106 | 50120 | 50133 | 50147 | 50161 | 50174 | 50188 | 50202 | 50215 | 50229 |
318 | 50243 | 50256 | 50270 | 50284 | 50297 | 50311 | 50325 | 50338 | 50352 | 50365 |
319 | 50379 | 50393 | 50406 | 50420 | 50433 | 50447 | 50461 | 50474 | 50488 | 50501 |
320 | 50515 | 50529 | 50542 | 50556 | 50569 | 50583 | 50596 | 50610 | 50623 | 50637 |
321 | 50651 | 50664 | 50678 | 50691 | 50705 | 50718 | 50732 | 50745 | 50759 | 50772 |
322 | 50786 | 50799 | 50813 | 50826 | 50840 | 50853 | 50866 | 50880 | 50893 | 50907 |
323 | 50920 | 50934 | 50947 | 50961 | 50974 | 50987 | 51001 | 51014 | 51028 | 51041 |
324 | 51055 | 51068 | 51081 | 51095 | 51108 | 51121 | 51135 | 51148 | 51161 | 51175 |
325 | 51188 | 51202 | 51215 | 51228 | 51242 | 51255 | 51268 | 51282 | 51295 | 51308 |
326 | 51322 | 51335 | 51348 | 51362 | 51375 | 51388 | 51401 | 51415 | 51428 | 51441 |
327 | 51455 | 51468 | 51481 | 51495 | 51508 | 51521 | 51534 | 51548 | 51561 | 51574 |
328 | 51587 | 51601 | 51614 | 51627 | 51640 | 51654 | 51667 | 51680 | 51693 | 51706 |
329 | 51720 | 51733 | 51746 | 51759 | 51772 | 51786 | 51799 | 51812 | 51825 | 51838 |
330 | 51851 | 51865 | 51878 | 51891 | 51904 | 51917 | 51930 | 51943 | 51957 | 51970 |
331 | 51851 | 51996 | 52009 | 52022 | 52035 | 52048 | 52061 | 52075 | 52088 | 52101 |
332 | 52114 | 52127 | 52140 | 52153 | 52166 | 52179 | 52192 | 52205 | 52218 | 52231 |
333 | 52244 | 52257 | 52270 | 52284 | 52297 | 52310 | 52323 | 52336 | 52349 | 52362 |
334 | 52375 | 52388 | 52401 | 52414 | 52427 | 53440 | 52453 | 52466 | 52479 | 52492 |
335 | 52504 | 52517 | 52530 | 52543 | 52556 | 52569 | 52582 | 52595 | 52608 | 52621 |
336 | 52634 | 52647 | 52660 | 52673 | 52686 | 52699 | 52711 | 52724 | 52757 | 52750 |
337 | 52763 | 52776 | 52789 | 52802 | 52815 | 52827 | 52840 | 52853 | 52866 | 52879 |
338 | 51891 | 52905 | 52917 | 52930 | 52943 | 52956 | 50969 | 52981 | 52994 | 53007 |
339 | 53020 | 53033 | 53046 | 53058 | 53071 | 53084 | 53097 | 53110 | 53122 | 53135 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 96
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 3400—4000. | Log. 53148—60206. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
340 | 53148 | 53161 | 53173 | 53186 | 53199 | 53212 | 53224 | 53237 | 53250 | 53263 |
341 | 53275 | 53288 | 53301 | 53314 | 53326 | 53339 | 53352 | 53364 | 53377 | 53390 |
342 | 53403 | 53415 | 53428 | 53441 | 53453 | 53466 | 53479 | 53491 | 53504 | 53517 |
343 | 53529 | 53542 | 53555 | 53567 | 53580 | 53593 | 53605 | 53618 | 53631 | 53643 |
344 | 53656 | 53668 | 53681 | 53694 | 53706 | 53719 | 53732 | 53744 | 53757 | 53769 |
345 | 53782 | 53794 | 53807 | 53820 | 53832 | 53845 | 53857 | 53870 | 53882 | 53895 |
346 | 53908 | 53920 | 53933 | 53945 | 53958 | 53970 | 53983 | 53995 | 54008 | 54020 |
347 | 54033 | 54045 | 54058 | 54070 | 54083 | 54095 | 54108 | 54120 | 54133 | 54145 |
348 | 54158 | 54170 | 54183 | 54195 | 54208 | 54220 | 54233 | 54245 | 54258 | 54270 |
349 | 54283 | 54295 | 54307 | 54320 | 54332 | 54345 | 54357 | 54370 | 54382 | 54394 |
350 | 54407 | 54419 | 54432 | 54444 | 54456 | 54469 | 54481 | 54494 | 54506 | 54518 |
351 | 54531 | 54543 | 54555 | 54568 | 5458o | 54593 | 54605 | 54617 | 54630 | 54642 |
352 | 54654 | 54667 | 54679 | 54691 | 54704 | 54716 | 54728 | 54741 | 54753 | 54765 |
353 | 54777 | 54790 | 54802 | 54814 | 54827 | 54839 | 54851 | 54864 | 54876 | 54888 |
354 | 54900 | 54913 | 54925 | 54937 | 54949 | 54962 | 54974 | 54986 | 54998 | 55011 |
355 | 55023 | 55035 | 55047 | 55060 | 55072 | 55084 | 55096 | 55108 | 55121 | 55133 |
356 | 55145 | 55157 | 55169 | 55182 | 55194 | 55206 | 55218 | 55230 | 55242 | 55255 |
357 | 55267 | 55279 | 55291 | 55303 | 55315 | 55328 | 55340 | 55352 | 55364 | 55376 |
358 | 55388 | 55400 | 55413 | 55425 | 55437 | 55449 | 55461 | 55473 | 55485 | 55497 |
359 | 55509 | 55528 | 55534 | 55546 | 555S8 | 55570 | 55582 | 55594 | 55606 | 55618 |
360 | 55630 | 55642 | 55654 | 55666 | 55678 | 55691 | 55703 | 55715 | 55727 | 55739 |
361 | 55751 | 55763 | 55775 | 55787 | 55799 | 55811 | 55823 | 55835 | 55847 | 55859 |
362 | 55871 | 55883 | 55895 | 55907 | 55919 | 55931 | 55943 | 55955 | 55967 | 55979 |
363 | 55991 | 56003 | 56015 | 56027 | 56038 | 56050 | 56062 | 56074 | 56086 | 56098 |
364 | 56110 | 56122 | 56134 | 56146 | 56138 | 56170 | 56182 | 56194 | 56205 | 56217 |
365 | 56229 | 56241 | 56253 | 56265 | 56277 | 56289 | 56301 | 56312 | 56324 | 56336 |
366 | 56348 | 56360 | 56372 | 56384 | 56396 | 56407 | 56419 | 56431 | 56443 | 56455 |
367 | 56467 | 56478 | 56490 | 56502 | 56514 | 56526 | 56538 | 56549 | 56561 | 56573 |
368 | 56585 | 56597 | 56608 | 56620 | 56632 | 56644 | 56656 | 56667 | 56679 | 56691 |
369 | 56703 | 56914 | 56726 | 56738 | 56750 | 56761 | 56773 | 56785 | 56797 | 56808 |
370 | 56820 | 56832 | 56844 | 56855 | 56867 | 56879 | 56091 | 56902 | 56914 | 56926 |
371 | 56937 | 56949 | 56961 | 56972 | 56984 | 56996 | 57008 | 57019 | 57031 | 57043 |
372 | 57054 | 57066 | 57078 | 57089 | 57101 | 57113 | 57124 | 57136 | 57148 | 57159 |
373 | 57171 | 57183 | 57194 | 57206 | 57217 | 57229 | 57241 | 57252 | 57264 | 57276 |
374 | 57287 | 57299 | 57310 | 57322 | 57334 | 37345 | 57357 | 57368 | 57380 | 57392 |
375 | 57403 | 57415 | 57426 | 57438 | 57449 | 57461 | 57473 | 57484 | 57496 | 57507 |
376 | 57519 | 57530 | 57542 | 57553 | 57565 | 57576 | 57588 | 57600 | 57611 | 57623 |
377 | 57634 | 57646 | 57657 | 57669 | 57680 | 57692 | 57703 | 57715 | 57726 | 57738 |
378 | 57749 | 57761 | 57772 | 57784 | 57795 | 57807 | 57818 | 57830 | 57841 | 57852 |
379 | 57864 | 57875 | 57887 | 57898 | 57910 | 57921 | 57933 | 57944 | 57955 | 57967 |
380 | 57978 | 57990 | 58001 | 58013 | 58024 | 58035 | 58047 | 58058 | 58070 | 58081 |
381 | 58092 | 58104 | 58115 | 58127 | 58138 | 58149 | 58161 | 58172 | 58184 | 58195 |
382 | 58206 | 58218 | 58229 | 58240 | 58252 | 58263 | 58274 | 58286 | 58297 | 58309 |
383 | 58320 | 58331 | 58343 | 58354 | 58365 | 58377 | 58388 | 58399 | 58410 | 58422 |
384 | 58433 | 58444 | 58456 | 58467 | 58478 | 58490 | 58501 | 58512 | 58524 | 58535 |
385 | 58546 | 58557 | 58569 | 58580 | 58591 | 58602 | 58614 | 58625 | 58636 | 58647 |
386 | 58659 | 58670 | 58681 | 58692 | 58704 | 58715 | 58726 | 58737 | 58749 | 58760 |
387 | 58771 | 58782 | 58794 | 58205 | 58816 | 58827 | 58838 | 58850 | 58861 | 58872 |
388 | 58883 | 58894 | 58906 | 58917 | 58928 | 58939 | 58950 | 58961 | 58973 | 58984 |
389 | 58995 | 59006 | 59017 | 59028 | 59040 | 59051 | 59062 | 59073 | 59084 | 59095 |
390 | 59106 | 59118 | 59129 | 59140 | 59151 | 59162 | 59173 | 59184 | 59195 | 59207 |
391 | 59218 | 59229 | 59240 | 59251 | 59262 | 59273 | 59284 | 59295 | 59306 | 59318 |
392 | 59329 | 59340 | 59351 | 59362 | 59373 | 59384 | 59393 | 59406 | 59417 | 59428 |
393 | 59439 | 59450 | 5946l | 59472 | 59483 | 59494 | 59506 | 59517 | 59528 | 59539 |
394 | 59550 | 59561 | 59572 | 59583 | 59594 | 59605 | 59616 | 59627 | 59638 | 59649 |
395 | 59660 | 59671 | 59682 | 59693 | 59704 | 59715 | 59726 | 59737 | 59748 | 59759 |
396 | 59770 | 59780 | 59791 | 59802 | 59813 | 59824 | 59835 | 59846 | 59857 | 59868 |
397 | 59879 | 59890 | 59901 | 59912 | 59923 | 59934 | 59945 | 59956 | 59966 | 59977 |
398 | 59988 | 59999 | 60010 | 60021 | 60032 | 60043 | 60054 | 60065 | 60076 | 60086 |
399 | 60097 | 60108 | 60119 | 60130 | 60141 | 60152 | 60163 | 60173 | 60184 | 60195 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 97
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 4000—4600. | Log. 60206—66276. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
400 | 60206 | 60217 | 60228 | 60239 | 60249 | 60260 | 60271 | 60282 | 60293 | 60304 |
401 | 60314 | 60325 | 60336 | 60347 | 60358 | 60369 | 60379 | 60390 | 60401 | 60412 |
402 | 60423 | 60433 | 60444 | 60455 | 60466 | 60477 | 60487 | 60498 | 60509 | 60520 |
403 | 60531 | 60541 | 60552 | 60563 | 60574 | 60584 | 60595 | 60606 | 60617 | 60627 |
404 | 60638 | 60649 | 60660 | 60670 | 60681 | 60692 | 60703 | 60713 | 60724 | 60735 |
405 | 60746 | 60756 | 60767 | 60778 | 60788 | 60799 | 60810 | 60821 | 60831 | 60842 |
406 | 60853 | 60863 | 60874 | 60885 | 60895 | 60906 | 60917 | 60927 | 60938 | 60949 |
407 | 60959 | 60970 | 60981 | 60991 | 61002 | 61013 | 61023 | 61034 | 61045 | 61055 |
408 | 61066 | 61077 | 61087 | 61098 | 61109 | 61119 | 61130 | 61140 | 61151 | 61162 |
409 | 61172 | 61183 | 61194 | 61204 | 61215 | 61225 | 61236 | 61247 | 61257 | 61268 |
410 | 61278 | 61289 | 61300 | 61310 | 61321 | 61331 | 61342 | 61352 | 61363 | 61374 |
411 | 61384 | 61395 | 61405 | 61416 | 61426 | 61437 | 61448 | 61458 | 61469 | 61479 |
412 | 61490 | 61500 | 61511 | 61521 | 61532 | 61542 | 61553 | 61563 | 61574 | 61584 |
413 | 61595 | 61606 | 61616 | 61627 | 61637 | 61648 | 61658 | 61669 | 61679 | 61690 |
414 | 61700 | 61711 | 61721 | 61731 | 61742 | 61752 | 61763 | 61773 | 61784 | 61794 |
415 | 61805 | 61815 | 61826 | 61836 | 61847 | 61857 | 61868 | 61878 | 61888 | 61899 |
416 | 61909 | 61920 | 61930 | 61941 | 61951 | 61962 | 61972 | 61982 | 61993 | 62003 |
417 | 62014 | 62024 | 62034 | 62045 | 62055 | 62066 | 62076 | 62086 | 62097 | 62107 |
418 | 62118 | 62128 | 62138 | 62149 | 62159 | 62170 | 62180 | 62190 | 62201 | 62211 |
419 | 62221 | 62232 | 62242 | 62252 | 62263 | 62273 | 62284 | 62294 | 62304 | 62315 |
420 | 62325 | 62335 | 62346 | 62356 | 62366 | 62377 | 62387 | 62397 | 62408 | 62418 |
421 | 62428 | 62439 | 62449 | 62459 | 62469 | 62480 | 62490 | 62500 | 62511 | 62521 |
422 | 62531 | 62542 | 62552 | 62562 | 62572 | 62583 | 62593 | 62603 | 62613 | 62624 |
423 | 62634 | 62644 | 62655 | 62665 | 62675 | 62685 | 62696 | 62706 | 62716 | 62726 |
424 | 62737 | 62747 | 62757 | 62767 | 62778 | 62788 | 62798 | 62808 | 62818 | 62829 |
425 | 62839 | 62849 | 62859 | 62870 | 62880 | 62890 | 62900 | 62910 | 62921 | 62931 |
426 | 62941 | 62951 | 62961 | 62972 | 62982 | 62992 | 63002 | 63012 | 63022 | 63033 |
427 | 63043 | 63053 | 63063 | 63073 | 63083 | 63094 | 63104 | 63114 | 63124 | 63134 |
428 | 63144 | 63155 | 63165 | 63175 | 63185 | 63195 | 63205 | 63215 | 63325 | 63236 |
429 | 63246 | 63256 | 63266 | 63276 | 63286 | 63296 | 63306 | 63317 | 63327 | 63337 |
430 | 63347 | 63357 | 63367 | 63377 | 63387 | 63397 | 63407 | 63417 | 63428 | 63438 |
431 | 63448 | 63458 | 63468 | 63478 | 63488 | 63498 | 63508 | 63518 | 63528 | 63538 |
432 | 63548 | 63558 | 63568 | 63579 | 63589 | 63599 | 63609 | 63619 | 63629 | 63639 |
433 | 63649 | 63659 | 63669 | 65679 | 63689 | 63699 | 63709 | 63719 | 63729 | 63739 |
434 | 63749 | 63759 | 63769 | 63779 | 63789 | 63799 | 63809 | 63819 | 63829 | 63839 |
435 | 63849 | 63859 | 63869 | 63879 | 63889 | 63899 | 63909 | 63919 | 63929 | 63939 |
436 | 63949 | 63959 | 63969 | 63979 | 63988 | 63998 | 64008 | 64018 | 64028 | 64038 |
437 | 64048 | 64058 | 64068 | 64078 | 64088 | 64098 | 64108 | 64118 | 64128 | 64137 |
438 | 64147 | 64157 | 64167 | 64177 | 64187 | 64197 | 64207 | 64217 | 64227 | 64237 |
439 | 64246 | 64256 | 64266 | 64276 | 64286 | 64296 | 64306 | 64316 | 64326 | 64335 |
440 | 64345 | 64355 | 64365 | 64375 | 64385 | 64395 | 64404 | 64414 | 64424 | 64434 |
441 | 64444 | 64454 | 64464 | 64473 | 64483 | 64493 | 64503 | 64513 | 64523 | 64532 |
442 | 64542 | 64552 | 64562 | 64572 | 64582 | 64591 | 64601 | 64611 | 64621 | 64631 |
443 | 64640 | 64650 | 64660 | 64670 | 64680 | 64689 | 64699 | 64709 | 64719 | 64729 |
444 | 64738 | 64748 | 64758 | 64768 | 64777 | 64787 | 64797 | 64807 | 64816 | 64826 |
445 | 64836 | 64846 | 64856 | 64865 | 64875 | 64885 | 64895 | 64904 | 64914 | 64924 |
446 | 64933 | 64943 | 64953 | 64963 | 64972 | 64982 | 64992 | 65002 | 65011 | 65021 |
447 | 65031 | 65040 | 65050 | 65060 | 65070 | 65079 | 65089 | 65099 | 65108 | 65118 |
448 | 65128 | 65137 | 65147 | 65157 | 65167 | 65176 | 65186 | 65196 | 65205 | 65215 |
449 | 65225 | 65234 | 65244 | 65254 | 65263 | 65273 | 65283 | 65292 | 65302 | 65312 |
450 | 65321 | 65331 | 65341 | 65350 | 65360 | 65369 | 65379 | 65389 | 65398 | 65408 |
451 | 65418 | 65427 | 65437 | 65447 | 65456 | 65466 | 65475 | 65485 | 65495 | 65504 |
452 | 65514 | 65523 | 65533 | 65543 | 65552 | 65562 | 65571 | 65581 | 65591 | 65600 |
453 | 65610 | 65619 | 65629 | 65639 | 65648 | 65658 | 65667 | 65677 | 65686 | 65696 |
454 | 65706 | 65715 | 65725 | 65734 | 65744 | 65753 | 65763 | 65772 | 65782 | 65792 |
455 | 65801 | 65811 | 65820 | 65830 | 65839 | 65849 | 65858 | 65868 | 65877 | 65887 |
456 | 65896 | 65906 | 65916 | 65925 | 65935 | 65944 | 65954 | 65963 | 65973 | 65982 |
457 | 65992 | 66001 | 66011 | 66020 | 66030 | 66039 | 66049 | 66058 | 66068 | 66077 |
458 | 66087 | 66096 | 66106 | 66115 | 66124 | 66134 | 66143 | 66153 | 66162 | 66172 |
459 | 66181 | 66191 | 66200 | 66210 | 66219 | 66229 | 66238 | 66247 | 66257 | 66266 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
N
[page] 98
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 4600—5200. | Log. 66276—71600. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
460 | 66276 | 66285 | 66295 | 66304 | 66314 | 66323 | 66332 | 66342 | 66351 | 66361 |
461 | 66370 | 66380 | 66389 | 66398 | 66408 | 66417 | 66427 | 66436 | 66445 | 66455 |
462 | 66464 | 66474 | 66483 | 66492 | 66502 | 66511 | 66521 | 66530 | 66539 | 66549 |
463 | 66558 | 66567 | 66577 | 66586 | 66596 | 66605 | 66614 | 66624 | 66633 | 66642 |
464 | 66652 | 66661 | 66671 | 66680 | 66689 | 66699 | 66708 | 66717 | 66727 | 66736 |
465 | 66745 | 66755 | 66764 | 66773 | 66783 | 66792 | 66801 | 66811 | 66820 | 66829 |
466 | 66839 | 66848 | 66857 | 66867 | 66876 | 66885 | 66894 | 66904 | 66913 | 66922 |
467 | 66932 | 66941 | 66950 | 66960 | 66969 | 66978 | 66987 | 66997 | 67006 | 67015 |
468 | 67025 | 67034 | 67043 | 67052 | 67062 | 67071 | 67080 | 67089 | 67099 | 67108 |
469 | 67117 | 67127 | 67136 | 67145 | 67154 | 67164 | 67173 | 67182 | 67191 | 67201 |
470 | 67210 | 67219 | 67228 | 67237 | 67247 | 67256 | 67265 | 67274 | 67284 | 67293 |
471 | 67302 | 67311 | 67321 | 67330 | 67339 | 67348 | 67357 | 67367 | 67376 | 67385 |
472 | 67394 | 67403 | 67413 | 67422 | 67431 | 67440 | 67449 | 67459 | 67468 | 67477 |
473 | 67486 | 67495 | 67504 | 67514 | 67523 | 67532 | 67541 | 67550 | 67560 | 67569 |
474 | 67578 | 67587 | 67596 | 67605 | 67614 | 67624 | 67633 | 67642 | 67651 | 67660 |
475 | 67669 | 67679 | 67688 | 67697 | 67706 | 67715 | 67724 | 67733 | 67742 | 67752 |
476 | 67761 | 67770 | 67779 | 67788 | 67797 | 67806 | 67815 | 67825 | 67834 | 67843 |
477 | 67852 | 67861 | 67870 | 67879 | 67888 | 67897 | 67906 | 67916 | 67925 | 67934 |
478 | 67943 | 67952 | 67961 | 67970 | 67979 | 67988 | 67997 | 68006 | 68015 | 68024 |
479 | 68034 | 68043 | 68052 | 68061 | 68070 | 68079 | 68088 | 68097 | 68106 | 68115 |
480 | 68124 | 68133 | 68142 | 68151 | 68160 | 68169 | 68178 | 68187 | 68196 | 68205 |
481 | 68215 | 68224 | 68233 | 68242 | 68251 | 68260 | 68269 | 68278 | 68287 | 68296 |
482 | 68305 | 68314 | 68323 | 68332 | 68341 | 68350 | 68359 | 68368 | 68377 | 68386 |
483 | 68395 | 68404 | 68413 | 68422 | 68431 | 68440 | 68449 | 68458 | 68467 | 68476 |
484 | 68485 | 68494 | 68502 | 68511 | 68520 | 68529 | 68538 | 68547 | 68556 | 68565 |
485 | 68574 | 68583 | 68592 | 68601 | 68610 | 68619 | 68628 | 68637 | 68646 | 68655 |
486 | 68664 | 68673 | 68681 | 68690 | 68699 | 68708 | 68717 | 68726 | 68735 | 68744 |
487 | 68753 | 68762 | 68771 | 68780 | 68789 | 68797 | 68806 | 68815 | 68824 | 68833 |
488 | 68842 | 68851 | 68860 | 68869 | 68878 | 68886 | 68895 | 68904 | 68913 | 68922 |
489 | 68931 | 68940 | 68949 | 68958 | 68966 | 68975 | 68984 | 68993 | 69002 | 69011 |
490 | 69020 | 69028 | 69037 | 69046 | 69055 | 69064 | 69073 | 69082 | 69090 | 69099 |
491 | 69108 | 69117 | 69126 | 69135 | 69144 | 69152 | 69161 | 69170 | 69179 | 69188 |
492 | 69197 | 69205 | 69214 | 69223 | 69232 | 69241 | 69249 | 69258 | 69267 | 69276 |
493 | 69285 | 69294 | 69302 | 69311 | 69320 | 69329 | 69338 | 69346 | 69355 | 69364 |
494 | 69373 | 69381 | 69390 | 69399 | 69408 | 69417 | 69425 | 69434 | 69443 | 69452 |
495 | 69461 | 69469 | 69478 | 69487 | 69496 | 69504 | 69513 | 69522 | 69531 | 69539 |
496 | 69548 | 69557 | 69566 | 69574 | 69583 | 69592 | 69601 | 69609 | 69618 | 69627 |
497 | 69636 | 69644 | 69653 | 69662 | 69671 | 69679 | 69688 | 69697 | 69705 | 69714 |
498 | 69723 | 69732 | 69740 | 69749 | 69758 | 69767 | 69775 | 69784 | 69793 | 69801 |
499 | 69810 | 69819 | 69827 | 69836 | 69845 | 69854 | 69862 | 69871 | 69880 | 69888 |
500 | 69897 | 69906 | 69914 | 69923 | 69932 | 69940 | 79949 | 69958 | 69966 | 69975 |
501 | 69984 | 69992 | 70001 | 70010 | 70018 | 70027 | 70036 | 70044 | 70053 | 70062 |
502 | 70070 | 70079 | 70088 | 70096 | 70105 | 70114 | 70122 | 70131 | 70140 | 70148 |
503 | 70157 | 70165 | 70174 | 70183 | 70191 | 70200 | 70209 | 70217 | 70226 | 70234 |
504 | 70243 | 70252 | 70260 | 70269 | 70278 | 70286 | 70295 | 70303 | 70312 | 70321 |
505 | 70329 | 70338 | 70346 | 70355 | 70364 | 70372 | 70381 | 70389 | 70398 | 70406 |
506 | 70415 | 70424 | 70432 | 70441 | 70449 | 70458 | 70467 | 70475 | 70484 | 70492 |
507 | 70501 | 70509 | 70518 | 70526 | 70535 | 70544 | 70552 | 70561 | 70569 | 70578 |
508 | 70586 | 70595 | 70603 | 70612 | 70621 | 70629 | 70638 | 70646 | 70655 | 70663 |
509 | 70672 | 70680 | 70689 | 70697 | 70706 | 70714 | 70723 | 70731 | 70740 | 70749 |
510 | 70757 | 70766 | 70774 | 70783 | 70791 | 70800 | 70808 | 70817 | 70825 | 70834 |
511 | 70842 | 70851 | 70859 | 70868 | 70876 | 70885 | 70893 | 70902 | 70910 | 70919 |
512 | 70927 | 70935 | 70944 | 70952 | 70961 | 70969 | 70978 | 70986 | 70995 | 71003 |
513 | 71012 | 71020 | 71029 | 71037 | 71046 | 71054 | 71063 | 71071 | 71079 | 71088 |
514 | 71096 | 71105 | 71113 | 71122 | 71130 | 71139 | 71147 | 71155 | 71164 | 71172 |
515 | 71181 | 71189 | 71198 | 71206 | 71214 | 71223 | 71231 | 71240 | 71248 | 71257 |
516 | 71265 | 71273 | 71282 | 71290 | 71299 | 71307 | 71315 | 71324 | 71332 | 71341 |
517 | 71349 | 71357 | 71366 | 71374 | 71383 | 71391 | 71399 | 71408 | 71416 | 71425 |
518 | 71433 | 71441 | 71450 | 71458 | 71466 | 71475 | 71483 | 71492 | 71500 | 71508 |
519 | 71517 | 71525 | 71533 | 71542 | 71550 | 71559 | 71567 | 71575 | 71584 | 71592 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 99
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 5200—5800. | Log. 71600—76343. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
520 | 71600 | 71609 | 71617 | 71625 | 71634 | 71642 | 71650 | 71659 | 71667 | 71675 |
521 | 71684 | 71692 | 71700 | 71709 | 71717 | 71725 | 71734 | 71742 | 71750 | 71759 |
522 | 71767 | 71775 | 71784 | 71792 | 71800 | 71809 | 71817 | 71825 | 71834 | 71842 |
523 | 71850 | 71858 | 71867 | 71875 | 71883 | 71892 | 71900 | 71908 | 71917 | 71925 |
524 | 71933 | 71941 | 71950 | 71958 | 71966 | 71975 | 71983 | 71991 | 71999 | 72008 |
525 | 72016 | 72024 | 72032 | 72041 | 72049 | 72057 | 72066 | 72074 | 72082 | 72090 |
526 | 72099 | 72107 | 72115 | 72123 | 72132 | 72140 | 72148 | 72156 | 72165 | 72173 |
527 | 72181 | 72189 | 72198 | 72206 | 72214 | 72222 | 72230 | 72239 | 72247 | 72255 |
528 | 72263 | 72272 | 72280 | 72288 | 72296 | 72304 | 72313 | 72321 | 72329 | 72337 |
529 | 72346 | 72354 | 72362 | 72370 | 72378 | 72387 | 72395 | 72403 | 72411 | 72419 |
530 | 72428 | 72436 | 72444 | 72452 | 72460 | 72469 | 72477 | 72485 | 72493 | 72501 |
531 | 72509 | 72518 | 72526 | 72534 | 72542 | 72550 | 72558 | 72567 | 72575 | 72583 |
532 | 72591 | 72599 | 72607 | 72616 | 72624 | 72632 | 72640 | 72648 | 72656 | 72665 |
533 | 72673 | 72681 | 72689 | 72697 | 72705 | 72713 | 72722 | 72730 | 72738 | 72746 |
534 | 72754 | 72762 | 72770 | 72779 | 72787 | 72795 | 72803 | 72811 | 72819 | 72827 |
535 | 72835 | 72843 | 72852 | 72860 | 72868 | 72876 | 72884 | 72892 | 72900 | 72908 |
536 | 72916 | 72925 | 72933 | 72941 | 72949 | 72957 | 72965 | 72973 | 72981 | 72989 |
537 | 72997 | 73006 | 73014 | 73022 | 73030 | 73038 | 73046 | 73054 | 73062 | 73070 |
538 | 73078 | 73086 | 73094 | 73102 | 73111 | 73119 | 73127 | 73135 | 73143 | 73151 |
539 | 73159 | 73167 | 73175 | 73183 | 73191 | 73199 | 73207 | 73215 | 73223 | 73231 |
540 | 73239 | 73247 | 73255 | 73263 | 73272 | 73280 | 73288 | 73296 | 73304 | 73312 |
541 | 73320 | 73328 | 73336 | 73344 | 73352 | 73360 | 73368 | 73376 | 73384 | 73392 |
542 | 73400 | 73408 | 73416 | 73424 | 73432 | 73440 | 73448 | 73456 | 73464 | 73472 |
543 | 73480 | 71488 | 73496 | 73504 | 73512 | 73520 | 73528 | 73536 | 73544 | 73552 |
544 | 73560 | 73568 | 73576 | 73584 | 73592 | 73600 | 73608 | 73616 | 73624 | 73632 |
545 | 73640 | 73648 | 73656 | 73664 | 73672 | 73679 | 73687 | 73695 | 73703 | 73711 |
546 | 73719 | 73727 | 73735 | 73743 | 73751 | 73759 | 73767 | 73775 | 73783 | 73791 |
547 | 73799 | 73807 | 73815 | 73823 | 73830 | 73838 | 73846 | 73854 | 73862 | 73870 |
548 | 73878 | 73886 | 73894 | 73902 | 73910 | 73918 | 73926 | 73933 | 73941 | 73949 |
549 | 73957 | 73965 | 73973 | 73981 | 73989 | 73997 | 74005 | 74013 | 74020 | 74028 |
550 | 74036 | 74044 | 74052 | 74060 | 74068 | 74076 | 74084 | 74092 | 74099 | 74107 |
551 | 74115 | 74123 | 74131 | 74139 | 74147 | 74155 | 74162 | 74170 | 74178 | 74186 |
552 | 74194 | 74202 | 74210 | 74218 | 74225 | 74233 | 74241 | 74249 | 74257 | 74265 |
553 | 74273 | 74280 | 74288 | 74296 | 74304 | 74312 | 74320 | 74327 | 74335 | 74343 |
554 | 74351 | 74359 | 74367 | 74374 | 74382 | 74390 | 74398 | 74406 | 74414 | 74421 |
555 | 74429 | 74437 | 74445 | 74453 | 74461 | 74468 | 74476 | 74484 | 74492 | 74500 |
556 | 74507 | 74515 | 74523 | 74531 | 74539 | 74547 | 74554 | 74562 | 74570 | 74578 |
557 | 74586 | 74593 | 74601 | 74609 | 74617 | 74624 | 74632 | 74640 | 74648 | 74656 |
558 | 74663 | 74671 | 74679 | 74687 | 74695 | 74702 | 74710 | 74718 | 74726 | 74733 |
559 | 74741 | 74749 | 74757 | 74764 | 74772 | 74780 | 74788 | 74796 | 74803 | 74811 |
560 | 74819 | 74827 | 74834 | 74842 | 74850 | 74858 | 74865 | 74873 | 74881 | 74889 |
561 | 74896 | 74904 | 74912 | 74920 | 74927 | 74935 | 74943 | 74950 | 74958 | 74966 |
562 | 74974 | 74981 | 74989 | 74997 | 75005 | 75012 | 75020 | 75028 | 75035 | 75043 |
563 | 75051 | 75059 | 75066 | 75074 | 75082 | 75089 | 75097 | 75105 | 75113 | 75120 |
564 | 75128 | 75136 | 75143 | 75151 | 75159 | 75166 | 75174 | 75182 | 75189 | 75197 |
565 | 75205 | 75213 | 75220 | 75228 | 75236 | 75243 | 75251 | 75259 | 75266 | 75274 |
566 | 75282 | 75289 | 75297 | 75305 | 75312 | 75320 | 75328 | 75335 | 75343 | 73351 |
567 | 75358 | 75366 | 75374 | 75381 | 75389 | 75397 | 75404 | 75412 | 75420 | 75427 |
568 | 75435 | 75442 | 75450 | 75458 | 75465 | 75473 | 75481 | 75488 | 75496 | 75504 |
569 | 75511 | 75519 | 75526 | 75534 | 75542 | 75549 | 75557 | 75565 | 75572 | 75580 |
570 | 75587 | 75595 | 75603 | 75610 | 75618 | 75626 | 75633 | 75641 | 75648 | 75656 |
571 | 75664 | 75671 | 75679 | 75686 | 75694 | 75702 | 75709 | 75717 | 75724 | 75732 |
572 | 75740 | 75747 | 75755 | 75762 | 75770 | 75778 | 75785 | 75793 | 75800 | 75808 |
573 | 75815 | 75823 | 75831 | 75838 | 75846 | 75853 | 75861 | 75868 | 75876 | 75884 |
574 | 75891 | 75899 | 75096 | 75914 | 75921 | 75929 | 75937 | 75944 | 75952 | 75959 |
575 | 75967 | 75974 | 75982 | 75989 | 75997 | 76005 | 76012 | 76020 | 76027 | 76035 |
576 | 76042 | 76050 | 76057 | 76065 | 76072 | 76080 | 76087 | 76095 | 76103 | 76110 |
577 | 76118 | 76125 | 76133 | 76140 | 76148 | 76155 | 76163 | 76170 | 70178 | 76185 |
578 | 76193 | 76200 | 76208 | 76215 | 76223 | 76230 | 76238 | 76245 | 76253 | 76260 |
579 | 76268 | 76275 | 76283 | 76290 | 76298 | 76305 | 76313 | 76320 | 76328 | 76335 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
N 2
[page] 100
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 5800—6400. | Log. 76343—80618. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
580 | 76343 | 76350 | 76358 | 76365 | 76373 | 76380 | 76388 | 76395 | 76403 | 76410 |
581 | 76418 | 76425 | 76433 | 76440 | 76448 | 76455 | 76462 | 76470 | 76477 | 76485 |
582 | 76492 | 76500 | 76507 | 76515 | 76522 | 76530 | 76537 | 76545 | 76552 | 76559 |
583 | 76567 | 76574 | 76582 | 76589 | 76597 | 76604 | 76612 | 76619 | 76626 | 76634 |
584 | 76641 | 76649 | 76656 | 76664 | 76671 | 76678 | 76686 | 76693 | 76701 | 76708 |
585 | 76716 | 76723 | 76730 | 76738 | 76745 | 76753 | 76760 | 76768 | 76775 | 76782 |
586 | 76790 | 76797 | 76805 | 76812 | 76819 | 76827 | 76834 | 76842 | 76849 | 76856 |
587 | 76864 | 76871 | 76879 | 76886 | 76893 | 76901 | 76908 | 76916 | 76923 | 76930 |
588 | 76938 | 76945 | 76953 | 76960 | 76967 | 76975 | 76982 | 76989 | 76997 | 77004 |
589 | 77012 | 77019 | 77026 | 77034 | 77041 | 77048 | 77056 | 77063 | 77070 | 77078 |
590 | 77085 | 77093 | 77100 | 77107 | 77115 | 77122 | 77129 | 77137 | 77144 | 77151 |
591 | 77159 | 77166 | 77173 | 77181 | 77188 | 77195 | 77203 | 77210 | 77217 | 77225 |
592 | 77232 | 77240 | 77247 | 77254 | 77262 | 77269 | 77276 | 77283 | 77291 | 77298 |
593 | 77305 | 77313 | 77320 | 77327 | 77335 | 77342 | 77349 | 77357 | 77364 | 77371 |
594 | 77379 | 77386 | 77393 | 77401 | 77408 | 77415 | 77422 | 77430 | 77437 | 77444 |
595 | 77452 | 77459 | 77466 | 77474 | 77481 | 77488 | 77495 | 77503 | 77510 | 77517 |
596 | 77525 | 77532 | 77539 | 77546 | 77554 | 77561 | 77568 | 77576 | 77583 | 77590 |
597 | 77597 | 77605 | 77612 | 77619 | 77627 | 77634 | 77641 | 77648 | 77656 | 77663 |
598 | 77670 | 77677 | 77685 | 77692 | 77699 | 77706 | 77714 | 77721 | 77728 | 77735 |
599 | 77743 | 77750 | 77757 | 77764 | 77772 | 77779 | 77786 | 77793 | 77801 | 77808 |
600 | 77815 | 77822 | 77830 | 77837 | 77844 | 77851 | 77859 | 77866 | 77873 | 77880 |
601 | 77887 | 77895 | 77902 | 77909 | 77916 | 77924 | 77931 | 77938 | 77945 | 77952 |
602 | 77960 | 77967 | 77974 | 77981 | 77988 | 77996 | 78003 | 78010 | 78017 | 78025 |
603 | 78032 | 78039 | 78046 | 78053 | 78061 | 78068 | 78075 | 78082 | 78089 | 78097 |
604 | 78104 | 78111 | 78118 | 78125 | 78132 | 78140 | 78147 | 78154 | 78161 | 78168 |
605 | 78176 | 78183 | 78190 | 78197 | 78204 | 78211 | 78219 | 78226 | 78233 | 78240 |
606 | 78247 | 78254 | 78262 | 78269 | 78276 | 78283 | 78290 | 78297 | 78305 | 78312 |
607 | 78319 | 78326 | 78333 | 78340 | 78347 | 78355 | 78362 | 78369 | 78376 | 78383 |
608 | 78390 | 78398 | 78405 | 78412 | 78419 | 78426 | 78433 | 78440 | 78447 | 78455 |
609 | 78462 | 78469 | 78476 | 78483 | 78490 | 78497 | 78504 | 78512 | 78519 | 78526 |
610 | 78533 | 78540 | 78547 | 78554 | 78561 | 78569 | 78576 | 78583 | 78590 | 78597 |
611 | 78604 | 78611 | 78618 | 78625 | 78633 | 78640 | 78647 | 78654 | 78661 | 78668 |
612 | 78675 | 78682 | 78689 | 78696 | 78704 | 78711 | 78718 | 78725 | 78732 | 78739 |
613 | 78746 | 78753 | 78760 | 78767 | 78774 | 78781 | 78789 | 78796 | 78803 | 78810 |
614 | 78817 | 78824 | 78831 | 78838 | 78845 | 78852 | 78859 | 78866 | 78873 | 78880 |
615 | 78888 | 78895 | 78902 | 78909 | 78916 | 78923 | 78930 | 78937 | 78944 | 78951 |
616 | 78958 | 78965 | 78972 | 78979 | 78986 | 78993 | 79000 | 79007 | 79014 | 79021 |
617 | 79029 | 79036 | 79043 | 79050 | 79057 | 79064 | 79071 | 79078 | 79085 | 79092 |
618 | 79099 | 79106 | 79113 | 79120 | 79127 | 79134 | 79141 | 79148 | 79155 | 79162 |
619 | 79169 | 79176 | 79183 | 79190 | 79197 | 79204 | 79211 | 79218 | 79225 | 79232 |
620 | 79239 | 79246 | 79253 | 79260 | 79267 | 79274 | 79281 | 79288 | 79295 | 79302 |
621 | 79309 | 79316 | 79323 | 79330 | 79337 | 79344 | 79351 | 79358 | 79365 | 79372 |
622 | 79379 | 79386 | 79393 | 79400 | 79407 | 79414 | 79421 | 79428 | 79435 | 79442 |
623 | 79449 | 79456 | 79463 | 79470 | 79477 | 79484 | 79491 | 79498 | 79505 | 79511 |
624 | 79518 | 79525 | 79532 | 79539 | 79546 | 79553 | 79560 | 79567 | 79574 | 79581 |
625 | 79588 | 79595 | 79602 | 79609 | 79616 | 79623 | 79630 | 79637 | 79644 | 79650 |
626 | 79657 | 79664 | 79671 | 79678 | 79685 | 79692 | 79699 | 79706 | 79713 | 79720 |
627 | 79727 | 79734 | 79741 | 79748 | 79754 | 79761 | 79768 | 79775 | 79782 | 79789 |
628 | 79796 | 79803 | 79810 | 79817 | 79824 | 79831 | 79837 | 79844 | 79851 | 79858 |
629 | 79865 | 79872 | 79879 | 79886 | 79893 | 79900 | 79906 | 79913 | 79920 | 79927 |
630 | 79934 | 79941 | 79948 | 79955 | 79962 | 79969 | 79975 | 79982 | 79989 | 79996 |
631 | 80003 | 80010 | 80017 | 80024 | 80030 | 80037 | 80044 | 80051 | 80058 | 80065 |
632 | 80072 | 80079 | 80085 | 80092 | 80099 | 80106 | 80113 | 80120 | 80127 | 80134 |
633 | 80140 | 80147 | 80154 | 80161 | 80168 | 80175 | 80182 | 80188 | 80195 | 80202 |
634 | 80209 | 80216 | 80223 | 80229 | 80236 | 80243 | 80250 | 80257 | 80264 | 80271 |
635 | 80277 | 80284 | 80291 | 80298 | 80305 | 80312 | 80318 | 80325 | 80332 | 80339 |
636 | 80346 | 80353 | 80359 | 80366 | 80373 | 80380 | 80387 | 80393 | 80400 | 80407 |
637 | 80414 | 80421 | 80428 | 80434 | 80441 | 80448 | 80455 | 80462 | 80468 | 80475 |
638 | 80482 | 80489 | 80496 | 80502 | 80509 | 80516 | 80523 | 80530 | 80536 | 80543 |
639 | 80550 | 80557 | 80564 | 80570 | 80577 | 80584 | 80591 | 80598 | 80604 | 80611 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 101
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 6400—7000. | Log. 80618—84510. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
640 | 80618 | 80625 | 80632 | 80638 | 80645 | 80652 | 80659 | 80665 | 80672 | 80679 |
641 | 80686 | 80693 | 80699 | 80706 | 80713 | 80720 | 80726 | 80733 | 80740 | 80747 |
642 | 80754 | 80760 | 80767 | 80774 | 80781 | 80787 | 80794 | 80801 | 80808 | 80814 |
643 | 80821 | 80828 | 80835 | 80841 | 80848 | 80855 | 80862 | 80868 | 80875 | 80882 |
644 | 80889 | 80895 | 80902 | 80909 | 80916 | 80922 | 80929 | 80936 | 80943 | 80949 |
645 | 80956 | 80963 | 80969 | 80976 | 80983 | 80990 | 80996 | 81003 | 81010 | 81017 |
646 | 81023 | 81030 | 81037 | 81043 | 81050 | 81057 | 81064 | 81070 | 81077 | 81084 |
647 | 81090 | 81097 | 81104 | 81111 | 81117 | 81124 | 81131 | 81137 | 81144 | 81151 |
648 | 82158 | 81164 | 81171 | 81178 | 81184 | 81191 | 81198 | 81204 | 81211 | 81218 |
649 | 81224 | 81231 | 81238 | 81245 | 81251 | 81258 | 81265 | 81271 | 81278 | 81285 |
650 | 81291 | 81298 | 81305 | 81311 | 81318 | 81325 | 81331 | 81338 | 81345 | 81351 |
651 | 81358 | 81365 | 81371 | 81378 | 81385 | 81391 | 81398 | 81405 | 81411 | 81418 |
652 | 81425 | 81431 | 81438 | 81445 | 81451 | 81458 | 81465 | 81471 | 81478 | 81485 |
653 | 81491 | 81498 | 81505 | 81511 | 81518 | 81525 | 81531 | 81538 | 81544 | 81551 |
654 | 81558 | 81564 | 81571 | 81578 | 81584 | 81591 | 81598 | 81604 | 81611 | 81617 |
655 | 81624 | 81631 | 81637 | 81644 | 81651 | 81657 | 81664 | 81671 | 81677 | 81684 |
656 | 81690 | 81697 | 81704 | 81710 | 81717 | 81723 | 81730 | 81737 | 81743 | 81750 |
657 | 81757 | 81763 | 81770 | 81776 | 81783 | 81790 | 81796 | 81803 | 81809 | 81816 |
658 | 81823 | 81829 | 81836 | 81842 | 81849 | 81856 | 81862 | 81869 | 81875 | 81882 |
659 | 81889 | 81895 | 81902 | 81908 | 81915 | 81921 | 81928 | 81935 | 81941 | 81948 |
660 | 81954 | 81961 | 81968 | 81974 | 81981 | 81987 | 81994 | 82000 | 82007 | 82014 |
661 | 82020 | 82027 | 82033 | 82040 | 82046 | 82053 | 82060 | 82066 | 82073 | 82079 |
662 | 82086 | 82092 | 82099 | 82105 | 82112 | 82119 | 82125 | 82132 | 82138 | 82145 |
663 | 82151 | 82158 | 82164 | 82171 | 82178 | 82184 | 82191 | 82197 | 82204 | 82210 |
664 | 82217 | 82223 | 82230 | 82236 | 82243 | 82249 | 82256 | 82263 | 82269 | 82276 |
665 | 82282 | 82289 | 82295 | 82302 | 82308 | 82315 | 82321 | 82328 | 82334 | 82341 |
666 | 82347 | 82354 | 82360 | 82367 | 82373 | 82380 | 82387 | 82393 | 82400 | 82406 |
667 | 82413 | 82419 | 82426 | 82432 | 82439 | 82445 | 82452 | 82458 | 82465 | 82471 |
668 | 82478 | 82484 | 82491 | 82497 | 82504 | 82510 | 82517 | 82523 | 82530 | 82536 |
669 | 82543 | 82549 | 82556 | 82562 | 82569 | 82575 | 82582 | 82588 | 82595 | 82601 |
670 | 82607 | 82614 | 82620 | 82627 | 82633 | 82640 | 82646 | 82653 | 82659 | 82666 |
671 | 82672 | 82679 | 82685 | 82692 | 82698 | 82705 | 82711 | 82718 | 82724 | 82730 |
672 | 82737 | 82743 | 82750 | 82756 | 82763 | 82769 | 82776 | 82782 | 82789 | 82795 |
673 | 82802 | 82808 | 82814 | 82821 | 82827 | 82834 | 82840 | 82847 | 82853 | 82860 |
674 | 82866 | 82872 | 82879 | 82885 | 82892 | 82898 | 82905 | 82911 | 82918 | 82924 |
675 | 82930 | 82937 | 82943 | 82950 | 82956 | 82963 | 82969 | 82975 | 82982 | 82988 |
676 | 82995 | 83001 | 83008 | 83014 | 83020 | 83027 | 83033 | 83040 | 83046 | 83052 |
677 | 83059 | 83065 | 83072 | 83078 | 83085 | 83091 | 83097 | 83104 | 83110 | 83117 |
678 | 83123 | 83129 | 83136 | 83142 | 83149 | 83155 | 83161 | 83168 | 83174 | 83181 |
679 | 83187 | 83193 | 83200 | 83206 | 83213 | 83219 | 83225 | 83232 | 83238 | 83245 |
680 | 83251 | 83257 | 83264 | 83270 | 83276 | 83283 | 83289 | 83296 | 83302 | 83308 |
681 | 83315 | 83321 | 83327 | 83334 | 83340 | 83347 | 83353 | 83359 | 83366 | 83372 |
682 | 83378 | 83385 | 83391 | 83398 | 83404 | 83410 | 83417 | 83423 | 83429 | 83436 |
683 | 83442 | 83448 | 83455 | 83461 | 83467 | 83474 | 83480 | 83487 | 83493 | 83499 |
684 | 83506 | 83512 | 83518 | 83525 | 83531 | 83537 | 83544 | 83550 | 83556 | 83563 |
685 | 83569 | 83575 | 83582 | 83588 | 83594 | 83601 | 83607 | 83613 | 83620 | 83626 |
686 | 83632 | 83639 | 83645 | 83651 | 83658 | 83664 | 83670 | 83677 | 83683 | 83689 |
687 | 83696 | 83702 | 83708 | 83715 | 83721 | 83727 | 83734 | 83740 | 83746 | 83753 |
688 | 83759 | 83765 | 83771 | 83778 | 83784 | 83790 | 83797 | 83803 | 83809 | 83816 |
689 | 83822 | 83828 | 83835 | 83841 | 83847 | 83853 | 83860 | 83866 | 83872 | 83879 |
690 | 83885 | 83891 | 83897 | 83904 | 83910 | 83916 | 83923 | 83929 | 83935 | 83942 |
691 | 83948 | 83954 | 83960 | 83967 | 83973 | 83979 | 83985 | 83992 | 83998 | 84004 |
692 | 84011 | 84017 | 84023 | 84029 | 84036 | 84042 | 84048 | 84055 | 84061 | 84067 |
693 | 84073 | 84080 | 84086 | 84092 | 84098 | 84105 | 84111 | 84117 | 84123 | 84130 |
694 | 84136 | 84142 | 84148 | 84155 | 84161 | 84167 | 84173 | 84180 | 84186 | 84192 |
695 | 84198 | 84205 | 84211 | 84217 | 84223 | 84230 | 84236 | 84242 | 84248 | 84255 |
696 | 84261 | 84267 | 84273 | 84280 | 84286 | 84292 | 84298 | 84305 | 84311 | 84317 |
697 | 84323 | 84330 | 84336 | 84342 | 84348 | 84354 | 84361 | 84367 | 84373 | 84379 |
698 | 84386 | 84392 | 84398 | 84404 | 84410 | 84417 | 84423 | 84429 | 84435 | 84442 |
699 | 84448 | 84454 | 84460 | 84466 | 84473 | 84479 | 84485 | 84491 | 84497 | 84504 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 102
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 7000—7600. | Log. 84510—88081. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
700 | 84510 | 84516 | 84522 | 84528 | 84535 | 84541 | 84547 | 84553 | 84559 | 84566 |
701 | 84572 | 84578 | 84584 | 84590 | 84597 | 84603 | 84609 | 84615 | 84621 | 84628 |
702 | 84634 | 84640 | 84646 | 84652 | 84658 | 84665 | 84671 | 84677 | 84683 | 84689 |
703 | 84696 | 84702 | 84708 | 84714 | 84720 | 84726 | 84733 | 84739 | 84745 | 84751 |
704 | 84757 | 84763 | 84770 | 84776 | 84782 | 84788 | 84794 | 84800 | 84807 | 84813 |
705 | 84819 | 84825 | 84831 | 84837 | 84844 | 84850 | 84856 | 84862 | 84868 | 84874 |
706 | 84880 | 84887 | 84893 | 84899 | 84905 | 84911 | 84917 | 84924 | 84930 | 84936 |
707 | 84942 | 84948 | 84954 | 84960 | 84967 | 84973 | 84979 | 84985 | 84991 | 84997 |
708 | 85003 | 85009 | 85016 | 85022 | 85028 | 85034 | 85040 | 85046 | 85052 | 85058 |
709 | 85065 | 85071 | 85077 | 85083 | 85089 | 85095 | 85101 | 85107 | 85114 | 85120 |
710 | 85126 | 85132 | 85138 | 85144 | 85150 | 85156 | 85163 | 85169 | 85175 | 85181 |
711 | 85187 | 85193 | 85199 | 85205 | 85211 | 85217 | 85224 | 85230 | 85236 | 85242 |
712 | 85248 | 85254 | 85260 | 85266 | 85272 | 85278 | 85285 | 85291 | 85297 | 85303 |
713 | 85309 | 85315 | 85321 | 85327 | 85333 | 85339 | 85345 | 85352 | 85358 | 85364 |
714 | 85370 | 85376 | 85382 | 85388 | 85394 | 85400 | 85406 | 85412 | 85418 | 85425 |
715 | 85431 | 85437 | 85443 | 85449 | 85455 | 85461 | 85467 | 85473 | 85479 | 85485 |
716 | 85491 | 85497 | 85503 | 85509 | 85516 | 85522 | 85528 | 85534 | 85540 | 85546 |
717 | 85552 | 85558 | 85564 | 85570 | 85576 | 85582 | 85588 | 85594 | 85600 | 85606 |
718 | 85612 | 85618 | 85625 | 85631 | 85637 | 85643 | 85649 | 85655 | 85661 | 85667 |
719 | 85673 | 85679 | 85685 | 85691 | 85697 | 85703 | 85709 | 85715 | 85721 | 85727 |
720 | 85733 | 85739 | 85745 | 85751 | 85757 | 85763 | 85769 | 85775 | 85781 | 85788 |
721 | 85794 | 85800 | 85806 | 85812 | 85818 | 85824 | 85830 | 85836 | 85842 | 85848 |
722 | 85854 | 85860 | 85866 | 85872 | 85878 | 85884 | 85890 | 85896 | 85902 | 85908 |
723 | 85914 | 85920 | 85926 | 85932 | 85938 | 85944 | 85950 | 85956 | 85962 | 85968 |
724 | 85974 | 85980 | 85986 | 85992 | 85998 | 86004 | 86010 | 86016 | 86022 | 86028 |
725 | 86034 | 86040 | 86046 | 86052 | 86058 | 86064 | 86070 | 86076 | 86082 | 86088 |
726 | 86094 | 86100 | 86106 | 86112 | 86118 | 86124 | 86130 | 86136 | 86141 | 86147 |
727 | 86153 | 86159 | 86165 | 86171 | 86177 | 86183 | 86189 | 86195 | 86201 | 86207 |
728 | 86213 | 86219 | 86225 | 86231 | 86237 | 86243 | 86249 | 86255 | 86261 | 86267 |
729 | 86273 | 86279 | 86285 | 86291 | 86297 | 86303 | 86308 | 86314 | 86320 | 86326 |
730 | 86332 | 86338 | 86344 | 86350 | 86356 | 86362 | 86368 | 86374 | 86380 | 86386 |
731 | 86392 | 86398 | 86404 | 86410 | 86415 | 86421 | 86427 | 86433 | 86439 | 86445 |
732 | 86451 | 86457 | 86463 | 86469 | 86475 | 86481 | 86487 | 86493 | 86499 | 86504 |
733 | 86510 | 86516 | 86522 | 86528 | 86534 | 86540 | 86546 | 86552 | 86558 | 86564 |
734 | 86570 | 86576 | 86581 | 86587 | 86593 | 86599 | 86605 | 86611 | 86617 | 86623 |
735 | 86629 | 86635 | 86641 | 86646 | 86652 | 86658 | 86664 | 86670 | 86676 | 86682 |
736 | 86688 | 86694 | 86700 | 86705 | 86711 | 86717 | 86723 | 86729 | 86735 | 86741 |
737 | 86747 | 86753 | 86759 | 86764 | 86770 | 86776 | 86782 | 86788 | 86794 | 86800 |
738 | 86806 | 86812 | 86817 | 86823 | 86829 | 86835 | 86841 | 86847 | 86853 | 86859 |
739 | 86864 | 86870 | 86876 | 86882 | 86888 | 86894 | 86900 | 86906 | 86911 | 86917 |
740 | 86923 | 86929 | 86935 | 86941 | 86947 | 86953 | 86958 | 86964 | 86970 | 86976 |
741 | 86982 | 86988 | 86994 | 86999 | 87005 | 87011 | 87017 | 87023 | 87029 | 87035 |
742 | 87040 | 87046 | 87052 | 87058 | 87064 | 87070 | 87075 | 87081 | 87087 | 87093 |
743 | 87099 | 87105 | 87111 | 87116 | 87122 | 87128 | 87134 | 87140 | 87146 | 87151 |
744 | 87157 | 87163 | 87169 | 87175 | 87181 | 87186 | 87192 | 87198 | 87204 | 87210 |
745 | 87216 | 87221 | 87227 | 87233 | 87239 | 87245 | 87251 | 87256 | 87262 | 87268 |
746 | 87274 | 87280 | 87286 | 87291 | 87297 | 87303 | 87309 | 87315 | 87320 | 87326 |
747 | 87332 | 87338 | 87344 | 87349 | 87355 | 87361 | 87367 | 87373 | 87379 | 87384 |
748 | 87390 | 87396 | 87402 | 87408 | 87413 | 87419 | 87425 | 87431 | 87437 | 87442 |
749 | 87448 | 87454 | 87460 | 87466 | 87471 | 87477 | 87483 | 87489 | 87495 | 87500 |
750 | 87506 | 87512 | 87518 | 87523 | 87529 | 87535 | 87541 | 87547 | 87552 | 87558 |
751 | 87564 | 87570 | 87576 | 87581 | 87587 | 87593 | 87599 | 87604 | 87610 | 87616 |
752 | 87622 | 87628 | 87633 | 87639 | 87645 | 87651 | 87656 | 87662 | 87668 | 87674 |
753 | 87679 | 87685 | 87691 | 87697 | 87703 | 87708 | 87714 | 87720 | 87726 | 87731 |
754 | 87737 | 87743 | 87749 | 87754 | 87760 | 87766 | 87772 | 87777 | 87783 | 87789 |
755 | 87795 | 87800 | 87806 | 87812 | 87818 | 87823 | 87829 | 87835 | 87841 | 87846 |
756 | 87852 | 87858 | 87864 | 87869 | 87875 | 87881 | 87887 | 87892 | 87898 | 87904 |
757 | 87910 | 87915 | 87921 | 87927 | 87933 | 87938 | 87944 | 87950 | 87955 | 87961 |
758 | 87967 | 87973 | 87978 | 87984 | 87990 | 87996 | 88001 | 88007 | 88013 | 88018 |
759 | 87024 | 88030 | 88036 | 88041 | 88047 | 88053 | 88058 | 88064 | 88070 | 88076 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 103
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 7600—8200. | Log. 88081—91381. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
760 | 88081 | 88087 | 88093 | 88098 | 88104 | 88110 | 88116 | 88121 | 88127 | 88133 |
761 | 88138 | 88144 | 88150 | 88156 | 88161 | 88167 | 88173 | 88178 | 88184 | 88190 |
762 | 88195 | 88201 | 88207 | 88213 | 68218 | 88224 | 88230 | 88235 | 88241 | 88247 |
763 | 88252 | 88258 | 88264 | 88270 | 88275 | 88281 | 88287 | 88292 | 88298 | 88304 |
764 | 88309 | 88315 | 88321 | 88326 | 88332 | 88338 | 88343 | 88349 | 88355 | 88360 |
765 | 88366 | 88372 | 88377 | 88383 | 88389 | 88395 | 88400 | 88406 | 88412 | 88417 |
766 | 88423 | 88429 | 88434 | 88440 | 88446 | 88451 | 88457 | 88463 | 88468 | 88474 |
767 | 88480 | 88485 | 88491 | 88497 | 88502 | 88508 | 88513 | 88519 | 88525 | 88530 |
768 | 88536 | 88542 | 88547 | 88553 | 88559 | 88564 | 88570 | 88576 | 88581 | 88587 |
769 | 88593 | 88598 | 88604 | 88610 | 88615 | 88621 | 88627 | 88632 | 88638 | 88643 |
770 | 88649 | 88655 | 88660 | 88666 | 88672 | 88677 | 88683 | 88689 | 88694 | 88700 |
771 | 88705 | 88711 | 88717 | 88722 | 88728 | 88734 | 88739 | 88745 | 88750 | 88756 |
772 | 88762 | 88767 | 88773 | 88779 | 88784 | 88790 | 88795 | 88801 | 88807 | 88812 |
773 | 88818 | 88824 | 88829 | 88835 | 88840 | 88846 | 88852 | 88857 | 88863 | 88868 |
774 | 88874 | 88880 | 88885 | 88891 | 88897 | 88902 | 88908 | 88913 | 88919 | 88925 |
775 | 88930 | 88936 | 88941 | 88947 | 88953 | 88958 | 88964 | 88969 | 88975 | 88981 |
776 | 88986 | 88992 | 88997 | 89003 | 89009 | 89014 | 89020 | 89025 | 89031 | 89037 |
777 | 89042 | 89048 | 89053 | 89059 | 89064 | 89070 | 89076 | 89081 | 89087 | 89092 |
778 | 89098 | 69104 | 89109 | 89115 | 89120 | 89126 | 89131 | 89137 | 89143 | 89148 |
779 | 89154 | 89159 | 89165 | 89170 | 89176 | 89182 | 89187 | 89193 | 89198 | 89204 |
780 | 89209 | 89215 | 89221 | 89226 | 89232 | 89237 | 89243 | 89248 | 89254 | 89260 |
781 | 89265 | 89271 | 89276 | 89282 | 89287 | 89293 | 89298 | 89304 | 89310 | 89315 |
782 | 89321 | 89326 | 89332 | 89337 | 89343 | 89348 | 89354 | 89360 | 89365 | 89371 |
783 | 89376 | 89382 | 89387 | 89393 | 89398 | 89404 | 89409 | 89415 | 89421 | 89426 |
784 | 89432 | 89437 | 89443 | 89448 | 89454 | 89459 | 89465 | 89470 | 89476 | 89481 |
785 | 89487 | 89492 | 89498 | 89504 | 89509 | 89515 | 89520 | 89526 | 89531 | 89537 |
786 | 89542 | 89548 | 89553 | 89559 | 89564 | 89570 | 89575 | 89581 | 89586 | 89592 |
787 | 89597 | 89603 | 89609 | 89614 | 89620 | 89625 | 89631 | 89636 | 89642 | 89647 |
788 | 89653 | 89658 | 89664 | 89669 | 89675 | 89680 | 89686 | 89691 | 89697 | 89702 |
789 | 89708 | 89713 | 89719 | 89724 | 89730 | 89735 | 89741 | 89746 | 89752 | 89757 |
790 | 89763 | 89768 | 89774 | 89779 | 89785 | 89790 | 89796 | 89801 | 89807 | 89812 |
791 | 89818 | 89823 | 89829 | 89834 | 89840 | 89845 | 89851 | 89856 | 89862 | 89867 |
792 | 89873 | 89878 | 89883 | 89889 | 89894 | 89900 | 89905 | 89911 | 89916 | 89922 |
793 | 89927 | 89933 | 89938 | 89944 | 89949 | 89955 | 89960 | 89966 | 89971 | 89977 |
794 | 89982 | 89988 | 89993 | 89998 | 90004 | 90009 | 90015 | 90020 | 90026 | 90031 |
795 | 90037 | 90042 | 90048 | 90053 | 90059 | 90064 | 90069 | 90075 | 90080 | 90086 |
796 | 90091 | 90097 | 90102 | 90108 | 90113 | 90119 | 90124 | 90129 | 90135 | 90140 |
797 | 90146 | 90151 | 90157 | 90162 | 90168 | 90173 | 90179 | 90184 | 90189 | 90195 |
798 | 90200 | 90206 | 90211 | 90217 | 90222 | 90227 | 90233 | 90238 | 90244 | 90249 |
799 | 90255 | 90260 | 90266 | 90271 | 90276 | 90282 | 90287 | 90293 | 90298 | 90304 |
800 | 90309 | 90314 | 90320 | 90325 | 90331 | 90336 | 90342 | 90347 | 90352 | 90358 |
801 | 90363 | 90369 | 90374 | 90380 | 90385 | 90390 | 90396 | 90401 | 90407 | 90412 |
802 | 90417 | 90423 | 90428 | 90434 | 90439 | 90445 | 90450 | 90455 | 90461 | 90466 |
803 | 90472 | 90477 | 90482 | 90488 | 90493 | 90499 | 90504 | 90509 | 90515 | 90520 |
804 | 90526 | 90531 | 90536 | 90542 | 90547 | 90553 | 90558 | 90563 | 90569 | 90574 |
805 | 90580 | 90585 | 90590 | 90596 | 90601 | 90607 | 90612 | 90617 | 90623 | 90628 |
806 | 90634 | 90639 | 90644 | 90650 | 90655 | 90660 | 90666 | 90671 | 90677 | 90682 |
807 | 90687 | 90693 | 90698 | 90703 | 90709 | 90714 | 90720 | 90725 | 90730 | 90736 |
808 | 90741 | 90747 | 90752 | 90757 | 90763 | 90768 | 90773 | 90779 | 90784 | 90789 |
809 | 90795 | 90800 | 90806 | 90811 | 90816 | 90822 | 90827 | 90832 | 90838 | 90843 |
810 | 90849 | 90854 | 90859 | 90865 | 90870 | 90875 | 90881 | 90886 | 90891 | 90897 |
811 | 90902 | 90907 | 90913 | 90918 | 90924 | 90929 | 90934 | 90940 | 90945 | 90950 |
812 | 90956 | 90961 | 90966 | 90972 | 90977 | 90982 | 90988 | 90993 | 90998 | 91004 |
813 | 91009 | 91014 | 91020 | 91025 | 91030 | 91036 | 91041 | 91046 | 91052 | 91057 |
814 | 91062 | 91068 | 91073 | 91078 | 91084 | 91089 | 91094 | 91100 | 91105 | 91110 |
815 | 91116 | 91121 | 91126 | 91132 | 91137 | 91142 | 91148 | 91153 | 91158 | 91164 |
816 | 91169 | 91174 | 91180 | 91185 | 91190 | 91196 | 91201 | 91206 | 91212 | 91217 |
817 | 91222 | 91228 | 91233 | 91238 | 91243 | 91249 | 91254 | 91259 | 91265 | 91270 |
818 | 91275 | 91281 | 91286 | 91291 | 91297 | 91302 | 91307 | 91312 | 91318 | 91323 |
819 | 91328 | 91334 | 91339 | 91344 | 91350 | 91355 | 91360 | 91365 | 91371 | 91376 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 104
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 8200—8800. | Log. 91381—94448. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
820 | 91381 | 91387 | 91392 | 91397 | 91403 | 91408 | 91413 | 91418 | 91424 | 91429 |
821 | 91434 | 91440 | 91445 | 91450 | 91455 | 91461 | 91466 | 91471 | 91477 | 91482 |
822 | 91487 | 91492 | 91498 | 91503 | 91508 | 91514 | 91519 | 91524 | 91529 | 91535 |
823 | 91540 | 91545 | 91551 | 91556 | 91561 | 91566 | 91572 | 91577 | 91582 | 91587 |
824 | 91593 | 91598 | 91603 | 91609 | 91614 | 91619 | 91624 | 91630 | 91635 | 91640 |
825 | 91645 | 91651 | 91656 | 91661 | 91666 | 91672 | 91677 | 91682 | 91687 | 91693 |
826 | 91698 | 91703 | 91709 | 91714 | 91719 | 91724 | 91730 | 91735 | 91740 | 91745 |
827 | 91751 | 91756 | 91761 | 91766 | 91772 | 91777 | 91782 | 91787 | 91793 | 91798 |
828 | 91803 | 91808 | 91814 | 91819 | 91824 | 91829 | 91834 | 91840 | 91845 | 91850 |
829 | 91855 | 91861 | 91866 | 91871 | 91876 | 91882 | 91887 | 91892 | 91845 | 91903 |
830 | 91908 | 91913 | 91918 | 91924 | 91929 | 91934 | 91939 | 91944 | 91950 | 91955 |
831 | 91960 | 91965 | 91971 | 91976 | 91981 | 91986 | 91991 | 91997 | 92002 | 92007 |
832 | 92012 | 92018 | 92023 | 92028 | 92033 | 92038 | 92044 | 92049 | 92054 | 92059 |
833 | 92065 | 92070 | 92075 | 92080 | 92085 | 92091 | 92096 | 92101 | 92106 | 92111 |
834 | 92117 | 92122 | 92127 | 92132 | 92137 | 92143 | 92148 | 92153 | 92158 | 92163 |
835 | 92169 | 92174 | 92179 | 92184 | 92189 | 92195 | 92200 | 92205 | 92210 | 92215 |
836 | 92221 | 92226 | 92231 | 92236 | 92241 | 92247 | 92252 | 92257 | 92262 | 92267 |
837 | 92273 | 92278 | 92283 | 92288 | 92293 | 92298 | 92304 | 92309 | 92314 | 92319 |
838 | 92324 | 92330 | 92335 | 92340 | 92345 | 92350 | 92355 | 92361 | 92366 | 92371 |
839 | 92376 | 92381 | 92387 | 92392 | 92397 | 92402 | 92407 | 92412 | 92418 | 92423 |
840 | 92428 | 92433 | 92438 | 92443 | 92449 | 92454 | 92459 | 92464 | 92469 | 92474 |
841 | 92480 | 92485 | 92490 | 92495 | 92500 | 92505 | 92511 | 92516 | 92521 | 92526 |
842 | 92531 | 92536 | 92542 | 92547 | 92552 | 92557 | 92562 | 92567 | 92572 | 92578 |
843 | 92583 | 92588 | 92593 | 92598 | 92603 | 92609 | 92614 | 92619 | 92624 | 92629 |
844 | 92634 | 92639 | 92645 | 92650 | 92655 | 92660 | 92665 | 92670 | 92675 | 92681 |
845 | 92686 | 92691 | 92696 | 92701 | 92706 | 92711 | 92716 | 92722 | 92727 | 92732 |
846 | 92737 | 92742 | 92747 | 92752 | 92758 | 92763 | 92768 | 92773 | 92778 | 92783 |
847 | 92788 | 92793 | 92799 | 92804 | 92809 | 92814 | 92819 | 92824 | 92829 | 92834 |
848 | 92840 | 92845 | 92850 | 92855 | 92860 | 92865 | 92870 | 92875 | 92881 | 92886 |
849 | 92891 | 92896 | 92901 | 92906 | 92911 | 92916 | 92921 | 92927 | 92932 | 92937 |
850 | 92942 | 92947 | 92952 | 92957 | 92962 | 92967 | 92973 | 92978 | 92983 | 92988 |
851 | 92993 | 92998 | 93003 | 93008 | 93013 | 93018 | 93024 | 93029 | 93034 | 93039 |
852 | 93044 | 93049 | 93054 | 93059 | 93064 | 93069 | 93075 | 93080 | 93085 | 93090 |
853 | 93095 | 93100 | 93105 | 93110 | 93120 | 93120 | 93120 | 93131 | 93136 | 93141 |
854 | 93146 | 93151 | 93156 | 93161 | 93166 | 93171 | 93171 | 93181 | 93186 | 93192 |
855 | 93197 | 93202 | 93207 | 93212 | 93217 | 93222 | 93227 | 93232 | 93232 | 93244 |
856 | 93247 | 93252 | 93258 | 93263 | 93268 | 93273 | 93278 | 93283 | 93283 | 93293 |
857 | 93298 | 93303 | 93308 | 93313 | 93318 | 93323 | 93328 | 93334 | 93339 | 93344 |
858 | 93349 | 93354 | 93359 | 93364 | 93369 | 93374 | 93379 | 93384 | 93389 | 93394 |
859 | 93399 | 93404 | 93409 | 93414 | 93420 | 93425 | 93430 | 93430 | 93440 | 93445 |
860 | 93450 | 93455 | 93460 | 93465 | 93470 | 93475 | 93480 | 93485 | 93490 | 93495 |
861 | 93500 | 93505 | 93510 | 93515 | 93520 | 93526 | 93531 | 93536 | 93541 | 93546 |
862 | 93551 | 93556 | 93561 | 93566 | 93571 | 93576 | 93581 | 93586 | 93591 | 93596 |
863 | 93601 | 93606 | 93611 | 93616 | 93621 | 93626 | 93631 | 93636 | 93641 | 93646 |
864 | 93651 | 93656 | 93661 | 93666 | 93671 | 93676 | 93682 | 93687 | 93692 | 93697 |
865 | 93702 | 93707 | 93712 | 93717 | 93722 | 93727 | 93732 | 93737 | 93742 | 93747 |
866 | 93752 | 93757 | 93762 | 93767 | 93772 | 93777 | 93782 | 93787 | 93792 | 93797 |
867 | 93802 | 93807 | 93812 | 93817 | 93822 | 93827 | 93832 | 93837 | 93842 | 93847 |
868 | 93852 | 93857 | 93862 | 93867 | 93872 | 93877 | 93882 | 93887 | 93892 | 93897 |
869 | 93902 | 93907 | 93912 | 93917 | 93922 | 93927 | 93932 | 93937 | 93942 | 93947 |
870 | 93952 | 93957 | 93962 | 93967 | 93972 | 93977 | 93982 | 93987 | 93992 | 93997 |
871 | 94002 | 94007 | 94012 | 94017 | 94022 | 94027 | 94032 | 94037 | 94042 | 94047 |
872 | 94052 | 94057 | 94062 | 94067 | 94072 | 94077 | 94082 | 94086 | 94091 | 94096 |
873 | 94101 | 94106 | 94111 | 94116 | 94121 | 94126 | 94131 | 94136 | 94141 | 94146 |
874 | 94151 | 94156 | 94161 | 94166 | 94171 | 94176 | 94181 | 94186 | 94191 | 94196 |
875 | 94201 | 94206 | 94211 | 94216 | 94221 | 94226 | 94231 | 94236 | 94240 | 94245 |
876 | 94250 | 94255 | 94260 | 94265 | 94270 | 94275 | 94280 | 94285 | 94290 | 94295 |
877 | 94300 | 94305 | 94310 | 94315 | 94320 | 94325 | 94330 | 94335 | 94340 | 94345 |
878 | 94349 | 94354 | 94359 | 94364 | 94369 | 94374 | 94379 | 94384 | 94389 | 94394 |
879 | 94399 | 94404 | 94409 | 94414 | 94419 | 94424 | 94429 | 94433 | 94438 | 94443 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 105
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 8800—9400. | Log. 94448—97313. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
880 | 94448 | 94453 | 94458 | 94463 | 94468 | 94473 | 94478 | 94483 | 94488 | 94493 |
881 | 94498 | 94503 | 94507 | 94512 | 94517 | 94522 | 94527 | 94532 | 94537 | 94542 |
882 | 94547 | 94552 | 94557 | 94562 | 94567 | 94571 | 94576 | 94581 | 94586 | 94591 |
883 | 94596 | 94601 | 94606 | 94611 | 94616 | 94621 | 94626 | 94630 | 94635 | 94640 |
884 | 94645 | 94650 | 94655 | 94660 | 94665 | 94670 | 94675 | 94680 | 94685 | 94689 |
885 | 94694 | 94699 | 94704 | 94709 | 94714 | 94719 | 94724 | 94729 | 94734 | 94738 |
886 | 94743 | 94748 | 94753 | 94758 | 94763 | 94768 | 94773 | 94778 | 94783 | 94787 |
887 | 94792 | 94797 | 94802 | 94807 | 94812 | 94817 | 94822 | 94827 | 94832 | 94836 |
888 | 94841 | 94846 | 94851 | 94856 | 94861 | 94866 | 9487I | 94876 | 94880 | 94885 |
889 | 94890 | 94895 | 94900 | 94905 | 94910 | 94915 | 94919 | 94924 | 94929 | 94934 |
890 | 94939 | 94944 | 94949 | 94954 | 94959 | 94963 | 94968 | 94973 | 94978 | 94983 |
891 | 94988 | 94993 | 94998 | 95002 | 95007 | 95012 | 95017 | 95022 | 95027 | 95032 |
892 | 95036 | 95041 | 95046 | 95051 | 95056 | 95061 | 95066 | 95071 | 95075 | 95080 |
893 | 95085 | 95090 | 95095 | 95100 | 95105 | 95109 | 95114 | 95119 | 95124 | 95129 |
894 | 95134 | 95139 | 95143 | 95148 | 95153 | 95158 | 95163 | 95168 | 95173 | 95177 |
895 | 95182 | 95187 | 95192 | 95197 | 95202 | 95207 | 95211 | 95216 | 95221 | 95226 |
896 | 95231 | 95236 | 91240 | 95245 | 95250 | 95255 | 95260 | 95265 | 95270 | 95274 |
897 | 95279 | 95284 | 95289 | 95294 | 95299 | 95303 | 95308 | 95313 | 95318 | 95323 |
898 | 95328 | 95332 | 95337 | 95342 | 95347 | 95352 | 95357 | 95361 | 95366 | 95371 |
899 | 95376 | 95381 | 95386 | 95390 | 95395 | 95400 | 95405 | 95410 | 95415 | 95419 |
900 | 95424 | 95429 | 95434 | 95439 | 95444 | 95448 | 95453 | 95458 | 95463 | 95468 |
901 | 95472 | 95477 | 95482 | 95487 | 95492 | 95497 | 95501 | 95506 | 95511 | 95516 |
902 | 95521 | 95525 | 95530 | 95535 | 95540 | 95545 | 95550 | 95554 | 95559 | 95564 |
903 | 95569 | 95574 | 95578 | 95583 | 95588 | 95593 | 95598 | 95602 | 95607 | 95612 |
904 | 95617 | 95622 | 95626 | 95631 | 95636 | 95641 | 95646 | 95650 | 95655 | 95660 |
905 | 95665 | 95670 | 95674 | 95679 | 95684 | 95689 | 95694 | 95698 | 95703 | 95708 |
906 | 95713 | 95718 | 95722 | 95727 | 95732 | 95737 | 95742 | 95746 | 95751 | 95756 |
907 | 95761 | 95766 | 95770 | 95775 | 95780 | 95785 | 95789 | 95794 | 95799 | 95804 |
908 | 95809 | 95813 | 95818 | 95823 | 95828 | 95832 | 95837 | 95842 | 95847 | 95852 |
909 | 95856 | 95861 | 95866 | 95871 | 95875 | 95880 | 95885 | 95890 | 95895 | 95899 |
910 | 95904 | 95909 | 95914 | 95918 | 95923 | 95928 | 95933 | 95938 | 95942 | 95947 |
911 | 95952 | 95957 | 95961 | 95966 | 95971 | 95976 | 95980 | 95985 | 95990 | 95995 |
912 | 95999 | 96004 | 96009 | 96014 | 96019 | 96023 | 96028 | 96033 | 96038 | 96042 |
913 | 96047 | 96052 | 96057 | 96061 | 96066 | 96071 | 96076 | 96080 | 96085 | 96090 |
914 | 96095 | 96099 | 96104 | 96109 | 96114 | 96118 | 96123 | 96128 | 96133 | 96137 |
915 | 96142 | 96147 | 96152 | 96156 | 96161 | 96166 | 96171 | 96175 | 96180 | 96185 |
916 | 96190 | 96194 | 96199 | 96204 | 96209 | 96213 | 96218 | 96223 | 96227 | 96232 |
917 | 96237 | 96242 | 96246 | 96251 | 96256 | 96261 | 96265 | 96270 | 96278 | 96280 |
918 | 96284 | 96289 | 96294 | 96298 | 96303 | 96308 | 96313 | 96317 | 96322 | 96327 |
919 | 96332 | 96336 | 96341 | 96346 | 96350 | 96355 | 96360 | 96365 | 96369 | 96374 |
920 | 96379 | 96384 | 96388 | 96393 | 96398 | 96402 | 96407 | 96412 | 96417 | 96421 |
921 | 96426 | 96431 | 96435 | 96440 | 96445 | 96450 | 96454 | 96459 | 96464 | 96468 |
922 | 96473 | 96478 | 96483 | 96487 | 96492 | 96497 | 96501 | 96506 | 96511 | 96515 |
923 | 96520 | 96525 | 96530 | 96534 | 96539 | 96544 | 96548 | 96553 | 96558 | 96562 |
924 | 96567 | 96572 | 96577 | 96581 | 96586 | 96591 | 96595 | 96600 | 96605 | 96609 |
925 | 96614 | 96619 | 96624 | 96628 | 96633 | 96638 | 96642 | 96647 | 96652 | 96656 |
926 | 96661 | 96666 | 96670 | 96675 | 96680 | 96685 | 96689 | 96694 | 96699 | 96703 |
927 | 96708 | 96715 | 96717 | 96722 | 96727 | 96731 | 96736 | 96741 | 96745 | 96750 |
928 | 96753 | 96759 | 96764 | 96769 | 96774 | 96778 | 96783 | 96788 | 96792 | 96797 |
929 | 96802 | 96806 | 96811 | 96816 | 96820 | 96825 | 96830 | 96834 | 96839 | 96844 |
930 | 96848 | 96853 | 96858 | 96862 | 96867 | 96872 | 96876 | 96881 | 96886 | 96890 |
931 | 96895 | 96900 | 96904 | 96909 | 96914 | 96918 | 96923 | 96928 | 96932 | 96937 |
932 | 96942 | 96946 | 96951 | 96956 | 96960 | 96965 | 96970 | 96974 | 96979 | 96984 |
933 | 96988 | 96993 | 96997 | 97002 | 97007 | 97011 | 97016 | 97021 | 97025 | 97030 |
934 | 97035 | 97039 | 97044 | 97049 | 97053 | 97058 | 97063 | 97067 | 97072 | 97077 |
935 | 97081 | 97086 | 97090 | 97095 | 97100 | 97104 | 97109 | 97114 | 97118 | 97123 |
936 | 97128 | 97132 | 97137 | 97142 | 97146 | 97151 | 97155 | 97160 | 97165 | 97169 |
937 | 97174 | 97179 | 97183 | 97188 | 97192 | 97197 | 97202 | 97206 | 97211 | 97216 |
938 | 97220 | 97225 | 97230 | 97234 | 97239 | 97243 | 97248 | 97253 | 97257 | 97262 |
939 | 97267 | 97271 | 97276 | 97280 | 97285 | 97290 | 97294 | 97299 | 97304 | 97308 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
O
[page] 106
TABLE XVIII. Logarithms of Numbers. | ||||||||||
N° 9400—10000. | Log. 97313—99996. | |||||||||
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
940 | 97313 | 97317 | 97322 | 97327 | 97331 | 97336 | 97340 | 97345 | 97350 | 97354 |
941 | 97359 | 97364 | 97368 | 97373 | 97377 | 97382 | 97387 | 97391 | 97396 | 97400 |
942 | 97405 | 97410 | 97414 | 97419 | 97424 | 97428 | 97433 | 97437 | 97442 | 97447 |
943 | 97451 | 97456 | 97460 | 97465 | 97470 | 97474 | 97479 | 97483 | 97488 | 97493 |
944 | 97497 | 97502 | 97506 | 97511 | 97516 | 97520 | 97525 | 97529 | 97534 | 97539 |
945 | 97543 | 97548 | 97552 | 97557 | 97562 | 97566 | 97571 | 97575 | 97580 | 97585 |
946 | 97589 | 97594 | 97598 | 97603 | 97607 | 97612 | 97617 | 97621 | 97626 | 97630 |
947 | 97635 | 97640 | 97644 | 97649 | 97653 | 97658 | 97663 | 97667 | 97672 | 97676 |
948 | 97681 | 97685 | 97690 | 97695 | 97699 | 97704 | 97708 | 97713 | 97717 | 97722 |
949 | 97727 | 97731 | 97736 | 97740 | 97745 | 97749 | 97754 | 97759 | 97763 | 97768 |
950 | 97772 | 97777 | 97782 | 97786 | 97791 | 97795 | 97800 | 97804 | 97809 | 97813 |
951 | 97818 | 97823 | 97827 | 97832 | 97836 | 97841 | 97845 | 97850 | 97855 | 97859 |
952 | 97864 | 97868 | 97873 | 97877 | 97882 | 97886 | 97891 | 97896 | 97900 | 97905 |
953 | 97909 | 97914 | 97918 | 97923 | 97928 | 97932 | 97937 | 97941 | 97946 | 97950 |
954 | 97955 | 97959 | 97964 | 97968 | 97973 | 97978 | 97982 | 97987 | 97991 | 97996 |
955 | 98000 | 98005 | 98009 | 98014 | 98019 | 98023 | 98028 | 98032 | 98037 | 98041 |
956 | 98046 | 98050 | 98055 | 98059 | 98064 | 98068 | 98073 | 98078 | 98082 | 98087 |
957 | 98091 | 98096 | 98100 | 98105 | 98109 | 98114 | 98118 | 98123 | 98127 | 98132 |
958 | 98137 | 98141 | 98146 | 98150 | 98155 | 98l59 | 98164 | 98168 | 98173 | 98177 |
959 | 98182 | 98186 | 98191 | 98195 | 98200 | 98204 | 98209 | 98214 | 98218 | 98223 |
960 | 98227 | 98232 | 98236 | 98241 | 98245 | 98250 | 98254 | 98259 | 98263 | 98268 |
961 | 98272 | 98277 | 98281 | 98286 | 98290 | 98295 | 98299 | 98304 | 98308 | 98313 |
962 | 98318 | 98322 | 98327 | 98331 | 98336 | 98340 | 98345 | 98349 | 98354 | 98358 |
963 | 98363 | 98367 | 98372 | 98376 | 98381 | 98385 | 98390 | 98394 | 98399 | 98403 |
964 | 98408 | 98412 | 98417 | 98421 | 98426 | 98430 | 98435 | 98439 | 98444 | 98448 |
965 | 98453 | 98457 | 98462 | 98466 | 98471 | 98475 | 98480 | 98484 | 98489 | 98493 |
966 | 98498 | 98502 | 98507 | 98511 | 98516 | 98520 | 98525 | 98529 | 98534 | 98538 |
967 | 98543 | 98547 | 98552 | 98556 | 98561 | 98565 | 98570 | 98574 | 98579 | 98583 |
968 | 98588 | 98592 | 98597 | 98601 | 98605 | 98610 | 98614 | 98619 | 98623 | 98628 |
969 | 98632 | 98637 | 98641 | 98646 | 98650 | 98655 | 98659 | 98664 | 98668 | 98673 |
970 | 98677 | 98682 | 98686 | 98691 | 98695 | 98700 | 98704 | 98709 | 98713 | 98717 |
971 | 98722 | 98726 | 98731 | 98735 | 98740 | 98744 | 98749 | 98753 | 98758 | 98762 |
972 | 98767 | 98771 | 98776 | 98780 | 98784 | 98789 | 98793 | 98798 | 98802 | 98807 |
973 | 98811 | 98816 | 98820 | 98825 | 98829 | 98834 | 98838 | 98843 | 98847 | 98851 |
974 | 98856 | 98860 | 98865 | 98869 | 98874 | 98878 | 98883 | 98887 | 98892 | 98896 |
975 | 98900 | 98905 | 98909 | 98914 | 98918 | 98923 | 98927 | 98932 | 98936 | 98941 |
976 | 98945 | 98949 | 98954 | 98958 | 98963 | 98967 | 98972 | 98976 | 98981 | 98985 |
977 | 98989 | 98994 | 98998 | 99003 | 98007 | 99012 | 99016 | 99021 | 99025 | 99029 |
978 | 99034 | 99038 | 99043 | 99047 | 99052 | 99056 | 99061 | 99065 | 99069 | 99074 |
979 | 99078 | 99083 | 99087 | 99092 | 99096 | 99100 | 99105 | 99109 | 99114 | 99118 |
980 | 99123 | 99127 | 99131 | 99136 | 99140 | 99145 | 99149 | 99154 | 99158 | 99162 |
981 | 99167 | 99171 | 99176 | 99180 | 99185 | 99189 | 99193 | 99198 | 99202 | 99207 |
982 | 99211 | 99216 | 99220 | 99224 | 99229 | 99233 | 99238 | 99242 | 99247 | 99251 |
983 | 99255 | 99260 | 99264 | 99269 | 99273 | 99277 | 99282 | 99286 | 99291 | 99295 |
984 | 99300 | 99304 | 99308 | 99313 | 99317 | 99322 | 99326 | 99330 | 99335 | 99339 |
985 | 99344 | 99348 | 99352 | 99357 | 99361 | 99366 | 99370 | 99374 | 99379 | 99383 |
986 | 99388 | 99392 | 99396 | 99401 | 99405 | 99410 | 99414 | 99493 | 99423 | 99427 |
987 | 99432 | 99436 | 99441 | 99445 | 99449 | 99454 | 99458 | 99463 | 99467 | 99471 |
988 | 99476 | 99480 | 99484 | 99489 | 99493 | 99498 | 99502 | 99506 | 99511 | 99515 |
989 | 99520 | 99524 | 99528 | 99533 | 99537 | 99542 | 99546 | 99550 | 99555 | 99559 |
990 | 99564 | 99568 | 99572 | 99577 | 99581 | 99585 | 99590 | 99594 | 99599 | 99603 |
991 | 99607 | 99612 | 99616 | 99621 | 99625 | 99629 | 99634 | 99638 | 99642 | 99647 |
992 | 99651 | 99656 | 99660 | 99664 | 99669 | 99673 | 99677 | 99682 | 99686 | 99691 |
993 | 99695 | 99699 | 99704 | 99708 | 99712 | 99717 | 99721 | 99726 | 99730 | 99734 |
994 | 99739 | 99743 | 99747 | 99752 | 99756 | 99760 | 99765 | 99769 | 99774 | 99778 |
995 | 99782 | 99787 | 99791 | 99795 | 99800 | 99804 | 99808 | 99813 | 99817 | 99822 |
996 | 99826 | 99830 | 99835 | 99839 | 99843 | 99848 | 99852 | 99856 | 99861 | 99865 |
997 | 99870 | 99874 | 99878 | 99883 | 99887 | 99891 | 99896 | 99900 | 99904 | 99909 |
998 | 99913 | 99917 | 99922 | 99926 | 99930 | 99935 | 99939 | 99944 | 99948 | 99952 |
999 | 99957 | 99961 | 99965 | 99970 | 99974 | 99978 | 99983 | 99987 | 99991 | 99996 |
N° | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
[page] 107
LOGARITHMIC SINES, TANGENTS,
AND
O 2
[page] 108
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
0 Degree. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 0.00000·0 | 10.00000·0 | 00 | 10 | Infinite. | 0.00000 | Infinite. | 60 | |
1 | 6.46372·6 | 501717 | 10.00000·0 | 00 | 10.00000 | 13.53627 | 6.46373 | 13.53627 | 59 |
2 | 6.76475·6 | 293485 | 10.00000·0 | 00 | 10.00000 | 13.23524 | 6.76476 | 13.23524 | 58 |
3 | 6.94084·7 | 208231 | 10.00000·0 | 00 | 10.00000 | 13.05915 | 6.94085 | 13.05915 | 57 |
4 | 7.06578·6 | 161517 | 10.00000·0 | 00 | 10.00000 | 12.93421 | 7.06579 | 12.93421 | 56 |
5 | 7.16269·6 | 131968 | 10.00000·0 | 01 | 10.00000 | 12.83730 | 7.16270 | 12.83730 | 55 |
6 | 7.24187·7 | 111575 | 9.99999·9 | 00 | 10.00000 | 12.75812 | 7.24188 | 12.75812 | 54 |
7 | 7.30882·4 | 96653 | 9.99999·9 | 00 | 10.00000 | 12.69118 | 7.30882 | 12.69118 | 53 |
8 | 7.36681·6 | 85254 | 9.99999·9 | 00 | 10.00000 | 12.63318 | 7.36682 | 12.63318 | 52 |
9 | 7.41796·8 | 76263 | 9.99999·9 | 01 | 10.00000 | 12.58203 | 7.41797 | 12.58203 | 51 |
10 | 7.46372·6 | 68988 | 9.99999·8 | 00 | 10.00000 | 12.53627 | 7.46373 | 12.53627 | 50 |
11 | 7.50511·8 | 62981 | 9.99999·8 | 01 | 10.00000 | 12.49488 | 7.50512 | 12.49488 | 49 |
12 | 7.54290·6 | 57936 | 9.99999·7 | 00 | 10.00000 | 12.45709 | 7.54291 | 12.45709 | 48 |
13 | 7.57766·3 | 53641 | 9.99999·7 | 01 | 10.00000 | 12.42233 | 7.57767 | 12.42233 | 47 |
14 | 7.60985·3 | 49938 | 9.99999·6 | 00 | 10.00000 | 12.39015 | 7.60986 | 12.39014 | 46 |
15 | 7.63981·6 | 46714 | 9.99999·6 | 01 | 10.00000 | 12.36018 | 7.63982 | 12.36018 | 45 |
16 | 7.66784·5 | 43881 | 9.99999·5 | 00 | 10.00000 | 12.33216 | 7.66785 | 12.33215 | 44 |
17 | 7.69417·3 | 41372 | 9.99999·5 | 01 | 10.00001 | 12.30583 | 7.69418 | 12.30582 | 43 |
18 | 7.71899·7 | 39135 | 9.99999·4 | 01 | 10.00001 | 12.28100 | 7.71900 | 12.28100 | 42 |
19 | 7.74247·8 | 37127 | 9.99999·3 | 00 | 10.00001 | 12.25752 | 7.74248 | 12.25752 | 41 |
20 | 7.76475·4 | 35315 | 9.99999·3 | 01 | 10.00001 | 12.23525 | 7.76476 | 12.23524 | 40 |
21 | 7.78594·3 | 33672 | 9.99999·2 | 01 | 10.00001 | 12.21406 | 7.78595 | 12.21405 | 39 |
22 | 7.80614·6 | 32175 | 9.99999·1 | 01 | 10.00001 | 12.19385 | 7.80615 | 12.19385 | 38 |
23 | 7.82545·1 | 30805 | 9.99999·0 | 01 | 10.00001 | 12.17455 | 7.82546 | 12.17454 | 37 |
24 | 7.84393·4 | 29547 | 9.99998·9 | 00 | 10.00001 | 12.15607 | 7.84394 | 12.15606 | 36 |
25 | 7.86166·2 | 28388 | 9.99998·9 | 01 | 10.00001 | 12.13834 | 7.86167 | 12.13833 | 35 |
26 | 7.87869·5 | 27317 | 9.99998·8 | 01 | 10.00001 | 12.12130 | 7.87871 | 12.12129 | 34 |
27 | 7.89508·5 | 26323 | 9.99998·7 | 01 | 10.00001 | 12.10491 | 7.89510 | 12.10490 | 33 |
28 | 7.91087·9 | 25399 | 9.99998·6 | 01 | 10.00001 | 12.08912 | 7.91089 | 12.08911 | 32 |
29 | 7.92611·9 | 24538 | 9.99998·5 | 03 | 10.00002 | 12.07388 | 7.92613 | 12.07387 | 31 |
30 | 7.94084·2 | 23733 | 9.99998·3 | 01 | 10.00002 | 12.05916 | 7.94086 | 12.05914 | 30 |
31 | 7.95508·2 | 22980 | 9.99998·2 | 01 | 10.00002 | 12.04492 | 7.95510 | 12.04490 | 29 |
32 | 7.96887·0 | 22273 | 9.99998·1 | 01 | 10.00002 | 12.03113 | 7.96889 | 12.03111 | 28 |
33 | 7.98223·3 | 21608 | 9.99998·0 | 01 | 10.00002 | 12.01777 | 7.98225 | 12.01775 | 27 |
34 | 7.99519·8 | 20981 | 9.99997·9 | 03 | 10.00002 | 12.00480 | 7.99522 | 12.00478 | 26 |
35 | 8.00778·7 | 20390 | 9.99997·7 | 01 | 10.00002 | 11.99221 | 8.00781 | 11.99219 | 25 |
36 | 8.02002·1 | 19831 | 9.99997·6 | 01 | 10.00002 | 11.97998 | 8.02004 | 11.97996 | 24 |
37 | 8.03191·9 | 19302 | 9.99997·5 | 03 | 10.00003 | 11.96808 | 8.03194 | 11.96806 | 23 |
38 | 8.04350·1 | 18801 | 9.99997·3 | 01 | 10.00003 | 11.95650 | 8.04353 | 11.95647 | 22 |
39 | 8.05478·1 | 18325 | 9.99997·2 | 01 | 10.00003 | 11.94522 | 8.05481 | 11.94519 | 21 |
40 | 8.06577 6 | 17872 | 9.99997·1 | 03 | 10.00003 | 11.93422 | 8.06581 | 11.93419 | 20 |
41 | 8.07650·0 | 17441 | 9.99996·9 | 01 | 10.00003 | 11.92350 | 8.07653 | 11.92347 | 19 |
42 | 8.08696·5 | 17031 | 9.99996·8 | 03 | 10.00003 | 11.91304 | 8.08700 | 11.92347 | 18 |
43 | 8.09718·3 | 16639 | 9.99996·6 | 03 | 10.00003 | 11.90282 | 8.09722 | 11.90278 | 17 |
44 | 8.10716·7 | 16265 | 9.99996·4 | 01 | 10.00004 | 11.89283 | 8.10720 | 11.89280 | 16 |
45 | 8.11692·6 | 15908 | 9.99996·3 | 03 | 10.00004 | 11.88307 | 8.11696 | 11.88304 | 15 |
46 | 8.12647·1 | 15566 | 9.99996·1 | 03 | 10.00004 | 11.87353 | 8.12651 | 11.87349 | 14 |
47 | 8.13581·0 | 15238 | 9.99995·9 | 01 | 10.00004 | 11.86419 | 8.13585 | 11.86415 | 13 |
48 | 8.14495·3 | 14924 | 9.99995·8 | 03 | 10.00004 | 11.85505 | 8.13585 | 11.85500 | 12 |
49 | 8.15390·7 | 14622 | 9.99995·6 | 03 | 10.00004 | 11.84609 | 8.14500 | 11.84605 | 11 |
50 | 8.16268·1 | 14333 | 9.99995·4 | 03 | 10.00004 | 11.83732 | 8.15395 | 11.83727 | 10 |
51 | 8.17128·0 | 14054 | 9.99995·2 | 03 | 10.00005 | 11.82872 | 8.16273 | 11.82867 | 9 |
52 | 8.17971·3 | 13786 | 9.99995 0 | 03 | 10.00005 | 11.82029 | 8.17133 | 11.82024 | 8 |
53 | 8,18798.5 | 13529 | 9.99994·8 | 03 | 10.00005 | 11.80390 | 8.17976 | 11.81202 | 7 |
54 | 8.19610·2 | 13280 | 9.99994·6 | 03 | 10.00005 | 11.95930 | 8.19616 | 11.81196 | 6 |
55 | 8.20407·0 | 13041 | 9.99994·4 | 03 | 10.00006 | 11.78811 | 8.20413 | 11.80834 | 5 |
56 | 8.21189·5 | 12810 | 9.99994·2 | 03 | 10.00006 | 11.78042 | 8.21195 | 11.79587 | 4 |
57 | 8.21958·1 | 12587 | 9.99994·0 | 03 | 10.00006 | 11.77287 | 8.21964 | 11.78805 | 3 |
58 | 8.22713·4 | 12372 | 9.99993·8 | 03 | 10.00006 | 11.76544 | 8.22720 | 11.78036 | 2 |
59 | 8.23455·7 | 12164 | 9.99993 6 | 03 | 10.00006 | 11.75814 | 8.23462 | 11.78805 | 1 |
60 | 8.24185·5 | 9.99993 4 | 10.00007 | 11.76538 | 8.24192 | 11.75808 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
89 Degrees. |
[page] 109
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
1 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 8.24185·5 | 11963 | 9.99993·4. | 03 | 10.00007 | 11.75814 | 8.24192 | 11.75808 | 60 |
1 | 8.24903·3 | 11768 | 9.99993·2 | 05 | 10.00007 | 11.75097 | 8.24910 | 11.75090 | 59 |
2 | 8.25609·4 | 11580 | 9.99992·9 | 03 | 10.00007 | 11.74391 | 8.25616 | 11.74384 | 58 |
3 | 8.26304·2 | 11398 | 9.99992·7 | 03 | 10.00007 | 11.73696 | 8.26312 | 11.73688 | 57 |
4 | 8.26988·1 | 11221 | 9.99992·5 | 05 | 10.00008 | 11.73012 | 8.26996 | 11.73004 | 50 |
5 | 8.27661·4 | 11050 | 9.99992·2 | 03 | 10.00008 | 11.72339 | 8.27669 | 11.72331 | 55 |
6 | 8.28324·3 | 10883 | 9.99992·0 | 03 | 10.00008 | 11.71676 | 8.28332 | 11.71668 | 54 |
7 | 8.28977·3 | 10721 | 9.99991·8 | 05 | 10.00008 | 11.71023 | 8.28986 | 11.71014 | 53 |
8 | 8.29620·7 | 10565 | 9.99991·5 | 03 | 10.00008 | 11.70379 | 8.29629 | 11.70371 | 52 |
9 | 8.30254·6 | 10413 | 9.99991·3 | 05 | 10.00009 | 11.69745 | 8.30263 | 11.69737 | 51 |
10 | 8.30879·4 | 10266 | 9.99991·0 | 05 | 10.00009 | 11.69121 | 8.30888 | 11.69112 | 50 |
11 | 8.31495·4 | 10122 | 9.99990·7 | 03 | 10.00009 | 11.68505 | 8.31505 | 11.68495 | 49 |
12 | 8.32102·7 | 9982 | 9.99990·5 | 05 | 10.00010 | 11.67897 | 8.32112 | 11.67888 | 48 |
13 | 8.32701·6 | 9847 | 9.99990·2 | 05 | 10.00010 | 11.67298 | 8.32711 | 11.67289 | 47 |
14 | 8.33292·4 | 9714 | 9.99989·9 | 03 | 10.00010 | 11.66708 | 8.33302 | 11.66698 | 46 |
15 | 8.33875·3 | 9586 | 9.99989·7 | 05 | 10.00010 | 11.66125 | 8.33886 | 11.66114 | 45 |
16 | 8.34450·4 | 9460 | 9.99989·4 | 05 | 10.00011 | 11.65550 | 3.34461 | 11.65539 | 44 |
17 | 8.35018·1 | 9338 | 9.99989·1 | 05 | 10.00011 | 11.64982 | 8.35029 | 11.64971 | 43 |
18 | 8.35578·3 | 9219 | 9.99988·8 | 05 | 10.00011 | 11.64422 | 8.35590 | 11.64410 | 42 |
19 | 8.36131·5 | 9103 | 9.99988·5 | 05 | 10.00011 | 11.63869 | 8.36143 | 11.63857 | 41 |
20 | 8.36677·7 | 8990 | 9.99988·2 | 05 | 10.00012 | 11.63322 | 8.36689 | 11.63311 | 40 |
21 | 8.37217·1 | 8880 | 9.99987·9 | 05 | 10.00012 | 11.62783 | 8.37229 | 11.62771 | 39 |
22 | 8.37749·9 | 8772 | 9.99987·6 | 05 | 10.00012 | 11.62250 | 8.37762 | 11.62238 | 38 |
23 | 8.38276·2 | 8667 | 9.99987·3 | 05 | 10.00013 | 11.61724 | 8.38289 | 11.61711 | 37 |
24 | 8.38796·2 | 8564 | 9.99987·0 | 05 | 10.00013 | 11.61204 | 8.38809 | 11.61191 | 36 |
25 | 8.39310·1 | 8464 | 9.99986·7 | 05 | 10.00013 | 11.60696 | 8.39323 | 11.60677 | 35 |
26 | 8.39817·9 | 8366 | 9.99986·4 | 05 | 10.00014 | 11.60182 | 8.39832 | 11.60168 | 34 |
27 | 8.40319·9 | 8271 | 9.99986·1 | 05 | 10.00014 | 11.59680 | 8.40334 | 11.59666 | 33 |
28 | 8.40816·1 | 8177 | 9.99985·8 | 07 | 10.00014 | 11.59184 | 8.40830 | 11.59170 | 32 |
29 | 8.41306·8 | 8086 | 9.99985·4 | 05 | 10.00015 | 11.58693 | 8.41321 | 11.58679 | 31 |
30 | 8.41791·9 | 7996 | 9.99985·1 | 05 | 10.00015 | 11.58208 | 8.41807 | 11.58193 | 30 |
31 | 8.42271·7 | 7909 | 9.99984·8 | 07 | 10.00015 | 11.57728 | 8.42287 | 11.57713 | 29 |
32 | 8.42746·2 | 7823 | 9.99984·4 | 05 | 10.00016 | 11.57254 | 8.42762 | 11.57238 | 28 |
33 | 8.43215·6 | 7740 | 9.99984·1 | 05 | 10.00016 | 11.56784 | 8.43232 | 11.56768 | 27 |
34 | 8.43680·0 | 7657 | 9.99983·8 | 07 | 10.00016 | 11.56320 | 8.43696 | 11.56304 | 26 |
35 | 8.44139·4 | 7577 | 9.99983·4 | 05 | 10.00017 | 11.55861 | 8.44156 | 11.55844 | 25 |
36 | 8.44594·1 | 7499 | 9.99983·1 | 07 | 10.00017 | 11.55406 | 8.44611 | 11.55389 | 24 |
37 | 8.45044·0 | 7422 | 9.99982·7 | 05 | 10.00017 | 11.54956 | 8.45061 | 11.54939 | 23 |
38 | 8.45489·3 | 7436 | 9.99982·4 | 07 | 10.00018 | 11.54511 | 8.45507 | 11.54493 | 22 |
39 | 8.45930·1 | 7273 | 9.99982·0 | 07 | 10.00018 | 11.54070 | 8.45948 | 11.54052 | 21 |
40 | 8.46366·5 | 7200 | 9.99981·6 | 05 | 10.00018 | 11.53634 | 8.46385 | 11.53615 | 20 |
41 | 8.46798·5 | 7129 | 9.99981·3 | 07 | 10.000 19 | 11.53201 | 8.46817 | 11.53183 | 19 |
42 | 8.47226·3 | 7060 | 9.99980·9 | 07 | 10.00019 | 11.52774 | 8.47245 | 11.52755 | 18 |
43 | 8.47649·8 | 6991 | 9.99980·5 | 07 | 10.00019 | 11.52350 | 8.47669 | 11.52331 | 17 |
44 | 8.48069·3 | 6924 | 9.99980·1 | 07 | 10.00020 | 11.51931 | 8.48389 | 11.51911 | 16 |
45 | 8.48484·8 | 6859 | 9.99979·7 | 05 | 10.00020 | 11.51515 | 8.48505 | 11.51495 | 15 |
46 | 8.48896·3 | 6794 | 9.99979·4 | 07 | 10.00021 | 11.51104 | 8.48917 | 11.51083 | 14 |
47 | 8.49304·0 | 6731 | 9.99979·0 | 07 | 10.00021 | 11.50696 | 8.49325 | 11.50675 | 13 |
48 | 8.49707·8 | 6669 | 9.99978·6 | 07 | 10.00021 | 11.50292 | 8.49729 | 11.50271 | 12 |
49 | 8.50108·0 | 6608 | 9.99978·2 | 07 | 10.00022 | 11.49892 | 8.50130 | 11.49870 | 11 |
50 | 8.50504·5 | 6548 | 9.99977·8 | 07 | 10.00022 | 11.49496 | 8.50527 | 11.49473 | 10 |
51 | 8.50897·4 | 6489 | 9.99977·4 | 08 | 10.00023 | 11.49103 | 8.50920 | 11.49080 | 9 |
52 | 8.51286·7 | 6431 | 9.99976·9 | 07 | 10.00023 | 11.48713 | 8.51310 | 11.48690 | 8 |
53 | 8.51672·6 | 6375 | 9.99976·5 | 07 | 10.00023 | 11.48327 | 8.51696 | 11.48304 | 7 |
54 | 8.52055·1 | 6319 | 9.99976·1 | 07 | 10.00024 | 11.47945 | 8.52079 | 11.47921 | 6 |
55 | 8.52434·3 | 6264 | 9.99975·7 | 07 | 10.00024 | 11.47566 | 8.52459 | 11.47541 | 5 |
56 | 8.52810·2 | 6211 | 9.99975·3 | 08 | 10.00025 | 11.47190 | 8.52835 | 11.47165 | 4 |
57 | 8.53182·8 | 6158 | 9.99974·8 | 07 | 10.00025 | 11.46817 | 8.53208 | 11.46792 | 3 |
58 | 8.53552·3 | 6106 | 9.99974·4 | 07 | 10.00026 | 11.46448 | 8.53578 | 11.46422 | 2 |
59 | 8.53918·6 | 6055 | 9.99974·0 | 08 | 10.00026 | 11.46081 | 8.53945 | 11.46055 | 1 |
60 | 8.54281·9 | 9.99973·5 | 10.00026 | 11.45718 | 8.54308 | 11.45692 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
88 Degrees. |
[page] 110
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
2 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 8.54281·9 | 6004 | 9.99973·5 | 07 | 10.00026 | 11.45718 | 8.54308 | 11.45692 | 60 |
1 | 8.54642·2 | 5955 | 9.99973·1 | 08 | 10.00027 | 11.45358 | 8.54669 | 11.45331 | 59 |
2 | 8.54999·5 | 5906 | 9.99972·6 | 07 | 10.00027 | 11.45001 | 8.55027 | 11.44973 | 58 |
3 | 8.55353·9 | 5858 | 9.99972·2 | 08 | 10.00028 | 11.44646 | 8.55382 | 11.44618 | 57 |
4 | 8.55705·4 | 5811 | 9.99971·7 | 07 | 10.00028 | 11.44295 | 8.55734 | 11.44266 | 56 |
5 | 8.56054·0 | 5765 | 9.99971·3 | 08 | 10.00029 | 11.43946 | 8.56083 | 11.43917 | 55 |
6 | 8.56399·9 | 5719 | 9.99970·8. | 07 | 10.00029 | 11.43600 | 8.56429 | 11.43571 | 54 |
7 | 8.56743·1 | 5674 | 9.99970·4 | 08 | 10.00030 | 11.43257 | 8.56773 | 11.43227 | 53 |
8 | 8.57083·6 | 5630 | 9.99969·9 | 08 | 10.00030 | 11.42916 | 8.57114 | 11.42886 | 52 |
9 | 8.57421·4 | 5587 | 9.99969·4 | 08 | 10.00031 | 11.42579 | 8.57452 | 11.42548 | 51 |
10 | 8.57756·6 | 5544 | 9.99968·9 | 07 | 10.00031 | 11.42243 | 8.57788 | 11.42212 | 50 |
11 | 8.58089·2 | 5502 | 9.99968·5 | 08 | 10.00032 | 11.41911 | 8.58121 | 11.41879 | 49 |
12 | 8.58419·3 | 5460 | 9.99968·0 | 08 | 10.00032 | 11.41581 | 8.58451 | 11.41549 | 48 |
13 | 8.58746·9 | 5419 | 9.99967·5 | 08 | 10.00033 | 11.41253 | 8.58779 | 11.41221 | 47 |
14 | 8.59072 1 | 5379 | 9.99967·0 | 08 | 10.00033 | 11.40928 | 8.59105 | 11.40895 | 46 |
15 | 8.59394·8 | 5339 | 9.99966·5 | 08 | 10.00033 | 11.40605 | 8.59428 | 11.40572 | 45 |
16 | 8.59715·2 | 5300 | 9.99966·0 | 08 | 10.00034 | 11.40285 | 8.59749 | 11.40251 | 44 |
17 | 8.60033·2 | 5261 | 9.99965·5 | 08 | 10.00034 | 11.39967 | 8.60068 | 11.39932 | 43 |
18 | 8.60348·9 | 5223 | 9.99965·0 | 08 | 10.00035 | 11.39651 | 8.60384 | 11.39616 | 42 |
19 | 8.60662·3 | 5186 | 9.99964·5 | 08 | 10.00036 | 11.39338 | 8.60698 | 11.39302 | 41 |
20 | 8.60973·4 | 5149 | 9.99964·0 | 08 | 10.00036 | 11.39027 | 8.61009 | 11.38991 | 40 |
21 | 8.61282·3 | 5112 | 9.99963·5 | 10 | 10.00037 | 11.38718 | 8.61319 | 11.38681 | 39 |
22 | 8.61589·1 | 5076 | 9.99962·9 | 08 | 10.00037 | 11.38411 | 8.61626 | 11.38374 | 38 |
23 | 8.61893·7 | 5041 | 9.99962·4 | 08 | 10.00038 | 11.38106 | 8.61931 | 11.38069 | 37 |
24 | 8.62196·2 | 5006 | 9.99961·9 | 08 | 10.00038 | 11.37804 | 8.62234 | 11.37766 | 36 |
25 | 8.62496·5 | 4972 | 9.99961·4 | 10 | 10.00039 | 11.37503 | 8.62535 | 11.37465 | 35 |
26 | 8.62794·8 | 4938 | 9.99960·8 | 08 | 10.00039 | 11.37205 | 8.62834 | 11.37166 | 34 |
27 | 8.63091·1 | 4904 | 9.99960·3 | 10 | 10.00040 | 11.36909 | 8.63131 | 11.36869 | 33 |
28 | 8.63385·4 | 4871 | 9.99959·7 | 08 | 10.00040 | 11.36615 | 8.63426 | 11.36574 | 32 |
29 | 8.63677·6 | 4839 | 9.99959·2 | 10 | 10.00041 | 11.36322 | 8.63718 | 11.36282 | 31 |
30 | 8.63968·0 | 4806 | 9.99958·6 | 08 | 10.00041 | 11.36032 | 8.64009 | 11.35991 | 30 |
31 | 8.64256·3 | 4775 | 9.99958·1 | 10 | 10.00042 | 11.35744 | 8.64298 | 11.35702 | 29 |
32 | 8.64542·8 | 4743 | 9.99957·5 | 08 | 10.00042 | 11.35457 | 8.64585 | 11.35415 | 28 |
33 | 8.64827·4 | 4712 | 9.99957·0 | 10 | 10.00043 | 11.35173 | 8.64870 | 11.35130 | 27 |
34 | 8.65110·2 | 4682 | 9.99956·4 | 10 | 10.00044 | 11.34890 | 8.65154 | 11.34846 | 26 |
35 | 8.65391·1 | 4652 | 9.99955·8 | 08 | 10.00044 | 11.34609 | 8.65435 | 11.34565 | 25 |
36 | 8.65670·2 | 4622 | 9.99955·3 | 10 | 10.00045 | 11.34330 | 8.65715 | 11.34285 | 24 |
37 | 8.65947·5 | 4592 | 9.99954·7 | 10 | 10.00045 | 11.34053 | 8.65993 | 11.34007 | 23 |
38 | 8.66223·0 | 4563 | 9.99954·1 | 10 | 10.00046 | 11.33777 | 8.66269 | 11.33731 | 22 |
39 | 8.66496·8 | 4535 | 9.99953·5 | 10 | 10.00046 | 11.33503 | 8.66543 | 11.33457 | 21 |
40 | 8.66768·9 | 4506 | 9.99952·9 | 08 | 10.00047 | 11.33231 | 8.66816 | 11.33184 | 20 |
41 | 8.67039·3 | 4479 | 9.99952·4 | 10 | 10.00048 | 11.32961 | 8.67087 | 11.32913 | 19 |
42 | 8.67308·0 | 4451 | 9.99951·8 | 10 | 10.00048 | 11.32692 | 8.67356 | 11.32644 | 18 |
43 | 8.67575·1 | 4424 | 9.99951·2 | 10 | 10.00049 | 11.32425 | 8.67624 | 11.32376 | 17 |
44 | 8.67840·5 | 4397 | 9.99950·6 | 10 | 10.00049 | 11.32159 | 8.67890 | 11.32110 | 16 |
45 | 8.68104·3 | 4370 | 9.99950·0 | 12 | 10.00050 | 11.31896 | 8.68154 | 11.31846 | 15 |
46 | 8.68366·5 | 4344 | 9.99949·3 | 10 | 10.00051 | 11.31633 | 8.68417 | 11.31583 | 14 |
47 | 8.68627·2 | 4318 | 9.99948·7 | 10 | 10.00051 | 11.31373 | 8.68678 | 11.31322 | 13 |
48 | 8.68886·3 | 4292 | 9.99948·1 | 10 | 10.00052 | 11.31114 | 8.68938 | 11.31062 | 12 |
49 | 8.69143·8 | 4267 | 9.99947·5 | 10 | 10.00052 | 11.30856 | 8.69196 | 11.30804 | 11 |
50 | 8.69399·8 | 4242 | 9.99946·9 | 10. | 10.00053 | 11.30600 | 8.69453 | 11.30547 | 10 |
51 | 8.69654·3 | 4217 | 9.99946·3 | 12 | 10.00054 | 11.30346 | 8.69708 | 11.30292 | 9 |
52 | 8.69907·3 | 4192 | 9.99945·6 | 10 | 10.00054 | 11.30093 | 8.69962 | 11.30038 | 8 |
53 | 8.70158·9 | 4168 | 9.99945·0 | 12 | 10.00055 | 11.29841 | 8.70214 | 11.29786 | 7 |
54 | 8.70409·0 | 4144 | 9.99944·3 | 10 | 10.00056 | 11.29591 | 8.70465 | 11.29535 | 6 |
55 | 8.70657·7 | 4121 | 9.99943·7 | 10 | 10.00056 | 11.29342 | 8.70714 | 11.29286 | 5 |
56 | 8.70904·9 | 4097 | 9.99943·1 | 12 | 10.00057 | 11.29095 | 8.70962 | 11.29038 | 4 |
57 | 8.71150·7 | 4074 | 9.99942·4 | 10 | 10.00058 | 11.28849 | 8.71208 | 11.28792 | 3 |
58 | 8.71395·2 | 4051 | 9.99941·8 | 12 | 10.00058 | 11.28605 | 8.71453 | 11.28547 | 2 |
59 | 8.71638·3 | 4029 | 9.99941·1 | 12 | 10.00059 | 11.28362 | 8.71697 | 11.28303 | 1 |
60 | 8.71880·0 | 9.99940·4 | 10.00060 | 11.28120 | 8.71940 | 11.28060 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
87 Degrees. |
[page] 111
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
3 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 8.71880·0 | 4006 | 9.99940·4 | 10 | 10.00060 | 11.28120 | 8.71940 | 11.28060 | 60 |
1 | 8.72120·4 | 3984 | 9.99939·8 | 12 | 10.00060 | 11.27880 | 8.72181 | 11.27819 | 59 |
2 | 8.72359·5 | 3962 | 9.99939·1 | 12 | 10.00061 | 11.27641 | 8.72420 | 11.27580 | 58 |
3 | 8.72597·2 | 3941 | 9.99938·4 | 10 | 10.00062 | 11.27403 | 8.72659 | 11.27341 | 57 |
4 | 8.72833·7 | 3919 | 9.99937·8 | 12 | 10.00062 | 11.27166 | 8.72896 | 11.27104 | 56 |
5 | 8.73068·8 | 3898 | 9.99937·1 | 12 | 10.00063 | 11.26931 | 8.73132 | 11.26868 | 55 |
6 | 8.73302·7 | 3877 | 9.99936·4 | 12 | 10.00064 | 11.26697 | 8.73366 | 11.26634 | 54 |
7 | 8.73535·4 | 3857 | 9.99935·7 | 12 | 10.00064 | 11.26465 | 8.73600 | 11.26400 | 53 |
8 | 8.73766·7 | 3836 | 9.99935·0 | 12 | 10.00065 | 11.26233 | 8.73832 | 11.26168 | 52 |
9 | 8.73996·9 | 3816 | 9.99934·5 | 12 | 10.00066 | 11.26003 | 8.74063 | 11.25937 | 51 |
10 | 8.74225·9 | 3796 | 9.99933·6 | 12 | 10.00066 | 11.25774 | 8.74292 | 11.25708 | 50 |
11 | 8.74453·6 | 3776 | 9.99932·9 | 12 | 10.00067 | 11.25546 | 8.74521 | 11.25479 | 49 |
12 | 8.74680·2 | 3756 | 9.99932·2 | 12 | 10.00068 | 11.25320 | 8.74748 | 11.25252 | 48 |
13 | 8.74905·5 | 3737 | 9.99931·5 | 12 | 10.00068 | 11.25094 | 8.74974 | 11.25026 | 47 |
14 | 8.75129·7 | 3717 | 9.99930·8 | 12 | 10.00069 | 11.24870 | 8.75199 | 11.24801 | 46 |
15 | 8.75352·8 | 3698 | 9.99930·1 | 12 | 10.00070 | 11.24647 | 8.75423 | 11.24577 | 45 |
16 | 8.75574·7 | 3679 | 9.99929·4 | 12 | 10.00071 | 11.24425 | 8.75645 | 11.24355 | 44 |
17 | 8.75795·5 | 3661 | 9.99928·7 | 13 | 10.00071 | 11.24205 | 8.75867 | 11.24133 | 43 |
18 | 8.76015·1 | 3642 | 9.99927·9 | 12 | 10.00072 | 11.23985 | 8.76087 | 11.23913 | 42 |
19 | 8.76233·7 | 3624 | 9.99927·2 | 12 | 10.00073 | 11.23766 | 8.76306 | 11.23694 | 41 |
20 | 8.76451·1 | 3606 | 9.99926·5 | 13 | 10.00074 | 11.23549 | 8.76525 | 11.23475 | 40 |
21 | 8.76667·5 | 3588 | 9.99925·7 | 12 | 10.00074 | 11.23333 | 8.76742 | 11.23258 | 39 |
22 | 8.76882·8 | 3570 | 9.99925·0 | 13 | 10.00075 | 11.23117 | 8.76958 | 11.23042 | 38 |
23 | 8.77097·0 | 3553 | 9.99924·2 | 12 | 10.00076 | 11.22903 | 8.77173 | 11.22827 | 37 |
24 | 8.77310·1 | 3535 | 9.99923·5 | 13 | 10.00077 | 11.22690 | 8.77387 | 11.22613 | 36 |
25 | 8.77522·3 | 3518 | 9.99922·7 | 12 | 10.00077 | 11.22478 | 8.77600 | 11.22400 | 35 |
26 | 8.77733·3 | 3501 | 9.99922·0 | 13 | 10.00078 | 11.22267 | 8.77811 | 11.22189 | 34 |
27 | 8.77943·4 | 3480 | 9.99921·2 | 12 | 10.00079 | 11.22057 | 8.78022 | 11.21978 | 33 |
28 | 8.78152·4 | 3467 | 9.99920·5 | 13 | 10.00080 | 11.21848 | 8.78232 | 11.21768 | 32 |
29 | 8.78360·5 | 3451 | 9.99919·7 | 13 | 10.00080 | 11.21640 | 8.78441 | 11.21559 | 31 |
30 | 8.78567·5 | 3431 | 9.99918·9 | 13 | 10.00081 | 11.21432 | 8.78649 | 11.21351 | 30 |
31 | 8.78773·6 | 3418 | 9.99918·1 | 12 | 10.00082 | 11.21226 | 8.78855 | 11.21145 | 29 |
32 | 8.78978·7 | 3402 | 9.99917·4 | 13 | 10.00083 | 11.21021 | 8.79061 | 11.20939 | 28 |
33 | 8.79182·8 | 3386 | 9.99916·6 | 13 | 10.00083 | 11.20817 | 8.79266 | 11.20734 | 27 |
34 | 8.79385·9 | 3370 | 9.99915·8 | 13 | 10.00084 | 11.26614 | 8.79470 | 11.20530 | 26 |
35 | 8.79588·1 | 3354 | 9.99915·0 | 13 | 10.00085 | 11.20412 | 8.79673 | 11.20327 | 25 |
36 | 8.79789·4 | 3339 | 9.99914·2 | 13 | 10.00086 | 11.20211 | 8.79875 | 11.20125 | 24 |
37 | 8.79989·7 | 3323 | 9.99913·4 | 13 | 10.00087 | 11.20010 | 8.80076 | 11.19924 | 23 |
38 | 8.80189·2 | 3308 | 9.99912·6 | 13 | 10.00087 | 11.19811 | 8.80277 | 11.19723 | 22 |
39 | 8.80387·6 | 3293 | 9.99911·8 | 13 | 10.00088 | 11.19612 | 8.80476 | 11.19524 | 21 |
40 | 8.80585·2 | 3278 | 9.99911·0 | 13 | 10.00089 | 11.19415 | 8.80674 | 11.19326 | 20 |
41 | 8.80781·9 | 3263 | 9.99910·2 | 13 | 10.00090 | 11.19218 | 8.80872 | 11.19128 | 19 |
42 | 8.80977·7 | 3249 | 9.99909·4 | 13 | 10.00091 | 11.19022 | 8.81068 | 11.18932 | 18 |
43 | 8.81172·6 | 3234 | 9.99908·6 | 15 | 10.00091 | 11.18827 | 8.81264 | 11.18736 | 17 |
44 | 8.81366·7 | 3219 | 9.999077 | 13 | 10.00092 | 11.18633 | 8.81459 | 11.18541 | 16 |
45 | 8.81559·9 | 3205 | 9.99906·9 | 13 | 10.00093 | 11.18440 | 8.81653 | 11.18347 | 15 |
46 | 8.81752·2 | 3191 | 9.99906·1 | 13 | 10.09094 | 11.18248 | 8.81846 | 11.18154 | 14 |
47 | 8.81943·6 | 3177 | 9.99905·3 | 15 | 10.00095 | 11.18056 | 8.82038 | 11.17962 | 13 |
48 | 8.82134·3 | 3163 | 9.99904·4 | 13 | 10.00096 | 11.17866 | 8.82230 | 11.17770 | 12 |
49 | 8.82324·0 | 3149 | 9.99903·6 | 15 | 10.00096 | 11.17676 | 8.82420 | 11.17580 | 11 |
50 | 8.82513·0 | 3135 | 9.99902·7 | 13 | 10.00097 | 11.17487 | 8.82610 | 11.17390 | 10 |
51 | 8.82701·1 | 3122 | 9.99901·9 | 15 | 10.00098 | 11.17299 | 8.82729 | 11.17201 | 9 |
52 | 8.82888·4 | 3108 | 9.99901·0 | 15 | 10.00099 | 11.17112 | 8.82987 | 11.17013 | 8 |
53 | 8.85074·9 | 3095 | 9.99900·2 | 15 | 10.00100 | 11.16925 | 8.83175 | 11.16325 | 7 |
54 | 8.83260·7 | 3082 | 9.99899·3 | 15 | 10.00101 | 11.16739 | 8.83361 | 11.16639 | 6 |
55 | 8.83445·6 | 3069 | 9.99898·4 | 13 | 10.00102 | 11.16554 | 8.83547 | 11.16453 | 5 |
56 | 8.83629·7 | 3056 | 9.99897·6 | 15 | 10.00102 | 11.16370 | 8.83732 | 11.16268 | 4 |
57 | 8.83813·0 | 3043 | 9.99896·7 | 15 | 10.00103 | 11.16187 | 8.83916 | 11.16084 | 3 |
58 | 8.83995·6 | 3030 | 9.99895·8 | 13 | 10.00104 | 11.16004 | 8.84100 | 11.15900 | 2 |
59 | 8.84177·4 | 3017 | 9.99895·0 | 15 | 10.00105 | 11.15823 | 8.84282 | 11.15718 | 1 |
60 | 8.84358·5 | 9.99894·1 | 10.00106 | 11.15642 | 8.84464 | 11.15536 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
86 Degrees. |
[page] 112
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
4 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 8.84358·5 | 3005 | 9.99894·1 | 15 | 10.00106 | 11.15642 | 8.84464 | 11.15536 | 60 |
1 | 8.84538·7 | 2992 | 9.99893·2 | 15 | 10.00107 | 11.15461 | 8.84646 | 11.15354 | 59 |
2 | 8.84718·3 | 2980 | 9.99892·3 | 15 | 10.00108 | 11.15282 | 8.84826 | 11.15174 | 58 |
3 | 8.84897·1 | 2967 | 9.99891·4 | 15 | 10.00109 | 11.15103 | 8.85006 | 11.14994 | 57 |
4 | 8.85075·1 | 2955 | 9.99890·5 | 15 | 10.00109 | 11.14925 | 8.85185 | 11.14815 | 56 |
5 | 8.85252·5 | 2943 | 9.99889·6 | 15 | 10.00110 | 11.14748 | 8.85363 | 11.14637 | 55 |
6 | 8.85429·1 | 2931 | 9.99888·7 | 15 | 10.00111 | 11.14571 | 8.85540 | 11.14460 | 54 |
7 | 8.85604·9 | 2919 | 9.99887·8 | 15 | 10.00112 | 11.14395 | 8.85717 | 11.14283 | 53 |
8 | 8.85780·1 | 2907 | 9.99886·9 | 15 | 10.00113 | 11.14220 | 8.85893 | 11.14107 | 52 |
9 | 8.85954·5 | 2896 | 9.99886·0 | 15 | 10.00114 | 11.14045 | 8.86069 | 11.13931 | 51 |
10 | 8.86128·3 | 2884 | 9.99885·1 | 17 | 10.00115 | 11.13872 | 8.86243 | 11.13757 | 50 |
11 | 8.86301·4 | 2873 | 9.99854·1 | 15 | 10.00116 | 11.13699 | 8.86417 | 11.13583 | 49 |
12 | 8.86473·8 | 2861 | 9.99883·2 | 15 | 10.00117 | 11.13526 | 8.86591 | 11.13409 | 48 |
13 | 8.86645·5 | 2850 | 9.99882·3 | 17 | 10.00118 | 11.13355 | 8.86763 | 11.13237 | 47 |
14 | 8.86816·5 | 2839 | 9.99881·3 | 15 | 10.00119 | 11.13013 | 8.86935 | 11.13065 | 46 |
15 | 8.86986·8 | 2828 | 9.99880·4 | 15 | 10.00112 | 11.13184 | 8.87106 | 11.12894 | 45 |
16 | 8.87156·5 | 2818 | 9.99879·5 | 17 | 10.00121 | 11.12844 | 8.87277 | 11.12723 | 44 |
17 | 8.87325·5 | 2806 | 9.99878·5 | 15 | 10.00121 | 11.12675 | 8.87447 | 11.12553 | 43 |
18 | 8.87493·8 | 2795 | 9.99877·6 | 17 | 10.00122 | 11.12506 | 8.87616 | 11.12384 | 42 |
19 | 8.87661·5 | 2786 | 9.99876·6 | 15 | 10.00123 | 11.12339 | 8.87785 | 11.12215 | 41 |
20 | 8.87828·5 | 2773 | 9.99875·7 | 17 | 10.00124 | 11.12171 | 8.87953 | 11.12047 | 40 |
21 | 8.87994·9 | 2763 | 9.99874·7 | 15 | 10.00125 | 11.12005 | 8.88120 | 11.11880 | 39 |
22 | 8.88160·7 | 2752 | 9.99873·8 | 17 | 10.00126 | 11.11839 | 8.88287 | 11.11713 | 38 |
23 | 8.88325·8 | 2742 | 9.99872·8 | 17 | 10.00127 | 11.11674 | 8.88453 | 11.11547 | 37 |
24 | 8.88490·3 | 2731 | 9.99871·8 | 17 | 10.00128 | 11.11510 | 8.88618 | 11.11382 | 36 |
25 | 8.88664·2 | 2721 | 9.99870·8 | 15 | 10.00129 | 11.11346 | 8.88783 | 11.11217 | 35 |
26 | 8.88817·4 | 2711 | 9.99869·9 | 17 | 10.00130 | 11.11183 | 8.88948 | 11.11052 | 34 |
27 | 8.88980·1 | 2700 | 9.99868·9 | 17 | 10.00131 | 11.11020 | 8.89111 | 11.10859 | 33 |
28 | 8.89142·1 | 2690 | 9.99367·9 | 17 | 10.00132 | 11.10858 | 8.89274 | 11.10726 | 32 |
29 | 8.89303·5 | 2680 | 9.99866·9 | 17 | 10.00133 | 11.10696 | 8.89437 | 11.10563 | 31 |
30 | 8.89464·3 | 2670 | 9.99865·9 | 17 | 10.00134 | 11.10536 | 8.89598 | 11.10402 | 30 |
31 | 8.89624·6 | 2660 | 9.99864·9 | 17 | 10.00135 | 11.10375 | 8.89760 | 11.10240 | 29 |
32 | 8.89784·2 | 2651 | 9.99863·9 | 17 | 10.00136 | 11.10216 | 8.89920 | 11.10080 | 28 |
33 | 8.89943·2 | 2641 | 9.99862·9 | 17 | 10.00137 | 11.10057 | 8.90080 | 11.09920 | 27 |
34 | 8.90101·7 | 2631 | 9.99861·9 | 17 | 10.00138 | 11.09898 | 8.90240 | 11.09760 | 26 |
35 | 8.90259·6 | 2622 | 9.99860·9 | 17 | 10.00139 | 11.09740 | 8.90399 | 11.09601 | 25 |
36 | 8.90416·9 | 2612 | 9.99859·9 | 17 | 10.00140 | 11.09583 | 8.90557 | 11.09443 | 24 |
37 | 8.90573·6 | 2603 | 9.99858·9 | 18 | 10.00141 | 11.09426 | 8.90715 | 11.09285 | 23 |
38 | 8.90729·7 | 2593 | 9.99857·8 | 17 | 10.00142 | 11.09270 | 8.90872 | 11.09128 | 22 |
39 | 8.90885·3 | 2584 | 9.99856·8 | 17 | 10.00143 | 11.09115 | 8.91029 | 11.06971 | 21 |
40 | 8.91040·4 | 2575 | 9.99855·8 | 17 | 10.00144 | 11.08960 | 8.91185 | 11.08815 | 20 |
41 | 8.91194·9 | 2566 | 9.99854·8 | 18 | 10.00145 | 11.08805 | 8.91340 | 11.08660 | 19 |
42 | 8.91348·8 | 2556 | 9.99853·7 | 17 | 10.00146 | 11.08651 | 8.91495 | 11.08505 | 18 |
43 | 8.91502·2 | 2547 | 9.99852·7 | 18 | 10.00147 | 11.08498 | 8.91650 | 11.05350 | 17 |
44 | 8.91655·0 | 2538 | 9.99851·6 | 17 | 10.00148 | 11.08345 | 8.91803 | 11.08197 | 16 |
45 | 8.91807·3 | 2529 | 9.99850·6 | 18 | 10.00149 | 11.08193 | 8.91957 | 11.08043 | 15 |
46 | 8.91959·1 | 2520 | 9.99849·5 | 17 | 10.00150 | 11.08041 | 8.92110 | 11.07890 | 14 |
47 | 8.92110·3 | 2512 | 9.99848·5 | 18 | 10.00152 | 11.07890 | 8.92262 | 11.07738 | 13 |
48 | 8.92261·0 | 2503 | 9.99847·4 | 17 | 10.00153 | 11.07739 | 8.92414 | 11.07586 | 12 |
49 | 8.92411·2 | 2494 | 9.99846·4 | 18 | 10.00154 | 11.07589 | 8.92565 | 11.07435 | 11 |
50 | 8.92560·9 | 2486 | 9.99845·3 | 18 | 10.00155 | 11.07439 | 8.92716 | 11.07284 | 10 |
51 | 8.92710·0 | 2477 | 9.99844·2 | 18 | 10.00156 | 11.07290 | 8.92866 | 11.07134 | 9 |
52 | 8.92858·7 | 2469 | 9.99843·1 | 17 | 10.00157 | 11.07141 | 8.93016 | 11.06984 | 8 |
53 | 8.93006·8 | 2460 | 9.99842·1 | 18 | 10.00158 | 11.06993 | 8.93165 | 11.06835 | 7 |
54 | 8.93154·4 | 2452 | 9.99841·0 | 18 | 10.00159 | 11.06846 | 8.93313 | 11.06687 | 6 |
55 | 8.93301·5 | 2443 | 9.99839·9 | 18 | 10.00160 | 11.06699 | 8.93462 | 11.06538 | 5 |
56 | 8.93448·1 | 2435 | 9.99838·8 | 18 | 10.00161 | 11.06552 | 8.93609 | 11.06391 | 4 |
57 | 8.93594·2 | 2427 | 9.99837·7 | 18 | 10.00162 | 11.06406 | 8.93756 | 11.06244 | 3 |
58 | 8.93739·8 | 2419 | 9.99836·6 | 18 | 10.00163 | 11.06260 | 8.53903 | 11.06097 | 2 |
59 | 8.93885·0 | 2411 | 9.99835·5 | 18 | 10.00164 | 11.06115 | 8.94049 | 11.05951 | 1 |
60 | 8.94029·6 | 9.99834·4 | 10.00166 | 11.05907 | 8.94195 | 11.05805 | 0 | ||
M | Co-sine. | Sine | Co-secant. | Secant. | Co-tang. | Tangent | M | ||
85 Degrees. |
[page] 113
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
5 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 8.94029·6 | 2403 | 9.99834·4 | 18 | 10.00166 | 11.05970 | 8.94195 | 11.05805 | 60 |
1 | 8.94173·8 | 2394 | 9.99833·3 | 18 | 10.00167 | 11.05826 | 8.94340 | 11.05660 | 59 |
2 | 8.94317·4 | 2387 | 9.99832·2 | 18 | 10.00168 | 11.05683 | 8.94485 | 11.05515 | 58 |
3 | 8.94460·6 | 2379 | 9.99831·1 | 18 | 10.00169 | 11.05539 | 8.94630 | 11.05370 | 57 |
4 | 8.94603·4 | 2371 | 9.99830·0 | 18 | 10.00170 | 11.05397 | 8.94773 | 11.05227 | 56 |
5 | 8.94745·6 | 2363 | 9.99828·9 | 20 | 10.00171 | 11.05254 | 8.94917 | 11.05083 | 55 |
6 | 8.94887·4 | 2355 | 9.99827·7 | 18 | 10.00172 | 11.05113 | 8.95060 | 11.04940 | 54 |
7 | 8.95028·7 | 2348 | 9.99826·6 | 18 | 10.00173 | 11.04971 | 8.95202 | 11.04798 | 53 |
8 | 8.95169·6 | 2340 | 9.99825·5 | 20 | 10.00175 | 11.04830 | 8.95344 | 11.04656 | 52 |
9 | 8.95310·0 | 2332 | 9.99824·3 | 18 | 10.00176 | 11.04690 | 8.95486 | 11.04514 | 51 |
10 | 8.95449·9 | 2325 | 9.99823·2 | 20 | 10.00177 | 11.04550 | 8.95627 | 11.04373 | 50 |
11 | 8.95589·4 | 2317 | 9.99822·0 | 18 | 10.00178 | 11.04411 | 8.95767 | 11.04233 | 49 |
12 | 8.95728·4 | 2310 | 9.99820·9 | 20 | 10.00179 | 11.04272 | 8.95908 | 11.04092 | 48 |
13 | 8.95867·0 | 2302 | 9.99819·7 | 18 | 10.00180 | 11.04133 | 8.96047 | 11.03953 | 47 |
14 | 8.96005·2 | 2295 | 9.99818·6 | 20 | 10.00181 | 11.03995 | 8.96187 | 11.03813 | 46 |
15 | 8.96142·9 | 2288 | 9.99817·4 | 18 | 10.00183 | 11.03857 | 8.96325 | 11.03675 | 45 |
16 | 8.96280·1 | 2280 | 9.99816·3 | 20 | 10.00184 | 11.03720 | 8.96464 | 11.03536 | 44 |
17 | 8.96417·0 | 2273 | 9.99815·1 | 20 | 10.00185 | 11.03583 | 8.96602 | 11.03398 | 43 |
18 | 8.96553·4 | 2266 | 9.99813·9 | 18 | 10.00186 | 11.03447 | 8.96739 | 11.03261 | 42 |
19 | 8.96689·3 | 2259 | 9.99812·8 | 20 | 10.00187 | 11.03311 | 8.96877 | 11.03123 | 41 |
20 | 8.96824·9 | 2252 | 9.99811·6 | 20 | 10.00188 | 11.03175 | 8.97013 | 11.02987 | 40 |
21 | 8.96960·0 | 2244 | 9.99810·4 | 20 | 10.00190 | 11.03040 | 8.97150 | 11.02850 | 39 |
22 | 8.97094·7 | 2238 | 9.99809·2 | 20 | 10.00191 | 11.02905 | 8.97285 | 11.02715 | 38 |
23 | 8.97228·9 | 2231 | 9.99808·0 | 20 | 10.00192 | 11.02771 | 8.97421 | 11.02579 | 37 |
24 | 8.97362·8 | 2224 | 9.99806·8 | 20 | 10.00193 | 11.02637 | 8.97556 | 11.02444 | 36 |
25 | 8.97496·2 | 2217 | 9.99805·6 | 20 | 10.00194 | 11.02504 | 8.97691 | 11.02309 | 35 |
26 | 8.97629·3 | 2210 | 9.99804·4 | 20 | 10.00196 | 11.02371 | 8.97825 | 11.02175 | 34 |
27 | 8.97761·9 | 2203 | 9.99803·2 | 20 | 10.00197 | 11.02238 | 8.97959 | 11.02041 | 33 |
28 | 8.97894·1 | 2197 | 9.99802·0 | 20 | 10.00198 | 11.02106 | 8.98092 | 11.01908 | 32 |
29 | 8.98025·9 | 2190 | 9.99800·8 | 20 | 10.00199 | 11.01974 | 8.98225 | 11.01775 | 31 |
30 | 8.98157·3 | 2183 | 9.99799·6 | 20 | 10.00200 | 11.01843 | 8.98358 | 11.01642 | 30 |
31 | 8.98288·3 | 2177 | 9.99798·4 | 20 | 10.00202 | 11.01712 | 8.98490 | 11.01510 | 29 |
32 | 8.98418·9 | 2170 | 9.99797·2 | 22 | 10.00203 | 11.01581 | 8.98622 | 11.01378 | 28 |
33 | 8.98549·1 | 2163 | 9.99795·9 | 20 | 10.00204 | 11.01451 | 8.98753 | 11.01247 | 27 |
34 | 8.98678·9 | 2157 | 9.99794·7 | 20 | 10.00205 | 11.01321 | 8.98884 | 11.01116 | 26 |
35 | 8.98808·3 | 2150 | 9.99793·5 | 22 | 10.00207 | 11.01192 | 8.99015 | 11.00985 | 25 |
36 | 8.98937·4 | 2144 | 9.99792·2 | 20 | 10.00208 | 11.01063 | 8.99145 | 11.00855 | 24 |
37 | 8.99066·0 | 3138 | 9.99791·0 | 22 | 10.00209 | 11.00934 | 8.99275 | 11.00725 | 23 |
38 | 8.99194·3 | 2131 | 9.99789·7 | 20 | 10.00210 | 11.00806 | 8.99405 | 11.00595 | 22 |
39 | 8.99322·2 | 2125 | 9.99788·5 | 22 | 10.00212 | 11.00678 | 8.99534 | 11.00466 | 21 |
40 | 8.99449·7 | 2119 | 9.99787·2 | 20 | 10.00213 | 11.00550 | 8.99662 | 11.00338 | 20 |
41 | 8.99576·8 | 2112 | 9.99786·0 | 22 | 10.00214 | 11.00423 | 8.99791 | 11.00209 | 19 |
42 | 8.99703·6 | 2106 | 9.99784·7 | 20 | 10.00215 | 11.00296 | 8.99919 | 11.00081 | 18 |
43 | 8.99829·9 | 2100 | 9.99783·5 | 22 | 10.00217 | 11.00170 | 9.00046 | 10.99954 | 17 |
44 | 8.99956·6 | 2094 | 9.99782·2 | 22 | 10.00218 | 11.00044 | 9.00174 | 10.99826 | 16 |
45 | 9.00081·6 | 2087 | 9.99780·9 | 20 | 10.00219 | 10.99918 | 9.00301 | 10.99699 | 15 |
46 | 9.00206·9 | 2082 | 9.99779·7 | 22 | 10.00220 | 10.99793 | 9.00427 | 10.99573 | 14 |
47 | 9.00331·8 | 2076 | 9.99778·4 | 22 | 10.00123 | 10.99668 | 9.00553 | 10.99447 | 13 |
48 | 9.00456·3 | 2070 | 9.99777·1 | 22 | 10.00224 | 10.99544 | 9.00679 | 10.99321 | 12 |
49 | 9.00580·5 | 2064 | 9.99775·8 | 22 | 10.00225 | 10.99419 | 9.00805 | 10.99195 | 11 |
50 | 9.00704·4 | 2058 | 9.99774·5 | 22 | 10.00227 | 10.99296 | 9.00930 | 10.99070 | 10 |
51 | 9.00827·5 | 2052 | 9.99773·2 | 22 | 10.00228 | 10.99172 | 9.01055 | 10.98945 | 9 |
52 | 9.00951·0 | 2646 | 9.99771·9 | 22 | 10.00229 | 10.99049 | 9.01179 | 10.98821 | 8 |
53 | 9.01073·7 | 2040 | 9.99770·6 | 22 | 10.00231 | 10.98926 | 9.01303 | 10.98697 | 7 |
54 | 9.01196·2 | 2034 | 9.99769·3 | 22 | 10.00232 | 10.98804 | 9.01427 | 10.98573 | 6 |
55 | 9.61318·2 | 2029 | 9.99768·0 | 22 | 10.00233 | 10.98682 | 9.01550 | 10.98450 | 5 |
56 | 9.01440·0 | 2023 | 9.99766·7 | 22 | 10.00235 | 10.98560 | 9.01673 | 10.98327 | 4 |
57 | 9.01561·3 | 2017 | 9.99765·4 | 22 | 10.00236 | 10.98439 | 9.01796 | 10.98204 | 3 |
58 | 9.01682·4 | 2012 | 9.99764·1 | 22 | 10.00237 | 10.98318 | 9.01918 | 10.98082 | 2 |
59 | 9.01803·1 | 2006 | 9.99762·8 | 23 | 10.00239 | 10.98197 | 9.02040 | 10.97960 | 1 |
60 | 9.01923·5 | 9.99761·4 | 10.98077 | 10.97960 | 9.02162 | 10.97838 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
84 Degrees. |
P
[page] 114
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
6 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.01923·5 | 2000 | 9.99761·4 | 22 | 10.00239 | 10.98077 | 9.02162 | 10.97838 | 60 |
1 | 9.02043·5 | 1995 | 9.99760·1 | 22 | 10.00240 | 10.97957 | 9.02283 | 10.97717 | 59 |
2 | 9.02163·2 | 1989 | 9.99758·8 | 23 | 10.00241 | 10.97837 | 9.02404 | 10.97596 | 58 |
3 | 9.02282·5 | 1984 | 9.99757·4 | 22 | 10.00243 | 10.97717 | 9.02525 | 10.97475 | 57 |
4 | 9.02401·6 | 1978 | 9.99756·1 | 23 | 10.00244 | 10.97598 | 9.02645 | 10.97355 | 56 |
5 | 9.02520·3 | 1973 | 9.99754·7 | 22 | 10.00245 | 10.97480 | 9.02766 | 10.97234 | 55 |
6 | 9.02638·6 | 1967 | 9.99753·4 | 23 | 10.00247 | 10.97361 | 9.02885 | 10.97115 | 54 |
7 | 9.02756·7 | 1962 | 9.99752·0 | 22 | 10.00248 | 10.97243 | 9.03005 | 10.96995 | 53 |
8 | 9.02874·4 | 1957 | 9.99750·7 | 23 | 10.00249 | 10.97126 | 9.03124 | 10.96876 | 52 |
9 | 9.02991·8 | 1951 | 9.99749·3 | 22 | 10.00251 | 10.97008 | 9.03242 | 10.96758 | 51 |
10 | 9.03108·9 | 1947 | 9.99748·0 | 23 | 10.00252 | 10.96891 | 9.03361 | 10.96639 | 50 |
11 | 9.03225·7 | 1941 | 9.99746·6 | 23 | 10.00253 | 10.96774 | 9.03479 | 10.96521 | 49 |
12 | 9.03342·1 | 1936 | 9.99745·2 | 22 | 10.00255 | 10.96658 | 9.03597 | 10.96403 | 48 |
13 | 9.03458·2 | 1930 | 9.99743·9 | 23 | 10.00256 | 10.96542 | 9.03714 | 10.96286 | 47 |
14 | 9.03574·1 | 1925 | 9.99743·5 | 23 | 10.00258 | 10.96426 | 9.03832 | 10.96168 | 46 |
15 | 9.03689·6 | 1926 | 9.9974·1 | 23 | 10.00259 | 10.96310 | 9.03948 | 10.96052 | 45 |
16 | 9.03804·8 | 1915 | 9.99739·7 | 23 | 10.00260 | 10.96195 | 9.04065 | 10.95935 | 44 |
17 | 9.03919·7 | 1910 | 9.99738·3 | 23 | 10.00262 | 10.96080 | 9.04181 | 10.95819 | 43 |
18 | 9.04034·2 | 1905 | 9.99736·9 | 23 | 10.00263 | 10.95966 | 9.04297 | 10.95703 | 42 |
19 | 9.04148·5 | 1899 | 9.99735·5 | 23 | 10.00264 | 10.95851 | 9.04413 | 10.95587 | 41 |
20 | 9.04262·5 | 1894 | 9.99734·1 | 23 | 10.00266 | 10.95738 | 9.04528 | 10.95472 | 40 |
21 | 9.04376·2 | 1889 | 9.99732·7 | 23 | 10.00267 | 10.95624 | 9.04643 | 10.95357 | 39 |
22 | 9.04489·5 | 1884 | 9.99751·3 | 23 | 10.00269 | 10.95510 | 9.04758 | 10.95242 | 38 |
23 | 9.04602·6 | 1879 | 9.99729·9 | 23 | 10.00270 | 10.95397 | 9.04873 | 10.95127 | 37 |
24 | 9.04715·4 | 1875 | 9.99728·5 | 23 | 10.00272 | 10.95285 | 9.04987 | 10.95013 | 36 |
25 | 9.04837·9 | 1870 | 9.99727·1 | 23 | 10.00273 | 10.95172 | 9.05101 | 10.94899 | 35 |
26 | 9.04940·0 | 1865 | 9.99725·7 | 25 | 10.00274 | 10.95060 | 9.05214 | 10.94786 | 34 |
27 | 9.05051·9 | 1860 | 9.99724·2 | 23 | 10.00276 | 10.94948 | 9.05328 | 10.94672 | 33 |
28 | 9.05163·5 | 1855 | 9.99722·8 | 23 | 10.00277 | 10.94836 | 9.05441 | 10.94559 | 32 |
29 | 9.05274·9 | 1850 | 9.99721·4 | 25 | 10.00279 | 10.94725 | 9.05553 | 10.94447 | 31 |
30 | 9.05385·9 | 1845 | 9.99719·9 | 23 | 10.00280 | 10.94614 | 9.05666 | 10.94334 | 30 |
31 | 9.05496·6 | 1841 | 9.99718·5 | 25 | 10.00282 | 10.94503 | 9.05778 | 10.94222 | 29 |
32 | 9.05607·1 | 1836 | 9.99717·0 | 23 | 10.00283 | 10.94393 | 9.05890 | 10.94110 | 28 |
33 | 9.05717·2 | 1831 | 9.99715·6 | 25 | 10.00284 | 10.94283 | 9.06002 | 10.93998 | 27 |
34 | 9.05827·1 | 1827 | 9.99714·1 | 23 | 10.00286 | 10.94173 | 9.06113 | 10.93887 | 26 |
35 | 9.05936·7 | 1822 | 9.99712·7 | 25 | 10.00287 | 10.94063 | 9.06224 | 10.93776 | 25 |
36 | 9.06046·0 | 1817 | 9.99711·2 | 23 | 10.00289 | 10.93954 | 9.06335 | 10.93665 | 24 |
37 | 9.06155·1 | 1813 | 9.99709·8 | 25 | 10.00290 | 10.93845 | 9.06445 | 10.93555 | 23 |
38 | 9.06263·9 | 1808 | 9.99708·3 | 25 | 10.00292 | 10.93736 | 9.06556 | 10.93444 | 22 |
39 | 9.06372·4 | 1804 | 9.99706·8 | 25 | 10.60293 | 10.93628 | 9.06666 | 10.93334 | 21 |
40 | 9.06480·6 | 1799 | 9.99705·3 | 23 | 10.00295 | 10.93519 | 9.06775 | 10.93225 | 20 |
41 | 9.06588·5 | 1794 | 9.99703·9 | 25 | 10.00296 | 10.93411 | 9.06885 | 10.93115 | 19 |
42 | 9.06696·2 | 1790 | 9.99702·4 | 25 | 10.00298 | 10.93304 | 9.06994 | 10.93006 | 18 |
43 | 9.06803·6 | 1786 | 5.99700·9 | 25 | 10.00299 | 10.93196 | 9.07103 | 10.92897 | 17 |
44 | 9.06910·7 | 1781 | 9.99699·4 | 25 | 10.00301 | 10.93089 | 9.07211 | 10.92789 | 16 |
45 | 9.07017·6 | 1777 | 9.99697·9 | 25 | 10.00302 | 10.92982 | 9.07320 | 10.92680 | 15 |
46 | 9.07124·2 | 1772 | 9.99696·4 | 25 | 10.00304 | 10.92876 | 9.07428 | 10.92572 | 14 |
47 | 9.07250·6 | 1768 | 9.99694·9 | 25 | 10.00305 | 10.92769 | 9.07536 | 10.92464 | 13 |
48 | 9.07336·6 | 1763 | 9.99693·4 | 25 | 10.00307 | 10.92663 | 9.07643 | 10.92357 | 12 |
49 | 9.07442·4 | 1759 | 9.99691·9 | 25 | 10.00308 | 10.92558 | 9.07751 | 10.92249 | 11 |
50 | 9.07548·0 | 1755 | 9.99690·4 | 25 | 10.00310 | 10.92452 | 9.07858 | 10.92142 | 10 |
51 | 9.07653·3 | 1750 | 9.99688·9 | 25 | 10.00311 | 10.92347 | 9.07964 | 10.92036 | 9 |
52 | 9.07758·3 | 1746 | 9.99687·4 | 27 | 10.00313 | 10.92242 | 9.08071 | 10.91929 | 8 |
53 | 9.07863·1 | 1742 | 9.99685·8 | 25 | 10.00314 | 10.92137 | 9.08177 | 10.91823 | 7 |
54 | 9.07967·6 | 1738 | 9.99684·3 | 25 | 10.00316 | 10.92032 | 9.08283 | 10.91717 | 6 |
55 | 9.08071·9 | 1733 | 9.99682·8 | 27 | 10.00317 | 10.91928 | 9.08389 | 10.91611 | 5 |
56 | 9.08175·9 | 1729 | 9.99681·2 | 25 | 10.00319 | 10.91824 | 9.08495 | 10.91505 | 4 |
57 | 9.08279·7 | 1725 | 9.99679·7 | 25 | 10.00320 | 10.91720 | 9.08600 | 10.91400 | 3 |
58 | 9.08383·2 | 1721 | 9.99678·2 | 27 | 10.00322 | 10.91617 | 9.08705 | 10.91295 | 2 |
59 | 9.08486·4 | 1717 | 9.99676·6 | 25 | 10.00323 | 10.91514 | 9.08810 | 10.91190 | 1 |
60 | 9.08589·4 | 9.99671·1 | 10.00325 | 10.91411 | 9.08914 | 10.91086 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
83 Degrees. |
[page] 115
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
7 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.08589·4 | 1713 | 9.99675·1 | 27 | 10.00325 | 10.91411 | 9.08914 | 10.91086 | 60 |
1 | 9.08692·2 | 1709 | 9.99673·5 | 25 | 10.00326 | 10.91308 | 9.09019 | 10.90981 | 59 |
2 | 9.08794·7 | 1704 | 9.99672·0 | 27 | 10.00328 | 10.91205 | 9.09123 | 10.90877 | 58 |
3 | 9.08897·0 | 1700 | 9.99670·4 | 27 | 10.00330 | 10.91103 | 9.09227 | 10.90773 | 57 |
4 | 9.08999·0 | 1696 | 9.99668·8 | 25 | 10.00331 | 10.91001 | 9.09330 | 10.90670 | 56 |
5 | 9.09100·8 | 1692 | 9.99667·3 | 27 | 10.00333 | 10.90899 | 9.09434 | 10.90566 | 55 |
6 | 9.09202·4 | 1688 | 9.99665·7 | 27 | 10.00334 | 10.90798 | 9.09537 | 10.90463 | 54 |
7 | 9.05303·7 | 1684 | 9.99664·1 | 27 | 10.00336 | 10.90696 | 9.09640 | 10.90360 | 53 |
8 | 9.09404·7 | 1680 | 9.99662·5 | 25 | 10.00337 | 10.90595 | 9.09742 | 10.90258 | 52 |
9 | 9.09505·6 | 1676 | 9.99661·0 | 27 | 10.00339 | 10.90494 | 9.09845 | 10.90155 | 51 |
10 | 9.09606·2 | 1673 | 9.99659·4 | 27 | 10.00341 | 10.90394 | 9.09947 | 10.90053 | 50 |
11 | 9.09706·5 | 1668 | 9.99657·8 | 27 | 10.00342 | 10.90293 | 9.10049 | 10.89951 | 49 |
12 | 9.09806·6 | 1665 | 9.99656·2 | 27 | 10.00344 | 10.90193 | 9.10150 | 10.89850 | 48 |
13 | 9.09906·5 | 1661 | 9.99654·6 | 27 | 10.00345 | 10.90093 | 9.10252 | 10.89748 | 47 |
14 | 9.10006·2 | 1657 | 9.99653·0 | 27 | 10.00347 | 10.89994 | 9.10353 | 10.89647 | 46 |
15 | 9.10105·6 | 1653 | 9.99651·4 | 27 | 10.00349 | 10.89894 | 9.10454 | 10.89546 | 45 |
16 | 9.10204·8 | 1649 | 9.99649·8 | 27 | 10.00350 | 10.89795 | 9.10555 | 10.89445 | 44 |
17 | 9.10303·7 | 1645 | 9.99648·2 | 28 | 10.00352 | 10.89696 | 9.10656 | 10.89344 | 43 |
18 | 9.10402·5 | 1641 | 9.99646·5 | 27 | 10.00353 | 10.89598 | 9.10756 | 10.89244 | 42 |
19 | 9.10501·0 | 1638 | 9.99644·9 | 27 | 10.00355 | 10.89499 | 9.10856 | 10.89144 | 41 |
20 | 9.10599·2 | 1634 | 9.99643·3 | 27 | 10.00357 | 10.89401 | 9.10956 | 10.89044 | 40 |
21 | 9.10697·3 | 1630 | 9.99641·7 | 28 | 10.00358 | 10.89303 | 9.11056 | 10.88944 | 39 |
22 | 9.10795·1 | 1627 | 9.99640·0 | 27 | 10.00360 | 10.89205 | 9.11155 | 10.88845 | 38 |
23 | 9.10892·7 | 1623 | 9.99638·4 | 27 | 10.00362 | 10.89107 | 9.11254 | 10.88746 | 37 |
24 | 9.10990·1 | 1619 | 9.99636·8 | 28 | 10.00363 | 10.89010 | 9.11353 | 10.88647 | 36 |
25 | 9.11087·3 | 1616 | 9.99635·1 | 27 | 10.00365 | 10.88913 | 9.11452 | 10.88548 | 35 |
26 | 9.11184·2 | 1612 | 9.99633·5 | 28 | 10.00367 | 10.88816 | 9.11551 | 10.88449 | 34 |
27 | 9.11280·9 | 1608 | 9.99631·8 | 27 | 10.00368 | 10.88719 | 9.11649 | 10.88351 | 33 |
28 | 9.11377·4 | 1605 | 9.99630·2 | 28 | 10.00370 | 10.88623 | 9.11747 | 10.88253 | 32 |
29 | 9.11473·7 | 1601 | 9.99628·5 | 27 | 10.00371 | 10.88526 | 9.11845 | 10.88155 | 31 |
30 | 9.11569·8 | 1597 | 9.99626·9 | 28 | 10.00373 | 10.88430 | 9.11943 | 10.88057 | 30 |
31 | 9.11665·6 | 1594 | 9.99625·2 | 28 | 10.00375 | 10.88334 | 9.11040 | 10.87960 | 29 |
32 | 9.11761·3 | 1590 | 9.99623·5 | 27 | 10.00376 | 10.88239 | 9.12138 | 10.87862 | 28 |
33 | 9.11856·7 | 1587 | 9.99621·9 | 28 | 10.00378 | 10.88143 | 9.12235 | 10.87765 | 27 |
34 | 9.11951·9 | 1583 | 9.99620·2 | 28 | 10.00380 | 10.88048 | 9.12332 | 10.87668 | 26 |
35 | 9.12046·9 | 1580 | 9.99618·5 | 28 | 10.00382 | 10.87953 | 9.12428 | 10.87572 | 25 |
36 | 9.12141·7 | 1576 | 9.99616·8 | 28 | 10.00383 | 10.87858 | 9.12525 | 10.87475 | 24 |
37 | 9.12236·2 | 1573 | 9.99615·1 | 28 | 10.00385 | 10.87764 | 9.12621 | 10.87379 | 23 |
38 | 9.11330·6 | 1569 | 9.99613·4 | 28 | 10.00387 | 10.87669 | 9.12717 | 10.87282 | 22 |
39 | 9.12424·8 | 1566 | 9.99611·7 | 28 | 10.00388 | 10.87575 | 9.12813 | 10.87187 | 21 |
40 | 9.12818·7 | 1562 | 9.99610·0 | 28 | 10.00390 | 10.87481 | 9.12909 | 10.87091 | 20 |
41 | 9.12612·5 | 1559 | 9.99608·3 | 28 | 10.00392 | 10.87388 | 9.13004 | 10.86996 | 19 |
42 | 9.12706·0 | 1556 | 9.99606·6 | 28 | 10.00393 | 10.87294 | 9.13099 | 10.86901 | 18 |
43 | 9.12799·3 | 1552 | 9.99604·9 | 28 | 10.00395 | 10.87201 | 9.13194 | 10.86806 | 17 |
44 | 9.12892·5 | 1549 | 9.99603·2 | 28 | 10.00397 | 10.87108 | 9.13289 | 10.86711 | 16 |
45 | 9.12985·8 | 1545 | 9.99601·5 | 28 | 10.00399 | 10.87015 | 9.13384 | 10.86616 | 15 |
46 | 9.13078·1 | 1542 | 9.99599·8 | 30 | 10.00400 | 10.86922 | 9.13478 | 10.86522 | 14 |
47 | 9.13170·6 | 1539 | 9.99598·0 | 28 | 10.00402 | 10.86829 | 9.13573 | 10.86427 | 13 |
48 | 9.13263·0 | 1535 | 9.99596·3 | 28 | 10.00404 | 10.86737 | 9.13667 | 10.86333 | 12 |
49 | 9.13355·1 | 1532 | 9.99594·6 | 30 | 10.00405 | 10.86645 | 9.13761 | 10.86239 | 11 |
50 | 9.13447·0 | 1529 | 9.99592·8 | 28 | 10.00407 | 10.86553 | 9.13854 | 10.86146 | 10 |
51 | 9.13538·7 | 1525 | 9.99591·1 | 28 | 10.00409 | 10.86461 | 9.13948 | 10.86052 | 9 |
52 | 9.13630·3 | 1522 | 9.99589·4 | 30 | 10.00411 | 10.86370 | 9.14041 | 10.85959 | 8 |
53 | 9.13721·6 | 1519 | 9.99587·6 | 28 | 10.00412 | 10.86278 | 9.14134 | 10.85866 | 7 |
54 | 9.13812·8 | 1516 | 9.99585·9 | 30 | 10.00414 | 10.86187 | 9.14227 | 10.85773 | 6 |
55 | 9.13903·7 | 1512 | 9.99584·1 | 30 | 10.00416 | 10.86096 | 9.14320 | 10.85680 | 5 |
56 | 9.13994·4 | 1509 | 9.99582·3 | 28 | 10.00418 | 10.86006 | 9.14412 | 10.85588 | 4 |
57 | 9.14085·0 | 1506 | 9.99580·6 | 30 | 10.00419 | 10.85915 | 9.14504 | 10.85496 | 3 |
58 | 9.14175·4 | 1503 | 9.99578·8 | 28 | 10.00421 | 10.85825 | 9.14597 | 10.85403 | 2 |
59 | 9.14265·5 | 1500 | 9.99577·1 | 30 | 10.00423 | 10.85734 | 9.14688 | 10.85312 | 1 |
60 | 9.14355·5 | 9.99575·3 | 10.00425 | 10.85644 | 9.14780 | 10.85220 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
82 Degrees. |
P 2
[page] 116
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
8 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.14355·5 | 1496 | 9.99575·3 | 30 | 10.00425 | 10.85644 | 9.14780 | 10.85220 | 60 |
1 | 9.14445·3 | 1493 | 9.99573·5 | 30 | 10.00426 | 10.85555 | 9.14872 | 10.85128 | 59 |
2 | 9.14534·9 | 1490 | 9.99571·7 | 30 | 10.00428 | 10.85465 | 9.14963 | 10.85037 | 58 |
3 | 9.14624·3 | 1487 | 9.99569·9 | 30 | 10.00430 | 10.85376 | 9.15054 | 10.84946 | 57 |
4 | 9.14713·6 | 1484 | 9.99568·1 | 28 | 10.00432 | 10.85286 | 9.15145 | 10.84855 | 56 |
5 | 9.14802·6 | 1481 | 9.99566·4 | 30 | 10.00434 | 10.85197 | 9.15236 | 10.84764 | 55 |
6 | 9.14891·5 | 1478 | 9.99564·6 | 30 | 10.00435 | 10.85109 | 9.15327 | 10.84673 | 54 |
7 | 9.14980·2 | 1475 | 9.99562·8 | 30 | 10.00437 | 10.85020 | 9.15417 | 10.84583 | 53 |
8 | 9.15068·6 | 1472 | 9.99561·0 | 30 | 10.00439 | 10.84931 | 9.15508 | 10.84492 | 52 |
9 | 9.15156·9 | 1469 | 9.99559·1 | 30 | 10.00441 | 10.84843 | 9.15598 | 10.84402 | 51 |
10 | 9.15245·1 | 1466 | 9.99557·3 | 30 | 10.00443 | 10.84755 | 9.15688 | 10.84312 | 50 |
11 | 9.15333·0 | 1462 | 9.99555·5 | 30 | 10.00444 | 10.84667 | 9.15777 | 10.84223 | 49 |
12 | 9.15420·8 | 1460 | 9.99553·7 | 30 | 10.00446 | 10.84579 | 9.15867 | 10.84133 | 48 |
13 | 9.15508·3 | 1457 | 9.99552·9 | 30 | 10.00448 | 10.84492 | 9.15956 | 10.84044 | 47 |
14 | 9.15595·7 | 1454 | 9.99550·1 | 32 | 10.00450 | 10.84404 | 9.16046 | 10.83954 | 46 |
15 | 9.15683·0 | 1451 | 9.99548·2 | 30 | 10.00452 | 10.84317 | 9.16135 | 10.83865 | 45 |
16 | 9.15770·0 | 1448 | 9.99546·4 | 30 | 10.00454 | 10.84230 | 9.16224 | 10.83776 | 44 |
17 | 9.15856·9 | 1445 | 9.99544·6 | 34 | 10.00455 | 10.84143 | 9.16312 | 10.83688 | 43 |
18 | 9.15943·5 | 1442 | 9.99542·7 | 30 | 10.00457 | 10.84056 | 9.16401 | 10.83599 | 42 |
19 | 9.16030·1 | 1439 | 9.99540·9 | 32 | 10.00459 | 10.84970 | 9.16489 | 10.83511 | 41 |
20 | 9.16116·4 | 1436 | 9.99539·0 | 30 | 10.00461 | 10.83884 | 9.16577 | 10.83423 | 40 |
21 | 9.16202·5 | 1433 | 9.99537·2 | 32 | 10.00463 | 10.83797 | 9.16665 | 10.83335 | 39 |
22 | 9.16288·5 | 1430 | 9.99535·3 | 32 | 10.00465 | 10.83711 | 9.16753 | 10.83247 | 38 |
23 | 9.16374·3 | 1427 | 9.99533·4 | 30 | 10.00467 | 10.63626 | 9.16841 | 10.83159 | 37 |
24 | 9.16460·0 | 1424 | 9.99531·6 | 32 | 10.00468 | 10.83540 | 9.16928 | 10.83072 | 36 |
25 | 9.16545·4 | 1422 | 9.99529·7 | 32 | 10.60470 | 10.83455 | 9.17016 | 10.82984 | 35 |
26 | 9.16630·7 | 1419 | 9.99527·8 | 30 | 10.00472 | 10.83369 | 9.17103 | 10.82897 | 34 |
27 | 9.16715·9 | 1416 | 9.99526·0 | 32 | 10.00474 | 10.83284 | 9.17190 | 10.82810 | 33 |
28 | 9.16800·8 | 1413 | 9.99524·1 | 32 | 10.00476 | 10.83199 | 9.17277 | 10.82723 | 32 |
29 | 9.16885·6 | 1410 | 9.99522·2 | 33 | 10.00478 | 10.83114 | 9.17363 | 10.82637 | 31 |
30 | 9.16970·2 | 1407 | 9.99520·3 | 32 | 10.00480 | 10.83030 | 9.17450 | 10.82550 | 30 |
31 | 9.17054·7 | 1405 | 9.99518·4 | 32 | 10.00482 | 10.82945 | 9.17556 | 10.82464 | 29 |
32 | 9.17158·9 | 1402 | 9.99516·5 | 32 | 10.00483 | 10.82861 | 9.17622 | 10.82378 | 28 |
33 | 9.17223·0 | 1399 | 9.99514·6 | 32 | 10.00485 | 10.82777 | 9.17708 | 10.82392 | 27 |
34 | 9.17307·0 | 1396 | 9.99512·7 | 32 | 10.00487 | 10.82693 | 9.17794 | 10.82206 | 26 |
35 | 9.17390·8 | 1394 | 9.99510·8 | 32 | 10.06489 | 10.82609 | 9.17880 | 10.82120 | 25 |
36 | 9.17474·4 | 1391 | 9.99508·9 | 32 | 10.00491 | 10.82526 | 9.17965 | 10.82055 | 24 |
37 | 9.17557·8 | 1388 | 9.99507·0 | 32 | 10.00493 | 10.82442 | 9.18051 | 10.81949 | 23 |
38 | 9.17641·1 | 1385 | 9.99505·1 | 32 | 10.00495 | 10.82359 | 9.18136 | 10.81864 | 22 |
39 | 9.17724·2 | 1383 | 9.99503·2 | 32 | 10.00497 | 10.82276 | 9.18221 | 10.81779 | 21 |
40 | 9.17807·2 | 1380 | 9.99501·3 | 33 | 10.00499 | 10.82193 | 9.18306 | 10.81694 | 20 |
41 | 9.17890·0 | 1377 | 9.99499·3 | 32 | 10.00501 | 10.82110 | 9.18391 | 10.81609 | 19 |
42 | 9.17972·6 | 1374 | 9.99497·4 | 32 | 10.00503 | 10.82027 | 9.18475 | 10.81525 | 18 |
43 | 9.18055·1 | 1372 | 9.99495·5 | 33 | 10.00505 | 10.81945 | 9.18560 | 10.81440 | 17 |
44 | 9.18137·4 | 1369 | 9.99493·5 | 32 | 10.00506 | 10.81863 | 9.18644 | 10.81356 | 16 |
45 | 9.18219·6 | 1366 | 9.99491·6 | 33 | 10.00508 | 10.81780 | 9.18738 | 10.81272 | 15 |
46 | 9.18301·6 | 1364 | 9.99489·6 | 32 | 10.00510 | 10.81698 | 9.18812 | 10.81188 | 14 |
47 | 9.18383·4 | 1361 | 9.99487·7 | 33 | 10.00512 | 10.81617 | 9.18896 | 10.81104 | 13 |
48 | 9.18465·1 | 1359 | 9.99485·7 | 32 | 10.00514 | 10.81555 | 9.18979 | 10.81021 | 12 |
49 | 9.18546·6 | 1356 | 9.99483·8 | 33 | 10.00516 | 10.81453 | 9.19063 | 10.80937 | 11 |
50 | 9.18638·0 | 1353 | 9.99481·8 | 33 | 10.00518 | 10.81·37 | 9.19146 | 10.80854 | 10 |
51 | 9.18709·2 | 1351 | 9.99479·8 | 32 | 10.00520 | 10.81291 | 9.19229 | 10.80771 | 9 |
52 | 9.18790·3 | 1348 | 9.99477·9 | 33 | 10.00522 | 10.81210 | 9.19312 | 10.80688 | 8 |
53 | 9.18871·2 | 1346 | 9.99475·9 | 32 | 10.00524 | 10.81129 | 9.19395 | 10.80605 | 7 |
54 | 9.18951·9 | 1343 | 9.99473·9 | 33 | 10.00526 | 10.81048 | 9.19478 | 10.80522 | 6 |
55 | 9.19031·5 | 1341 | 9.99472·0 | 33 | 10.00528 | 10.80967 | 9.19561 | 10.80439 | 5 |
56 | 9.19113·0 | 1338 | 9.99470·0 | 33 | 10.00530 | 10.80887 | 9.19643 | 10.80357 | 4 |
57 | 9.19193·3 | 1336 | 9.99468·0 | 33 | 10.00532 | 10.80807 | 9.19725 | 10.80275 | 3 |
58 | 9.19273·4 | 1333 | 9.99466·0 | 33 | 10.00534 | 10.80727 | 9.19807 | 10.80193 | 2 |
59 | 9.19353·4 | 1330 | 9.99464·0 | 10.00536 | 10.80647 | 9.19889 | 10.80111 | 1 | |
60 | 9.19433·2 | 9.99462·0 | 10.00538 | 10.80567 | 9.19971 | 10.80029 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
81 Degrees. |
[page] 117
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
9 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.19433·2 | 1328 | 9.99462·0 | 33 | 10.00538 | 10.80567 | 9.19971 | 10.80029 | 60 |
1 | 9.19512·9 | 1326 | 9.99460·0 | 33 | 10.00540 | 10.80487 | 9.20053 | 10.79947 | 59 |
2 | 9.19592·5 | 1323 | 9.99458·0 | 33 | 10.00542 | 10.80408 | 9.20134 | 10.79866 | 58 |
3 | 9.19671·9 | 1321 | 9.99456·0 | 33 | 10.00544 | 10.80328 | 9.20216 | 10.79784 | 57 |
4 | 9.19751·1 | 1318 | 9.99454·0 | 35 | 10.00546 | 10.80249 | 9.20297 | 10.79703 | 56 |
5 | 9.19830·2 | 1316 | 9.99451·9 | 33 | 10.00548 | 10.80170 | 9.20378 | 10.79622 | 55 |
6 | 9.19909·1 | 1313 | 9.99449·9 | 33 | 10.00550 | 10.80091 | 9.20459 | 10.79541 | 54 |
7 | 9.19987·9 | 1311 | 9.99447·9 | 33 | 10.00552 | 10.80012 | 9.20540 | 10.79460 | 53 |
8 | 9.20066·6 | 1308 | 9.99445·9 | 35 | 10.00554 | 10.79933 | 9.20621 | 10.79379 | 52 |
9 | 9.20145·1 | 1306 | 9.99443·8 | 33 | 10.00556 | 10.79855 | 9.20701 | 10.79299 | 51 |
10 | 9.20223·4 | 1304 | 9.99441·8 | 33 | 10.00558 | 10.79777 | 9.20782 | 10.79218 | 50 |
11 | 9.20301·7 | 1301 | 9.99439·8 | 35 | 10.00560 | 10.79698 | 9.20862 | 10.79138 | 49 |
12 | 9.20379·7 | 1299 | 9.99437·7 | 33 | 10.00562 | 10.79620 | 9.20942 | 10.79058 | 48 |
13 | 9.20457·7 | 1296 | 9.99435·7 | 35 | 10.00564 | 10.79542 | 9.21022 | 10.78978 | 47 |
14 | 9.20535·4 | 1294 | 9.99433·6 | 33 | 10.00566 | 10.79465 | 9.21102 | 10.78898 | 46 |
15 | 9.20613·1 | 1292 | 9.99431·6 | 35 | 10.00568 | 10.79387 | 9.21182 | 10.78818 | 45 |
16 | 9.20690·6 | 1289 | 9.99429·5 | 35 | 10.00571 | 10.79309 | 9.21261 | 10.78739 | 44 |
17 | 9.20767·9 | 1287 | 9.99427·4 | 33 | 10.00573 | 10.79232 | 9.21341 | 10.78659 | 43 |
18 | 9.20845·2 | 1285 | 9.99425·4 | 35 | 10.00575 | 10.79155 | 9.21420 | 10.78580 | 42 |
19 | 9.20922·2 | 1282 | 9.99423·3 | 35 | 10.00577 | 10.79078 | 9.21499 | 10.78501 | 41 |
20 | 9.20999·2 | 1280 | 9.99421·2 | 35 | 10.00579 | 10.79001 | 9.21578 | 10.78422 | 40 |
21 | 9.21076·0 | 1278 | 9.99419·1 | 33 | 10.00581 | 10.78924 | 9.21657 | 10.78343 | 39 |
22 | 9.21152·6 | 1275 | 9.99417·1 | 35 | 10.00583 | 10.78847 | 9.21736 | 10.78264 | 38 |
23 | 9.21229·1 | 1273 | 9.99415·0 | 35 | 10.00585 | 10.78771 | 9.21814 | 10.78186 | 37 |
24 | 9.21305·5 | 1271 | 9.99412·9 | 35 | 10.00587 | 10.78694 | 9.21893 | 10.78107 | 36 |
25 | 9.21381·8 | 1268 | 9.99410·8 | 35 | 10.00589 | 10.78618 | 9.21971 | 10.78029 | 35 |
26 | 9.21457·9 | 1266 | 9.99408·7 | 35 | 10.00591 | 10.78542 | 9.22049 | 10.77951 | 34 |
27 | 9.21533·8 | 1264 | 9.99406·6 | 35 | 10.00593 | 10.78466 | 9.22127 | 10.77873 | 33 |
28 | 9.21609·7 | 1261 | 9.99404·5 | 35 | 10.00596 | 10.78390 | 9.22205 | 10.77795 | 32 |
29 | 9.21685·4 | 1259 | 9.99402·4 | 35 | 10.00598 | 10.78315 | 9.22283 | 10.77717 | 31 |
30 | 9.21760·9 | 1257 | 9.99400·3 | 35 | 10.00600 | 10.78239 | 9.22361 | 10.77639 | 30 |
31 | 9.21836·3 | 1255 | 9.99398·2 | 37 | 10.00602 | 10.78164 | 9.22438 | 10.77562 | 29 |
32 | 9.21911·6 | 1253 | 9.99396·0 | 35 | 10.00604 | 10.78088 | 9.22516 | 10.77484 | 28 |
33 | 9.21986·8 | 1250 | 9.99393·9 | 35 | 10.00606 | 10.78013 | 9.22593 | 10.77407 | 27 |
34 | 9.22061·8 | 1248 | 9.99391·8 | 35 | 10.00608 | 10.77938 | 9.22670 | 10.77330 | 26 |
35 | 9.22136·7 | 1246 | 9.99389·7 | 37 | 10.00610 | 10.77863 | 9.22747 | 10.77253 | 25 |
36 | 9.22211·5 | 1244 | 9.99387·5 | 35 | 10.00612 | 10.77789 | 9.22824 | 10.77176 | 24 |
37 | 9.22286·1 | 1242 | 9.99385·4 | 37 | 10.00615 | 10.77714 | 9.22901 | 10.77099 | 23 |
38 | 9.22360·6 | 1239 | 9.99383·2 | 35 | 10.00617 | 10.77639 | 9.22977 | 10.77023 | 22 |
39 | 9.22434·9 | 1237 | 9.99381·1 | 37 | 10.00619 | 10.77565 | 9.23054 | 10.76946 | 21 |
40 | 9.22509·2 | 1235 | 9.99378·9 | 35 | 10.00621 | 10.77491 | 9.23130 | 10.76870 | 20 |
41 | 9.22583·3 | 1233 | 9.99376·8 | 37 | 10.00623 | 10.77417 | 9.23206 | 10.76794 | 19 |
42 | 9.22657·3 | 1231 | 9.99374·6 | 35 | 10.00625 | 10.77343 | 9.23283 | 10.76717 | 18 |
43 | 9.22731·1 | 1228 | 9.99372·5 | 37 | 10.00628 | 10.77269 | 9.23359 | 10.76641 | 17 |
44 | 9.22804·8 | 1226 | 9.99370·3 | 37 | 10.00630 | 10.77195 | 9.23435 | 10.76565 | 16 |
45 | 9.22878·4 | 1224 | 9.99080·1 | 35 | 10.00632 | 10.77122 | 9.23510 | 10.76490 | 15 |
46 | 9.22951·8 | 1222 | 9.99366·0 | 37 | 10.00634 | 10.77048 | 9.23586 | 10.76414 | 14 |
47 | 9.23025·2 | 1220 | 9.99363·8 | 37 | 10.00636 | 10.76975 | 9.23661 | 10.76339 | 13 |
48 | 9.23098·4 | 1218 | 9.99361·6 | 37 | 10.00638 | 10.76902 | 9.23737 | 10.76263 | 12 |
49 | 9.23171·5 | 1216 | 9.99359·4 | 37 | 10.00641 | 10.76829 | 9.23812 | 10.76188 | 11 |
50 | 9.23244·4 | 1214 | 9.99357·2 | 37 | 10.00643 | 10.76756 | 9.23887 | 10.76113 | 10 |
51 | 9.23317·2 | 1212 | 9.99355·0 | 37 | 10.00645 | 10.76683 | 9.23962 | 10.76038 | 9 |
52 | 9.23389·9 | 1209 | 9.99352·8 | 37 | 10.00647 | 10.76610 | 9.24037 | 10.75963 | 8 |
53 | 9.23462·5 | 1207 | 9.99350·6 | 37 | 10.00649 | 10.76538 | 9.24112 | 10.75888 | 7 |
54 | 9.23534·9 | 1205 | 9.99348·4 | 37 | 10.00652 | 10.76465 | 9.24186 | 10.75814 | 6 |
55 | 9.23607·3 | 1203 | 9.99346·2 | 37 | 10.00654 | 10.76393 | 9.24261 | 10.75739 | 5 |
56 | 9.23679·5 | 1201 | 9.99344·0 | 37 | 10.00656 | 10.76321 | 9.24335 | 10.75665 | 4 |
57 | 9.23751·5 | 1199 | 9.99341·8 | 37 | 10.00658 | 10.76248 | 9.24410 | 10.75590 | 3 |
58 | 9.23823·5 | 1197 | 9.99339·6 | 37 | 10.00660 | 10.76177 | 9.24484 | 10.75516 | 2 |
59 | 9.23895·3 | 1195 | 9.99337·4 | 38 | 10.00663 | 10.76105 | 9.24558 | 10.75442 | 1 |
60 | 9.23967·0 | 9.99335·1 | 10.00665 | 10.76033 | 9.24632 | 10.75368 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
80 Degrees. |
[page] 118
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
10 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.23967·0 | 1193 | 9.99335·1 | 37 | 10.00665 | 10.76033 | 9.24632 | 10.75368 | 60 |
1 | 9.24038·6 | 1191 | 9.99332·9 | 37 | 10.00667 | 10.75961 | 9.24706 | 10.75294 | 59 |
2 | 9.24110·1 | 1189 | 9.99330·7 | 38 | 10.00669 | 10.75890 | 9.24779 | 10.75221 | 58 |
3 | 9.24181·4 | 1187 | 9.99328·4 | 37 | 10.00672 | 10.75819 | 9.24853 | 10.75147 | 57 |
4 | 9.24252·6 | 1185 | 9.99326·2 | 37 | 10.00674 | 10.75747 | 9.24926 | 10.75074 | 56 |
5 | 9.24323·7 | 1183 | 9.99324·0 | 38 | 10.00676 | 10.75676 | 9.25000 | 10.75000 | 55 |
6 | 9.24394·7 | 1181 | 9.99321·7 | 37 | 10.00678 | 10.75605 | 9.25073 | 10.74927 | 54 |
7 | 9.24465·6 | 1179 | 9.99319·5 | 38 | 10.00681 | 10.75534 | 9.25146 | 10.74854 | 53 |
8 | 9.24536·3 | 1177 | 9.99317·2 | 38 | 10.00683 | 10.75464 | 9.25219 | 10.74781 | 52 |
9 | 9.24606·9 | 1175 | 9.99314·9 | 37 | 10.00685 | 10.75393 | 9.25292 | 10.74708 | 51 |
10 | 9.24677·5 | 1173 | 9.99312·7 | 38 | 10.00687 | 10.75323 | 9.25365 | 10.74635 | 50 |
11 | 9.24747·8 | 1171 | 9.99310·4 | 38 | 10.00690 | 10.75252 | 9.25437 | 10.74563 | 49 |
12 | 9.24818·1 | 1169 | 9.99308·1 | 37 | 10.00692 | 10.75182 | 9.25510 | 10.74490 | 48 |
13 | 9.24888·3 | 1167 | 9.99305·9 | 38 | 10.00694 | 10.75112 | 9.25582 | 10.74418 | 47 |
14 | 9.24958·3 | 1165 | 9.99303·6 | 38 | 10.00696 | 10.75042 | 9.25655 | 10.74345 | 46 |
15 | 9.25028·2 | 1163 | 9.99301·3 | 38 | 10.00699 | 10.74972 | 9.25727 | 10.74273 | 45 |
16 | 9.25098·0 | 1161 | 9.99299·0 | 38 | 10.00701 | 10.74902 | 9.25799 | 10.74201 | 44 |
17 | 9.25167·7 | 1159 | 9.99296·7 | 38 | 10.00703 | 10.74832 | 9.25879 | 10.74129 | 43 |
18 | 9.25237·3 | 1158 | 9.99294·4 | 38 | 10.00706 | 10.74763 | 9.25943 | 10.74057 | 42 |
19 | 9.25306·7 | 1156 | 9.99292·1 | 38 | 10.00708 | 10.74693 | 9.26015 | 10.73985 | 41 |
20 | 9.25376·1 | 1154 | 9.99289·8 | 38 | 10.00710 | 10.74624 | 9.26086 | 10.73914 | 40 |
21 | 9.25445·3 | 1152 | 9.99287·5 | 38 | 10.00712 | 10.74555 | 9.26158 | 10.73842 | 39 |
22 | 9.25514·4 | 1150 | 9.99285·2 | 38 | 10.00715 | 10.74486 | 9.26229 | 10.73771 | 38 |
23 | 9.25583·4 | 1148 | 9.99282·9 | 38 | 10.00717 | 10.74417 | 9.26301 | 10.73699 | 37 |
24 | 9.25652·3 | 1146 | 9.99280·6 | 38 | 10.00719 | 10.74348 | 9.26372 | 10.73628 | 36 |
25 | 9.25721·1 | 1144 | 9.99278·3 | 40 | 10.00722 | 10.74279 | 9.26443 | 10.73557 | 35 |
26 | 9.25789·8 | 1142 | 9.99275·9 | 38 | 10.00724 | 10.74210 | 9.26514 | 10.73486 | 34 |
27 | 9.25858·3 | 1141 | 9.99273·6 | 38 | 10.00726 | 10.74142 | 9.26585 | 10.73415 | 33 |
28 | 9.25926·8 | 1139 | 9.99271·3 | 38 | 10.00729 | 10.74073 | 9.26655 | 10.73345 | 32 |
29 | 9.25995·1 | 1137 | 9.99269·0 | 40 | 10.00731 | 10.74005 | 9.26726 | 10.73274 | 31 |
30 | 9.26063·3 | 1135 | 9.99266·6 | 38 | 10.00733 | 10.73937 | 9.26797 | 10.73203 | 30 |
31 | 9.26131·4 | 1133 | 9.99264·3 | 40 | 10.00736 | 10.73869 | 9.26867 | 10.73133 | 29 |
32 | 9.26199·4 | 1131 | 9.99261·9 | 38 | 10.00738 | 10.73801 | 9.26937 | 10.73063 | 28 |
33 | 9.26267·3 | 1130 | 9.99259·6 | 40 | 10.06740 | 10.73733 | 9.27008 | 10.72992 | 27 |
34 | 9.26335·1 | 1128 | 9.99257·2 | 38 | 10.00743 | 10.73665 | 9.27078 | 10.72922 | 26 |
35 | 9.26402·7 | 1126 | 9.99254·9 | 40 | 10.00745 | 10.73557 | 9.27148 | 10.72852 | 25 |
36 | 9.26470·3 | 1124 | 9.99252·5 | 40 | 10.00748 | 10.73530 | 9.27218 | 10.72782 | 24 |
37 | 9.26537·7 | 1122 | 9.99250·1 | 38 | 10.00750 | 10.73462 | 9.27288 | 10.72712 | 23 |
38 | 9.26605·1 | 1120 | 9.99247·8 | 40 | 10.00752 | 10.73395 | 9.27357 | 10.72643 | 22 |
39 | 9.26672·3 | 1119 | 9.99245·4 | 40 | 10.00755 | 10.73328 | 9.27427 | 10.72573 | 21 |
40 | 9.26739·5 | 1117 | 9.99243·0 | 40 | 10.00757 | 10.73261 | 9.27496 | 10.72504 | 20 |
41 | 9.26806·5 | 1115 | 9.99240·6 | 40 | 10.00759 | 10.73194 | 9.27566 | 10.72434 | 19 |
42 | 9.26873·4 | 1113 | 9.99238·2 | 38 | 10.00762 | 10.73127 | 9.27635 | 10.72365 | 18 |
43 | 9.26940·2 | 1111 | 9.99235·9 | 40 | 10.00764 | 10.73060 | 9.27704 | 10.72296 | 17 |
44 | 9.27008·9 | 1110 | 9.99233·5 | 40 | 10.00767 | 10.72993 | 9.27773 | 10.72227 | 16 |
45 | 9.27073·5 | 1108 | 9.99231·1 | 40 | 10.00769 | 10.72927 | 9.27842 | 10.72158 | 15 |
46 | 9.27140·0 | 1106 | 9.99228·7 | 40 | 10.00771 | 10.72860 | 9.27911 | 10.72089 | 14 |
47 | 9.27206·4 | 1105 | 9.99226·3 | 40 | 10.00774 | 10.72794 | 9.27980 | 10.72020 | 13 |
48 | 9.27272·6 | 1103 | 9.99223·9 | 42 | 10.00776 | 10.72727 | 9.28049 | 10.71951 | 12 |
49 | 9.27338·8 | 1101 | 9.99221·4 | 40 | 10.00779 | 10.72661 | 9.28117 | 10.71883 | 11 |
50 | 9.27404·9 | 1099 | 9.99219·0 | 40 | 10.00781 | 10.72595 | 9.28186 | 10.71814 | 10 |
51 | 9.27470·8 | 1098 | 9.99216·6 | 40 | 10.00783 | 10.72529 | 9.28254 | 10.71746 | 9 |
52 | 9.27536·7 | 1096 | 9.99214·2 | 40 | 10.00786 | 10.72463 | 9.28323 | 10.71677 | 8 |
53 | 9.27602·5 | 1094 | 9.99211·8 | 42 | 10.00788 | 10.72398 | 9.28391 | 10.71609 | 7 |
54 | 9.27668·1 | 1092 | 9.99209·3 | 40 | 10.00791 | 10.72332 | 9.28459 | 10.71541 | 6 |
55 | 9.27733·7 | 1091 | 9.99206·9 | 42 | 10.00793 | 10.72266 | 9.28527 | 10.71473 | 5 |
56 | 9.27799·1 | 1089 | 9.99204·4 | 40 | 10.00796 | 10.72201 | 9.28595 | 10.71405 | 4 |
57 | 9.27864·5 | 1087 | 9.99202·0 | 40 | 10.00798 | 10.72136 | 9.28662 | 10.71338 | 3 |
58 | 9.27929·7 | 1086 | 9.99199·6 | 42 | 10.00800 | 10.72070 | 9.28730 | 10.71270 | 2 |
59 | 9.27994·8 | 1084 | 9.99197·1 | 40 | 10.00803 | 10.72005 | 9.28798 | 10.71202 | 1 |
60 | 9.28059·9 | 9.99194·7 | 10.00805 | 10.71940 | 9.28865 | 10.71135 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
79 Degrees. |
[page] 119
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
11 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.28059·9 | 1082 | 9.99194·7 | 42 | 10.00805 | 10.71940 | 9.28865 | 10.71135 | 60 |
1 | 9.28124·8 | 1081 | 9.99192·2 | 42 | 10.00808 | 10.71875 | 9.28933 | 10.71067 | 59 |
2 | 9.28189·7 | 1079 | 9.99189·7 | 40 | 10.00810 | 10.71810 | 9.29000 | 10.71000 | 58 |
3 | 9.28254·4 | 1077 | 9.99187·3 | 42 | 10.00813 | 10.71746 | 9.29067 | 10.70933 | 57 |
4 | 9.28319·0 | 1076 | 9.99184·8 | 42 | 10.00815 | 10.71681 | 9.29134 | 10.70866 | 56 |
5 | 9.28383·6 | 1074 | 9.99182·3 | 40 | 10.00818 | 10.71616 | 9.29201 | 10.70799 | 55 |
6 | 9.28448·0 | 1072 | 9.99179·9 | 42 | 10.00820 | 10.71552 | 9.29268 | 10.70732 | 54 |
7 | 9.28512·4 | 1071 | 9.99177·4 | 42 | 10.00823 | 10.71488 | 9.29335 | 10.70665 | 53 |
8 | 9.28576·6 | 1069 | 9.99174·9 | 42 | 10.00825 | 10.71423 | 9.29402 | 10.70598 | 52 |
9 | 9.28640·8 | 1067 | 9.99172·4 | 42 | 10.00828 | 10.71359 | 9.29468 | 10.70532 | 51 |
10 | 9.28704·8 | 1066 | 9.99169·9 | 42 | 10.00830 | 10.71295 | 9.29535 | 10.70465 | 50 |
11 | 9.28768·8 | 1064 | 9.99167·4 | 41 | 10.00833 | 10.71231 | 9.29601 | 10.70399 | 49 |
12 | 9.28832·6 | 1063 | 9.99164·9 | 42 | 10.00835 | 10.71167 | 9.29668 | 10.70332 | 48 |
13 | 9.28896·4 | 1061 | 9.99162·4 | 42 | 10.00838 | 10.71104 | 9.29734 | 10.70206 | 47 |
14 | 9.28960·0 | 1059 | 9.99159·9 | 42 | 10.00840 | 10.71040 | 9.29800 | 10.70200 | 46 |
15 | 9.29023·6 | 1058 | 9.99157·4 | 42 | 10.00843 | 10.70976 | 9.29866 | 10.70134 | 45 |
16 | 9.29087·0 | 1056 | 9.99154·9 | 42 | 10.00845 | 10.70913 | 9.29932 | 10.70068 | 44 |
17 | 9.29150·4 | 1054 | 9.99152·4 | 43 | 10.00848 | 10.70850 | 9.29998 | 10.70002 | 43 |
18 | 9.29213·7 | 1053 | 9.99149·8 | 42 | 10.00850 | 10.70786 | 9.30064 | 10.69936 | 42 |
19 | 9.29276·8 | 1051 | 9.99147·3 | 42 | 10.00853 | 10.70723 | 9.30130 | 10.69870 | 41 |
20 | 9.29339·9 | 1050 | 9.99144·8 | 43 | 10.00855 | 10.70660 | 9.30195 | 10.69805 | 40 |
21 | 9.29402·9 | 1048 | 9.99142·2 | 42 | 10.00858 | 10.70597 | 9.30261 | 10.69739 | 39 |
22 | 9.29465·8 | 1046 | 9.99139·7 | 42 | 10.00860 | 10.70534 | 9.30326 | 10.69674 | 38 |
23 | 9.29528·6 | 1045 | 9.99137·2 | 43 | 10.00863 | 10.70471 | 9.30391 | 10.69609 | 37 |
24 | 9.29591·3 | 1043 | 9.99134·6 | 42 | 10.00865 | 10.70409 | 9.30457 | 10.69543 | 36 |
25 | 9.29653·9 | 1042 | 9.99132·1 | 43 | 10.00868 | 10.70346 | 9.30522 | 10.69478 | 35 |
26 | 9.29716·4 | 1040 | 9.99129·5 | 42 | 10.00870 | 10.70284 | 9.30587 | 10.69413 | 34 |
27 | 9.29778·8 | 1039 | 9.99127·0 | 43 | 10.00873 | 10.70221 | 9.30652 | 10.69348 | 33 |
28 | 9.29841·2 | 1037 | 9.99124·4 | 43 | 10.00876 | 10.70159 | 9.30717 | 10.69283 | 32 |
29 | 9.29903·4 | 1036 | 9.99121·8 | 42 | 10.00878 | 10.70097 | 9.30782 | 10.69218 | 31 |
30 | 9.29965·5 | 1034 | 9.99119·3 | 43 | 10.00881 | 10.70034 | 9.30846 | 10.69154 | 30 |
31 | 9.30027·6 | 1032 | 9.99116·7 | 43 | 10.00883 | 10.69972 | 9.30911 | 10.69089 | 29 |
32 | 9.30089·5 | 1031 | 9.99114·1 | 43 | 10.00886 | 10.69910 | 9.30975 | 10.69025 | 28 |
33 | 9.30151·4 | 1029 | 9.99111·5 | 42 | 10.00888 | 10.69849 | 9.31040 | 10.68960 | 27 |
34 | 9.30213·2 | 1028 | 9.99109·0 | 43 | 10.00891 | 10.69787 | 9.31104 | 10.68896 | 26 |
35 | 9.30274·8 | 1026 | 9.99106·4 | 43 | 10.00894 | 10.69725 | 9.51168 | 10.68832 | 25 |
36 | 9.30336·4 | 1025 | 9.99103·8 | 45 | 10.00896 | 10.69664 | 9.31233 | 10.68767 | 24 |
37 | 9.30397·9 | 1023 | 9.99101·2 | 43 | 10.00899 | 10.69602 | 9.31297 | 10.68703 | 23 |
38 | 9.30459·3 | 1022 | 9.99098·6 | 43 | 10.00901 | 10.69541 | 9.31361 | 10.68639 | 22 |
39 | 9.30520·7 | 1020 | 9.99096·0 | 42 | 10.00904 | 10.69479 | 9.31425 | 10.68575 | 21 |
40 | 8.30581·9 | 1019 | 9.99093·4 | 43 | 10.00907 | 10.69418 | 9.31489 | 10.68510 | 20 |
41 | 9.30643·0 | 1017 | 9.99090·8 | 43 | 10.00909 | 10.69357 | 9.31552 | 10.68448 | 19 |
42 | 9.30704·1 | 1016 | 9.99088·2 | 45 | 10.00912 | 10.69296 | 9.31616 | 10.68384 | 18 |
43 | 9.30765·0 | 1014 | 9.99085·5 | 43 | 10.00914 | 10.69235 | 9.31679 | 10.68321 | 17 |
44 | 9.30825·9 | 1013 | 9.99082·9 | 43 | 10.00917 | 10.69174 | 9.31743 | 10.68257 | 16 |
45 | 9.30886·7 | 1011 | 9.99080·3 | 43 | 10.00920 | 10.69113 | 9.31806 | 10.68194 | 15 |
46 | 9.30947·4 | 1010 | 9.99077·7 | 45 | 10.00922 | 10.69053 | 9.31870 | 10.68130 | 14 |
47 | 9.31008·0 | 1008 | 9.99075·0 | 43 | 10.00925 | 10.68992 | 9.31933 | 10.68067 | 13 |
48 | 9.31068·5 | 1007 | 9.99072·4 | 45 | 10.00928 | 10.68932 | 9.31996 | 10.68004 | 12 |
49 | 9.31128·9 | 1005 | 9.99069·7 | 43 | 10.00930 | 10.68871 | 9.32059 | 10.67941 | 11 |
50 | 9.31189·3 | 1004 | 9.99067·1 | 43 | 10.00933 | 10.68811 | 9.32122 | 10.67878 | 10 |
51 | 9.31249·5 | 1003 | 9.99064·5 | 45 | 10.00936 | 10.68750 | 9.32185 | 10.67815 | 9 |
52 | 9.31309·7 | 1001 | 9.99061·8 | 45 | 10.00938 | 10.68690 | 9.32248 | 10.67752 | 8 |
53 | 9.31369·8 | 1000 | 9.99059·1 | 43 | 10.00941 | 10.68630 | 9.32311 | 10.67689 | 7 |
54 | 9.31429·7 | 998 | 9.99056·5 | 45 | 10.00944 | 10.68570 | 9.32373 | 10.67627 | 6 |
55 | 9.31489·7 | 997 | 9.99053·8 | 45 | 10.00946 | 10.68510 | 9.32436 | 10.67564 | 5 |
56 | 9.31549·5 | 996 | 9.99051·1 | 43 | 10.00949 | 10.68451 | 9.32498 | 10.67502 | 4 |
57 | 9.31609·2 | 994 | 9.99048·5 | 45 | 10.00952 | 10.68391 | 9.32561 | 10.67439 | 3 |
58 | 9.31668·9 | 993 | 9.99045·8 | 45 | 10.00954 | 10.68331 | 9.32623 | 10.67377 | 2 |
59 | 9.31728·4 | 991 | 9.99043·1 | 45 | 10.00957 | 10.68272 | 9.32685 | 10.67315 | 1 |
60 | 9.31787·9 | 9.99040·4 | 10.00960 | 10.68212 | 9.32747 | 10.67253 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
78 Degrees. |
[page] 120
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
12 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.31787·9 | 990 | 9.99040·4 | 43 | 10.00960 | 10.68212 | 9.32747 | 10.67253 | 60 |
1 | 9.31847·3 | 988 | 9.99037·8 | 45 | 10.00962 | 10.68153 | 9.32810 | 10.67190 | 59 |
2 | 9.31906·6 | 987 | 9.09035·1 | 45 | 10.00965 | 10.68093 | 9.32872 | 10.67128 | 58 |
3 | 9.31965·8 | 986 | 9.99032·4 | 45 | 10.00968 | 10.68034 | 9.32935 | 10.67067 | 57 |
4 | 9.32024·9 | 984 | 9.99029·7 | 45 | 10.00970 | 10.67975 | 9.32995 | 10.67005 | 56 |
5 | 9.32084·0 | 983 | 9.99027·0 | 45 | 10.00973 | 10.67916 | 9.33057 | 10.66943 | 55 |
6 | 9.32143·0 | 982 | 9.99024·3 | 47 | 10.00976 | 10.67857 | 9.33119 | 10.66881 | 54 |
7 | 9.32201·9 | 980 | 9.99021·5 | 45 | 10.00978 | 10.67798 | 9.33180 | 10.66820 | 53 |
8 | 9.32260·7 | 979 | 9.99018·8 | 45 | 10.00981 | 10.67739 | 9.33242 | 10.66758 | 52 |
9 | 9.32319·4 | 977 | 9.99016·1 | 45 | 10.00984 | 10.67681 | 9.33303 | 10.66697 | 51 |
10 | 9.32378·0 | 976 | 9.99013·4 | 45 | 10.00987 | 10.67622 | 9.33365 | 10.66635 | 50 |
11 | 9.32436·6 | 975 | 9.99010·7 | 47 | 10.00989 | 10.67565 | 9.33426 | 10.66574 | 49 |
12 | 9.32495·0 | 973 | 9.99007·9 | 45 | 10.00992 | 10.67505 | 9.33487 | 10.66513 | 48 |
13 | 9.25530·4 | 972 | 9.99005·2 | 45 | 10.00995 | 10.67447 | 9.33548 | 10.66452 | 47 |
14 | 9.32611·7 | 970 | 9.99002·5 | 47 | 10.00998 | 10.67388 | 9.33609 | 10.66391 | 46 |
15 | 9.32670·0 | 969 | 9.98999·7 | 45 | 10.01000 | 10.67330 | 9.33670 | 10.66330 | 45 |
16 | 9.32728·1 | 968 | 9.98997·0 | 47 | 10.01003 | 10.67272 | 9.33731 | 10.66269 | 44 |
17 | 9.32786·2 | 966 | 9.98994·2 | 45 | 10.01006 | 10.67214 | 9.33792 | 10.66208 | 43 |
18 | 9.32844·2 | 965 | 9.98991·5 | 47 | 10.01009 | 10.67156 | 9.33853 | 10.66147 | 42 |
19 | 9.32902·1 | 964 | 9.98988·7 | 45 | 10.01011 | 10.67098 | 9.33913 | 10.66087 | 41 |
20 | 9.32959·9 | 962 | 9.98986·0 | 47 | 10.01014 | 10.67040 | 9.33974 | 10.66026 | 40 |
21 | 9.33017·6 | 961 | 9.98983·2 | 47 | 10.01017 | 10.66982 | 9.34034 | 10.65966 | 39 |
22 | 9.33075·3 | 960 | 9.98980·4 | 45 | 10.01020 | 10.66925 | 9.34095 | 10.65905 | 38 |
23 | 9.33132·9 | 958 | 9.98977·7 | 47 | 10.01022 | 10.66867 | 9.34155 | 10.65845 | 37 |
24 | 9.33190·3 | 957 | 9.98974·9 | 47 | 10.01025 | 10.66810 | 9.34215 | 10.65785 | 36 |
25 | 9.33247·8 | 956 | 9.98972·1 | 47 | 10.01028 | 10.66752 | 9.34276 | 10.65724 | 35 |
26 | 9.33305·1 | 954 | 9.98969·3 | 47 | 10.01031 | 10.66695 | 9.34336 | 10.65664 | 34 |
27 | 9.33362·4 | 953 | 9.98966·5 | 47 | 10.01033 | 10.66638 | 9.34396 | 10.65604 | 33 |
28 | 9.33419·5 | 952 | 9.98963·7 | 45 | 10.01036 | 10.66580 | 9.34456 | 10.65544 | 32 |
29 | 9.33476·7 | 950 | 9.98961·0 | 47 | 10.01039 | 10.66523 | 9.34516 | 10.65484 | 31 |
30 | 9.33533·7 | 949 | 9.98958·2 | 48 | 10.01042 | 10.66466 | 9.34576 | 10.65424 | 30 |
31 | 9.33590·6 | 948 | 9.98955·3 | 47 | 10.01045 | 10.66409 | 9.34635 | 10.65365 | 29 |
32 | 9.33647·5 | 946 | 9.98952·5 | 47 | 10.01047 | 10.66353 | 9.34695 | 10.65305 | 28 |
33 | 9.33704·3 | 945 | 9.98949·7 | 47 | 10.01050 | 10.66296 | 9.34755 | 10.65245 | 27 |
34 | 9.33761·0 | 944 | 9.98946·9 | 47 | 10.01053 | 10.66239 | 9.34814 | 10.65186 | 26 |
35 | 9.33817·6 | 943 | 9.98944·1 | 47 | 10.01056 | 10.66182 | 9.34874 | 10.65126 | 25 |
36 | 9.33874·2 | 941 | 9.98941·3 | 47 | 10.01059 | 10.66126 | 9.34933 | 10.65067 | 24 |
37 | 9.33930·7 | 940 | 9.98938·5 | 48 | 10.01062 | 10.66069 | 9.34992 | 10.65008 | 23 |
38 | 9.33987·1 | 939 | 9.98935·6 | 47 | 10.01064 | 10.66013 | 9.35051 | 10.64949 | 22 |
39 | 9.34043·4 | 937 | 9.98932·8 | 47 | 10.01067 | 10.65957 | 9.35111 | 10.64889 | 21 |
40 | 9.34099·6 | 936 | 9.98930·0 | 48 | 10.01070 | 10.65900 | 9.35170 | 10.64830 | 20 |
41 | 9.34155·8 | 935 | 9.98927·1 | 47 | 10.01073 | 10.65844 | 9.35229 | 10.64771 | 19 |
42 | 9.34211·9 | 934 | 9.98924·3 | 48 | 10.01076 | 10.65788 | 9.35288 | 10.64712 | 18 |
43 | 9.34267·9 | 932 | 9.98921·4 | 47 | 10.01079 | 10.65732 | 9.35347 | 10.64653 | 17 |
44 | 9.34323·9 | 931 | 9.98918·6 | 48 | 10.01081 | 10.65676 | 9.35405 | 10.64595 | 16 |
45 | 9.34379·7 | 930 | 9.98915·7 | 48 | 10.01084 | 10.65620 | 9.35464 | 10.64536 | 15 |
46 | 9.34435·5 | 929 | 9.98912·8 | 47 | 10.01087 | 10.65564 | 9.35523 | 10.64477 | 14 |
47 | 9.34491·2 | 927 | 9.98910·0 | 48 | 10.01090 | 10.65509 | 9.35581 | 10.64419 | 13 |
48 | 9.34546·9 | 926 | 9.98907·1 | 48 | 10.01093 | 10.65453 | 9.35640 | 10.64560 | 12 |
49 | 9.34602·4 | 925 | 9.98904·2 | 47 | 10.01096 | 10.65398 | 9.35698 | 10.64302 | 11 |
50 | 9.34657·9 | 924 | 9.98901·4 | 48 | 10.01099 | 10.65342 | 9.35757 | 10.64243 | 10 |
51 | 9.34713·4 | 922 | 9.98898·5 | 48 | 10.01102 | 10.65287 | 9.35815 | 10.64185 | 9 |
52 | 9.54768·7 | 921 | 9.98899·6 | 48 | 10.01104 | 10.65231 | 9.35873 | 10.64127 | 8 |
53 | 9.34824·0 | 920 | 9.98892·7 | 48 | 10.01107 | 10.65176 | 9.35931 | 10.64069 | 7 |
54 | 9.34879·2 | 919 | 9.98889·8 | 48 | 10.01110 | 10.65121 | 9.35989 | 10.64011 | 6 |
55 | 9.34934·3 | 917 | 9.98886·9 | 48 | 10.01113 | 10.65066 | 9.36047 | 10.63953 | 5 |
56 | 9.34989·3 | 916 | 9.98884·0 | 48 | 10.01116 | 10.65011 | 9.36105 | 10.63895 | 4 |
57 | 9.35044·3 | 915 | 9.98881·1 | 48 | 10.01119 | 10.64956 | 9.56163 | 10.63837 | 3 |
58 | 9.35099·2 | 914 | 9.98878·2 | 48 | 10.01122 | 10.64901 | 9.36221 | 10.63779 | 2 |
59 | 9.35154·0 | 913 | 9.98875·3 | 48 | 10.01125 | 10.64846 | 9.36279 | 10.63721 | 1 |
60 | 9.35208·8 | 9.98872·4 | 10.01128 | 10.64791 | 9.36336 | 10.63664 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
77 Degrees. |
[page] 121
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
13 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.35208·8 | 911 | 9.98872·4 | 48 | 10.01128 | 10.64791 | 9.36336 | 10.63664 | 60 |
1 | 9.35263·5 | 910 | 9.98869·5 | 48 | 10.01131 | 10.64737 | 9.36394 | 10.63606 | 59 |
2 | 9.35318·1 | 909 | 9.98866·6 | 50 | 10.01133 | 10.64682 | 9.36452 | 10.63548 | 58 |
3 | 9.35372·6 | 908 | 9.98863·6 | 48 | 10.01136 | 10.64627 | 9.36509 | 10.63491 | 57 |
4 | 9.35427·1 | 907 | 9.98860·7 | 48 | 10.01139 | 10.64573 | 9.36566 | 10.63434 | 56 |
5 | 9.35481·5 | 905 | 9.98857·8 | 50 | 10.01142 | 10.64519 | 9.36624 | 10.63376 | 55 |
6 | 9.35535·8 | 904 | 9.98854·8 | 48 | 10.01145 | 10.64464 | 9.36681 | 10.63319 | 54 |
7 | 9.35590·1 | 903 | 9.98851·9 | 50 | 10.01148 | 10.64410 | 9.36738 | 10.63262 | 53 |
8 | 9.35644·3 | 902 | 9.98848·9 | 48 | 10.01151 | 10.64356 | 9.36795 | 10.63205 | 52 |
9 | 9.35698·4 | 901 | 9.98846·0 | 50 | 10.01154 | 10.64302 | 9.36852 | 10.63148 | 51 |
10 | 9.35752·4 | 899 | 9.98843·0 | 48 | 10.01157 | 10.64248 | 9.36909 | 10.63091 | 50 |
11 | 9.35806·4 | 898 | 9.98840·1 | 50 | 10.01160 | 10.64194 | 9.36966 | 10.63034 | 49 |
12 | 9.35860·3 | 897 | 9.98837·1 | 48 | 10.01163 | 10.64140 | 9.37023 | 10.62977 | 48 |
13 | 9.35914·1 | 896 | 9.98834·2 | 50 | 10.01166 | 10.64086 | 9.37080 | 10.62920 | 47 |
14 | 9.35967·8 | 895 | 9.98831·2 | 50 | 10.01169 | 10.64032 | 9.37137 | 10.62863 | 46 |
15 | 9.36021·5 | 893 | 9.98828·2 | 50 | 10.01172 | 10.63978 | 9.37193 | 10.62807 | 45 |
16 | 9.36075·2 | 892 | 9.98825·2 | 48 | 10.01175 | 10.63925 | 9.37250 | 10.62750 | 44 |
17 | 9.36128·7 | 891 | 9.98822·3 | 50 | 10.01178 | 10.63871 | 9.37306 | 10.62694 | 43 |
18 | 9.36182·2 | 890 | 9.98819·3 | 50 | 10.01181 | 10.63818 | 9.37363 | 10.62637 | 42 |
19 | 9.36235·6 | 889 | 9.98816·3 | 50 | 10.01184 | 10.63764 | 9.37419 | 10.62581 | 41 |
20 | 9.36288·9 | 888 | 9.98813·3 | 50 | 10.01187 | 10.63711 | 9.37476 | 10.62524 | 40 |
21 | 9.36342·2 | 887 | 9.98810·3 | 50 | 10.01190 | 10.63658 | 9.37532 | 10.62468 | 39 |
22 | 9.36395·4 | 885 | 9.98807·3 | 50 | 10.01193 | 10.63605 | 9.37588 | 10.62412 | 38 |
23 | 9.36448·5 | 884 | 9.98804·3 | 50 | 10.01196 | 10.63551 | 9.37644 | 10.62356 | 37 |
24 | 9.36501·6 | 883 | 9.98801·3 | 50 | 10.01199 | 10.63498 | 9.37700 | 10.62300 | 36 |
25 | 9.36554·6 | 882 | 9.98798·3 | 50 | 10.01202 | 10.63445 | 9.37756 | 10.62244 | 35 |
26 | 9.36607·5 | 881 | 9.98795·3 | 52 | 10.01205 | 10.63392 | 9.37812 | 10.62188 | 34 |
27 | 9.36660·4 | 880 | 9.98792·2 | 50 | 10.01208 | 10.63340 | 9.37868 | 10.62132 | 33 |
28 | 9.36713·1 | 879 | 9.98789·2 | 50 | 10.01211 | 10.63287 | 9.37924 | 10.62076 | 32 |
29 | 9.36765·9 | 877 | 9.98786·2 | 50 | 10.01214 | 10.63234 | 9.37980 | 10.62020 | 31 |
30 | 9.36818·5 | 876 | 9.98783·2 | 52 | 10.01217 | 10.63181 | 9.38035 | 10.61965 | 30 |
31 | 9.36871·1 | 875 | 9.98780·1 | 50 | 10.01220 | 10.63129 | 9.38091 | 10.61909 | 29 |
32 | 9.36923·6 | 874 | 9.98777·1 | 51 | 10.01223 | 10.63076 | 9.38147 | 10.61853 | 28 |
33 | 9.36976·1 | 873 | 9.98774·0 | 50 | 10.01226 | 10.63024 | 9.38202 | 10.61798 | 27 |
34 | 9.37028·5 | 872 | 9.98771·0 | 50 | 10.01229 | 10.62972 | 9.38257 | 10.61743 | 26 |
35 | 9.37080·8 | 871 | 9.98767·9 | 50 | 10.01232 | 10.62919 | 9.38313 | 10.61687 | 25 |
36 | 9.37133·0 | 870 | 9.98764·9 | 52 | 10.01235 | 10.62867 | 9.38368 | 10.61632 | 24 |
37 | 9.37185·2 | 869 | 9.98761·8 | 50 | 10.01238 | 10.62815 | 9.38423 | 10.61577 | 23 |
38 | 9.37237·3 | 867 | 9.98758·8 | 52 | 10.01241 | 10.62763 | 9.38479 | 10.61521 | 22 |
39 | 9.37289·4 | 866 | 9.98755·7 | 50 | 10.01244 | 10.62711 | 9.38534 | 10.61466 | 21 |
40 | 9.37341·4 | 865 | 9.98752·6 | 50 | 10.01247 | 10.62659 | 9.38589 | 10.61411 | 20 |
41 | 9.37393·3 | 864 | 9.98749·6 | 52 | 10.01250 | 10.62607 | 9.38644 | 10.61356 | 19 |
42 | 9.37445·2 | 863 | 9.98746·5 | 52 | 10.01254 | 10.62555 | 9.38699 | 10.61301 | 18 |
43 | 9.37497·0 | 862 | 9.98743·4 | 52 | 10.01257 | 10.62503 | 9.38754 | 10.61246 | 17 |
44 | 9.37548·7 | 861 | 9.98740·3 | 52 | 10.01260 | 10.62451 | 9.38808 | 10.61192 | 16 |
45 | 9.37600·3 | 860 | 9.98737·2 | 52 | 10.01263 | 10.62400 | 9.38863 | 10.61137 | 15 |
46 | 9.37651·9 | 859 | 9.98734·1 | 52 | 10.01266 | 10.62348 | 9.38918 | 10.61082 | 14 |
47 | 9.37703·5 | 858 | 9.98731·0 | 52 | 10.01269 | 10.62297 | 9.38972 | 10.61028 | 13 |
48 | 9.37754·9 | 857 | 9.98727·9 | 52 | 10.01272 | 10.62245 | 9.39027 | 10.60973 | 12 |
49 | 9.37806·3 | 856 | 9.98724·8 | 52 | 10.01275 | 10.62194 | 9.39082 | 10.60918 | 11 |
50 | 9.37857·7 | 854 | 9.98721·7 | 52 | 10.01278 | 10.62142 | 9.39136 | 10.60864 | 10 |
51 | 9.37908·9 | 853 | 9.98718·6 | 52 | 10.01281 | 10.62091 | 9.39190 | 10.60810 | 9 |
52 | 9.37960·1 | 852 | 9.98715·5 | 52 | 10.01285 | 10.62040 | 9.39245 | 10.60755 | 8 |
53 | 9.38011·3 | 851 | 9.98712·4 | 53 | 10.01288 | 10.61989 | 9.39299 | 10.60701 | 7 |
54 | 9.38062·4 | 850 | 9.98709·2 | 52 | 10.01291 | 10.61938 | 9.39353 | 10.60647 | 6 |
55 | 9.38113·4 | 849 | 9.98706·1 | 52 | 10.01294 | 10.61887 | 9.39407 | 10.60593 | 5 |
56 | 9.38164·3 | 843 | 9.98703·0 | 52 | 10.01297 | 10.61836 | 9.39461 | 10.60539 | 4 |
57 | 9.38215·2 | 847 | 9.98699·8 | 52 | 10.01300 | 10.61785 | 9.39515 | 10.60485 | 3 |
58 | 9.38266·1 | 846 | 9.98696·7 | 52 | 10.01303 | 10.61734 | 9.39569 | 10.60431 | 2 |
59 | 9.38316·8 | 845 | 9.98693·6 | 53 | 10.01306 | 10.61683 | 9.39623 | 10.60377 | 1 |
60 | 9.38367·5 | 9.98690·4 | 10.01310 | 10.61632 | 9.39677 | 10.60323 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
76 Degrees. |
Q
[page] 122
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
14 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.38367·5 | 844 | 9.98690·4 | 52 | 10.01310 | 10.61632 | 9.39677 | 10.60323 | 60 |
1 | 9.38418·2 | 848 | 9.98687·3 | 53 | 10.01313 | 10.61582 | 9.39731 | 10.60269 | 59 |
2 | 9.38468·7 | 842 | 9.98684·1 | 53 | 10.01316 | 10.61531 | 9.39785 | 10.60215 | 58 |
3 | 9.38519·2 | 841 | 9.98680·9 | 52 | 10.01319 | 10.61481 | 9.39838 | 10.60162 | 57 |
4 | 9.38569·7 | 840 | 9.98677·8 | 53 | 10.01322 | 10.61430 | 9.39892 | 10.60108 | 56 |
5 | 9.38620·1 | 839 | 9.98674·6 | 53 | 10.01325 | 10.61380 | 9.39945 | 10.60051 | 55 |
6 | 9.38670·4 | 838 | 9.98671·4 | 52 | 10.01329 | 10.61330 | 9.39999 | 10.60001 | 54 |
7 | 9.38720·7 | 837 | 9.98668·3 | 53 | 10.01332 | 10.61279 | 9.40052 | 10.59948 | 53 |
8 | 9.38770·9 | 836 | 9.98665·1 | 53 | 10.01335 | 10.61229 | 9.40106 | 10.59894 | 52 |
9 | 9.38821·0 | 835 | 9.98661·9 | 53 | 10.01338 | 10.61179 | 9.40159 | 10.59841 | 51 |
10 | 9.38871·1 | 834 | 9.98658·7 | 53 | 10.01341 | 10.61129 | 9.40212 | 10.59788 | 50 |
11 | 9.38921·1 | 833 | 9.98655·5 | 53 | 10.01344 | 10.61079 | 9.40266 | 10.59734 | 49 |
12 | 9.38971·1 | 832 | 9.98652·3 | 53 | 10.01348 | 10.61029 | 9.40319 | 10.59681 | 48 |
13 | 9.39021·0 | 831 | 9.98649·1 | 53 | 10.01351 | 10.60979 | 9.40372 | 10.59628 | 47 |
14 | 9.39070·8 | 830 | 9.98645·9 | 53 | 10.01354 | 10.60929 | 9.40425 | 10.59575 | 46 |
15 | 9.39120·5 | 828 | 9.98642·7 | 53 | 10.01357 | 10.60879 | 9.40478 | 10.59522 | 45 |
16 | 9.39170·3 | 827 | 9.98639·5 | 53 | 10.01360 | 10.60830 | 9.40531 | 10.59469 | 44 |
17 | 9.59219·9 | 826 | 9.98636·3 | 53 | 10.01364 | 10.60780 | 9.40584 | 10.59416 | 43 |
18 | 9.39269·5 | 825 | 9.98633·1 | 53 | 10.01367 | 10.60730 | 9.40636 | 10.59364 | 42 |
19 | 9.39319·1 | 824 | 9.98629·9 | 55 | 10.01370 | 10.60681 | 9.40689 | 10.59311 | 41 |
20 | 9.39368·5 | 823 | 9.98626·6 | 53 | 10.01373 | 10.60631 | 9.40742 | 10.59258 | 40 |
21 | 9.39417·9 | 822 | 9.98623·4 | 53 | 10.01377 | 10.60582 | 9.40795 | 16.59205 | 39 |
22 | 9.39467·3 | 821 | 9.98620·2 | 55 | 10.01380 | 10.60533 | 9.40847 | 10.59153 | 38 |
23 | 9.39516·6 | 820 | 9.98616·9 | 53 | 10.01383 | 10.60483 | 9.45900 | 10.59100 | 37 |
24 | 9.39565·8 | 819 | 9.98613·7 | 55 | 10.01386 | 10.60434 | 9.40952 | 10.59048 | 36 |
25 | 9.39615·0 | 818 | 9.98610·4 | 55 | 10.01390 | 10.60385 | 9.41005 | 10.58995 | 35 |
26 | 9.39664·1 | 817 | 9.98607·2 | 55 | 10.01393 | 10.60336 | 9.41057 | 10.58943 | 34 |
27 | 9.39713·2 | 817 | 9.98603·9 | 53 | 10.01396 | 10.60287 | 9.41109 | 10.58891 | 33 |
28 | 9.39762·1 | 816 | 9.98600·7 | 55 | 10.01399 | 10.60238 | 9.41161 | 10.58839 | 32 |
29 | 9.39811·1 | 815 | 9.98597·4 | 53 | 10.01403 | 10.60189 | 9.41214 | 10.58786 | 31 |
30 | 9.39860·0 | 814 | 9.98594·3 | 55 | 10.01406 | 10.60140 | 9.41266 | 10.58734 | 30 |
31 | 9.39908·8 | 813 | 9.98590·9 | 55 | 10.01409 | 10.60091 | 9.41318 | 10.58682 | 29 |
32 | 9.39957·5 | 812 | 9.98587·6 | 55 | 10.01412 | 10.60042 | 9.41370 | 10.58630 | 28 |
33 | 9.40006·2 | 811 | 9.98584·3 | 53 | 10.01416 | 10.59994 | 9.41422 | 10.58578 | 27 |
34 | 9.40054·9 | 810 | 9.98581·1 | 55 | 10.01419 | 10.59945 | 9.41474 | 10.58526 | 26 |
35 | 9.40103·5 | 809 | 9.98577·8 | 55 | 10.01422 | 10.59897 | 9.41526 | 10.58474 | 25 |
36 | 9.40152·0 | 808 | 9.98574·5 | 55 | 10.01426 | 10.59848 | 9.41578 | 10.58422 | 24 |
37 | 9.40200·5 | 807 | 9.98571·2 | 55 | 10.01429 | 10.59800 | 9.41629 | 10.58371 | 23 |
38 | 9.40248·9 | 806 | 9.98567·9 | 55 | 10.01432 | 10.59751 | 9.41681 | 10.58319 | 22 |
39 | 9.40297·2 | 805 | 9.98564·6 | 55 | 10.01435 | 10.59703 | 9.41733 | 10.58267 | 21 |
40 | 9.40345·5 | 804 | 9.98561·3 | 55 | 10.01439 | 10.59654 | 9.41784 | 10.58216 | 20 |
41 | 9.40413·8 | 803 | 9.98558·0 | 55 | 10.01442 | 10.59606 | 9.41836 | 10.58164 | 19 |
42 | 9.40443·0 | 802 | 9.98554·7 | 55 | 10.01445 | 10.59558 | 9.41887 | 10.58113 | 18 |
43 | 9.40490·1 | 801 | 9.98551·4 | 57 | 10.01449 | 10.59510 | 9.41939 | 10.58061 | 17 |
44 | 9.40538·2 | 800 | 9.98548·0 | 55 | 10.01452 | 10.59463 | 9.41990 | 10.58010 | 16 |
45 | 9.40586·2 | 799 | 9.98544·7 | 55 | 10.01455 | 10.59414 | 9.42041 | 10.57959 | 15 |
46 | 9.40634·1 | 798 | 9.98541·4 | 55 | 10.01459 | 10.59366 | 9.42093 | 10.57907 | 14 |
47 | 9.40682·0 | 797 | 9.98538·1 | 57 | 10.01462 | 10.59318 | 9.42144 | 10.57856 | 13 |
48 | 9.40729·9 | 796 | 9.98534·7 | 55 | 10.01465 | 10.59370 | 9.43195 | 10.57805 | 12 |
49 | 9.40777·7 | 795 | 9.98531·4 | 57 | 10.01469 | 10.59222 | 9.42346 | 10.57754 | 11 |
50 | 9.40825·4 | 794 | 9.98528·0 | 55 | 10.01472 | 10.59175 | 9.43297 | 10.57703 | 10 |
51 | 9.40873·1 | 794 | 9.98524·7 | 57 | 10.01475 | 10.59137 | 9.42348 | 10.57652 | 9 |
52 | 9.40920·7 | 793 | 9.98521·3 | 55 | 10.01479 | 10.59079 | 9.42399 | 10.57601 | 8 |
53 | 9.40968·2 | 792 | 9.98518·0 | 57 | 10.01482 | 10.59032 | 9.42450 | 10.57550 | 7 |
54 | 9.41015·7 | 791 | 9.98514·6 | 55 | 10.01485 | 10.58984 | 9.42501 | 10.57499 | 6 |
55 | 9.41063·2 | 790 | 9.98511·3 | 57 | 10.01489 | 10.58937 | 9.42552 | 10.57448 | 5 |
56 | 9.41110·0 | 789 | 9.98507·9 | 57 | 10.01491 | 10.58889 | 9.42603 | 10.57397 | 4 |
57 | 9.41157·9 | 788 | 9.98504·5 | 57 | 10.01495 | 10.58842 | 9.42653 | 10.57347 | 3 |
58 | 9.41205·2 | 787 | 9.98501·1 | 55 | 10.01499 | 10.58795 | 9.43704 | 10.57296 | 2 |
59 | 9.41252·4 | 786 | 9.98497·8 | 57 | 10.01502 | 10.58748 | 9.42755 | 10.57245 | 1 |
60 | 9.41299·6 | 9.98404·4 | 10.01506 | 10.58700 | 9.42805 | 10.57195 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
75 Degrees. |
[page] 123
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
15 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.41299·6 | 785 | 9.98494·4 | 57 | 10.01506 | 10.58700 | 9.42805 | 10.57195 | 60 |
1 | 9.41346·7 | 784 | 9.98491·0 | 57 | 10.01509 | 10.58653 | 9.42856 | 10.57144 | 59 |
2 | 9.41393·8 | 783 | 9.98487·6 | 57 | 10.01512 | 10.58606 | 9.42906 | 10.57094 | 58 |
3 | 9.41440·8 | 783 | 9.98484·2 | 57 | 10.01516 | 10.58559 | 9.42957 | 10.57043 | 57 |
4 | 9.41487·8 | 782 | 9.98480·8 | 57 | 10.01519 | 10.58512 | 9.43007 | 10.56993 | 56 |
5 | 9.41534·7 | 781 | 9.98477·4 | 57 | 10.01523 | 10.58465 | 9.43057 | 10.56943 | 55 |
6 | 9.41581·5 | 780 | 9.98474·0 | 57 | 10.01526 | 10.58418 | 9.43108 | 10.56892 | 54 |
7 | 9.41628·3 | 779 | 9.98470·6 | 57 | 10.01529 | 10.58372 | 9.43158 | 10.56842 | 53 |
8 | 9.41675·1 | 778 | 9.98467·2 | 57 | 10.01533 | 10.58325 | 9.43208 | 10.56792 | 52 |
9 | 9.41721·7 | 777 | 9.98463·8 | 58 | 10.01536 | 10.58278 | 9.43258 | 10.56742 | 51 |
10 | 9.41768·4 | 776 | 9.98460·3 | 57 | 10.01540 | 10.58232 | 9.43308 | 10.56692 | 50 |
11 | 9.41815·0 | 775 | 9.98456·9 | 57 | 10.01543 | 10.58185 | 9.43358 | 10.56642 | 49 |
12 | 9.41861·5 | 774 | 9.98453·5 | 58 | 10.01547 | 10.58139 | 9.43408 | 10.56592 | 48 |
13 | 9.41907·9 | 773 | 9.98450·0 | 57 | 10.01550 | 10.58092 | 9.43458 | 10.56542 | 47 |
14 | 9.41954·4 | 773 | 9.98446·6 | 57 | 10.01553 | 10.58046 | 9.43508 | 10.56492 | 46 |
15 | 9.42000·7 | 772 | 9.98443·2 | 58 | 10.01557 | 10.57999 | 9.43558 | 10.56442 | 45 |
16 | 9.42047·0 | 771 | 9.98439·7 | 57 | 10.01560 | 10.57953 | 9.43607 | 10.56393 | 44 |
17 | 9.42093·3 | 770 | 9.98436·3 | 58 | 10.01564 | 10.57907 | 9.43657 | 10.56343 | 43 |
18 | 9.42139·5 | 769 | 9.98432·8 | 58 | 10.01567 | 10.57860 | 9.43707 | 10.56293 | 42 |
19 | 9.42185·7 | 768 | 9.98429·4 | 57 | 10.01571 | 10.57814 | 9.43756 | 10.56244 | 41 |
20 | 9.42231·8 | 767 | 9.98425·9 | 58 | 10.01574 | 10.57768 | 9.43806 | 10.56194 | 40 |
21 | 9.42277·8 | 767 | 9.98422·4 | 57 | 10.01578 | 10.57722 | 9.43855 | 10.56145 | 39 |
22 | 9.42323·8 | 766 | 9.98419·0 | 58 | 10.01581 | 10.57676 | 9.43905 | 10.56095 | 38 |
23 | 9.42369·7 | 765 | 9.98415·5 | 58 | 10.01585 | 10.57630 | 9.43954 | 10.56046 | 37 |
24 | 9.42415·6 | 764 | 9.98412·0 | 58 | 10.01588 | 10.57584 | 9.44004 | 10.55996 | 36 |
25 | 9.42461·5 | 763 | 9.98408·5 | 58 | 10.01591 | 10.57539 | 9.44053 | 10.55947 | 35 |
26 | 9.42507·3 | 762 | 9.98405·0 | 58 | 10.01595 | 10.57493 | 9.44102 | 10.55898 | 34 |
27 | 9.42553·0 | 761 | 9.98401·5 | 57 | 10.01598 | 10.57447 | 9.44151 | 10.55849 | 33 |
28 | 9.42598·7 | 760 | 9.98398·1 | 58 | 10.01602 | 10.57401 | 9.44201 | 10.55799 | 32 |
29 | 9.42644·3 | 760 | 9.98394·6 | 58 | 10.01605 | 10.57356 | 9.44250 | 10.55750 | 31 |
30 | 9.42689·9 | 759 | 9.98391·1 | 60 | 10.01090 | 10.57310 | 9.44299 | 10.55701 | 30 |
31 | 9.42735·4 | 758 | 9.98387·5 | 58 | 10.01612 | 10.57265 | 9.44348 | 10.55652 | 29 |
32 | 9.42780·9 | 757 | 9.98384·0 | 58 | 10.01616 | 10.57219 | 9.44397 | 10.55603 | 28 |
33 | 9.42826·3 | 756 | 9.98380·5 | 58 | 10.01619 | 10.57174 | 9.44446 | 10.55554 | 27 |
34 | 9.42871·7 | 755 | 9.98377·0 | 58 | 10.01623 | 10.57128 | 9.44495 | 10.55505 | 26 |
35 | 9.42917·0 | 754 | 9.98373·5 | 58 | 10.01627 | 10.57083 | 9.44544 | 10.55456 | 25 |
36 | 9.42962·3 | 753 | 9.98370·0 | 60 | 10.01630 | 10.57038 | 9.44592 | 10.55408 | 24 |
37 | 9.43007·5 | 752 | 9.98366·4 | 58 | 10.01634 | 10.56992 | 9.44641 | 10.55359 | 23 |
38 | 9.43052·7 | 752 | 9.98362·9 | 58 | 10.01637 | 10.56947 | 9.44690 | 10.55310 | 22 |
39 | 9.43097·8 | 751 | 9.98359·4 | 60 | 10.01641 | 10.56902 | 9.44738 | 10.55262 | 21 |
40 | 9.43142·9 | 750 | 9.98355·8 | 58 | 10.01644 | 10.56857 | 9.44787 | 10.55213 | 20 |
41 | 9.43187·9 | 749 | 9.98352·3 | 60 | 10.01648 | 10.56812 | 9.44836 | 10.55164 | 19 |
42 | 9.43232·9 | 749 | 9.98348·7 | 58 | 10.01651 | 10.56767 | 9.44884 | 10.55116 | 18 |
43 | 9.43277·8 | 748 | 9.98345·2 | 60 | 10.01655 | 10.56722 | 9.44933 | 10.55067 | 17 |
44 | 9.43322·6 | 747 | 9.98341·6 | 58 | 10.01658 | 10.56677 | 9.44981 | 10.55019 | 16 |
45 | 9.43367·5 | 746 | 9.98338·1 | 60 | 10.01662 | 10.56633 | 9.45029 | 10.54971 | 15 |
46 | 9.43412·2 | 745 | 9.98334·5 | 60 | 10.01666 | 10.56588 | 9.45078 | 10.54922 | 14 |
47 | 9.43456·9 | 744 | 9.98330·9 | 60 | 10.01669 | 10.56543 | 9.45126 | 10.54874 | 13 |
48 | 9.43501·6 | 744 | 9.98327·3 | 58 | 10.01673 | 10.56498 | 9.45174 | 10.54826 | 12 |
49 | 9.43546·2 | 743 | 9.98323·8 | 60 | 10.01676 | 10.56454 | 9.45222 | 10.54778 | 11 |
50 | 9.43590·8 | 742 | 9.98320·2 | 60 | 10.01680 | 10.56409 | 9.45271 | 10.54729 | 10 |
51 | 9.43635·3 | 741 | 9.98316·6 | 60 | 10.01683 | 10.56365 | 9.45319 | 10.54681 | 9 |
52 | 9.43679·8 | 740 | 9.98313·0 | 60 | 10.01687 | 10.56320 | 9.45367 | 10.54633 | 8 |
53 | 9.43724·2 | 740 | 9.98309·4 | 60 | 10.01691 | 10.56276 | 9.45415 | 10.54585 | 7 |
54 | 9.43768·6 | 739 | 9.98305·8 | 60 | 10.01694 | 10.56231 | 9.45463 | 10.54537 | 6 |
55 | 9.43812·9 | 738 | 9.98302·2 | 60 | 10.01698 | 10.56187 | 9.45511 | 10.54489 | 5 |
56 | 9.43857·2 | 737 | 9.98298·6 | 60 | 10.01701 | 10.56143 | 9.45559 | 10.54441 | 4 |
57 | 9.43901·4 | 736 | 9.98295·0 | 60 | 10.01705 | 10.56099 | 9.45606 | 10.54394 | 3 |
58 | 9.43945·6 | 736 | 9.98291·4 | 60 | 10.01709 | 10.56054 | 9.45654 | 10.54346 | 2 |
59 | 9.43989·7 | 735 | 9.98287·8 | 60 | 10.01712 | 10.56010 | 9.45702 | 10.54298 | 1 |
60 | 9.44033·8 | 9.98284·2 | 10.01716 | 10.55966 | 9.45750 | 10.54250 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
74 Degrees. |
Q 2
[page] 124
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
16 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.44033·8 | 734 | 9.98284·2 | 62 | 10.01716 | 10.55966 | 9.45750 | 10.54250 | 60 |
1 | 9.44077·8 | 733 | 9.98280·5 | 60 | 10.01719 | 10.55922 | 9.45797 | 10.54203 | 59 |
2 | 9.44121·8 | 732 | 9.98276·9 | 60 | 10.01723 | 10.55878 | 9.45845 | 10.54155 | 58 |
3 | 9.44165·8 | 731 | 9.98273·3 | 62 | 10.01727 | 10.55834 | 9.45892 | 10.54108 | 57 |
4 | 9.44209·6 | 731 | 9.98269·6 | 60 | 10.01730 | 10.55790 | 9.45940 | 10.54060 | 56 |
5 | 9.44253·5 | 730 | 9.98266·0 | 60 | 10.01734 | 10.55747 | 9.45987 | 10.54013 | 55 |
6 | 9.44297·3 | 729 | 9.98262·4 | 62 | 10.01738 | 10.55703 | 9.46035 | 10.53965 | 54 |
7 | 9.44341·0 | 728 | 9.98258·7 | 60 | 10.01741 | 10.55659 | 9.46082 | 10.53918 | 53 |
8 | 9.44384·7 | 727 | 9.98255·1 | 62 | 10.01745 | 10.55615 | 9.46130 | 10.53870 | 52 |
9 | 9.44428·4 | 727 | 9.98251·4 | 62 | 10.01749 | 10.55572 | 9.46177 | 10.53823 | 51 |
10 | 9.44472·0 | 726 | 9.98347·7 | 60 | 10.01752 | 10.55528 | 9.46224 | 10.53776 | 50 |
11 | 9.44515·5 | 725 | 9.98244·1 | 62 | 10.01756 | 10.55484 | 9.46271 | 10.53729 | 49 |
12 | 9.44559·0 | 724 | 9.98240·4 | 62 | 10.01760 | 10.55441 | 9.46319 | 10.53681 | 48 |
13 | 9.44602·5 | 723 | 9.98236·7 | 60 | 10.01763 | 10.55398 | 9.46366 | 10.53634 | 47 |
14 | 9.44645·9 | 723 | 9.98233·1 | 62 | 10.01767 | 10.55354 | 9.46413 | 10.53587 | 46 |
15 | 9.44689·3 | 722 | 9.98229·4 | 62 | 10.01771 | 10.55311 | 9.46460 | 10.53540 | 45 |
16 | 9.44732·6 | 721 | 9.98225·7 | 62 | 10.01774 | 10.55267 | 9.46507 | 10.53493 | 44 |
17 | 9.44775·9 | 720 | 9.98222·0 | 62 | 10.01778 | 10.55224 | 9.46554 | 10.53446 | 43 |
18 | 9.44819·1 | 720 | 9.98218·3 | 62 | 10.01782 | 10.55181 | 9.46601 | 10.53399 | 42 |
19 | 9.44862·3 | 719 | 9.98214·6 | 62 | 10.01785 | 10.55138 | 9.46648 | 10.53352 | 41 |
20 | 9.44905·4 | 718 | 9.98210·9 | 62 | 10.01789 | 10.55095 | 9.46694 | 10.53306 | 40 |
21 | 9.44948·5 | 717 | 9.98207·2 | 62 | 10.01793 | 10.55052 | 9.46741 | 10.53259 | 39 |
22 | 9.44991·5 | 716 | 9.98203·5 | 62 | 10.01796 | 10.55008 | 9.46788 | 10.53212 | 38 |
23 | 9.45034·5 | 716 | 9.98199·8 | 62 | 10.01800 | 10.54965 | 9.46835 | 10.53165 | 37 |
24 | 9.45077·5 | 715 | 9.98196·1 | 62 | 10.01804 | 10.54923 | 9.46881 | 10.53119 | 36 |
25 | 9.45120·4 | 714 | 9.98192·4 | 63 | 10.01808 | 10.54880 | 9.46928 | 10.53072 | 35 |
26 | 9.45163·2 | 713 | 9.98188·6 | 62 | 10.01811 | 10.54837 | 9.46975 | 10.53025 | 34 |
27 | 9.45206·0 | 713 | 9.98184·9 | 62 | 10.01815 | 10.54794 | 9.47021 | 10.52979 | 33 |
28 | 9.45248·8 | 712 | 9.98181·2 | 63 | 10.01819 | 10.54751 | 9.47068 | 10.52932 | 32 |
29 | 9.45291·5 | 712 | 9.98177·4 | 62 | 10.01823 | 10.54708 | 9.47114 | 10.52886 | 31 |
30 | 9.45334·2 | 710 | 9.98173·7 | 62 | 10.01826 | 10.54666 | 9.47160 | 10.52840 | 30 |
31 | 9.45376·8 | 710 | 9.98170·0 | 63 | 10.01830 | 10.54623 | 9.47207 | 10.52793 | 29 |
32 | 9.45419·4 | 709 | 9.98166·2 | 62 | 10.01834 | 10.54581 | 9.47253 | 10.52747 | 28 |
33 | 9.45461·9 | 708 | 9.98162·5 | 63 | 10.01838 | 10.54538 | 9.47299 | 10.52701 | 27 |
34 | 9.45504·4 | 707 | 9.98158·7 | 63 | 10.01841 | 10.54496 | 9.47346 | 10.52654 | 26 |
35 | 9.45546·9 | 707 | 9.98154·9 | 62 | 10.01845 | 10.54453 | 9.47392 | 10.52608 | 25 |
36 | 9.45589·3 | 706 | 9.98151·2 | 63 | 10.01849 | 10.54411 | 9.47438 | 10.52562 | 24 |
37 | 9.45631·6 | 705 | 9.98147·4 | 63 | 10.01853 | 10.54368 | 9.47484 | 10.52516 | 23 |
38 | 9.45673·9 | 704 | 9.98143·6 | 62 | 10.01856 | 10.54326 | 9.47530 | 10.52470 | 22 |
39 | 9.45716·2 | 704 | 9.98139·9 | 63 | 10.01860 | 10.54284 | 9.47576 | 10.52424 | 21 |
40 | 9.45758·4 | 703 | 9.98136·1 | 63 | 10.01864 | 10.54242 | 9.47622 | 10.52378 | 20 |
41 | 9.45800·6 | 702 | 9.98132·3 | 63 | 10.01868 | 10.54199 | 9.47668 | 10.52332 | 19 |
42 | 9.45842·7 | 701 | 9.98128·5 | 63 | 10.01871 | 10.54157 | 9.47714 | 10.52286 | 18 |
43 | 9.45884·8 | 701 | 9.98124·7 | 63 | 10.01875 | 10.54115 | 9.47760 | 10.52240 | 17 |
44 | 9.45926·8 | 700 | 9.98120·9 | 63 | 10.01879 | 10.54073 | 9.47806 | 10.52194 | 16 |
45 | 9.45968·8 | 699 | 9.98117·1 | 63 | 10.01883 | 10.54031 | 9.47852 | 10.52148 | 15 |
46 | 9.46010·8 | 698 | 9.98113·3 | 63 | 10.01887 | 10.53989 | 9.47897 | 10.52103 | 14 |
47 | 9.46052·7 | 698 | 9.98109·5 | 65 | 10.01890 | 10.53947 | 9.47943 | 10.52057 | 13 |
48 | 9.46094·6 | 697 | 9.98105·7 | 63 | 10.01894 | 10.53905 | 9.47989 | 10.52011 | 12 |
49 | 9.46136·4 | 696 | 9.98101·9 | 65 | 10.01898 | 10.53864 | 9.48035 | 10.51965 | 11 |
50 | 9.46178·2 | 695 | 9.98098·1 | 65 | 10.01902 | 10.53822 | 9.48080 | 10.51920 | 10 |
51 | 9.46219·9 | 695 | 9.98094·2 | 63 | 10.01906 | 10.53780 | 9.48126 | 10.51874 | 9 |
52 | 9.46261·6 | 694 | 9.98090·4 | 63 | 10.01910 | 10.53738 | 9.48171 | 10.51829 | 8 |
53 | 9.46303·2 | 693 | 9.98086·6 | 65 | 10.01913 | 10.53697 | 9.48217 | 10.51783 | 7 |
54 | 9.46344·8 | 693 | 9.98082·7 | 63 | 10.01917 | 10.53655 | 9.48262 | 10.51738 | 6 |
55 | 9.46386·4 | 692 | 9.98078·9 | 65 | 10.01921 | 10.53614 | 9.48307 | 10.51693 | 5 |
56 | 9.46427·9 | 691 | 9.98075·0 | 63 | 10.01925 | 10.53572 | 9.48353 | 10.51647 | 4 |
57 | 9.46469·4 | 690 | 9.98071·2 | 65 | 10.01929 | 10.53531 | 9.48398 | 10.51602 | 3 |
58 | 9.46510·8 | 690 | 9.98067·3 | 63 | 10.01933 | 10.53489 | 9.48443 | 10.51557 | 2 |
59 | 9.46552·2 | 689 | 9.98063·5 | 65 | 10.01937 | 10.53448 | 9.48489 | 10.51511 | 1 |
60 | 9.46593·5 | 9.98059·6 | 10.01940 | 10.53406 | 9.48534 | 10.51466 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
73 Degrees. |
[page] 125
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
17 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.46593·5 | 688 | 9.98059·6 | 63 | 10.01940 | 10.53406 | 9.48534 | 10.51466 | 60 |
1 | 9.46634·8 | 688 | 9.98055·8 | 65 | 10.01944 | 10.53365 | 9.48579 | 10.51421 | 59 |
2 | 9.46676·1 | 687 | 9.98051·9 | 65 | 10.01948 | 10.53324 | 9.48624 | 10.51376 | 58 |
3 | 9.46717·3 | 686 | 9.98048·0 | 63 | 10.01952 | 10.53283 | 9.48669 | 10.51331 | 57 |
4 | 9.46758·5 | 685 | 9.98044·2 | 65 | 10.01956 | 10.53242 | 9.48714 | 10.51286 | 56 |
5 | 9.46799·6 | 685 | 9.98040·3 | 65 | 10.01960 | 10.53200 | 9.48759 | 10.51241 | 55 |
6 | 9.46840·7 | 684 | 9.98036·4 | 65 | 10.01964 | 10.53159 | 9.48804 | 10.51196 | 54 |
7 | 9.46881·7 | 683 | 9.98032·5 | 65 | 10.01968 | 10.53118 | 9.48849 | 10.51151 | 53 |
8 | 9.46922·7 | 683 | 9.98028·6 | 65 | 10.01971 | 10.53077 | 9.48894 | 10.51106 | 52 |
9 | 9.4963·7 | 682 | 9.98024·7 | 65 | 10.01975 | 10.53036 | 9.48939 | 10.51061 | 51 |
10 | 9.47004·6 | 681 | 9.98020·8 | 65 | 10.01979 | 10.52995 | 9.48984 | 10.51016 | 50 |
11 | 9.47045·5 | 680 | 9.98016·9 | 65 | 10.01983 | 10.52955 | 9.49029 | 10.50971 | 49 |
12 | 9.47086·3 | 680 | 9.98013·0 | 65 | 10.01987 | 10.52914 | 9.49073 | 10.50927 | 48 |
13 | 9.47127·1 | 679 | 9.98009·1 | 65 | 10.01991 | 10.52873 | 9.49118 | 10.50882 | 47 |
14 | 9.47167·9 | 678 | 9.98005·2 | 67 | 10.01995 | 10.52832 | 9.49163 | 10.50837 | 46 |
15 | 9.47208·6 | 678 | 9.98001·2 | 65 | 10.01999 | 10.52791 | 9.49207 | 10.50793 | 45 |
16 | 9.47249·2 | 677 | 9.97997·3 | 65 | 10.02003 | 10.52751 | 9.49252 | 10.50748 | 44 |
17 | 9.47289·8 | 676 | 9.97993·4 | 65 | 10.02007 | 10.52710 | 9.49296 | 10.50704 | 43 |
18 | 9.47330·4 | 676 | 9.97989·5 | 67 | 10.02011 | 10.52670 | 9.49341 | 10.50659 | 42 |
19 | 9.47371·0 | 675 | 9.97985·5 | 65 | 10.01014 | 10.52629 | 9.49385 | 10.50615 | 41 |
20 | 9.47411·5 | 674 | 9.97981·6 | 67 | 10.02018 | 10.52589 | 9.49430 | 10.50570 | 40 |
21 | 9.47451·9 | 674 | 9.97977·6 | 65 | 10.02022 | 10.52548 | 9.49474 | 10.50526 | 39 |
22 | 9.47494·3 | 673 | 9.97973·7 | 67 | 10.02026 | 10.52508 | 9.49519 | 10.50481 | 38 |
23 | 9.47532·7 | 672 | 9.97969·7 | 65 | 10.02030 | 10.52467 | 9.49563 | 10.50437 | 37 |
24 | 9.47573·0 | 672 | 9.97965·8 | 67 | 10.02034 | 10.52427 | 9.49607 | 10.50393 | 36 |
25 | 9.47613·3 | 671 | 9.97961·8 | 65 | 10.02038 | 10.54387 | 9.49652 | 10.50348 | 35 |
26 | 9.47653·6 | 670 | 9.97957·9 | 67 | 10.02042 | 10.52346 | 9.49696 | 10.50304 | 34 |
27 | 9.47693·8 | 669 | 9.97953·9 | 67 | 10.02046 | 10.52306 | 9.49740 | 10.50260 | 33 |
28 | 9.47734·0 | 669 | 9.97949·9 | 67 | 10.02050 | 10.52266 | 9.49784 | 10.50216 | 32 |
29 | 9.47774·1 | 668 | 9.97945·9 | 65 | 10.02054 | 10.52226 | 9.49828 | 10.50172 | 31 |
30 | 9.47814·2 | 667 | 9.97942·9 | 67 | 10.02058 | 10.52186 | 9.49872 | 10.50128 | 30 |
31 | 9.47854·2 | 667 | 9.97938·0 | 67 | 10.02062 | 10.52146 | 9.49916 | 10.50084 | 29 |
32 | 9.47894·2 | 666 | 9.97934·0 | 67 | 10.02066 | 10.52106 | 9.49960 | 10.50040 | 28 |
33 | 9.47934·2 | 665 | 9.97930·0 | 67 | 10.02070 | 10.52066 | 9.50004 | 10.49996 | 27 |
34 | 9.47974·1 | 665 | 9.97926·0 | 67 | 10.02074 | 10.52026 | 9.50048 | 10.49952 | 26 |
35 | 9.48014·0 | 664 | 9.97922·0 | 67 | 10.02078 | 10.51986 | 9.50092 | 10.49908 | 25 |
36 | 9.48053·9 | 663 | 9.97918·0 | 67 | 10.02082 | 10.51946 | 9.50136 | 10.49864 | 24 |
37 | 9.48093·7 | 663 | 9.97914·0 | 67 | 10.02086 | 10.51906 | 9.50180 | 10.49820 | 23 |
38 | 9.48133·4 | 662 | 9.97910·0 | 68 | 10.02090 | 10.51867 | 9.50223 | 10.49777 | 22 |
39 | 9.48173·1 | 661 | 9.97905·9 | 67 | 10.02094 | 10.51827 | 9.50267 | 10.49733 | 21 |
40 | 9.48212·8 | 661 | 9.97901·9 | 67 | 10.02098 | 10.51787 | 9.50311 | 10.49689 | 20 |
41 | 9.48252·5 | 660 | 9.97897·9 | 67 | 10.02102 | 10.51748 | 9.50355 | 10.49645 | 19 |
42 | 9.48292·1 | 659 | 9.97893·9 | 68 | 10.02106 | 10.51708 | 9.50398 | 10.49602 | 18 |
43 | 9.48331·6 | 659 | 9.97889·8 | 67 | 10.02110 | 10.51668 | 9.50442 | 10.49558 | 17 |
44 | 9.48371·2 | 658 | 9.97885·8 | 68 | 10.02114 | 10.51629 | 9.50485 | 10.49515 | 16 |
45 | 9.48410·7 | 657 | 9.97881·7 | 67 | 10.02118 | 10.51589 | 9.50529 | 10.49471 | 15 |
46 | 9.48450·1 | 657 | 9.97877·7 | 67 | 10.02122 | 10.51550 | 9.50572 | 10.49428 | 14 |
47 | 9.48489·5 | 656 | 9.97873·7 | 68 | 10.02126 | 10.51510 | 9.50616 | 10.49384 | 13 |
48 | 9.48528·9 | 655 | 9.97869·6 | 68 | 10.02130 | 10.51471 | 9.50659 | 10.49341 | 12 |
49 | 9.48568·2 | 655 | 9.97865·5 | 67 | 10.02134 | 10.51432 | 9.50703 | 10.49297 | 11 |
50 | 9.48607·5 | 654 | 9.97861·5 | 68 | 10.02139 | 10.51393 | 9.50746 | 10.49254 | 10 |
51 | 9.48646·7 | 653 | 9.97857·4 | 68 | 10.02143 | 10.51353 | 9.50789 | 10.49211 | 9 |
52 | 9.48686·0 | 653 | 9.97853·3 | 67 | 10.02147 | 10.51314 | 9.50833 | 10.49167 | 8 |
53 | 9.48725·1 | 652 | 9.97849·3 | 68 | 10.02151 | 10.51275 | 9.50876 | 10.49124 | 7 |
54 | 9.48764·3 | 651 | 9.97845·2 | 68 | 10.02155 | 10.51236 | 9.50919 | 10.49081 | 6 |
55 | 9.48803·4 | 651 | 9.97841·1 | 68 | 10.02159 | 10.51197 | 9.50962 | 10.49038 | 5 |
56 | 9.48842·4 | 650 | 9.97837·0 | 68 | 10.02163 | 10.51158 | 9.51005 | 10.48995 | 4 |
57 | 9.48881·4 | 650 | 9.97832·9 | 68 | 10.02167 | 10.51119 | 9.51048 | 10.48952 | 3 |
58 | 9.48920·4 | 649 | 9.97828·8 | 68 | 10.02171 | 10.51080 | 9.51092 | 10.48908 | 2 |
59 | 9.48959·3 | 648 | 9.97824·7 | 68 | 10.02175 | 10.51041 | 9.51135 | 10.48865 | 1 |
60 | 9.48998·2 | 9.97820·6 | 10.02179 | 10.51002 | 9.51178 | 10.48822 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
72 Degrees. |
[page] 126
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
18 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.48998·2 | 648 | 9.97820·6 | 68 | 10.02179 | 10.51002 | 9.51178 | 10.48822 | 60 |
1 | 9.49037·1 | 648 | 9.97816·5 | 68 | 10.02183 | 10.50963 | 9.51221 | 10.48779 | 59 |
2 | 9.49075·9 | 647 | 9.97812·4 | 68 | 10.02188 | 10.50924 | 9.51264 | 10.48736 | 58 |
3 | 9.49114·7 | 646 | 9.97808·3 | 69 | 10.02192 | 10.50885 | 9.51306 | 10.48694 | 57 |
4 | 9.49153·5 | 646 | 9.97804·2 | 69 | 10.02196 | 10.50847 | 9.51349 | 10.48651 | 56 |
5 | 9.49192·2 | 645 | 9.97800·1 | 69 | 10.02200 | 10.50808 | 9.51392 | 10.48608 | 55 |
6 | 9.49230·8 | 644 | 9.97795·9 | 69 | 10.02204 | 10.50769 | 9.51435 | 10.48565 | 54 |
7 | 9.49269·5 | 644 | 9.97791·8 | 69 | 10.02208 | 10.50731 | 9.51478 | 10.48522 | 53 |
8 | 9.49308·1 | 643 | 9.97787·7 | 69 | 10.02212 | 10.50692 | 9.51520 | 10.48480 | 52 |
9 | 9.49346·6 | 642 | 9.97783·5 | 69 | 10.02216 | 10.50653 | 9.51563 | 10.48437 | 51 |
10 | 9.49385·1 | 642 | 9.97779·4 | 69 | 10.02221 | 10.50615 | 9.51606 | 10.48394 | 50 |
11 | 9.49423·6 | 641 | 9.97775·2 | 69 | 10.02225 | 10.50576 | 9.51648 | 10.48352 | 49 |
12 | 9.49462·1 | 641 | 9.97771·1 | 69 | 10.02229 | 10.50538 | 9.51691 | 10.48309 | 48 |
13 | 9.49500·5 | 640 | 9.97766·9 | 69 | 10.02233 | 10.50500 | 9.51734 | 10.48266 | 47 |
14 | 9.49538·8 | 639 | 9.97762·8 | 69 | 10.02237 | 10.50461 | 9.51776 | 10.48224 | 46 |
15 | 9.49577·2 | 639 | 9.97758·6 | 69 | 10.02241 | 10.50423 | 9.51819 | 10.48181 | 45 |
16 | 9.49615·4 | 638 | 9.97754·4 | 70 | 10.02246 | 10.50385 | 9.51861 | 10.48139 | 44 |
17 | 9.49653·7 | 637 | 9.97750·3 | 70 | 10.02250 | 10.50346 | 9.51903 | 10.48097 | 43 |
18 | 9.49691·9 | 637 | 9.97746·1 | 70 | 10.02254 | 10.50308 | 9.51946 | 10.48054 | 42 |
19 | 9.49730·1 | 636 | 9.97741·9 | 70 | 10.02258 | 10.50270 | 9.51988 | 10.48012 | 41 |
20 | 9.49768·2 | 636 | 9.97737·7 | 70 | 10.02262 | 10.50232 | 9.52031 | 10.47969 | 40 |
21 | 9.49806·4 | 635 | 9.97733·5 | 70 | 10.02266 | 10.50194 | 9.52073 | 10.47927 | 39 |
22 | 9.49844·4 | 634 | 9.97729·3 | 70 | 10.02271 | 10.50156 | 9.52115 | 10.47885 | 38 |
23 | 9.49882·5 | 634 | 9.97725·1 | 70 | 10.02275 | 10.50118 | 9.52157 | 10.47843 | 37 |
24 | 9.49920·4 | 633 | 9.97720·9 | 70 | 10.02279 | 10.50080 | 9.52200 | 10.47800 | 36 |
25 | 9.49958·4 | 632 | 9.97716·7 | 70 | 10.02283 | 10.50042 | 9.52242 | 10.47758 | 35 |
26 | 9.49996·3 | 632 | 9.97712·5 | 70 | 10.02287 | 10.50004 | 9.52284 | 10.47716 | 34 |
27 | 9.50034·2 | 631 | 9.97708·3 | 70 | 10.02292 | 10.49966 | 9.52326 | 10.47674 | 33 |
28 | 9.50072·1 | 631 | 9.97704·4 | 70 | 10.02296 | 10.49928 | 9.52368 | 10.47632 | 32 |
29 | 9.50109·9 | 630 | 9.97699·9 | 70 | 10.02300 | 10.49890 | 9.52410 | 10.47590 | 31 |
30 | 9.50147·6 | 629 | 9.97695·7 | 70 | 10.02304 | 10.49852 | 9.52452 | 10.47548 | 30 |
31 | 9.50185·4 | 629 | 9.97691·4 | 70 | 10.02309 | 10.49815 | 9.52494 | 10.47506 | 29 |
32 | 9.50223·1 | 628 | 9.97687·2 | 70 | 10.02313 | 10.49777 | 9.52536 | 10.47464 | 28 |
33 | 9.50260·7 | 628 | 9.97683·0 | 71 | 10.02317 | 10.49739 | 9.52578 | 10.47422 | 27 |
34 | 9.50298·4 | 627 | 9.97678·7 | 71 | 10.02321 | 10.49702 | 9.52620 | 10.47380 | 26 |
35 | 9.50336·0 | 626 | 9.97674·5 | 71 | 10.02326 | 10.49664 | 9.52661 | 10.47339 | 25 |
36 | 9.50373·5 | 626 | 9.97670·2 | 71 | 10.02330 | 10.49626 | 9.52703 | 10.47297 | 24 |
37 | 9.50411·0 | 625 | 9.97666·0 | 71 | 10.02334 | 10.49589 | 9.52745 | 10.47255 | 23 |
38 | 9.50448·5 | 625 | 9.97661·7 | 71 | 10.02338 | 10.49551 | 9.52787 | 10.47213 | 22 |
39 | 9.50486·0 | 624 | 9.97657·4 | 71 | 10.02343 | 10.49514 | 9.52829 | 10.47171 | 21 |
40 | 9.50523·4 | 623 | 9.97653·2 | 71 | 10.02347 | 10.49477 | 9.52870 | 10.47130 | 20 |
41 | 9.50560·8 | 623 | 9.97648·9 | 71 | 10.02351 | 10.49439 | 9.52912 | 10.47088 | 19 |
42 | 9.50598·1 | 622 | 9.97644·6 | 71 | 10.02355 | 10.49402 | 9.52953 | 10.47047 | 18 |
43 | 9.50635·4 | 622 | 9.97640·4 | 71 | 10.02360 | 10.49365 | 9.52995 | 10.47005 | 17 |
44 | 9.50672·7 | 621 | 9.97636·1 | 71 | 10.02364 | 10.49327 | 9.53037 | 10.46963 | 16 |
45 | 9.50709·9 | 620 | 9.97631·8 | 71 | 10.02368 | 10.49290 | 9.53078 | 10.46922 | 15 |
46 | 9.50747·1 | 620 | 9.97627·5 | 71 | 10.02372 | 10.49253 | 9.53120 | 10.46880 | 14 |
47 | 9.50784·3 | 619 | 9.97623·2 | 72 | 10.02377 | 10.49216 | 9.53161 | 10.46839 | 13 |
48 | 9.50821·4 | 619 | 9.97618·9 | 72 | 10.02381 | 10.49179 | 9.53202 | 10.46798 | 12 |
49 | 9.50858·5 | 618 | 9.97614·6 | 72 | 10.02385 | 10.49142 | 9.53244 | 10.46756 | 11 |
50 | 9.50895·4 | 618 | 9.97610·3 | 72 | 10.02390 | 10.49104 | 9.53285 | 10.46715 | 10 |
51 | 9.50932·6 | 617 | 9.97606·0 | 72 | 10.02394 | 10.49067 | 9.53327 | 10.46673 | 9 |
52 | 9.50969·6 | 616 | 9.97601·7 | 72 | 10.02398 | 10.49030 | 9.53368 | 10.46632 | 8 |
53 | 9.51006·5 | 616 | 9.97597·4 | 72 | 10.02403 | 10.48993 | 9.53409 | 19.46591 | 7 |
54 | 9.51043·4 | 615 | 9.97593·0 | 72 | 10.02407 | 10.48957 | 9.53450 | 10.46550 | 6 |
55 | 9.51080·3 | 615 | 9.97588·7 | 72 | 10.02411 | 10.48920 | 9.53492 | 10.46508 | 5 |
56 | 9.51117·2 | 614 | 9.97584·4 | 72 | 10.02416 | 10.48883 | 9.53533 | 10.46467 | 4 |
57 | 9.51154·0 | 613 | 9.97580·0 | 72 | 10.02420 | 10.48846 | 9.53574 | 10.46426 | 3 |
58 | 9.51190·7 | 613 | 9.97575·7 | 72 | 10.02424 | 10.48809 | 9.53615 | 10.46385 | 2 |
59 | 9.51227·5 | 612 | 9.97571·4 | 72 | 10.02429 | 10.48773 | 9.53656 | 10.46344 | 1 |
60 | 9.51264·2 | 9.97567·0 | 10.02433 | 10.48736 | 9.53697 | 10.46303 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
71 Degrees. |
[page] 127
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
19 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.51264·2 | 612 | 9.97567·0 | 72 | 10.02433 | 10.48736 | 9.53697 | 10.46303 | 60 |
1 | 9.51300·9 | 611 | 9.97562·7 | 73 | 10.02437 | 10.48699 | 9.53738 | 10.46262 | 59 |
2 | 9.51337·5 | 611 | 9.97558·3 | 73 | 10.02442 | 10.48662 | 9.53779 | 10.46221 | 58 |
3 | 9.51374·1 | 610 | 9.97553·9 | 73 | 10.02446 | 10.48626 | 9.53820 | 10.46180 | 57 |
4 | 9.51410·7 | 609 | 9.97549·6 | 73 | 10.02450 | 10.48589 | 9.53861 | 10.46139 | 56 |
5 | 9.51447·2 | 609 | 9.97545·2 | 73 | 10.02455 | 10.48553 | 9.53902 | 10.46098 | 55 |
6 | 9.51483·7 | 608 | 9.97540·8 | 73 | 10.02459 | 10.48546 | 9.53943 | 10.46057 | 54 |
7 | 9.51520·2 | 608 | 9.97536·5 | 73 | 10.02464 | 10.48480 | 9.53984 | 10.46016 | 53 |
8 | 9.51556·6 | 607 | 9.97532·1 | 73 | 10.02468 | 10.48443 | 9.54025 | 10.45975 | 52 |
9 | 9.51593·0 | 607 | 9.97527·7 | 73 | 10.02472 | 10.48407 | 9.54065 | 10.45935 | 51 |
10 | 9.51629·4 | 606 | 9.97523·3 | 73 | 10.02477 | 10.48371 | 9.54106 | 10.45894 | 50 |
11 | 9.51665·7 | 605 | 9.97518·9 | 73 | 10.02481 | 10.48334 | 9.54147 | 10.45853 | 49 |
12 | 9.51702·0 | 605 | 9.97514·5 | 73 | 10.02485 | 10.48298 | 9.54187 | 10.45813 | 48 |
13 | 9.51738·2 | 604 | 9.97510·1 | 73 | 10.02490 | 10.48262 | 9.54228 | 10.45772 | 47 |
14 | 9.51774·5 | 604 | 9.97505·7 | 73 | 10.02494 | 10.48226 | 9.54269 | 10.45731 | 46 |
15 | 9.51810·7 | 603 | 9.97501·3 | 73 | 10.02499 | 10.48189 | 9.54309 | 10.45691 | 45 |
16 | 9.51846·8 | 603 | 9.97496·9 | 74 | 10.02503 | 10.48153 | 9.54350 | 10.45650 | 44 |
17 | 9.51882·9 | 602 | 9.97492·5 | 74 | 10.02508 | 10.48117 | 9.54390 | 10.45610 | 43 |
18 | 9.51919·0 | 601 | 9.97488·0 | 74 | 10.02512 | 10.48081 | 9.54431 | 10.45569 | 42 |
19 | 9.51955·1 | 601 | 9.97485·6 | 74 | 10.02516 | 10.48045 | 9.54471 | 10.45529 | 41 |
20 | 9.51991·1 | 600 | 9.97479·2 | 74 | 10.02521 | 10.48009 | 9.54512 | 10.45488 | 40 |
21 | 9.52027·1 | 600 | 9.97474·8 | 74 | 10.02525 | 10.47973 | 9.54552 | 10.45448 | 39 |
22 | 9.52063·1 | 599 | 9.97470·3 | 74 | 10.02530 | 10.47937 | 9.54593 | 10.45407 | 38 |
23 | 9.52099·0 | 599 | 9.97465·9 | 74 | 10.02534 | 10.47901 | 9.54633 | 10.45367 | 37 |
24 | 9.52134·9 | 598 | 9.97461·4 | 74 | 10.02539 | 10.47865 | 9.54673 | 10.45327 | 36 |
25 | 9.52170·7 | 598 | 9.97457·0 | 74 | 10.02543 | 10.47829 | 9.54714 | 10.45286 | 35 |
26 | 9.52206·6 | 597 | 9.97452·5 | 74 | 10.02547 | 10.47793 | 9.54754 | 10.45246 | 34 |
27 | 9.52242·4 | 596 | 9.97448·1 | 74 | 10.02552 | 10.47758 | 9.54794 | 10.45206 | 33 |
28 | 9.52278·1 | 596 | 9.97443·6 | 74 | 10.02556 | 10.47722 | 9.54835 | 10.45165 | 32 |
29 | 9.52313·8 | 595 | 9.97439·1 | 74 | 10.02561 | 10.47686 | 9.54875 | 10.45125 | 31 |
30 | 9.52349·5 | 595 | 9.97434·7 | 75 | 10.02565 | 10.47650 | 9.54915 | 10.45085 | 30 |
31 | 9.52385·2 | 594 | 9.97430·2 | 75 | 10.02570 | 10.47615 | 9.54955 | 10.45045 | 29 |
32 | 9.52420·8 | 594 | 9.97425·7 | 75 | 10.02574 | 10.47579 | 9.54995 | 10.45005 | 28 |
33 | 9.52456·4 | 593 | 9.97421·2 | 75 | 10.02579 | 10.47544 | 9.55035 | 10.44965 | 27 |
34 | 9.52492·0 | 593 | 9.97416·7 | 75 | 10.02583 | 10.47508 | 9.55075 | 10.44925 | 26 |
35 | 9.52527·5 | 592 | 9.97412·2 | 75 | 10.02588 | 10.47473 | 9.55115 | 10.44885 | 25 |
36 | 9.52563·0 | 591 | 9.97407·7 | 75 | 10.02592 | 10.47437 | 9.55155 | 10.44845 | 24 |
37 | 9.52598·4 | 591 | 9.97403·2 | 75 | 10.02597 | 10.47402 | 9.55195 | 10.44805 | 23 |
38 | 9.52633·9 | 590 | 9.97398·7 | 75 | 10.02601 | 10.47366 | 9.55235 | 10.44765 | 22 |
39 | 9.52669·3 | 590 | 9.97394·2 | 75 | 10.02606 | 10.47331 | 9.55375 | 10.44725 | 21 |
40 | 9.52704·6 | 589 | 9.97389·7 | 75 | 10.02610 | 10.47295 | 9.55315 | 10.44685 | 20 |
41 | 9.52740·0 | 589 | 9.97385·2 | 75 | 10.02615 | 10.47260 | 9.55355 | 10.44645 | 19 |
42 | 9.52775·3 | 588 | 9.97380·7 | 75 | 10.02619 | 10.47225 | 9.55395 | 10.44605 | 18 |
43 | 9.52810·5 | 588 | 9.97376·1 | 75 | 10.02624 | 10.47189 | 9.55434 | 10.44566 | 17 |
44 | 9.52845·8 | 587 | 9.97371·6 | 76 | 10.02628 | 10.47154 | 9.55474 | 10.44526 | 16 |
45 | 9.52881·0 | 587 | 9.97367·1 | 76 | 10.02633 | 10.47119 | 9.55514 | 10.44486 | 15 |
46 | 9.52916·1 | 586 | 9.97363·5 | 76 | 10.02637 | 10.47084 | 9.55554 | 10.44446 | 14 |
47 | 9.52951·3 | 586 | 9.97358·0 | 76 | 10.02642 | 10.47049 | 9.55593 | 10.44407 | 13 |
48 | 9.52986·4 | 585 | 9.97353·5 | 76 | 10.02647 | 10.47014 | 9.55633 | 10.44367 | 12 |
49 | 9.53021·5 | 585 | 9.97348·9 | 76 | 10.02651 | 10.46979 | 9.55673 | 10.44327 | 11 |
50 | 9.53056·5 | 584 | 9.97344·4 | 76 | 10.02656 | 10.46944 | 9.55712 | 10.44288 | 10 |
52 | 9.53091·5 | 584 | 9.97339·8 | 76 | 10.02660 | 10.46908 | 9.55753 | 10.44248 | 9 |
52 | 9.53126·5 | 583 | 9.97335·2 | 76 | 10.02665 | 10.46874 | 9.55791 | 10.44209 | 8 |
53 | 9.53161·4 | 582 | 9.97330·7 | 76 | 10.02669 | 10.46839 | 9.55831 | 10.44169 | 7 |
54 | 9.53196·3 | 582 | 9.97326·1 | 76 | 10.02674 | 10.46804 | 9.55870 | 10.44130 | 6 |
55 | 9.53231·1 | 581 | 9.97321·5 | 76 | 10.02678 | 10.46769 | 9.55910 | 10.44090 | 5 |
56 | 9.53266·1 | 581 | 9.97316·9 | 76 | 10.02683 | 10.46734 | 9.55949 | 10.44051 | 4 |
57 | 9.53300·9 | 580 | 9.97312·4 | 76 | 10.02688 | 10.46699 | 9.55989 | 10.44011 | 3 |
58 | 9.53335·7 | 580 | 9.97307·8 | 76 | 10.02692 | 10.46664 | 9.56028 | 10.43972 | 2 |
59 | 9.53370·4 | 579 | 9.97303·5 | 76 | 10.02697 | 10.46630 | 9.56067 | 10.43933 | 1 |
60 | 9.53405·2 | 9.97298·6 | 10.02701 | 10.46595 | 9.56107 | 10.43893 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
70 Degrees. |
[page] 128
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
20 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.53405·2 | 578 | 9.97298·6 | 77 | 10.02701 | 10.46595 | 9.56107 | 10.43893 | 60 |
1 | 9.53439·9 | 577 | 9.97294·0 | 77 | 10.0·270 | 10.46560 | 9.56146 | 10.43854 | 59 |
2 | 9.53474·5 | 577 | 9.97289·4 | 77 | 10.02711 | 10.46525 | 9.56185 | 10.43815 | 58 |
3 | 9.53509·2 | 577 | 9.97284·8 | 77 | 10.02715 | 10.46491 | 9.56224 | 10.43776 | 57 |
4 | 9.53543·8 | 576 | 9.97280·2 | 78 | 10.02720 | 10.46456 | 9.56264 | 10.43736 | 56 |
5 | 9.53578·3 | 576 | 9.97275·5 | 77 | 10.02724 | 10.46422 | 9.56303 | 10.43697 | 55 |
6 | 9.53612·9 | 575 | 9.97270·9 | 77 | 10.02729 | 10.46387 | 9.56342 | 10.43658 | 54 |
7 | 9.53647·4 | 574 | 9.97266·3 | 77 | 10.02734 | 10.46353 | 9.56381 | 10.43619 | 53 |
8 | 9.53681·8 | 574 | 9.97261·7 | 78 | 10.02738 | 10.46318 | 9.56420 | 10.43580 | 52 |
9 | 9.53716·3 | 573 | 9.97257·0 | 77 | 10.02743 | 10.46284 | 9.56459 | 10.43541 | 51 |
10 | 9.53750·7 | 573 | 9.97252·4 | 77 | 10.02748 | 10.46249 | 9.56498 | 10.43502 | 50 |
11 | 9.53785·1 | 572 | 9.97247·8 | 78 | 10.02752 | 10.46215 | 9.56537 | 10.43463 | 49 |
12 | 9.53819·4 | 572 | 9.97243·1 | 77 | 10.02757 | 10.46181 | 9.56576 | 10.43424 | 48 |
13 | 9.53853·8 | 571 | 9.97238·5 | 78 | 10.02762 | 10.46146 | 9.56615 | 10.43385 | 47 |
14 | 9.53888·0 | 571 | 9.97333·8 | 78 | 10.02766 | 10.46112 | 9.56654 | 10.43346 | 46 |
15 | 9.53922·3 | 570 | 9.97229·1 | 77 | 10.02771 | 10.46078 | 9.56693 | 10.43307 | 45 |
16 | 9.53956·5 | 570 | 9.97224·5 | 78 | 10.02776 | 10.46043 | 9.56732 | 10.43268 | 44 |
17 | 9.53990·7 | 569 | 9.97219·8 | 78 | 10.02780 | 10.46009 | 9.56771 | 10.43229 | 43 |
18 | 9.54024·9 | 569 | 9.97215·1 | 77 | 10.02785 | 10.45975 | 9.56810 | 10.43190 | 42 |
19 | 9.54059·0 | 568 | 9.97210·5 | 78 | 10.02790 | 10.45941 | 9.56849 | 10.43151 | 41 |
20 | 9.54093·1 | 568 | 9.97205·8 | 78 | 10.02794 | 10.45907 | 9.56887 | 10.43113 | 40 |
21 | 9.54127·2 | 567 | 9.97301·1 | 78 | 10.02799 | 10.45873 | 9.56926 | 10.43074 | 39 |
22 | 9.54161·3 | 567 | 9.97196·4 | 78 | 10.02804 | 10.45839 | 9.56965 | 10.43035 | 38 |
23 | 9.54195·3 | 566 | 9.97191·7 | 78 | 10.02808 | 10.45805 | 9.57004 | 10.42996 | 37 |
24 | 9.54229·3 | 566 | 9.97187·0 | 78 | 10.02813 | 10.45771 | 9.57042 | 10.42958 | 36 |
25 | 9.54263·2 | 565 | 9.97182·3 | 78 | 10.02818 | 10.45737 | 9.57081 | 10.42919 | 35 |
26 | 9.54297·1 | 565 | 9.97177·6 | 78 | 10.02822 | 10.45703 | 9.57120 | 10.42880 | 34 |
27 | 9.54331·0 | 564 | 9.97172·9 | 78 | 10.02827 | 10.45669 | 9.57158 | 10.42842 | 33 |
28 | 9.54364·9 | 564 | 9.97168·2 | 78 | 10.02832 | 10.45635 | 9.57197 | 10.42803 | 32 |
29 | 9.54398·7 | 563 | 9.97163·5 | 78 | 10.02837 | 10.45601 | 9.57235 | 10.42765 | 31 |
30 | 9.54432·5 | 563 | 9.97158·8 | 80 | 10.02841 | 10.45567 | 9.57274 | 10.42726 | 30 |
31 | 9.54466·3 | 562 | 9.97154·0 | 78 | 10.02846 | 10.45534 | 9.57312 | 10.42688 | 29 |
32 | 9.54500·0 | 562 | 9.97149·3 | 78 | 10.02851 | 10.45500 | 9.57351 | 10.42649 | 28 |
33 | 9.54533·8 | 561 | 9.97144·6 | 80 | 10.02855 | 10.45466 | 9.57389 | 10.42611 | 27 |
34 | 9.54567·4 | 561 | 9.97139·8 | 78 | 10.02860 | 10.45433 | 9.57428 | 10.42571 | 26 |
35 | 9.54601·1 | 560 | 9.97135·1 | 80 | 10.02865 | 10.45399 | 9.57466 | 10.43534 | 25 |
36 | 9.54634·7 | 560 | 9.97130·3 | 78 | 10.02870 | 10.45365 | 9.57504 | 10.42496 | 24 |
37 | 9.54668·3 | 559 | 9.97125·6 | 80 | 10.02874 | 10.45332 | 9.57543 | 10.42457 | 23 |
38 | 9.54701·9 | 559 | 9.97120·8 | 78 | 10.02879 | 10.45298 | 9.57581 | 10.42419 | 22 |
39 | 9.54735·4 | 558 | 9.97116·1 | 80 | 10.02884 | 10.45265 | 9.57619 | 10.42381 | 21 |
40 | 9.54768·9 | 558 | 9.97111·3 | 78 | 10.02889 | 10.45331 | 9.57658 | 10.42342 | 20 |
41 | 9.54802·4 | 557 | 9.97106·6 | 80 | 10.02893 | 10.45198 | 9.57696 | 10.42304 | 19 |
42 | 9.54835·9 | 557 | 9.97101·8 | 80 | 10.02898 | 10.45164 | 9.57734 | 10.42266 | 18 |
43 | 9.54869·3 | 556 | 9.97097·0 | 80 | 10.02903 | 10.45131 | 9.57772 | 10.42228 | 17 |
44 | 9.54902·7 | 556 | 9.97092·2 | 80 | 10.02908 | 10.45097 | 9.57810 | 10.42190 | 16 |
45 | 9.54936·0 | 555 | 9.97087·4 | 78 | 10.02913 | 10.45064 | 9.57849 | 10.42151 | 15 |
46 | 9.54969·3 | 555 | 9.97082·7 | 80 | 10.02917 | 10.45031 | 9.57887 | 10.42113 | 14 |
47 | 9.55002·6 | 554 | 9.97077·9 | 80 | 10.02922 | 10.44997 | 9.57925 | 10.42075 | 13 |
48 | 9.55035·9 | 554 | 9.97073·1 | 80 | 10.02927 | 10.44964 | 9.57963 | 10.42037 | 12 |
49 | 9.55069·2 | 553 | 9.97068·3 | 80 | 10.02932 | 10.44931 | 9.58001 | 10.41999 | 11 |
50 | 9.55102·4 | 553 | 9.97063·5 | 82 | 10.02937 | 10.44898 | 9.58039 | 10.41961 | 10 |
51 | 9.55135·6 | 552 | 9.97058·6 | 80 | 10.02941 | 10.44864 | 9.58077 | 10.41923 | 9 |
52 | 9.55168·7 | 552 | 9.97053·8 | 80 | 10.02946 | 10.44831 | 9.58115 | 10.41885 | 8 |
53 | 9.55201·8 | 552 | 9.97049·0 | 80 | 10.02951 | 10.44798 | 9.58153 | 10.41847 | 7 |
54 | 9.55234·9 | 551 | 9.97044·2 | 80 | 10.02956 | 10.44765 | 9.58191 | 10.41809 | 6 |
55 | 9.55268·0 | 551 | 9.97039·4 | 82 | 10.02961 | 10.44732 | 9.58229 | 10.41771 | 5 |
56 | 9.55301·0 | 550 | 9.97034·5 | 80 | 10.02965 | 10.44699 | 9.58267 | 10.41753 | 4 |
57 | 9.55334·1 | 550 | 9.97029·7 | 80 | 10.02970 | 10.44666 | 9.58304 | 10.41696 | 3 |
58 | 9.55367·0 | 549 | 9.97024·9 | 82 | 10.02975 | 10.44633 | 9.58342 | 10.41658 | 2 |
59 | 9.55400·0 | 549 | 9.97020·0 | 80 | 10.02980 | 10.44600 | 9.58380 | 10.41620 | 1 |
60 | 9.55432·9 | 9.97015·2 | 10.02985 | 10.44567 | 9.58418 | 10.41581 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
69 Degrees. |
[page] 129
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
21 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.55432·9 | 548 | 9.97015·2 | 81 | 10.02985 | 10.44567 | 9.58418 | 10.41582 | 60 |
1 | 9.55465·8 | 548 | 9.97010·3 | 81 | 10.02990 | 10.44534 | 9.58455 | 10.41545 | 59 |
2 | 9.55498·7 | 547 | 9.97005·5 | 81 | 10.02995 | 10.44501 | 9.58493 | 10.41507 | 58 |
3 | 9.55531·5 | 547 | 9.97000·6 | 81 | 10.02999 | 19.44468 | 9.58531 | 10.41469 | 57 |
4 | 9.55564·3 | 546 | 9.96995·7 | 81 | 10.03004 | 10.44436 | 9.58569 | 10.41431 | 56 |
5 | 9.55597·1 | 546 | 9.96990·9 | 81 | 10.03009 | 10.44403 | 9.58606 | 10.41394 | 55 |
6 | 9.55292·9 | 545 | 9.96986·0 | 81 | 10.03014 | 10.44370 | 9.58644 | 10.41356 | 54 |
7 | 9.55662·6 | 545 | 9.96981·1 | 81 | 10.03019 | 10.44337 | 9.58681 | 10.41319 | 53 |
8 | 9.55695·3 | 544 | 9.96976·2 | 81 | 10.03024 | 10.44305 | 9.58713 | 10.41281 | 52 |
9 | 9.55728·0 | 544 | 9.96971·4 | 81 | 10.03029 | 10.44272 | 9.58757 | 10.41243 | 51 |
10 | 9.55760·6 | 543 | 9.96966·5 | 81 | 10.03034 | 10.44239 | 9.58794 | 10.41206 | 50 |
11 | 9.55793·2 | 543 | 9.96961·6 | 82 | 10.03038 | 10.44207 | 9.58832 | 10.41168 | 49 |
12 | 9.55841·8 | 543 | 9.96956·7 | 82 | 10.03043 | 10.44174 | 9.58869 | 10.41131 | 48 |
13 | 9.55858·3 | 542 | 9.96951·8 | 82 | 10.03048 | 10.44142 | 9.58907 | 10.41093 | 47 |
14 | 9.55890·9 | 542 | 9.96946·9 | 82 | 10.03053 | 10.44109 | 9.58944 | 10.41056 | 46 |
15 | 9.55923·4 | 541 | 9.96942·0 | 82 | 10.03058 | 10.44077 | 9.58981 | 10.41009 | 45 |
16 | 9.55955·8 | 541 | 9.96937·0 | 82 | 10.03063 | 10.44044 | 9.59019 | 10.40981 | 44 |
17 | 9.55988·3 | 540 | 9.96932·1 | 82 | 10.03068 | 10.44012 | 9.59056 | 10.40944 | 43 |
18 | 9.56020·7 | 540 | 9.96927·2 | 82 | 10.03073 | 10.43979 | 9.59094 | 10.40906 | 42 |
19 | 9.56053·1 | 539 | 9.96922·3 | 82 | 10.03078 | 10.43947 | 9.59131 | 10.40869 | 41 |
20 | 9.56085·5 | 539 | 9.96917·3 | 82 | 10.03083 | 10.43915 | 9.59168 | 10.40832 | 40 |
21 | 9.56117·8 | 538 | 9.96912·4 | 82 | 10.03088 | 10.43882 | 9.59205 | 10.40795 | 39 |
22 | 9.56150·1 | 538 | 9.96907·5 | 82 | 10.03093 | 10.43850 | 9.59243 | 10.40757 | 38 |
23 | 9.56182·4 | 537 | 9.96902·5 | 82 | 10.03097 | 10.43818 | 9.59280 | 10.40720 | 37 |
24 | 9.56214·6 | 537 | 9.96897·6 | 82 | 10.03102 | 10.43785 | 9.59317 | 10.40683 | 36 |
25 | 9.56246·8 | 536 | 9.96892·6 | 83 | 10.03107 | 10.43753 | 9.59354 | 10.40646 | 35 |
26 | 9.56279·0 | 536 | 9.96887·7 | 83 | 10.03112 | 10.43721 | 9.59391 | 10.40609 | 34 |
27 | 9.56311·2 | 536 | 9.96882·7 | 83 | 10.03117 | 10.43689 | 9.59429 | 10.40571 | 33 |
28 | 9.56343·3 | 535 | 9.96877·7 | 83 | 10.03122 | 10.43657 | 9.59466 | 10.40534 | 32 |
29 | 9.56375·5 | 535 | 9.96872·8 | 83 | 10.03127 | 10.43625 | 9.59503 | 10.40497 | 31 |
30 | 9.56407·5 | 534 | 9.96867·8 | 83 | 10.03132 | 10.43592 | 9.59540 | 10.40460 | 30 |
31 | 9.56439·6 | 534 | 9.96862·8 | 83 | 10.03137 | 10.43560 | 9.59577 | 10.40423 | 29 |
32 | 9.56471·6 | 533 | 9.96857·8 | 83 | 10.03142 | 10.43528 | 9.59614 | 10.40386 | 28 |
33 | 9.56503·6 | 533 | 9.96852·8 | 83 | 10.03147 | 10.43496 | 9.59651 | 10.40349 | 27 |
34 | 9.56535·6 | 532 | 9.96847·9 | 83 | 10.03152 | 10.43464 | 9.59688 | 10.40312 | 26 |
35 | 9.56567·6 | 532 | 9.96842·9 | 83 | 10.03157 | 10.43432 | 9.59725 | 10.40275 | 25 |
36 | 9.56599·5 | 531 | 9.96837·9 | 83 | 10.03162 | 10.43401 | 9.59762 | 10.40238 | 24 |
37 | 9.56631·4 | 531 | 9.96832·9 | 83 | 10.03167 | 10.43369 | 9.59799 | 10.40201 | 23 |
38 | 9.56663·2 | 531 | 9.96827·8 | 83 | 10.03172 | 10.43337 | 9.59835 | 10.40165 | 22 |
39 | 9.56695·1 | 530 | 9.96822·8 | 84 | 10.03177 | 10.43305 | 9.59872 | 10.40128 | 21 |
40 | 9.56726·9 | 530 | 9.96817·8 | 84 | 10.03182 | 10.43273 | 9.59909 | 10.40091 | 20 |
41 | 9.56758·7 | 529 | 9.96812·8 | 84 | 10.03187 | 10.43241 | 9.59946 | 10.40054 | 19 |
42 | 9.56790·4 | 529 | 9.96807·8 | 84 | 10.03192 | 10.43210 | 9.59983 | 10.40017 | 18 |
43 | 9.56822·2 | 528 | 9.96802·7 | 84 | 10.03197 | 10.43178 | 9.60019 | 10.39981 | 17 |
44 | 9.56853·9 | 528 | 9.96797·7 | 84 | 10.03202 | 10.43146 | 9.60056 | 10.39944 | 16 |
45 | 9.56885·6 | 528 | 9.96792·7 | 84 | 10.03207 | 10.43114 | 9.60093 | 10.39907 | 15 |
46 | 9.56917·2 | 527 | 9.96787·6 | 84 | 10.03212 | 10.43083 | 9.60130 | 10.39870 | 14 |
47 | 9.56948·8 | 527 | 9.96782·6 | 84 | 10.03217 | 10.43051 | 9.60166 | 10.39834 | 13 |
48 | 9.56980·4 | 526 | 9.96777·5 | 84 | 10.03222 | 10.43020 | 9.60203 | 10.39797 | 12 |
49 | 9.57012·0 | 526 | 9.96772·5 | 84 | 10.03228 | 10.42988 | 9.60240 | 10.39760 | 11 |
50 | 9.57043·5 | 525 | 9.96767·4 | 84 | 10.03233 | 10.42956 | 9.60276 | 10.39724 | 10 |
51 | 9.57075·1 | 525 | 9.96762·4 | 84 | 10.03238 | 10.42925 | 9.60313 | 10.39687 | 9 |
52 | 9.57106·6 | 524 | 9.96757·3 | 84 | 10.03243 | 10.42893 | 9.60349 | 10.39651 | 8 |
53 | 9.57138·0 | 524 | 9.96752·2 | 85 | 10.03248 | 10.42862 | 9.60386 | 10.39614 | 7 |
54 | 9.57169·5 | 523 | 9.96747·1 | 85 | 10.03253 | 10.42831 | 9.60422 | 10.39578 | 6 |
55 | 9.57200·9 | 523 | 9.96742·1 | 85 | 10.03258 | 10.42799 | 9.60459 | 10.39541 | 5 |
56 | 9.57232·3 | 523 | 9.96737·0 | 85 | 10.03263 | 10.42768 | 9.60495 | 10.39505 | 4 |
57 | 9.57263·6 | 522 | 9.96731·9 | 85 | 10.03268 | 10.42736 | 9.60532 | 10.39468 | 3 |
58 | 9.57295·0 | 522 | 9.96726·8 | 85 | 10.03273 | 10.42705 | 9.60568 | 10.39432 | 2 |
59 | 9.57326·3 | 521 | 9.96721·7 | 85 | 10.03278 | 10.42674 | 9.60605 | 10.39395 | 1 |
60 | 9.57357·5 | 9.96716·6 | 10.03283 | 10.42642 | 9.60641 | 10.39359 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
68 Degrees. |
R
[page] 130
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
22 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.57357·5 | 521 | 9.96716·6 | 85 | 10.03283 | 10.42642 | 9.60641 | 10.39359 | 60 |
1 | 9.57388·8 | 520 | 9.96711·5 | 85 | 10.03289 | 10.42611 | 9.60677 | 10.39313 | 59 |
2 | 9.57420·0 | 520 | 9.96706·4 | 85 | 10.03294 | 10.42580 | 9.60714 | 10.39286 | 58 |
3 | 9.57451·2 | 519 | 9.96701·3 | 85 | 10.03299 | 10.42549 | 9.60750 | 10.39250 | 57 |
4 | 9.57482·4 | 519 | 9.96696·1 | 85 | 10.03304 | 10.42518 | 9.60786 | 10.39214 | 56 |
5 | 9.57513·6 | 519 | 9.96691·0 | 85 | 10.03309 | 10.42486 | 9.60823 | 10.39177 | 55 |
6 | 9.57544·7 | 518 | 9.96685·9 | 85 | 10.03314 | 10.42455 | 9.60859 | 10.39141 | 54 |
7 | 9.57575·8 | 518 | 9.96680·8 | 85 | 10.03319 | 10.42424 | 9.60895 | 10.39105 | 53 |
8 | 9.57606·9 | 517 | 9.96675·6 | 86 | 10.03324 | 10.42393 | 9.60931 | 10.39069 | 52 |
9 | 9.57637·9 | 517 | 9.96670·5 | 86 | 10.03330 | 10.42362 | 9.60967 | 10.39033 | 51 |
10 | 9.57668·9 | 516 | 9.96665·3 | 86 | 10.03335 | 10.42331 | 9.61004 | 10.38996 | 50 |
11 | 9.57699·9 | 516 | 9.96660·2 | 86 | 10.03340 | 10.42300 | 9.61040 | 10.38960 | 49 |
12 | 9.57730·9 | 516 | 9.96655·0 | 86 | 10.03345 | 10.42269 | 9.61076 | 10.38924 | 48 |
13 | 9.57761·8 | 515 | 9.96649·9 | 86 | 10.03350 | 10.42238 | 9.61112 | 10.38888 | 47 |
14 | 9.57792·7 | 515 | 9.96644·7 | 86 | 10.03355 | 10.42207 | 9.61148 | 10.38852 | 46 |
15 | 9.57823·6 | 514 | 9.96639·5 | 86 | 10.03360 | 10.42176 | 9.61184 | 10.38816 | 45 |
16 | 9.57854·5 | 514 | 9.96634·4 | 86 | 10.03366 | 10.42145 | 9.61220 | 10.38780 | 44 |
17 | 9.57885·3 | 513 | 9.96629·2 | 86 | 10.03371 | 10.42115 | 9.61256 | 10.38744 | 43 |
18 | 9.57916·2 | 513 | 9.96624·0 | 86 | 10.03376 | 10.42084 | 9.61292 | 10.38708 | 42 |
19 | 9.57947·0 | 513 | 9.96618·8 | 86 | 10.03381 | 10.42053 | 9.61328 | 10.38672 | 41 |
20 | 9.57977·7 | 512 | 9.96613·6 | 86 | 10.03386 | 10.42022 | 9.61364 | 10.38636 | 40 |
21 | 9.58008·5 | 512 | 9.96608·5 | 87 | 10.03392 | 10.41992 | 9.61400 | 10.38600 | 39 |
22 | 9.58039·2 | 511 | 9.96603·3 | 87 | 10.03397 | 10.41961 | 9.61436 | 10.38564 | 38 |
23 | 9.58069·9 | 511 | 9.96598·1 | 87 | 10.03402 | 10.41930 | 9.61472 | 10.38528 | 37 |
24 | 9.58100·5 | 511 | 9.96592·9 | 87 | 10.03407 | 10.41899 | 9.61508 | 10.38492 | 36 |
25 | 9.58131·2 | 510 | 9.96587·6 | 87 | 10.03412 | 10.41869 | 9.61544 | 10.38456 | 35 |
26 | 9.58161·8 | 510 | 9.96582·4 | 87 | 10.03418 | 10.41838 | 9.61579 | 10.38421 | 34 |
27 | 9.58192·4 | 509 | 9.96577·2 | 87 | 10.03423 | 10.41808 | 9.61615 | 10.38385 | 33 |
28 | 9.58222·9 | 509 | 9.96572·0 | 87 | 10.03428 | 10.41777 | 9.61651 | 10.38349 | 32 |
29 | 9.58253·5 | 509 | 9.96566·8 | 87 | 10.03433 | 10.41747 | 9.61687 | 10.38313 | 31 |
30 | 9.58284·0 | 508 | 9.96561·5 | 87 | 10.03438 | 10.41716 | 9.61722 | 10.38278 | 30 |
31 | 9.58314·5 | 508 | 9.96556·3 | 87 | 10.03444 | 10.41686 | 9.61758 | 10.38241 | 29 |
32 | 9.58344·9 | 507 | 9.96551·1 | 87 | 10.03449 | 10.41655 | 9.61794 | 10.38206 | 28 |
33 | 9.58375·4 | 507 | 9.96545·8 | 87 | 10.03454 | 10.41625 | 9.61830 | 10.38170 | 27 |
34 | 9.58405·8 | 506 | 9.96540·6 | 87 | 10.03459 | 10.41594 | 9.61865 | 10.38135 | 26 |
35 | 9.58436·1 | 506 | 9.96535·3 | 88 | 10.03465 | 10.41564 | 9.61901 | 10.38099 | 25 |
36 | 9.58466·5 | 506 | 9.96530·1 | 88 | 10.03470 | 10.41533 | 9.61936 | 10.38064 | 24 |
37 | 9.58496·8 | 505 | 9.96524·8 | 88 | 10.03475 | 10.41503 | 9.61972 | 10.38028 | 23 |
38 | 9.58527·2 | 505 | 9.96519·5 | 88 | 10.03480 | 10.41473 | 9.62008 | 10.37992 | 22 |
39 | 9.58557·4 | 504 | 9.96514·3 | 88 | 10.03486 | 10.41443 | 9.62043 | 10.37957 | 21 |
40 | 9.58587·7 | 504 | 9.96509·0 | 88 | 10.03491 | 10.41412 | 9.62079 | 10.37911 | 20 |
41 | 9.58617·9 | 503 | 9.96503·7 | 88 | 10.03496 | 10.41382 | 9.62114 | 10.37886 | 19 |
42 | 9.58648·2 | 503 | 9.96498·4 | 88 | 10.03502 | 10.41352 | 9.62150 | 10.37850 | 18 |
43 | 9.58678·3 | 503 | 9.96493·1 | 88 | 10.03507 | 10.41322 | 9.62185 | 10.37815 | 17 |
44 | 9.58708·5 | 502 | 9.96487·9 | 88 | 10.03512 | 10.41291 | 9.62221 | 10.37779 | 16 |
45 | 9.58738·6 | 502 | 9.96482·6 | 88 | 10.03517 | 10.41261 | 9.62256 | 10.37744 | 15 |
46 | 9.58768·8 | 501 | 9.96477·3 | 88 | 10.03523 | 10.41231 | 9.62292 | 10.37708 | 14 |
47 | 9.58798·9 | 501 | 9.96472·0 | 88 | 10.03528 | 10.41201 | 9.62327 | 10.37673 | 13 |
48 | 9.58828·9 | 501 | 9.96466·6 | 89 | 10.03533 | 10.41171 | 9.62362 | 10.37638 | 12 |
49 | 9.58859·0 | 500 | 9.96461·3 | 89 | 10.03539 | 10.41141 | 9.62398 | 10.37602 | 11 |
50 | 9.58889·0 | 500 | 9.96456·0 | 89 | 10.03544 | 10.41111 | 9.62433 | 10.37567 | 10 |
51 | 9.58919·0 | 499 | 9.96450·7 | 89 | 10.03549 | 10.41081 | 9.62468 | 10.37532 | 9 |
52 | 9.58948·9 | 499 | 9.96445·4 | 89 | 10.03555 | 10.41051 | 9.62504 | 10.37496 | 8 |
53 | 9.58978·9 | 499 | 9.96440·0 | 89 | 10.03560 | 10.41021 | 9.62539 | 10.37461 | 7 |
54 | 9.59008·8 | 498 | 9.96434·7 | 89 | 10.03565 | 10.40991 | 9.62574 | 10.37426 | 6 |
55 | 9.59038·7 | 498 | 9.96429·4 | 89 | 10.03571 | 10.40961 | 9.62609 | 10.37391 | 5 |
56 | 9.59068·6 | 497 | 9.96424·0 | 89 | 10.03576 | 10.40931 | 9.62645 | 10.37355 | 4 |
57 | 9.59098·4 | 497 | 9.96418·7 | 89 | 10.03581 | 10.40902 | 9.62680 | 10.37320 | 3 |
58 | 9.59128·2 | 497 | 9.96413·3 | 89 | 10.03587 | 10.40872 | 9.62715 | 10.37285 | 2 |
59 | 9.59158·0 | 496 | 9.96408·0 | 89 | 10.03592 | 10.40842 | 9.62750 | 10.37250 | 1 |
60 | 9.59187·8 | 9.96402·6 | 10.03597 | 10.40812 | 9.62785 | 10.37215 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
67 Degrees. |
[page] 131
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
23 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.59187·8 | 496 | 9.96403·6 | 89 | 10.03597 | 10.40813 | 9.62785 | 10.37215 | 60 |
1 | 9.59217·6 | 495 | 9.96397·2 | 89 | 10.03603 | 10.40783 | 9.62820 | 10.37180 | 59 |
2 | 9.59247·3 | 495 | 9.96391·9 | 89 | 10.03608 | 10.40753 | 9.62855 | 10.37145 | 58 |
3 | 9.59277·0 | 495 | 9.96386·5 | 90 | 10.03613 | 10.40723 | 9.62890 | 10.37110 | 57 |
4 | 9.59306·7 | 494 | 9.96381·1 | 90 | 10.03619 | 10.40693 | 9.62926 | 10.37074 | 56 |
5 | 9.59336·3 | 494 | 9.96375·7 | 90 | 10.03634 | 10.40664 | 9.62961 | 10.37039 | 55 |
6 | 9.59365·9 | 493 | 9.96370·4 | 90 | 10.03630 | 10.40634 | 9.62996 | 10.37004 | 54 |
7 | 9.59395·5 | 493 | 9.96365·0 | 90 | 10.03635 | 10.40604 | 9.63031 | 10.36969 | 53 |
8 | 9.59425·1 | 493 | 9.96359·6 | 90 | 10.03640 | 10.40575 | 9.63066 | 10.36934 | 52 |
9 | 9.59454·7 | 492 | 9.96354·2 | 90 | 10.03646 | 10.40545 | 9.63101 | 10.36899 | 51 |
10 | 9.59484·2 | 492 | 9.96348·8 | 90 | 10.03651 | 10.40516 | 9.63135 | 10.36865 | 50 |
11 | 9.59513·7 | 491 | 9.96343·4 | 90 | 10.03657 | 10.40486 | 9.63170 | 10.36830 | 49 |
12 | 9.59543·2 | 491 | 9.96337·9 | 90 | 10.03663 | 10.40457 | 9.63205 | 10.36795 | 48 |
13 | 9.59572·7 | 491 | 9.96332·5 | 90 | 10.03667 | 10.40427 | 9.63240 | 10.36760 | 47 |
14 | 9.59603·1 | 490 | 9.96327·1 | 90 | 10.03673 | 10.40398 | 9.63275 | 10.36725 | 46 |
15 | 9.59631·5 | 490 | 9.96321·7 | 90 | 10.03678 | 10.40368 | 9.63210 | 10.36690 | 45 |
16 | 9.59660·9 | 489 | 9.96316·3 | 90 | 10.03684 | 10.40339 | 9.63345 | 10.36655 | 44 |
17 | 9.59690·3 | 489 | 9.96310·8 | 91 | 10.03689 | 10.40310 | 9.63379 | 10.36621 | 43 |
18 | 9.59719·6 | 489 | 9.96305·4 | 91 | 10.03695 | 10.40380 | 9.63414 | 10.36586 | 42 |
19 | 9.59749·0 | 488 | 9.96299·9 | 91 | 10.03700 | 10.40351 | 9.63449 | 10.36551 | 41 |
20 | 9.59778·3 | 488 | 9.96294·5 | 91 | 10.03706 | 10.40322 | 9.63484 | 10.36516 | 40 |
21 | 9.59807·5 | 487 | 9.96289·0 | 91 | 10.03711 | 10.40193 | 9.63519 | 10.36481 | 39 |
22 | 9.59836·8 | 487 | 9.96283·6 | 91 | 10.03716 | 10.40163 | 9.63553 | 10.36447 | 38 |
23 | 9.59866·0 | 487 | 9.96378·1 | 91 | 10.03733 | 10.40134 | 9.63588 | 10.36413 | 37 |
24 | 9.59895·3 | 486 | 9.96272·7 | 91 | 10.03737 | 10.40105 | 9.63623 | 10.36377 | 36 |
25 | 9.59924·4 | 486 | 9.96267·2 | 91 | 10.03733 | 10.40076 | 9.63657 | 10.36343 | 35 |
26 | 9.59953·6 | 485 | 9.96261·7 | 91 | 10.03738 | 10.40046 | 9.63692 | 10.36308 | 34 |
27 | 9.59983·7 | 485 | 9.96256·2 | 91 | 10.03744 | 10.40017 | 9.63726 | 10.36374 | 33 |
28 | 9.60011·8 | 485 | 9.96250·8 | 91 | 10.03749 | 10.39988 | 9.63761 | 10.36339 | 32 |
29 | 9.60040·9 | 484 | 9.96245·3 | 91 | 10.03755 | 10.39959 | 9.63796 | 10.36204 | 31 |
30 | 9.60070·0 | 484 | 9.96239·8 | 92 | 10.03760 | 10.39930 | 9.63830 | 10.36170 | 30 |
31 | 9.60099·0 | 484 | 9.96234·3 | 92 | 10.03766 | 10.39901 | 9.63865 | 10.36135 | 29 |
32 | 9.60128·0 | 483 | 9.96328·8 | 92 | 10.03771 | 10.39872 | 9.63899 | 10.36101 | 28 |
33 | 9.60157·0 | 483 | 9.96223·3 | 92 | 10.03777 | 10.39843 | 9.63934 | 10.36066 | 27 |
34 | 9.60186·0 | 482 | 9.96317·8 | 92 | 10.03783 | 10.39814 | 9.63968 | 10.36033 | 26 |
35 | 9.60215·0 | 482 | 9.96212·3 | 92 | 10.03788 | 10.39785 | 9.64003 | 10.35997 | 25 |
36 | 9.60243·9 | 482 | 9.96306·7 | 92 | 10.03793 | 10.39756 | 9.64037 | 10.35963 | 24 |
37 | 9.60273·8 | 481 | 9.96201·3 | 92 | 10.03799 | 10.39737 | 9.64072 | 10.35938 | 23 |
38 | 9.60301·7 | 481 | 9.96195·7 | 92 | 10.03804 | 10.39698 | 9.64106 | 10.35894 | 22 |
39 | 9.60330·5 | 481 | 9.96190·2 | 92 | 10.03810 | 10.39669 | 9.64140 | 10.35860 | 21 |
40 | 9.60359·4 | 480 | 9.96184·6 | 92 | 10.03815 | 10.39641 | 9.64175 | 10.35825 | 20 |
41 | 9.60388·3 | 480 | 9.96179·1 | 92 | 10.03821 | 10.39613 | 9.64209 | 10.35791 | 19 |
42 | 9.60417·0 | 479 | 9.96173·5 | 92 | 10.03836 | 10.39583 | 9.64243 | 10.35757 | 18 |
43 | 9.60445·7 | 479 | 9.96168·0 | 93 | 10.03832 | 10.39554 | 9.64378 | 10.35722 | 17 |
44 | 9.60474·5 | 479 | 9.96162·4 | 93 | 10.03838 | 10.39526 | 9.64313 | 10.35688 | 16 |
45 | 9.60503·2 | 478 | 9.96156·9 | 93 | 10.03843 | 10.39497 | 9.64346 | 10.35654 | 15 |
46 | 9.60531·9 | 478 | 9.96151·3 | 93 | 10.03849 | 10.39468 | 9.64381 | 10.35619 | 14 |
47 | 9.60560·6 | 478 | 9.96145·8 | 93 | 10.03854 | 10.39439 | 9.64415 | 10.35585 | 13 |
48 | 9.60589·3 | 477 | 9.96140·2 | 93 | 10.03860 | 10.39411 | 9.64449 | 10.35551 | 12 |
49 | 9.60617·9 | 477 | 9.96134·6 | 93 | 10.03865 | 10.39383 | 9.64483 | 10.35517 | 11 |
50 | 9.69646·5 | 476 | 9.96129·0 | 93 | 10.03871 | 10.39354 | 9.64517 | 10.35483 | 10 |
51 | 9.60675·1 | 476 | 9.96123·5 | 93 | 10.03877 | 10.39325 | 9.64552 | 10.35448 | 9 |
52 | 9.60703·6 | 476 | 9.96117·9 | 93 | 10.03882 | 10.39396 | 9.64586 | 10.35414 | 8 |
53 | 9.60732·2 | 475 | 9.96113·3 | 93 | 10.03888 | 10.39368 | 9.64620 | 10.35380 | 7 |
54 | 9.60760·7 | 475 | 9.96106·7 | 93 | 10.03893 | 10.39239 | 9.64654 | 10.35346 | 6 |
55 | 9.60789·3 | 474 | 9.96101·1 | 93 | 10.03899 | 10.39311 | 9.64688 | 10.35312 | 5 |
56 | 9.60817·7 | 474 | 9.96095·5 | 93 | 10.03905 | 10.39183 | 9.64722 | 10.35278 | 4 |
57 | 9.60846·1 | 474 | 9.96089·9 | 93 | 10.03910 | 10.39154 | 9.64756 | 10.35244 | 3 |
58 | 9.60874·5 | 473 | 9.96084·3 | 94 | 10.03916 | 10.39125 | 9.64790 | 10.35210 | 2 |
59 | 9.60902·9 | 473 | 9.96078·6 | 94 | 10.03931 | 10.39097 | 9.64824 | 10.35176 | 1 |
60 | 9.60931·3 | 9.96073·0 | 10.03937 | 10.39069 | 9.64858 | 10.35142 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
66 Degrees. |
R 2
[page] 132
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
24 Degrees. | |||||||||
M | Sine. | Diffioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.60931·3 | 473 | 9.96073·0 | 94 | 10.33927 | 10.39069 | 9.64858 | 10.35142 | 60 |
1 | 9.60959·7 | 472 | 9.96067·4 | 94 | 10.03933 | 10.39040 | 9.64892 | 10.35108 | 59 |
2 | 9.60988·0 | 472 | 9.96061·8 | 94 | 10.03938 | 10.39014 | 9.64926 | 10.35074 | 58 |
3 | 9.61016·4 | 471 | 9.96056·1 | 94 | 10.03944 | 10.38984 | 9.64960 | 10.35040 | 57 |
4 | 9.61044·7 | 471 | 9.96050·5 | 94 | 10.03950 | 10.38955 | 9.64994 | 10.35006 | 56 |
5 | 9.61072·9 | 471 | 9.96044·8 | 94 | 10.03955 | 10.38927 | 9.65028 | 10.34972 | 55 |
6 | 9.61101·2 | 470 | 9.96039·2 | 94 | 10.03961 | 10.38899 | 9.65062 | 10.34938 | 54 |
7 | 9.61129·4 | 470 | 9.95033·5 | 94 | 10.03966 | 10.38871 | 9.65096 | 10.34904 | 53 |
8 | 9.61157·6 | 470 | 9.96027·9 | 94 | 10.03972 | 10.38842 | 9.65130 | 10.34870 | 52 |
9 | 9.61185·8 | 469 | 9.96022·2 | 94 | 10.03978 | 10.38814 | 9.65164 | 10.34836 | 51 |
10 | 9.61214·0 | 469 | 9.96016·5 | 94 | 10.03983 | 10.38786 | 9.65197 | 10.34803 | 50 |
11 | 9.61242·1 | 469 | 9.96010·2 | 95 | 10.03989 | 10.38758 | 9.65231 | 10.34769 | 49 |
12 | 9.61270·2 | 468 | 9.96005·2 | 95 | 10.03995 | 10.38730 | 9.65265 | 10.34735 | 48 |
13 | 9.61298·3 | 468 | 9.95999·5 | 95 | 10.04000 | 10.38702 | 9.65299 | 10.34701 | 47 |
14 | 9.61326·4 | 467 | 9.95993·8 | 95 | 10.04006 | 10.38674 | 9.65333 | 10.34667 | 46 |
15 | 9.61354·5 | 467 | 9.95988·2 | 95 | 10.04012 | 10.38646 | 9.65366 | 10.34634 | 45 |
16 | 9.61382·5 | 467 | 9.95982·5 | 95 | 10.04018 | 10.38618 | 9.65400 | 10.34600 | 44 |
17 | 9.61410·5 | 466 | 9.95976·8 | 95 | 10.04023 | 10.38589 | 9.65434 | 10.34566 | 43 |
18 | 9.61435·5 | 466 | 9.95971·1 | 95 | 10.04029 | 10.38562 | 9.65467 | 10.34533 | 42 |
19 | 9.61466·5 | 466 | 9.95265·4 | 95 | 10.04035 | 10.38534 | 9.65501 | 10.34499 | 41 |
20 | 9.61494·4 | 465 | 9.95959·6 | 95 | 10.04040 | 10.38506 | 9.65535 | 10.34465 | 40 |
21 | 9.61522·3 | 465 | 9.95953·9 | 95 | 10.04046 | 10.38478 | 9.65568 | 10.34432 | 39 |
22 | 9.61550·2 | 465 | 9.95948·2 | 95 | 10.04052 | 10.38450 | 9.65602 | 10.34398 | 38 |
23 | 9.61578·1 | 464 | 9.95942·5 | 95 | 10.04058 | 10.38422 | 9.65636 | 10.34364 | 37 |
24 | 9.61606·0 | 464 | 9.95936·8 | 95 | 10.04063 | 10.38394 | 9.65669 | 10.34331 | 36 |
25 | 9.61633·8 | 464 | 9.95931·0 | 96 | 10.04069 | 10.38366 | 9.65703 | 10.34297 | 35 |
26 | 9.61661·6 | 463 | 9.95925·3 | 96 | 10.04075 | 10.38338 | 9.65736 | 10.34264 | 34 |
27 | 9.61689·4 | 463 | 9.95919·5 | 96 | 10.04080 | 10.38311 | 9.65770 | 10.34230 | 33 |
28 | 9.61717·2 | 462 | 9.95913·8 | 96 | 10.04086 | 10.38283 | 9.65803 | 10.34197 | 32 |
29 | 9.61745·0 | 462 | 9.95908·0 | 96 | 10.04092 | 10.38255 | 9.65837 | 10.34163 | 31 |
30 | 9.61772·7 | 462 | 9.95902·3 | 96 | 10.04098 | 10.38227 | 9.65870 | 10.34150 | 30 |
31 | 9.61800·4 | 461 | 9.95896·5 | 96 | 10.04103 | 10.38200 | 9.65904 | 10.34096 | 29 |
32 | 9.61828·1 | 461 | 9.95890·8 | 96 | 10.04109 | 10.38172 | 9.65937 | 10.34063 | 28 |
33 | 9.61855·8 | 461 | 9.95885·0 | 96 | 10.04115 | 10.38144 | 9.65971 | 10.34029 | 27 |
34 | 9.61883·4 | 460 | 9.95879·2 | 96 | 10.04121 | 10.38117 | 9.66004 | 10.33996 | 26 |
35 | 9.61911·0 | 460 | 9.95873·4 | 96 | 10.04127 | 10.38089 | 9.66038 | 10.33962 | 25 |
36 | 9.61938·6 | 460 | 9.95867·7 | 96 | 10.04132 | 10.38061 | 9.66071 | 10.33929 | 24 |
37 | 9.61966·2 | 459 | 9.95861·9 | 96 | 10.04138 | 10.38034 | 9.66104 | 10.33896 | 23 |
38 | 9.61993·8 | 459 | 9.95856·1 | 96 | 10.04144 | 10.38006 | 9.66138 | 10.33862 | 22 |
39 | 9.62021·3 | 459 | 9.95850·3 | 97 | 10.04150 | 10.37979 | 9.66171 | 10.33829 | 21 |
40 | 9.62048·8 | 458 | 9.95844·5 | 97 | 10.04156 | 10.37951 | 9.66204 | 10.33796 | 20 |
41 | 9.62676·3 | 458 | 9.95838·7 | 97 | 10.04161 | 10.37924 | 9.66238 | 10.33762 | 19 |
42 | 9.62103·8 | 457 | 9.95832·9 | 97 | 10.04167 | 10.37896 | 9.66271 | 10.33729 | 18 |
43 | 9.62131·3 | 457 | 9.95827·1 | 97 | 10.04173 | 10.37869 | 9.66304 | 10.33696 | 17 |
44 | 9.62158·7 | 457 | 9.95821·3 | 97 | 10.04179 | 10.37841 | 9.66337 | 10.33663 | 16 |
45 | 9.62186·1 | 456 | 9.95815·4 | 97 | 10.04185 | 10.37814 | 9.66371 | 10.33629 | 15 |
46 | 9.62213·5 | 456 | 9.95809·6 | 97 | 10.04190 | 10.37786 | 9.66404 | 10.33596 | 14 |
47 | 9.62240·9 | 456 | 9.95803·8 | 97 | 10.04196 | 10.37759 | 9.66437 | 10.33563 | 13 |
48 | 9.62268·2 | 455 | 9.95797·9 | 97 | 10.04202 | 10.37732 | 9.66470 | 10.33530 | 12 |
49 | 9.62295·6 | 455 | 9.95792·1 | 97 | 10.04208 | 10.37704 | 9.66503 | 10.33497 | 11 |
50 | 9.62322·9 | 455 | 9.95786·3 | 97 | 10.04214 | 10.37677 | 9.66537 | 10.33463 | 10 |
51 | 9.62350·2 | 454 | 9.95780·4 | 97 | 10.04220 | 10.37650 | 9.66570 | 10.33430 | 9 |
52 | 9.62377·4 | 454 | 9.95774·6 | 98 | 10.04225 | 10.37623 | 9.66603 | 10.33397 | 8 |
53 | 9.62404·7 | 454 | 9.95768·7 | 98 | 10.04231 | 10.37595 | 9.66636 | 10.33364 | 7 |
54 | 9.62431·9 | 453 | 9.95762·8 | 98 | 10.04237 | 10.37568 | 9.66669 | 10.33331 | 6 |
55 | 9.62459·1 | 453 | 9.95757·0 | 98 | 10.04243 | 10.37541 | 9.66702 | 10.33298 | 5 |
56 | 9.62486·3 | 453 | 9.95751·1 | 98 | 10.04249 | 10.37514 | 9.66735 | 10.33265 | 4 |
57 | 9.62513·5 | 452 | 9.95745·2 | 98 | 10.04255 | 10.37487 | 9.66768 | 10.33232 | 3 |
58 | 9.62540·6 | 452 | 9.95939·3 | 98 | 10.04261 | 10.37459 | 9.66801 | 10.33199 | 2 |
59 | 9.62567·7 | 452 | 9.95733·5 | 98 | 10.04267 | 10.37432 | 9.66834 | 10.33166 | 1 |
60 | 9.62594·8 | 9.95727·6 | 10.04272 | 10.37405 | 9.66867 | 10.33133 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
65 Degrees. |
[page] 133
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
25 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.63594·8 | 451 | 9.95727·6 | 98 | 10.04272 | 10.37405 | 9.66867 | 10.33133 | 60 |
1 | 9.62621·9 | 451 | 9.95721·7 | 98 | 10.04278 | 10.37378 | 9.66900 | 10.33100 | 59 |
2 | 9.62649·0 | 451 | 9.95715·8 | 98 | 10.04284 | 10.37351 | 9.66933 | 10.33067 | 58 |
3 | 9.62676·0 | 450 | 9.95709·9 | 98 | 10.04290 | 10.37324 | 9.66966 | 10.33034 | 57 |
4 | 9.61703·0 | 450 | 9.95704·0 | 98 | 10.04296 | 10.37297 | 9.66999 | 10.33001 | 56 |
5 | 9.62730·0 | 450 | 9.95698·1 | 98 | 10.04302 | 10.37270 | 9.67032 | 10.32968 | 55 |
6 | 9.62757·0 | 449 | 9.95692·1 | 99 | 10.04308 | 10.37245 | 9.67065 | 10.32935 | 54 |
7 | 9.62784·0 | 449 | 9.95686·2 | 99 | 10.04314 | 10.37216 | 9.67098 | 10.32002 | 53 |
8 | 9.62810·9 | 449 | 9.95680·3 | 99 | 10.04320 | 10.37189 | 9.67131 | 10.32869 | 52 |
9 | 9.62837·8 | 448 | 9.95674·4 | 99 | 10.04326 | 10.37162 | 9.67163 | 10.32837 | 51 |
10 | 9.62864·7 | 448 | 9.95668·4 | 99 | 10.04332 | 10.37135 | 9.67196 | 10.32804 | 50 |
11 | 9.62891·6 | 447 | 9.95662·5 | 99 | 10.04337 | 10.37108 | 9.67229 | 10.32771 | 49 |
12 | 9.61918·5 | 447 | 9.95656·6 | 99 | 10.04343 | 10.37082 | 9.67262 | 10.32738 | 48 |
13 | 9.62945·3 | 447 | 9.95650·6 | 99 | 10.04349 | 10.37055 | 9.67295 | 10.32705 | 47 |
14 | 9.62972·1 | 446 | 9.95644·7 | 99 | 10.04355 | 10.37028 | 9.67327 | 10.32673 | 46 |
15 | 9.62998·9 | 446 | 9.95638·7 | 99 | 10.04361 | 10.37001 | 9.67360 | 10.32640 | 45 |
16 | 9.63025·7 | 446 | 9.95632·7 | 99 | 10.04367 | 10.36974 | 9.67393 | 10.32607 | 44 |
17 | 9.63052·4 | 446 | 9.95616·8 | 99 | 10.04373 | 10.36948 | 9.67426 | 10.32574 | 43 |
18 | 9.63079·2 | 445 | 9.95620·8 | 100 | 10.04379 | 10.36921 | 9.67458 | 10.32542 | 42 |
19 | 9.63105·9 | 445 | 9.95614·8 | 100 | 10.04385 | 10.36894 | 9.67491 | 10.32509 | 41 |
20 | 9.63132·6 | 445 | 9.95608·9 | 100 | 10.04391 | 10.36867 | 9.67524 | 10.32476 | 40 |
21 | 9.63159·3 | 444 | 9.95602·9 | 100 | 10.04397 | 10.36841 | 9.67556 | 10.32444 | 39 |
22 | 9.63185·9 | 444 | 9.95596·9 | 100 | 10.04403 | 10.36814 | 9.67589 | 10.32411 | 38 |
23 | 9.63212·5 | 444 | 9.95590·9 | 100 | 10.04409 | 10.36787 | 9.67622 | 10.32378 | 37 |
24 | 9.63239·2 | 443 | 9.95584·9 | 100 | 10.04415 | 10.36761 | 9.67654 | 10.32346 | 36 |
25 | 9.63265·8 | 443 | 9.95578·9 | 100 | 10.04421 | 10.36734 | 9.67687 | 10.32313 | 35 |
26 | 9.63292·3 | 443 | 9.95572·9 | 100 | 10.04427 | 10.36708 | 9.67719 | 10.32281 | 34 |
27 | 9.63318·9 | 442 | 9.95566·9 | 100 | 10.04433 | 10.36681 | 9.67752 | 10.32248 | 33 |
28 | 9.63345·4 | 442 | 9.95560·9 | 100 | 10.04439 | 10.36655 | 9.67785 | 10.32215 | 32 |
29 | 9.63371·9 | 442 | 9.95554·8 | 100 | 10.04445 | 10.36628 | 9.67817 | 10.32183 | 31 |
30 | 9.63393·4 | 441 | 9.95548·8 | 100 | 10.04451 | 10.36602 | 9.67850 | 10.32150 | 30 |
31 | 9.63424·9 | 441 | 9.95542·8 | 101 | 10.04457 | 10.36575 | 9.67882 | 10.32118 | 29 |
32 | 9.63451·4 | 440 | 9.95536·8 | 101 | 10.04463 | 10.36549 | 9.67915 | 10.32085 | 28 |
33 | 9.63477·8 | 440 | 9.95530·7 | 101 | 10.04469 | 10.36522 | 9.67947 | 10.32053 | 27 |
34 | 9.63504·2 | 440 | 9.95524·7 | 101 | 10.04475 | 10.36496 | 9.67980 | 10.32020 | 26 |
35 | 9.63530·6 | 439 | 9.95518·6 | 101 | 10.04481 | 10.36469 | 9.68012 | 10.31988 | 25 |
36 | 9.63557·0 | 439 | 9.95512·6 | 101 | 10.04487 | 10.36443 | 9.68044 | 10.31956 | 24 |
37 | 9.63583·4 | 439 | 9.95506·5 | 101 | 10.04493 | 10.36417 | 9.68077 | 10.31923 | 23 |
38 | 9.63609·7 | 438 | 9.95500·5 | 101 | 10.04500 | 10.36390 | 9.68109 | 10.31891 | 22 |
39 | 9.63636·0 | 438 | 9.95494·4 | 101 | 10.04506 | 10.36364 | 9.68142 | 10.31858 | 21 |
40 | 9.63662·3 | 438 | 9.95488·3 | 101 | 10.04512 | 10.36338 | 9.68174 | 10.31826 | 20 |
41 | 5.63688·6 | 437 | 9.95482·3 | 101 | 10.04518 | 10.36311 | 9.68206 | 10.31794 | 19 |
42 | 9.63714·8 | 437 | 9.95476·2 | 101 | 10.04524 | 10.36285 | 9.68239 | 10.31761 | 18 |
43 | 9.63741·1 | 437 | 9.95470·1 | 101 | 10.04530 | 10.36259 | 9.68271 | 10.31729 | 17 |
44 | 9.63767·3 | 437 | 9.95464·0 | 101 | 10.04536 | 10.36233 | 9.68303 | 10.31697 | 16 |
45 | 9.63793·5 | 436 | 9.95457·9 | 101 | 10.04542 | 10.36206 | 9.68336 | 10.31664 | 15 |
46 | 9.63819·7 | 436 | 9.95451·8 | 102 | 10.04548 | 10.36180 | 9.68368 | 10.31632 | 14 |
47 | 9.63845·8 | 436 | 9.95445·7 | 102 | 10.04554 | 10.36154 | 9.68400 | 10.31600 | 13 |
48 | 9.63872·0 | 435 | 9.95439·6 | 102 | 10.04560 | 10.36128 | 9.68432 | 10.31568 | 12 |
49 | 9.63898·1 | 435 | 9.95433·5 | 102 | 10.04566 | 10.36102 | 9.68465 | 10.31535 | 11 |
50 | 9.63924·2 | 435 | 9.95427·4 | 102 | 10.04573 | 10.36076 | 9.68497 | 10.31503 | 10 |
51 | 9.63950·3 | 434 | 9.95421·3 | 102 | 10.04579 | 10.36050 | 9.68529 | 10.31471 | 9 |
52 | 9.63976·4 | 434 | 9.95415·2 | 102 | 10.04585 | 10.36024 | 9.68561 | 10.31439 | 8 |
53 | 9.64002·4 | 434 | 9.95409·0 | 102 | 10.04591 | 10.35998 | 9.68593 | 10.31407 | 7 |
54 | 9.64028·4 | 433 | 9.95402·9 | 102 | 10.04597 | 10.35972 | 9.68626 | 10.31374 | 6 |
55 | 9.64054·4 | 433 | 9.95396·8 | 102 | 10.04603 | 10.35946 | 9.68658 | 10.31342 | 5 |
56 | 9.64080·4 | 433 | 9.95390·6 | 102 | 10.04609 | 10.35920 | 9.68690 | 10.31310 | 4 |
57 | 9.64106·4 | 432 | 9.95384·5 | 102 | 10.04616 | 10.35894 | 9.68722 | 10.31278 | 3 |
58 | 9.64132·4 | 432 | 9.95378·3 | 102 | 10.04622 | 10.35868 | 9.68754 | 10.31246 | 2 |
59 | 9.64158·3 | 432 | 9.95372·2 | 103 | 10.04628 | 10.35842 | 9.68786 | 10.31214 | 1 |
60 | 9.64184·2 | 9.95366·0 | 10.04634 | 10.35816 | 9.68818 | 10.31182 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
64 Degrees. |
[page] 134
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
26 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.64184·2 | 431 | 9.95366·0 | 103 | 10.04634 | 10.35816 | 9.68818 | 10.31182 | 60 |
1 | 9.64210·1 | 431 | 9.95359·9 | 103 | 10.04640 | 10.35790 | 9.68850 | 10.31150 | 59 |
2 | 9.64236·0 | 431 | 9.95353·7 | 103 | 10.04646 | 10.35764 | 9.68882 | 10.31118 | 58 |
3 | 9.64261·8 | 430 | 9.95347·5 | 103 | 10.04652 | 10.35738 | 9.68914 | 10.31086 | 57 |
4 | 9.64287·7 | 430 | 9.95341·3 | 103 | 10.04659 | 10.35712 | 9.68946 | 10.31054 | 56 |
5 | 9.64313·5 | 430 | 9.95335·2 | 103 | 10.04665 | 10.35687 | 9.68978 | 10.31022 | 55 |
6 | 9.64339·3 | 430 | 9.95329·0 | 103 | 10.04671 | 10.35661 | 9.69010 | 10.30990 | 54 |
7 | 9.64365·0 | 429 | 9.95322·8 | 103 | 10.04677 | 10.35635 | 9.69042 | 10.30958 | 53 |
8 | 9.64390·8 | 429 | 9.95316·6 | 103 | 10.04683 | 10.35609 | 9.69074 | 10.30926 | 52 |
9 | 9.64416·5 | 429 | 9.95310·4 | 103 | 10.04690 | 10.35583 | 9.69106 | 10.30894 | 51 |
10 | 9.64442·3 | 428 | 9.95304·2 | 103 | 10.04696 | 10.35558 | 9.69138 | 10.30862 | 50 |
11 | 9.64468·0 | 428 | 9.95298·0 | 104 | 10.04702 | 10.35532 | 9.69170 | 10.30830 | 49 |
12 | 9.64493·6 | 428 | 9.95291·8 | 104 | 10.04708 | 10.35506 | 9.69202 | 10.30798 | 48 |
13 | 9.64519·3 | 427 | 9.95285·5 | 104 | 10.04714 | 10.35481 | 9.69234 | 10.30766 | 47 |
14 | 9.64545·0 | 427 | 9.95279·3 | 104 | 10.04721 | 10.35455 | 9.69266 | 10.30734 | 46 |
15 | 9.64570·6 | 427 | 9.95273·1 | 104 | 10.04727 | 10.35429 | 9.69298 | 10.30702 | 45 |
16 | 9.64596·2 | 426 | 9.95266·9 | 104 | 10.04733 | 10.35404 | 9.69329 | 10.30671 | 44 |
17 | 9.64621·8 | 426 | 9.95260·6 | 104 | 10.04739 | 10.35378 | 9.69361 | 10.30639 | 43 |
18 | 9.64647·4 | 426 | 9.95254·4 | 104 | 10.04746 | 10.35353 | 9.69393 | 10.30607 | 42 |
19 | 9.64672·9 | 425 | 9.95248·1 | 104 | 10.04752 | 10.35327 | 9.69425 | 10.30575 | 41 |
20 | 9.64698·4 | 425 | 9.95241·9 | 104 | 10.04758 | 10.35302 | 9.69457 | 10.30543 | 40 |
21 | 9.64724·0 | 425 | 9.95235·6 | 104 | 10.04764 | 10.35276 | 9.69488 | 10.30512 | 39 |
22 | 9.64749·4 | 424 | 9.95229·4 | 104 | 10.04771 | 10.35251 | 9.69520 | 10.30480 | 38 |
23 | 9.64774·9 | 424 | 9.95223·1 | 104 | 10.04777 | 10.35225 | 9.69552 | 10.30448 | 37 |
24 | 9.64800·4 | 424 | 9.95216·8 | 105 | 10.04783 | 10.35200 | 9.69584 | 10.30416 | 36 |
25 | 9.64825·8 | 424 | 9.95210·6 | 105 | 10.04789 | 10.35174 | 9.69615 | 10.30385 | 35 |
26 | 9.64851·2 | 423 | 9.95204·3 | 105 | 10.04796 | 10.35149 | 9.69647 | 10.30353 | 34 |
27 | 9.64876·6 | 423 | 9.95198·0 | 105 | 10.04802 | 10.35123 | 9.69679 | 10.30321 | 33 |
28 | 9.64902·0 | 423 | 9.95191·7 | 105 | 10.04808 | 10.35098 | 9.69710 | 10.30290 | 32 |
29 | 9.64927·4 | 422 | 9.95185·4 | 105 | 10.04815 | 10.35073 | 9.69742 | 10.30258 | 31 |
30 | 9.64952·7 | 422 | 9.95179·1 | 105 | 10.04821 | 10.35047 | 9.69774 | 10.30226 | 30 |
31 | 9.64978·1 | 422 | 9.95172·8 | 105 | 10.04827 | 10.35022 | 9.69805 | 10.30195 | 29 |
32 | 9.65003·4 | 422 | 9.95166·5 | 105 | 10.04833 | 10.34997 | 9.69837 | 10.30163 | 28 |
33 | 9.65028·7 | 421 | 9.95160·2 | 105 | 10.04840 | 10.34971 | 9.69868 | 10.30132 | 27 |
34 | 9.65053·9 | 421 | 9.95153·9 | 105 | 10.04846 | 10.34946 | 9.69900 | 10.30100 | 26 |
35 | 9.65079·2 | 421 | 9.951·47.6 | 105 | 10.04852 | 10.34921 | 9.69932 | 10.30068 | 25 |
36 | 9.65104·4 | 420 | 9.95141·2 | 105 | 10.04859 | 10.34896 | 9.69963 | 10.30037 | 24 |
37 | 9.65129·7 | 420 | 9.95134·9 | 106 | 10.04865 | 10.34870 | 9.69995 | 10.30005 | 23 |
38 | 9.65154·9 | 420 | 9.95128·6 | 106 | 10.04871 | 10.34845 | 9.70026 | 10.29974 | 22 |
39 | 9.65180·0 | 419 | 9.95122·2 | 106 | 10.04878 | 10.34820 | 9.70058 | 10.29942 | 21 |
40 | 9.65205·2 | 419 | 9.95115·9 | 106 | 10.04884 | 10.34795 | 9.70089 | 10.29911 | 20 |
41 | 9.65230·4 | 419 | 9.95109·6 | 106 | 10.04890 | 10.34770 | 9.70121 | 10.29879 | 19 |
42 | 9.65255·5 | 418 | 9.95103·2 | 106 | 10.04897 | 10.34745 | 9.70152 | 10.29848 | 18 |
43 | 9.65280·6 | 418 | 9.95096·8 | 106 | 10.04903 | 10.34719 | 9.70184 | 10.29816 | 17 |
44 | 9.65305·7 | 418 | 9.95090·5 | 106 | 10.04910 | 10.34694 | 9.70215 | 10.29785 | 16 |
45 | 9.65330·8 | 418 | 9.95084·1 | 106 | 10.04916 | 10.34669 | 9.70247 | 10.29753 | 15 |
46 | 9.65355·8 | 417 | 9.95077·8 | 106 | 10.04922 | 10.34644 | 9.70278 | 10.29722 | 14 |
47 | 9.65380·8 | 417 | 9.95071·4 | 106 | 10.04929 | 10.34619 | 9.70309 | 10.29691 | 13 |
48 | 9.65405·9 | 417 | 9.95065·0 | 106 | 10.04935 | 10.34594 | 9.70341 | 10.29659 | 12 |
49 | 9.65430·9 | 416 | 9.95058·6 | 106 | 10.04941 | 10.34569 | 9.70372 | 10.29628 | 11 |
50 | 9.65455·8 | 416 | 9.95052·2 | 107 | 10.04948 | 10.34544 | 9.70404 | 10.29596 | 10 |
51 | 9.65480·8 | 416 | 9.95045·8 | 107 | 10.04954 | 10.34519 | 9.70435 | 10.29565 | 9 |
52 | 9.65505·8 | 415 | 9.95039·4 | 107 | 10.04961 | 10.34494 | 9.70466 | 10.29534 | 8 |
53 | 9.65305·7 | 415 | 9.95033·0 | 107 | 10.04967 | 10.34469 | 9.70498 | 10.29502 | 7 |
54 | 9.65555·6 | 415 | 9.95026·6 | 107 | 10.04973 | 10.34444 | 9.70529 | 10.29471 | 6 |
55 | 9.65580·5 | 415 | 9.95020·2 | 107 | 10.04980 | 10.34420 | 9.70560 | 10.29440 | 5 |
56 | 9.65605·4 | 414 | 9.95013·8 | 107 | 10.04986 | 10.34395 | 9.70592 | 10.29408 | 4 |
57 | 9.65630·2 | 414 | 9.95007·4 | 107 | 10.04993 | 10.34370 | 9.70623 | 10.29377 | 3 |
58 | 9.65655·1 | 414 | 9.95001·0 | 107 | 10.04999 | 10.34345 | 9.70654 | 10.29346 | 2 |
59 | 9.65679·9 | 413 | 9.94994·5 | 107 | 10.05005 | 10.34320 | 9.70685 | 10.29315 | 1 |
60 | 9.65704·7 | 9.94988·1 | 10.05012 | 10.34295 | 9.70717 | 10.29283 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
63 Degrees. |
[page] 135
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
27 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.65704·7 | 413 | 9.94988·1 | 107 | 10.05012 | 10.34295 | 9.70717 | 10.29283 | 60 |
1 | 9.65719·5 | 413 | 9.94981·6 | 107 | 10.05018 | 10.34271 | 9.70748 | 10.29252 | 59 |
2 | 9.65754·2 | 412 | 9.94975·2 | 107 | 10.05025 | 10.34246 | 9.70779 | 10.29221 | 58 |
3 | 9.65779·0 | 412 | 9.94968·8 | 108 | 10.05031 | 10.34221 | 9.70810 | 10.29190 | 57 |
4 | 9.65803·7 | 412 | 9.99496·3 | 108 | 10.05038 | 10.34196 | 9.70841 | 10.29159 | 56 |
5 | 9.65828·4 | 412 | 9.94955·8 | 108 | 10.05044 | 10.34172 | 9.70873 | 10.29127 | 55 |
6 | 9.65853·1 | 411 | 9.94949·4 | 108 | 10.05051 | 10.34147 | 9.70904 | 10.29096 | 54 |
7 | 9.65877·8 | 411 | 9.94942·9 | 108 | 10.05057 | 10.34122 | 9.70935 | 10.29065 | 53 |
8 | 9.65902·5 | 411 | 9.94936·4 | 108 | 10.05064 | 10.34098 | 9.70966 | 10.29034 | 52 |
9 | 9.65927·1 | 410 | 9.94930·0 | 108 | 10.05070 | 10.34073 | 9.70997 | 10.29003 | 51 |
10 | 9.65951·7 | 410 | 9.94923·5 | 108 | 10.05077 | 10.34048 | 9.71028 | 10.28972 | 50 |
11 | 9.65976·3 | 410 | 9.94917·0 | 108 | 10.05083 | 10.34024 | 9.71059 | 10.28941 | 49 |
12 | 9.66000·9 | 409 | 9.94910·5 | 108 | 10.05089 | 10.33999 | 9.71090 | 10.28910 | 48 |
13 | 9.66025·5 | 409 | 9.94904·0 | 108 | 10.05096 | 10.33975 | 9.71121 | 10.28879 | 47 |
14 | 9.66050·1 | 409 | 9.94897·5 | 108 | 10.05102 | 10.33950 | 9.71153 | 10.28847 | 46 |
15 | 9.66074·6 | 409 | 9.94891·0 | 108 | 10.05109 | 10.33925 | 9.71184 | 10.28816 | 45 |
16 | 9.66099·1 | 408 | 9.94884·5 | 108 | 10.05115 | 10.33901 | 9.71215 | 10.28785 | 44 |
17 | 9.66123·6 | 408 | 9.94878·0 | 109 | 10.05122 | 10.33876 | 9.71246 | 10.28754 | 43 |
18 | 9.66148·1 | 408 | 9.94871·5 | 109 | 10.05129 | 10.33852 | 9.71277 | 10.28723 | 42 |
19 | 9.66172·6 | 407 | 9.94865·0 | 109 | 10.05135 | 10.33827 | 9.71308 | 10.28692 | 41 |
20 | 9.66197·0 | 407 | 9.94858·4 | 109 | 10.05142 | 10.33803 | 9.71339 | 10.28661 | 40 |
21 | 9.66221·4 | 407 | 9.94851·9 | 109 | 10.05148 | 10.33779 | 9.71370 | 10.28630 | 39 |
22 | 9.66245·9 | 407 | 9.94845·4 | 109 | 10.05155 | 10.33754 | 9.71401 | 10.28599 | 38 |
23 | 9.66270·3 | 406 | 9.94838·8 | 109 | 10.05161 | 10.33730 | 9.71431 | 10.28569 | 37 |
24 | 9.66294·6 | 406 | 9.94832·3 | 109 | 10.05168 | 10.33705 | 9.71462 | 10.28538 | 36 |
25 | 9.66319·0 | 406 | 9.94825·7 | 109 | 10.05174 | 10.33681 | 9.71493 | 10.28507 | 35 |
26 | 9.66343·3 | 405 | 9.94819·2 | 109 | 10.05181 | 10.33657 | 9.71524 | 10.28476 | 34 |
27 | 9.66367·7 | 405 | 9.94812·6 | 109 | 10.05187 | 10.33632 | 9.71555 | 10.28445 | 33 |
28 | 9.66392·0 | 405 | 9.94806·0 | 109 | 10.05194 | 10.33608 | 9.71586 | 10.28414 | 32 |
29 | 9.66416·3 | 405 | 9.94799·5 | 110 | 10.05201 | 10.33584 | 9.71617 | 10.28383 | 31 |
30 | 9.66440·6 | 404 | 9.94792·9 | 110 | 10.05207 | 10.33559 | 9.71648 | 10.28352 | 30 |
31 | 9.66464·8 | 404 | 9.94786·3 | 110 | 10.05214 | 10.33535 | 9.71679 | 10.28321 | 29 |
32 | 9.66489·1 | 404 | 9.94779·7 | 110 | 10.05220 | 10.33511 | 9.71709 | 10.28291 | 28 |
33 | 9.66513·3 | 403 | 9.94773·1 | 110 | 10.05227 | 10.33487 | 9.71740 | 10.28260 | 27 |
34 | 9.66537·5 | 403 | 9.94766·5 | 110 | 10.05233 | 10.33463 | 9.71771 | 10.28229 | 26 |
35 | 9.66561·7 | 403 | 9.94760·0 | 110 | 10.05240 | 10.33438 | 9.71802 | 10.28198 | 25 |
36 | 9.66585·9 | 402 | 9.94753·3 | 110 | 10.05247 | 10.33414 | 9.71833 | 10.28167 | 24 |
37 | 9.66610·0 | 402 | 9.94746·7 | 110 | 10.05253 | 10.33390 | 9.71863 | 10.28137 | 23 |
38 | 9.66634·2 | 402 | 9.94740·1 | 110 | 10.05260 | 10.33366 | 9.71894 | 10.28106 | 22 |
39 | 9.66658·3 | 402 | 9.94733·5 | 110 | 10.05266 | 10.33342 | 9.71925 | 10.28075 | 21 |
40 | 9.66682·4 | 401 | 9.94726·9 | 110 | 10.05273 | 10.33318 | 9.71955 | 10.28045 | 20 |
41 | 9.66706·5 | 401 | 9.94720·3 | 110 | 10.05280 | 10.33294 | 9.71986 | 10.28014 | 19 |
42 | 9.66730·5 | 401 | 9.94713·6 | 111 | 10.05286 | 10.33269 | 9.72017 | 10.27983 | 18 |
43 | 9.66754·6 | 401 | 9.94707·0 | 111 | 10.05293 | 10.33245 | 9.75048 | 10.27952 | 17 |
44 | 9.66778·6 | 400 | 9.94700·4 | 111 | 10.05300 | 10.33221 | 9.72078 | 10.27922 | 16 |
45 | 9.66802·7 | 400 | 9.94693·7 | 111 | 10.05306 | 10.33197 | 9.72109 | 10.27891 | 15 |
46 | 9.66826·7 | 400 | 9.94687·1 | 111 | 10.05313 | 10.33173 | 9.72140 | 10.27860 | 14 |
47 | 9.66850·6 | 399 | 9.94680·4 | 111 | 10.05320 | 10.33149 | 9.72170 | 10.27830 | 13 |
48 | 9.66874·6 | 399 | 9.94673·8 | 111 | 10.05326 | 10.33125 | 9.72301 | 10.27799 | 12 |
49 | 9.66898·6 | 399 | 9.94667·1 | 111 | 10.05333 | 10.33101 | 9.72231 | 10.27769 | 11 |
50 | 9.66922·5 | 399 | 9.94660·4 | 111 | 10.05340 | 10.33078 | 9.72262 | 10.27738 | 10 |
51 | 9.66946·4 | 398 | 9.94653·8 | 111 | 10.05346 | 10.33054 | 9.72293 | 10.27707 | 9 |
52 | 9.66970·3 | 398 | 9.94647·1 | 111 | 10.05353 | 10.33030 | 9.72323 | 10.27677 | 8 |
53 | 9.66994·2 | 398 | 9.94640·4 | 111 | 10.05360 | 10.33006 | 9.72354 | 10.27646 | 7 |
54 | 9.67018·1 | 397 | 9.94633·7 | 111 | 10.05366 | 10.32952 | 9.72384 | 10.27616 | 6 |
55 | 9.67041·9 | 397 | 9.94627·0 | 112 | 10.05373 | 10.32958 | 9.72415 | 10.27585 | 5 |
56 | 9.67065·8 | 397 | 9.94620·3 | 112 | 10.05380 | 10.32934 | 9.72445 | 10.27555 | 4 |
57 | 9.67089·6 | 397 | 9.94613·6 | 112 | 10.05386 | 10.32910 | 9.72476 | 10.27524 | 3 |
58 | 9.67113·4 | 396 | 9.94606·9 | 112 | 10.05393 | 10.32887 | 9.72506 | 10.27494 | 2 |
59 | 9.67137·2 | 396 | 9.94600·2 | 112 | 10.05400 | 10.32863 | 9.72537 | 10.27463 | 1 |
60 | 9.67160·9 | 9.94593·5 | 10.05407 | 10.32839 | 9.72567 | 10.27433 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
62 Degrees. |
[page] 136
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
28 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.67160·9 | 396 | 9.94593·5 | 112 | 10.05407 | 10.32839 | 9.72567 | 10.27433 | 60 |
1 | 9.67184·7 | 395 | 9.94586·8 | 112 | 10.05413 | 10.32815 | 9.72598 | 10.27401 | 59 |
2 | 9.67308·4 | 395 | 9.94580·0 | 112 | 10.05420 | 10.32792 | 9.72628 | 10.27372 | 58 |
3 | 9.67233·1 | 395 | 9.94573·3 | 112 | 10.05427 | 10.32768 | 9.72659 | 10.27341 | 57 |
4 | 9.67255·3 | 395 | 9.94566·6 | 112 | 10.05433 | 10.32744 | 9.72689 | 10.27311 | 56 |
5 | 9.67279·5 | 394 | 9.94559·8 | 112 | 10.05440 | 10.32720 | 9.72720 | 10.27280 | 55 |
6 | 9.67303·2 | 394 | 9.94553·1 | 112 | 10.05447 | 10.32697 | 9.72750 | 10.27250 | 54 |
7 | 9.67326·8 | 394 | 9.94546·4 | 113 | 10.05454 | 10.32673 | 9.72780 | 10.27220 | 53 |
8 | 9.67350·5 | 394 | 9.94539·6 | 113 | 10.05460 | 10.32650 | 9.72811 | 10.27189 | 52 |
9 | 9.67374·1 | 393 | 9.94532·8 | 113 | 10.05467 | 10.32626 | 9.72841 | 10.27159 | 51 |
10 | 9.67397·7 | 393 | 9.94526·1 | 113 | 10.05474 | 10.32602 | 9.72872 | 10.27128 | 50 |
11 | 9.67421·3 | 393 | 9.94519·3 | 113 | 10.05481 | 10.32579 | 9.72902 | 10.27098 | 49 |
12 | 9.67444·8 | 392 | 9.94512·5 | 113 | 10.05487 | 10.32555 | 9.72932 | 10.27068 | 48 |
13 | 9.67468·4 | 392 | 9.94505·8 | 113 | 10.05494 | 10.32532 | 9.72963 | 10.27037 | 47 |
14 | 9.67491·9 | 392 | 9.94499·0 | 113 | 10.05501 | 10.32508 | 9.72993 | 10.27007 | 46 |
15 | 9.67515·5 | 392 | 9.94492·2 | 113 | 10.05508 | 10.32485 | 9.73023 | 10.26977 | 45 |
16 | 9.67539·0 | 391 | 9.94485·4 | 113 | 10.05515 | 10.32461 | 9.73054 | 10.26946 | 44 |
17 | 9.67562·4 | 391 | 9.94478·6 | 113 | 10.05521 | 10.32438 | 9.73084 | 10.26916 | 43 |
18 | 9.67585·9 | 391 | 9.94471·8 | 113 | 10.05528 | 10.32414 | 9.73114 | 10.26886 | 42 |
19 | 9.67609·4 | 391 | 9.94465·0 | 113 | 10.05535 | 10.32391 | 9.73144 | 10.26856 | 41 |
20 | 9.67632·8 | 390 | 9.94458·2 | 114 | 10.05542 | 10.32367 | 9.73175 | 10.26825 | 40 |
21 | 9.67656·2 | 390 | 9.94451·4 | 114 | 10.05549 | 10.32344 | 9.73205 | 10.26795 | 39 |
22 | 9.67679·6 | 390 | 9.94444·6 | 114 | 10.05555 | 10.32320 | 9.73235 | 10.26765 | 38 |
23 | 9.67703·0 | 390 | 9.94437·7 | 114 | 10.05562 | 10.32297 | 9.73265 | 10.26735 | 37 |
24 | 9.67726·4 | 389 | 9.94430·9 | 114 | 10.05569 | 10.32274 | 9.73295 | 10.26705 | 36 |
25 | 9.67749·8 | 389 | 9.94424·1 | 114 | 10.05576 | 10.32250 | 9.73326 | 10.26674 | 35 |
26 | 9.67773·1 | 389 | 9.94417·2 | 114 | 10.05583 | 10.32227 | 9.73356 | 10.26644 | 34 |
27 | 9.67796·4 | 388 | 9.94410·4 | 114 | 10.05590 | 10.32204 | 9.73386 | 10.26614 | 33 |
28 | 9.67819·7 | 388 | 9.94403·6 | 114 | 10.05596 | 10.32180 | 9.73416 | 10.26584 | 32 |
29 | 9.67843·0 | 388 | 9.94396·7 | 114 | 10.05603 | 10.33157 | 9.73446 | 10.26554 | 31 |
30 | 9.67866·3 | 388 | 9.94389·9 | 114 | 10.05610 | 10.32134 | 9.73476 | 10.26524 | 30 |
31 | 9.67889·5 | 387 | 9.94383·0 | 114 | 10.05617 | 10.32110 | 9.73507 | 10.26493 | 29 |
32 | 9.67912·8 | 387 | 9.94376·1 | 114 | 10.05624 | 10.32087 | 9.73537 | 10.26463 | 28 |
33 | 9.67936·0 | 387 | 9.94369·3 | 115 | 10.05631 | 10.32064 | 9.73567 | 10.26433 | 27 |
34 | 9.67959·2 | 387 | 9.94362·4 | 115 | 10.05658 | 10.32041 | 9.73597 | 10.26403 | 26 |
35 | 9.67982·4 | 386 | 9.94355·5 | 115 | 10.05645 | 10.32018 | 9.73627 | 10.26373 | 25 |
36 | 9.68005·6 | 386 | 9.94348·6 | 115 | 10.05651 | 10.31994 | 9.73657 | 10.26343 | 24 |
37 | 9.68028·8 | 386 | 9.94341·7 | 115 | 10.05658 | 10.31971 | 9.73687 | 10.26313 | 23 |
38 | 9.68051·9 | 385 | 9.94334·8 | 115 | 10.05665 | 10.31948 | 9.73717 | 10.26283 | 22 |
39 | 9.68075·0 | 385 | 9.94327·9 | 115 | 10.05672 | 10.31925 | 9.73747 | 10.26253 | 21 |
40 | 9.68098·2 | 385 | 9.94321·0 | 115 | 10.05679 | 10.31902 | 9.73777 | 10.26223 | 20 |
41 | 9.68121·3 | 385 | 9.94314·1 | 115 | 10.05686 | 10.31879 | 9.73807 | 10.26193 | 19 |
42 | 9.68144·3 | 384 | 9.94307·2 | 115 | 10.05693 | 10.31856 | 9.73837 | 10.26163 | 18 |
43 | 9.68167·4 | 384 | 9.94300·3 | 115 | 10.05700 | 10.31833 | 9.73867 | 10.26133 | 17 |
44 | 9.68190·5 | 384 | 9.94293·4 | 115 | 10.05707 | 10.31810 | 9.73897 | 10.26103 | 16 |
45 | 9.68213·5 | 384 | 9.94286·4 | 115 | 10.05714 | 10.31787 | 9.73927 | 10.26073 | 15 |
46 | 9.68236·5 | 383 | 9.94279·5 | 116 | 10.05721 | 10.31763 | 9.73957 | 10.26043 | 14 |
47 | 9.68259·5 | 383 | 9.94272·6 | 116 | 10.05727 | 10.31740 | 9.73987 | 10.26013 | 13 |
48 | 9.68282·5 | 383 | 9.94265·6 | 116 | 10.05734 | 10.31717 | 9.74017 | 10.25983 | 12 |
49 | 9.68305·5 | 383 | 9.94358·7 | 116 | 10.05741 | 10.31695 | 9.74047 | 10.25953 | 11 |
50 | 9.68328·4 | 382 | 9.94251·7 | 116 | 10.05748 | 10.31672 | 9.74077 | 10.25923 | 10 |
51 | 9.68351·4 | 382 | 9.94244·8 | 116 | 10.05755 | 10.31649 | 9.74107 | 10.25893 | 9 |
52 | 9.68374·3 | 382 | 9.94237·8 | 116 | 10.05762 | 10.31626 | 9.74137 | 10.25863 | 8 |
53 | 9.68397·2 | 382 | 9.94230·8 | 116 | 10.05769 | 10.31603 | 9.74166 | 10.25834 | 7 |
54 | 9.68420·1 | 381 | 9.94223·9 | 116 | 10.05776 | 10.31580 | 9.74196 | 10.23804 | 6 |
55 | 9.68443·0 | 381 | 9.94216·9 | 116 | 10.05783 | 10.31557 | 9.74226 | 10.25774 | 5 |
56 | 9.68465·8 | 381 | 9.94209·9 | 116 | 10.05790 | 10.31534 | 9.74256 | 10.25744 | 4 |
57 | 9.68488·7 | 380 | 9.94202·9 | 116 | 10.05797 | 10.31511 | 9.74286 | 10.25714 | 3 |
58 | 9.68511·5 | 380 | 9.94195·9 | 116 | 10.05804 | 10.31488 | 9.74316 | 10.25684 | 2 |
59 | 9.68534·3 | 580 | 9.94188·9 | 117 | 10.05811 | 10.31466 | 9.74345 | 10.25655 | 1 |
60 | 9.68557·1 | 9.94181·9 | 10.05818 | 10.31443 | 9.74375 | 10.25625 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
61 Degrees. |
[page] 137
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
29 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.68557·1 | 380 | 9.94181·9 | 117 | 10.05818 | 10.31443 | 9.74375 | 10.25625 | 60 |
1 | 9.68579·9 | 379 | 9.94174·9 | 117 | 10.05825 | 10.31420 | 9.74405 | 10.25595 | 59 |
2 | 9.68602·7 | 379 | 9.94167·9 | 117 | 10.05832 | 10.31397 | 9.74435 | 10.25565 | 58 |
3 | 9.68625·4 | 379 | 9.94160·9 | 117 | 10.05839 | 10.31375 | 9.74465 | 10.25535 | 57 |
4 | 9.68648·2 | 379 | 9.94153·9 | 117 | 10.05846 | 10.31352 | 9.74494 | 10.25506 | 56 |
5 | 9.68670·9 | 378 | 9.94146·9 | 117 | 10.05853 | 10.31329 | 9.74524 | 10.25476 | 55 |
6 | 9.68693·6 | 378 | 9.94139·8 | 117 | 10.05860 | 10.31306 | 9.74554 | 10.25446 | 54 |
7 | 9.68716·3 | 378 | 9.94132·8 | 117 | 10.05867 | 10.31284 | 9.74583 | 10.25417 | 53 |
8 | 9.68738·6 | 378 | 9.94125·8 | 117 | 10.05874 | 10.31261 | 9.74613 | 10.25387 | 52 |
9 | 9.68761·6 | 377 | 9.94118·7 | 117 | 10.05881 | 10.31238 | 9.74643 | 10.25357 | 51 |
10 | 9.68784·3 | 377 | 9.94111·7 | 117 | 10.05888 | 10.31216 | 9.74673 | 10.25327 | 50 |
11 | 9.68806·9 | 377 | 9.94104·6 | 118 | 10.05895 | 10.31193 | 9.74702 | 10.25298 | 49 |
12 | 9.68829·5 | 377 | 9.94097·5 | 118 | 10.05902 | 10.31171 | 9.74732 | 10.25268 | 48 |
13 | 9.68852·1 | 376 | 9.94090·5 | 118 | 10.05910 | 10.31148 | 9.74762 | 10.25238 | 47 |
14 | 9.68874·7 | 376 | 9.94083·4 | 118 | 10.05917 | 10.31125 | 9.74791 | 10.25209 | 46 |
15 | 9.68897·2 | 376 | 9.94076·3 | 118 | 10.05924 | 10.31103 | 9.74821 | 10.25179 | 45 |
16 | 9.68919·8 | 376 | 9.94069·3 | 118 | 10.05931 | 10.31080 | 9.74851 | 10.25149 | 44 |
17 | 9.68942·3 | 375 | 9.94062·2 | 118 | 10.05938 | 10.31058 | 9.74880 | 10.25120 | 43 |
18 | 9.68964·8 | 375 | 9.94055·1 | 118 | 10.05945 | 10.31035 | 9.74910 | 10.25090 | 42 |
19 | 9.68987·3 | 375 | 9.94048·0 | 118 | 10.05952 | 10.31013 | 9.74939 | 10.25061 | 41 |
20 | 9.69009·8 | 375 | 9.94040·9 | 118 | 10.05959 | 10.30990 | 9.74969 | 10.25031 | 40 |
21 | 9.69032·3 | 374 | 9.94033·8 | 118 | 10.05966 | 10.30968 | 9.74998 | 10.25002 | 39 |
22 | 9.69054·8 | 374 | 9.94026·7 | 118 | 10.05973 | 10.30945 | 9.75028 | 10.24972 | 38 |
23 | 9.69077·2 | 374 | 9.94019·6 | 118 | 10.05980 | 10.30923 | 9.75058 | 10.24942 | 37 |
24 | 9.69099·6 | 374 | 9.94012·5 | 119 | 10.05988 | 10.30900 | 9.75087 | 10.24913 | 36 |
25 | 9.69122·0 | 373 | 9.94005·4 | 119 | 10.05995 | 10.30878 | 9.75117 | 10.24883 | 35 |
26 | 9.69144·4 | 373 | 9.93998·2 | 119 | 10.06002 | 10.30856 | 9.75146 | 10.24854 | 34 |
27 | 9.69166·8 | 373 | 9.93991·1 | 119 | 10.06009 | 10.30833 | 9.75176 | 10.24824 | 33 |
28 | 9.69189·2 | 373 | 9.93984·0 | 119 | 10.06016 | 10.30811 | 9.75205 | 10.24795 | 32 |
29 | 9.69211·5 | 372 | 9.93976·8 | 119 | 10.06023 | 10.30788 | 9.75235 | 10.24765 | 31 |
30 | 9.69233·9 | 372 | 9.93969·7 | 119 | 10.06030 | 10.30766 | 9.75264 | 10.24736 | 30 |
31 | 9.69256·2 | 372 | 9.93962·5 | 119 | 10.06037 | 10.30744 | 9.75294 | 10.24706 | 29 |
32 | 9.69278·5 | 371 | 9.93955·4 | 119 | 10.06045 | 10.30721 | 9.75323 | 10.24677 | 28 |
33 | 9.69300·8 | 371 | 9.93948·2 | 119 | 10.06052 | 10.30699 | 9.75353 | 10.24647 | 27 |
34 | 9.69323·1 | 371 | 9.93941·0 | 119 | 10.06059 | 10.30677 | 9.75382 | 10.24618 | 26 |
35 | 9.69345·3 | 371 | 9.93933·9 | 119 | 10.06066 | 10.30655 | 9.75411 | 10.24589 | 25 |
36 | 9.69367·6 | 370 | 9.93926·7 | 120 | 10.06073 | 10.30632 | 9.75441 | 10.24559 | 24 |
37 | 9.69389·8 | 370 | 9.93919·5 | 120 | 10.06080 | 10.30610 | 9.75470 | 10.24530 | 23 |
38 | 9.69412·0 | 370 | 9.93912·3 | 120 | 10.06088 | 10.30588 | 9.75500 | 10.24500 | 22 |
39 | 9.69434·2 | 370 | 9.93905·2 | 120 | 10.06095 | 10.30566 | 9.75529 | 10.24471 | 21 |
40 | 9.69456·4 | 369 | 9.93898·0 | 120 | 10.06102 | 10.30544 | 9.75558 | 10.24442 | 20 |
41 | 9.69478·6 | 369 | 9.93890·8 | 120 | 10.06109 | 10.30521 | 9.75588 | 10.24412 | 19 |
42 | 9.69500·7 | 369 | 9.93883·6 | 120 | 10.06116 | 10.30499 | 9.75617 | 10.24383 | 18 |
43 | 9.69522·9 | 369 | 9.93876·3 | 120 | 10.06124 | 10.30477 | 9.75647 | 10.24353 | 17 |
44 | 9.69545·0 | 368 | 9.93869·1 | 120 | 10.06131 | 10.30455 | 9.75676 | 10.24324 | 16 |
45 | 9.69567·1 | 368 | 9.93861·9 | 120 | 10.06138 | 10.30433 | 9.75705 | 10.24295 | 15 |
46 | 9.69589·2 | 368 | 9.93854·7 | 120 | 10.06145 | 10.30411 | 9.75735 | 10.24265 | 14 |
47 | 9.69611·3 | 368 | 9.93847·5 | 120 | 10.06153 | 10.30389 | 9.75764 | 10.24236 | 13 |
48 | 9.69633·4 | 367 | 9.93840·2 | 121 | 10.06160 | 10.30367 | 9.75793 | 10.24207 | 12 |
49 | 9.69655·4 | 367 | 9.93833·0 | 121 | 10.06167 | 10.30345 | 9.75822 | 10.24178 | 11 |
50 | 9.69677·5 | 367 | 9.93825·8 | 121 | 10.06174 | 10.30323 | 9.75852 | 10.24148 | 10 |
51 | 9.69699·5 | 367 | 9.93818·5 | 121 | 10.06181 | 10.30301 | 9.75881 | 10.24119 | 9 |
52 | 9.69721·5 | 366 | 9.93811·3 | 121 | 10.06189 | 10.30279 | 9.75910 | 10.24090 | 8 |
53 | 9.69743·5 | 366 | 9.93804·0 | 121 | 10.06196 | 10.30257 | 9.75939 | 10.24061 | 7 |
54 | 9.69765·4 | 366 | 9.93796·7 | 121 | 10.06203 | 10.30235 | 9.75969 | 10.24031 | 6 |
55 | 9.69787·4 | 366 | 9.93789·5 | 121 | 10.06211 | 10.30213 | 9.75998 | 10.24002 | 5 |
56 | 9.69809·4 | 365 | 9.93782·2 | 121 | 10.06218 | 10.30191 | 9.76027 | 10.23973 | 4 |
57 | 9.69831·3 | 365 | 9.93774·9 | 121 | 10.06225 | 10.30169 | 9.76056 | 10.23944 | 3 |
58 | 9.69853·2 | 365 | 9.93767·6 | 121 | 10.06232 | 10.30147 | 9.76086 | 10.23914 | 2 |
59 | 9.69875·1 | 365 | 9.93760·4 | 121 | 10.06240 | 10.30125 | 9.76115 | 10.23885 | 1 |
60 | 9.69897·0 | 9.93753·1 | 10.06247 | 10.30103 | 9.76144 | 10.23856 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
60 Degrees. |
S
[page] 138
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
30 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.69897·1 | 364 | 9.93753·1 | 121 | 10.06247 | 10.30103 | 9.76144 | 10.23856 | 60 |
1 | 9.69918·9 | 364 | 9.93745·8 | 122 | 10.06254 | 10.30081 | 9.76173 | 10.23827 | 59 |
2 | 9.69940·7 | 364 | 9.93738·5 | 122 | 10.06262 | 10.30059 | 9.76202 | 10.23798 | 58 |
3 | 9.69962·6 | 364 | 9.93731·2 | 122 | 10.06269 | 10.30037 | 9.76231 | 10.23769 | 57 |
4 | 9.69984·4 | 363 | 9.93723·8 | 122 | 10.06276 | 10.30016 | 9.76261 | 10.23739 | 56 |
5 | 9.70006·2 | 363 | 9.93716·5 | 122 | 10.06283 | 10.29994 | 9.76290 | 10.23710 | 55 |
6 | 9.70028·0 | 363 | 9.93709·2 | 122 | 10.06291 | 10.29972 | 9.76319 | 10.23681 | 54 |
7 | 9.70049·8 | 363 | 9.93701·9 | 122 | 10.06298 | 10.29950 | 9.76348 | 10.23652 | 53 |
8 | 9.70071·6 | 363 | 9.93694·6 | 122 | 10.06305 | 10.29928 | 9.76377 | 10.23623 | 52 |
9 | 9.70093·3 | 363 | 9.93687·2 | 122 | 10.06313 | 10.29907 | 9.76406 | 10.23594 | 51 |
10 | 9.70115·1 | 362 | 9.93679·9 | 122 | 10.06320 | 10.29885 | 9.76435 | 10.23565 | 50 |
11 | 9.70136·8 | 362 | 9.93672·5 | 122 | 10.06327 | 10.29863 | 9.76464 | 10.23536 | 49 |
12 | 9.70158·5 | 362 | 9.93665·2 | 123 | 10.06335 | 10.29841 | 9.76493 | 10.23507 | 48 |
13 | 9.70180·2 | 361 | 9.93657·8 | 123 | 10.06342 | 10.29820 | 9.76522 | 10.23478 | 47 |
14 | 9.70201·9 | 361 | 9.93650·5 | 123 | 10.06350 | 10.29798 | 9.76551 | 10.23449 | 46 |
15 | 9.70223·6 | 361 | 9.93643·1 | 123 | 10.06357 | 10.29776 | 9.76580 | 10.23420 | 45 |
16 | 9.70245·2 | 361 | 9.93635·7 | 123 | 10.06364 | 10.29755 | 9.76609 | 10.23391 | 44 |
17 | 9.70266·9 | 360 | 9.93628·4 | 123 | 10.06372 | 10.29733 | 9.76639 | 10.23361 | 43 |
18 | 9.70288·5 | 360 | 9.93621·0 | 123 | 10.06379 | 10.29712 | 9.76668 | 10.23332 | 42 |
19 | 9.70310·1 | 360 | 9.93613·6 | 123 | 10.06386 | 10.29690 | 9.76697 | 10.23303 | 41 |
20 | 9.70331·7 | 360 | 9.93606·2 | 123 | 10.06394 | 10.29668 | 9.76725 | 10.23275 | 40 |
21 | 9.70353·3 | 359 | 9.93598·8 | 123 | 10.06401 | 10.29647 | 9.76754 | 10.23246 | 39 |
22 | 9.70374·9 | 359 | 9.93591·4 | 123 | 10.06409 | 10.29625 | 9.76783 | 10.23217 | 38 |
23 | 9.70396·4 | 359 | 9.93584·0 | 123 | 10.06416 | 10.29604 | 9.76812 | 10.23188 | 37 |
24 | 9.70417·9 | 359 | 9.93576·6 | 124 | 10.06423 | 10.29582 | 9.76841 | 10.23159 | 36 |
25 | 9.70439·5 | 359 | 9.93569·2 | 124 | 10.06431 | 10.29561 | 9.76870 | 10.23130 | 35 |
26 | 9.70461·0 | 358 | 9.93561·8 | 124 | 10.06438 | 10.29539 | 9.76899 | 10.23101 | 34 |
27 | 9.70482·5 | 358 | 9.93554·3 | 124 | 10.06446 | 10.29518 | 9.76928 | 10.23078 | 33 |
28 | 9.70504·0 | 358 | 9.93546·9 | 124 | 10.06453 | 10.29496 | 9.76957 | 10.23043 | 32 |
29 | 9.70525·4 | 358 | 9.93539·5 | 124 | 10.06461 | 10.29475 | 9.76986 | 10.23014 | 31 |
30 | 9.70546·0 | 357 | 9.93532·0 | 124 | 10.06468 | 10.29453 | 9.77015 | 10.22985 | 30 |
31 | 9.70568·3 | 357 | 9.93524·6 | 124 | 10.06475 | 10.29432 | 9.77044 | 10.22956 | 29 |
32 | 9.70589·8 | 357 | 9.93517·1 | 124 | 10.06485 | 10.29410 | 9.77073 | 10.22987 | 28 |
33 | 9.70611·2 | 357 | 9.93509·7 | 124 | 10.06490 | 10.29389 | 9.77101 | 10.22899 | 27 |
34 | 9.70632·6 | 356 | 9.93502·2 | 124 | 10.06498 | 10.29367 | 9.77130 | 10.22870 | 26 |
35 | 9.70653·9 | 356 | 9.93494·8 | 124 | 10.06505 | 10.39346 | 9.77159 | 10.22841 | 25 |
36 | 9.70675·3 | 356 | 9.93487·3 | 124 | 10.06513 | 10.29325 | 9.77188 | 10.22812 | 24 |
37 | 9.70696·7 | 356 | 9.93479·8 | 125 | 10.06520 | 10.29303 | 9.77217 | 10.22783 | 23 |
38 | 9.70718·0 | 355 | 9.93472·3 | 125 | 10.06528 | 10.29282 | 9.77246 | 10.22754 | 22 |
39 | 9.70739·3 | 355 | 9.93464·9 | 125 | 10.06535 | 10.29261 | 9.77274 | 10.22726 | 21 |
40 | 9.70760·6 | 355 | 9.93457·4 | 125 | 10.06543 | 10.29239 | 9.77303 | 10.22697 | 20 |
41 | 9.70781·9 | 355 | 9.93449·9 | 125 | 10.06550 | 10.29218 | 9.77332 | 10.22668 | 19 |
42 | 9.70803·2 | 354 | 9.93442·4 | 125 | 10.06558 | 10.29197 | 9.77361 | 10.22639 | 18 |
43 | 9.70824·5 | 354 | 9.93434·9 | 125 | 10.06565 | 10.29176 | 9.77390 | 10.22610 | 17 |
44 | 9.70845·8 | 354 | 9.93427·4 | 125 | 10.06573 | 10.29154 | 9.77418 | 10.22582 | 16 |
45 | 9.70867·0 | 354 | 9.93419·9 | 125 | 10.06580 | 10.29133 | 9.77447 | 10.22553 | 15 |
46 | 9.70888·2 | 353 | 9.93412·3 | 125 | 10.06588 | 10.29112 | 9.77476 | 10.22524 | 14 |
47 | 9.70909·4 | 353 | 9.93404·8 | 125 | 10.06595 | 10.29091 | 9.77505 | 10.22495 | 13 |
48 | 9.70930·6 | 353 | 9.93397·3 | 125 | 10.06603 | 10.29069 | 9.77533 | 10.22467 | 12 |
49 | 9.70951·8 | 353 | 9.93389·8 | 126 | 10.06610 | 10.29048 | 9.77562 | 10.22438 | 11 |
50 | 9.70973·0 | 353 | 9.93382·2 | 126 | 10.06618 | 10.29027 | 9.77591 | 10.22409 | 10 |
51 | 9.70994·1 | 352 | 9.93374·7 | 126 | 10.06625 | 10.29006 | 9.77619 | 10.22381 | 9 |
52 | 9.71015·3 | 352 | 9.93367·1 | 226 | 10.06633 | 10.28985 | 9.77648 | 10.22354 | 8 |
53 | 9.71036·4 | 352 | 9.93359·6 | 126 | 10.06640 | 10.28964 | 9.77617 | 10.22323 | 7 |
54 | 9.71057·5 | 351 | 9.93352·0 | 126 | 10.06648 | 10.28942 | 9.77706 | 10.22294 | 6 |
55 | 9.71078·6 | 351 | 9.93344·5 | 126 | 10.06656 | 10.28921 | 9.77734 | 10.22266 | 5 |
56 | 9.71099·7 | 351 | 9.93336·9 | 126 | 10.06663 | 10.28900 | 9.77763 | 10.22237 | 4 |
57 | 9.71120·8 | 351 | 9.93329·3 | 126 | 10.06671 | 10.28879 | 9.77791 | 10.22209 | 3 |
58 | 9.71141·9 | 351 | 9.93321·7 | 126 | 10.06678 | 10.28858 | 9.77820 | 10.22180 | 2 |
59 | 9.71162·9 | 350 | 9.93314·1 | 126 | 10.06686 | 10.28837 | 9.77849 | 10.22151 | 1 |
60 | 9.71183·9 | 9.93306·6 | 10.06693 | 10.28816 | 9.77877 | 10.22123 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
59 Degrees. |
[page] 139
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
31 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.71183·9 | 350 | 9.93306·6 | 126 | 10.06693 | 10.28816 | 9.77877 | 10.22123 | 60 |
1 | 9.71205·0 | 350 | 9.93299·0 | 127 | 10.06701 | 10.28795 | 9.77906 | 10.22094 | 59 |
2 | 9.71226·0 | 350 | 9.93291·4 | 127 | 10.06709 | 10.28774 | 9.77935 | 10.22065 | 58 |
3 | 9.71246·9 | 349 | 9.93283·8 | 127 | 10.06716 | 10.28753 | 9.77963 | 10.22037 | 57 |
4 | 9.71267·9 | 349 | 9.93276·2 | 127 | 10.06724 | 10.28732 | 9.77992 | 10.22008 | 56 |
5 | 9.71288·9 | 349 | 9.93268·5 | 127 | 10.06731 | 10.28711 | 9.78020 | 10.21980 | 55 |
6 | 9.71309·8 | 349 | 9.93260·9 | 127 | 10.06739 | 10.28690 | 9.78049 | 10.21951 | 54 |
7 | 9.71330·8 | 349 | 9.93253·3 | 127 | 10.06747 | 10.28669 | 9.78077 | 10.21923 | 53 |
8 | 9.71351·7 | 348 | 9.93245·7 | 127 | 10.06754 | 10.28648 | 9.78106 | 10.21894 | 52 |
9 | 9.71372·6 | 348 | 9.93238·0 | 127 | 10.06762 | 10.28627 | 9.78135 | 10.21865 | 51 |
10 | 9.71393·5 | 348 | 9.93230·4 | 127 | 10.06770 | 10.28607 | 9.78163 | 10.21837 | 50 |
11 | 9.71414·4 | 348 | 9.93222·8 | 127 | 10.06777 | 10.28586 | 9.78192 | 10.21808 | 49 |
12 | 9.71435·2 | 347 | 9.93215·1 | 127 | 10.06785 | 10.28565 | 9.78220 | 10.21780 | 48 |
13 | 9.71456·1 | 347 | 9.93207·5 | 128 | 10.06793 | 10.28544 | 9.78249 | 10.21751 | 47 |
14 | 9.71476·9 | 347 | 9.93199·8 | 128 | 10.06800 | 10.28523 | 9.78277 | 10.21723 | 46 |
15 | 9.71497·8 | 347 | 9.93192·1 | 128 | 10.06808 | 10.28502 | 9.78306 | 10.21694 | 45 |
16 | 9.71518·6 | 347 | 9.93184·5 | 128 | 10.06816 | 10.28481 | 9.78334 | 10.21666 | 44 |
17 | 9.71539·4 | 346 | 9.93176·8 | 128 | 10.06823 | 10.28461 | 9.78363 | 10.21637 | 43 |
18 | 9.71560·1 | 346 | 9.93169·1 | 128 | 10.06831 | 10.28440 | 9.78391 | 10.21609 | 42 |
19 | 9.71580·9 | 346 | 9.93161·4 | 128 | 10.06839 | 10.28419 | 9.78419 | 10.21581 | 41 |
20 | 9.71601·7 | 346 | 9.93153·7 | 128 | 10.06846 | 10.28398 | 9.78448 | 10.21552 | 40 |
21 | 9.71632·4 | 345 | 9.93146·0 | 128 | 10.06854 | 10.28378 | 9.78476 | 10.21524 | 39 |
22 | 9.71643·2 | 345 | 9.93138·3 | 128 | 10.06862 | 10.28357 | 9.78505 | 10.21495 | 38 |
23 | 9.71663·9 | 345 | 9.93130·6 | 128 | 10.06869 | 10.28336 | 9.78533 | 10.21467 | 37 |
24 | 9.71684·6 | 345 | 9.93122·9 | 129 | 10.06877 | 10.28315 | 9.78562 | 10.21438 | 36 |
25 | 9.71705·3 | 345 | 9.93115·2 | 129 | 10.06885 | 10.28295 | 9.78590 | 10.21410 | 35 |
26 | 9.71725·3 | 344 | 9.93107·5 | 129 | 10.06892 | 10.28274 | 9.78618 | 10.21382 | 34 |
27 | 9.71746·6 | 344 | 9.93099·8 | 129 | 10.06900 | 10.28253 | 9.78647 | 10.21353 | 33 |
28 | 9.71767·3 | 344 | 9.93092·1 | 129 | 10.06908 | 10.28233 | 9.78675 | 10.21325 | 32 |
29 | 9.71787·9 | 344 | 9.93084·3 | 129 | 10.06916 | 10.28212 | 9.78704 | 10.21296 | 31 |
30 | 9.71808·5 | 343 | 9.93076·6 | 129 | 10.06923 | 10.28191 | 9.78732 | 10.21268 | 30 |
31 | 9.71829·1 | 343 | 9.93068·8 | 129 | 10.06931 | 10.28171 | 9.78760 | 10.21240 | 29 |
32 | 9.71849·7 | 343 | 9.93061·1 | 129 | 10.06939 | 10.28150 | 9.78789 | 10.21211 | 28 |
33 | 9.71870·3 | 343 | 9.93053·3 | 129 | 10.06947 | 10.28130 | 9.78817 | 10.21183 | 27 |
34 | 9.71890·9 | 343 | 9.93045·6 | 129 | 10.06954 | 10.28109 | 9.78845 | 10.21155 | 26 |
35 | 9.71911·4 | 342 | 9.93037·8 | 129 | 10.06962 | 10.28089 | 9.78874 | 10.21126 | 25 |
36 | 9.71932·0 | 342 | 9.93030·0 | 130 | 10.06970 | 10.28068 | 9.78902 | 10.21098 | 24 |
37 | 9.71953·5 | 342 | 9.93022·3 | 130 | 10.06978 | 10.28048 | 9.78930 | 10.21070 | 23 |
38 | 9.71973·0 | 342 | 9.93014·5 | 130 | 10.06986 | 10.28027 | 9.78959 | 10.21041 | 22 |
39 | 9.71993·5 | 341 | 9.93006·7 | 130 | 10.06993 | 10.28006 | 9.78987 | 10.21013 | 21 |
40 | 9.72014·0 | 341 | 9.92998·9 | 130 | 10.07001 | 10.27986 | 9.79015 | 10.20985 | 20 |
41 | 9.73034·5 | 341 | 9.92991·1 | 130 | 10.07009 | 10.27966 | 9.79043 | 10.20957 | 19 |
42 | 9.72054·9 | 341 | 9.92983·3 | 130 | 10.07017 | 10.27945 | 9.79072 | 10.20928 | 18 |
43 | 9.72075·4 | 340 | 9.92975·5 | 130 | 10.07024 | 10.27925 | 9.79100 | 10.20900 | 17 |
44 | 9.72095·8 | 340 | 9.92967·7 | 130 | 10.07032 | 10.27904 | 9.79128 | 10.20872 | 16 |
45 | 9.72116·2 | 340 | 9.92959·9 | 130 | 10.07040 | 10.27884 | 9.79156 | 10.20844 | 15 |
46 | 9.72136·6 | 340 | 9.92952·1 | 130 | 10.07048 | 10.27863 | 9.79185 | 10.20815 | 14 |
47 | 9.72157·0 | 340 | 9.92944·2 | 130 | 10.07056 | 10.27843 | 9.79213 | 10.20787 | 13 |
48 | 9.73177·4 | 339 | 9.92936·4 | 131 | 10.07064 | 10.27823 | 9.79241 | 10.20759 | 12 |
49 | 9.72197·8 | 339 | 9.92928·6 | 131 | 10.07071 | 10.27802 | 9.79269 | 10.20731 | 11 |
50 | 9.72218·1 | 339 | 9.92920·7 | 131 | 10.07079 | 10.27782 | 9.79297 | 10.20703 | 10 |
51 | 9.72238·5 | 339 | 9.92912·9 | 131 | 10.07087 | 10.27762 | 9.79326 | 10.20674 | 9 |
52 | 9.72258·8 | 339 | 9.92905·0 | 131 | 10.07095 | 10.27741 | 9.79354 | 10.20646 | 8 |
53 | 9.72279·1 | 338 | 9.92897·2 | 131 | 10.07103 | 10.27721 | 9.79382 | 10.20618 | 7 |
54 | 9.72299·4 | 338 | 9.92889·3 | 131 | 10.07111 | 10.27701 | 9.79410 | 10.20590 | 6 |
55 | 9.72319·7 | 338 | 9.92881·5 | 131 | 10.07119 | 10.27680 | 9.79438 | 10.20662 | 5 |
56 | 9.72340·0 | 338 | 9.92873·6 | 131 | 10.07126 | 10.27660 | 9.79466 | 10.20534 | 4 |
57 | 9.72360·3 | 337 | 9.92865·7 | 131 | 10.07134 | 10.27640 | 9.79495 | 10.20505 | 3 |
58 | 9.72380·5 | 337 | 9.92857·8 | 131 | 10.07142 | 10.27619 | 9.79523 | 10.20477 | 2 |
59 | 9.72400·7 | 337 | 9.92849·9 | 131 | 10.07150 | 10.27599 | 9.79551 | 10.20449 | 1 |
60 | 9.72421·0 | 9.92842·0 | 10.07158 | 10.27579 | 9.79579 | 10.20421 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
58 Degrees. |
S 2
[page] 140
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
32 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.72421·0 | 337 | 9.92842·0 | 132 | 10.07158 | 10.27579 | 9.79579 | 10.20421 | 60 |
1 | 9.72441·2 | 337 | 9.92834·2 | 132 | 10.07166 | 10.27559 | 9.79607 | 10.20393 | 59 |
2 | 9.72461·4 | 336 | 9.92826·3 | 132 | 10.07174 | 10.27539 | 9.79635 | 10.20365 | 58 |
3 | 9.72481·6 | 336 | 9.92818·3 | 132 | 10.07182 | 10.27518 | 9.79663 | 10.20337 | 57 |
4 | 9.72501·7 | 336 | 9.92810·4 | 132 | 10.07190 | 10.27498 | 9.79691 | 10.29309 | 56 |
5 | 9.72521·9 | 336 | 9.92802·5 | 132 | 10.07197 | 10.27478 | 9.79719 | 10.20281 | 55 |
6 | 9.72542·0 | 335 | 9.92794·6 | 132 | 10.07205 | 10.27458 | 9.79747 | 10.20253 | 54 |
7 | 9.72562·2 | 335 | 9.92786·7 | 132 | 10.07213 | 10.27438 | 9.79776 | 10.20224 | 53 |
8 | 9.72582·3 | 335 | 9.92778·7 | 132 | 10.07221 | 10.27418 | 9.79804 | 10.20196 | 52 |
9 | 9.72602·4 | 335 | 9.92770·8 | 132 | 10.07229 | 10.27398 | 9.79832 | 10.20168 | 51 |
10 | 9.72622·5 | 335 | 9.92762·9 | 132 | 10.07237 | 10.27378 | 9.79860 | 10.20140 | 50 |
11 | 9.72642·6 | 334 | 9.92754·9 | 132 | 10.07245 | 10.27357 | 9.79888 | 10.20112 | 49 |
12 | 9.72662·6 | 334 | 9.92747·0 | 133 | 10.07253 | 10.27337 | 9.79916 | 10.20084 | 48 |
13 | 9.72682·7 | 334 | 9.92739·0 | 133 | 10.07261 | 10.27317 | 9.79944 | 10.20056 | 47 |
14 | 9.72702·7 | 334 | 9.92731·0 | 133 | 10.07269 | 10.27297 | 9.79972 | 10.20028 | 46 |
15 | 9.72722·8 | 334 | 9.92723·1 | 133 | 10.07277 | 10.27277 | 9.80000 | 10.20000 | 45 |
16 | 9.72742·8 | 333 | 9.92715·1 | 133 | 10.07285 | 10.27257 | 9.80028 | 10.19972 | 44 |
17 | 9.72762·8 | 333 | 9.92707·1 | 133 | 10.07293 | 10.27237 | 9.80056 | 10.19944 | 43 |
18 | 9.72782·8 | 333 | 9.92699·1 | 133 | 10.07301 | 10.27217 | 9.80084 | 10.19916 | 42 |
19 | 9.72802·7 | 333 | 9.92691·1 | 133 | 10.07309 | 10.27197 | 9.80112 | 10.19888 | 41 |
20 | 9.72822·7 | 333 | 9.92683·1 | 133 | 10.07317 | 10.27177 | 9.80140 | 10.19860 | 40 |
21 | 9.72842·7 | 332 | 9.92675·1 | 133 | 10.07325 | 10.27157 | 9.80168 | 10.19832 | 39 |
22 | 9.72862·6 | 332 | 9.92667·1 | 133 | 10.07333 | 10.27137 | 9.80195 | 10.19805 | 38 |
23 | 9.72882·5 | 332 | 9.92659·1 | 133 | 10.07341 | 10.27117 | 9.80223 | 10.19777 | 37 |
24 | 9.72902·4 | 332 | 9.92651·1 | 134 | 10.07349 | 10.27098 | 9.80251 | 10.19749 | 36 |
25 | 9.72922·3 | 331 | 9.92643·1 | 134 | 10.07357 | 10.27078 | 9.80279 | 10.19632 | 35 |
26 | 9.72942·2 | 331 | 9.92635·1 | 134 | 10.07365 | 10.27058 | 9.80307 | 10.19609 | 34 |
27 | 9.72962·1 | 331 | 9.92627·0 | 134 | 10.07373 | 10.27038 | 9.80335 | 10.19553 | 33 |
28 | 9.72982·0 | 331 | 9.92619·0 | 134 | 10.07381 | 10.27018 | 9.80363 | 10.19526 | 32 |
29 | 9.73001·8 | 330 | 9.92611·0 | 134 | 10.07389 | 10.26998 | 9.80391 | 10.19498 | 31 |
30 | 9.73021·7 | 330 | 9.92602·9 | 134 | 10.07397 | 10.26978 | 9.80419 | 10.19470 | 30 |
31 | 9.73041·5 | 330 | 9.92594·9 | 134 | 10.07405 | 10.26959 | 9.80447 | 10.19442 | 29 |
32 | 9.73061·3 | 330 | 9.92586·8 | 134 | 10.07413 | 10.26939 | 9.80474 | 10.19414 | 28 |
33 | 9.73081·1 | 330 | 9.92578·8 | 134 | 10.07421 | 10.26919 | 9.80502 | 10.19386 | 27 |
34 | 9.73100·9 | 329 | 9.92570·7 | 134 | 10.07429 | 10.26899 | 9.80530 | 10.19358 | 26 |
35 | 9.73130·6 | 329 | 9.92562·6 | 134 | 10.67437 | 10.26879 | 9.80558 | 10.19331 | 25 |
36 | 9.73140·4 | 329 | 9.92554·5 | 135 | 10.07445 | 10.26860 | 9.80586 | 10.19303 | 24 |
37 | 9.73160·2 | 329 | 9.92546·5 | 135 | 10.07454 | 10.26840 | 9.80614 | 10.19275 | 23 |
38 | 9.73179·9 | 329 | 9.92538·4 | 135 | 10.07462 | 10.26820 | 9.80642 | 10.19247 | 22 |
39 | 9.73199·6 | 328 | 9.92530·3 | 135 | 10.07470 | 10.26800 | 9.80669 | 10.19219 | 21 |
40 | 9.73219·8 | 328 | 9.92522·2 | 135 | 10.07478 | 10.26781 | 9.80697 | 10.19192 | 20 |
41 | 9.73239·0 | 328 | 9.92514·1 | 135 | 10.07486 | 10.26761 | 9.80725 | 10.19164 | 19 |
42 | 9.73258·7 | 328 | 9.92506·0 | 135 | 10.07494 | 10.26741 | 9.80753 | 10.19136 | 18 |
43 | 9.73278·4 | 328 | 9.92497·9 | 135 | 10.07502 | 10.26722 | 9.80781 | 10.19108 | 17 |
44 | 9.73298·0 | 327 | 9.92489·7 | 135 | 10.07510 | 10.26702 | 9.80808 | 10.19081 | 16 |
45 | 9.73317·7 | 327 | 9.92481·6 | 135 | 10.07518 | 10.26682 | 9.80836 | 10.19053 | 15 |
46 | 9.73337·3 | 327 | 9.92473·5 | 136 | 10.07527 | 10.26663 | 9.80864 | 10.19025 | 14 |
47 | 9.73356·9 | 327 | 9.92465·4 | 136 | 10.07535 | 10.26643 | 9.80892 | 10.18997 | 13 |
48 | 9.73376·5 | 327 | 9.92457·2 | 136 | 10.07543 | 10.26623 | 9.80919 | 19.18970 | 12 |
49 | 9.73396·1 | 326 | 9.92449·1 | 136 | 10.07551 | 10.26604 | 9.80947 | 10.18943 | 11 |
50 | 9.73415·7 | 326 | 9.92440·9 | 136 | 10.07559 | 10.26584 | 9.80975 | 10.18914 | 10 |
51 | 9.73435·3 | 326 | 9.92432·8 | 136 | 10.07567 | 10.26565 | 9.81003 | 10.18887 | 9 |
52 | 9.73454·9 | 326 | 9.92424·6 | 136 | 10.07575 | 10.26545 | 9.81030 | 10.18859 | 8 |
53 | 9.73474·4 | 325 | 9.92416·4 | 136 | 10.07584 | 10.26526 | 9.81058 | 10.18835 | 7 |
54 | 9.73493·9 | 325 | 9.92408·3 | 136 | 10.07592 | 10.26506 | 9.81086 | 10.18804 | 6 |
55 | 9.73513·5 | 325 | 9.92400·1 | 136 | 10.07600 | 10.26487 | 9.81113 | 10.18275 | 5 |
56 | 9.73533·0 | 325 | 9.92391·9 | 136 | 10.07608 | 10.26467 | 9.81141 | 10.18859 | 4 |
57 | 9.73552·5 | 325 | 9.92383·7 | 137 | 10.07616 | 10.26448 | 9.81169 | 10.18835 | 3 |
58 | 9.73571·9 | 324 | 9.92375·5 | 137 | 10.07624 | 10.26428 | 9.81196 | 10.18804 | 2 |
59 | 9.73591·4 | 324 | 9.92367·3 | 137 | 10.07633 | 10.36409 | 9.81224 | 10.18276 | 1 |
60 | 9.73010·9 | 9.92359·1 | 10.67641 | 10.26389 | 9.81352 | 10.18247 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
57 Degrees. |
[page] 141
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
33 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.73610·9 | 324 | 9.92359·1 | 137 | 10.07641 | 10.26389 | 9.81252 | 10.18748 | 60 |
1 | 9.73630·3 | 324 | 9.92350·9 | 137 | 10.07649 | 10.26370 | 9.81279 | 10.18721 | 59 |
2 | 9.73649·8 | 324 | 9.92342·7 | 137 | 10.07657 | 10.26350 | 9.81307 | 10.18693 | 58 |
3 | 9.73669·4 | 323 | 9.92334·5 | 137 | 10.07665 | 10.26331 | 9.81335 | 10.18665 | 57 |
4 | 9.73688·6 | 323 | 9.92326·3 | 137 | 10.07674 | 10.26311 | 9.81362 | 10.18638 | 56 |
5 | 9.73708·0 | 323 | 9.92318·1 | 137 | 10.07682 | 10.26292 | 9.81390 | 10.18610 | 55 |
6 | 9.73727·4 | 323 | 9.92309·8 | 137 | 10.07690 | 10.26273 | 9.81418 | 10.18582 | 54 |
7 | 9.73746·7 | 323 | 9.92301·6 | 137 | 10.07698 | 10.26253 | 9.81445 | 10.18555 | 53 |
8 | 9.73766·1 | 322 | 9.92293·3 | 137 | 10.07707 | 10.26234 | 9.81473 | 10.18527 | 52 |
9 | 9.73785·5 | 322 | 9.92285·1 | 137 | 10.07715 | 10.26215 | 9.81500 | 10.18500 | 51 |
10 | 9.73804·8 | 322 | 9.92276·8 | 138 | 10.07723 | 10.26195 | 9.81528 | 10.18472 | 50 |
11 | 9.73824·1 | 322 | 9.92268·6 | 138 | 10.07731 | 10.26176 | 9.81556 | 10.18444 | 49 |
12 | 9.73843·4 | 322 | 9.92260·3 | 138 | 10.07740 | 10.26157 | 9.81583 | 10.18417 | 48 |
13 | 9.73862·7 | 321 | 9.92252·0 | 138 | 10.07748 | 10.26137 | 9.81611 | 10.18389 | 47 |
14 | 9.73882·0 | 321 | 9.92243·8 | 138 | 10.07756 | 10.26118 | 9.81638 | 10.18362 | 46 |
15 | 9.73901·3 | 321 | 9.92235·5 | 138 | 10.07765 | 10.26099 | 9.81666 | 10.18334 | 45 |
16 | 9.73920·6 | 321 | 9.92227·2 | 138 | 10.07773 | 10.26079 | 9.81693 | 10.18307 | 44 |
17 | 9.73939·8 | 321 | 9.92218·9 | 138 | 10.07781 | 10.26060 | 9.81721 | 10.18279 | 43 |
18 | 9.73959·0 | 320 | 9.92210·6 | 138 | 10.07789 | 10.26041 | 9.81748 | 10.18252 | 42 |
19 | 9.73978·3 | 320 | 9.92202·3 | 138 | 10.07798 | 10.26022 | 9.81776 | 10.18224 | 41 |
20 | 9.73997·5 | 320 | 9.92194·0 | 138 | 10.07806 | 10.26003 | 9.81803 | 10.18197 | 40 |
21 | 9.74016·7 | 320 | 9.92185·7 | 139 | 10.07814 | 10.25983 | 9.81831 | 10.18169 | 39 |
22 | 9.74035·9 | 320 | 9.92177·4 | 139 | 10.07823 | 10.25964 | 9.81858 | 10.18142 | 38 |
23 | 9.74055·0 | 319 | 9.92169·1 | 139 | 10.07831 | 10.25945 | 9.81886 | 10.18114 | 37 |
24 | 9.74074·2 | 319 | 9.92160·7 | 139 | 10.07839 | 10.25926 | 9.81913 | 10.18087 | 36 |
25 | 9.74093·4 | 319 | 9.92152·4 | 139 | 10.07848 | 10.25907 | 9.81941 | 10.18059 | 35 |
26 | 9.74112·5 | 319 | 9.92144·1 | 139 | 10.07856 | 10.25887 | 9.81968 | 10.18032 | 34 |
27 | 9.74131·6 | 319 | 9.92135·7 | 139 | 10.07864 | 10.25868 | 9.81996 | 10.18004 | 33 |
28 | 9.74150·8 | 318 | 9.92127·4 | 139 | 10.07873 | 10.25849 | 9.82023 | 10.17977 | 32 |
29 | 9.74169·9 | 318 | 9.92119·0 | 139 | 10.07881 | 10.25830 | 9.82051 | 10.17949 | 31 |
30 | 9.74188·9 | 318 | 9.92110·7 | 139 | 10.07889 | 10.25811 | 9.82078 | 10.17922 | 30 |
31 | 9.74208·0 | 318 | 9.92102·3 | 139 | 10.07898 | 10.25792 | 9.82106 | 10.17894 | 29 |
32 | 9.74227·1 | 318 | 9.92093·9 | 139 | 10.07906 | 10.25773 | 9.82133 | 10.17867 | 28 |
33 | 9.74246·2 | 317 | 9.92085·6 | 140 | 10.07914 | 10.25754 | 9.82161 | 10.17839 | 27 |
34 | 9.74265·2 | 317 | 9.92077·2 | 140 | 10.07923 | 10.25735 | 9.82188 | 10.17812 | 26 |
35 | 9.74284·2 | 317 | 9.92068·8 | 140 | 10.07931 | 10.25716 | 9.82215 | 10.17785 | 25 |
36 | 9.74303·3 | 317 | 9.92060·4 | 140 | 10.07940 | 10.25697 | 9.82243 | 10.17757 | 24 |
37 | 9.74322·3 | 317 | 9.92052·0 | 140 | 10.07948 | 10.25678 | 9.82270 | 10.17730 | 23 |
38 | 9.74341·3 | 316 | 9.92043·6 | 140 | 10.07956 | 10.25659 | 9.82298 | 10.17702 | 22 |
39 | 9.74360·2 | 316 | 9.92035·2 | 140 | 10.07965 | 10.25640 | 9.82325 | 10.17675 | 21 |
40 | 9.74379·2 | 316 | 9.92026·8 | 140 | 10.07973 | 10.25621 | 9.82352 | 10.17648 | 20 |
41 | 9.74398·2 | 316 | 9.92018·4 | 140 | 10.07982 | 10.25602 | 9.82380 | 10.17620 | 19 |
42 | 9.74417·1 | 316 | 9.92009·9 | 140 | 10.07990 | 10.25583 | 9.82407 | 10.17593 | 18 |
43 | 9.74436·1 | 315 | 9.92001·5 | 140 | 10.07998 | 10.25564 | 9.82435 | 10.17565 | 17 |
44 | 9.74455·0 | 315 | 9.91993·1 | 141 | 10.08007 | 10.25545 | 9.82462 | 10.17538 | 16 |
45 | 9.74473·9 | 315 | 9.91984·6 | 141 | 10.08015 | 10.25526 | 9.82489 | 10.17511 | 15 |
46 | 9.74492·8 | 315 | 9.91976·2 | 141 | 10.08024 | 10.25507 | 9.82517 | 10.17483 | 14 |
47 | 9.74511·7 | 315 | 9.91967·7 | 141 | 10.08032 | 10.25488 | 9.82544 | 10.17456 | 13 |
48 | 9.74530·6 | 314 | 9.91959·3 | 141 | 10.08041 | 10.25469 | 9.82571 | 10.17429 | 12 |
49 | 9.74549·4 | 314 | 9.91950·8 | 141 | 10.08049 | 10.25451 | 9.82599 | 10.17401 | 11 |
50 | 9.74568·3 | 314 | 9.91942·4 | 141 | 10.08058 | 10.25432 | 9.82626 | 10.17374 | 10 |
51 | 9.74587·1 | 314 | 9.91933·9 | 141 | 10.08066 | 10.25413 | 9.82653 | 10.17347 | 9 |
52 | 9.74606·0 | 314 | 9.91925·4 | 141 | 10.08075 | 10.25394 | 9.82681 | 10.17319 | 8 |
53 | 9.74624·8 | 313 | 9.91916·9 | 141 | 10.08083 | 10.25375 | 9.82708 | 10.17292 | 7 |
54 | 9.74642·6 | 313 | 9.91908·5 | 141 | 10.08092 | 10.25356 | 9.82735 | 10.17265 | 6 |
55 | 9.74662·4 | 313 | 9.91900·0 | 142 | 10.08100 | 10.25338 | 9.82762 | 10.17238 | 5 |
56 | 9.74681·2 | 313 | 9.91891·5 | 142 | 10.08109 | 10.25319 | 9.82790 | 10.17210 | 4 |
57 | 9.74699·9 | 313 | 9.91883·0 | 142 | 10.08117 | 10.25300 | 9.82817 | 10.17183 | 3 |
58 | 9.74718·7 | 312 | 9.91874·5 | 142 | 10.08126 | 10.25281 | 9.82844 | 10.17156 | 2 |
59 | 9.74737·4 | 312 | 9.91865·9 | 142 | 10.08134 | 10.25263 | 9.82871 | 10.17129 | 1 |
60 | 9.74756·2 | 9.91857·4 | 10.08143 | 10.25244 | 9.82899 | 10.17101 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
56 Degrees. |
[page] 142
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
34 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.74756·2 | 312 | 9.91857·4 | 142 | 10.08143 | 10.25244 | 9.82899 | 10.17101 | 60 |
1 | 9.74774·9 | 312 | 9.91848·9 | 142 | 10.08151 | 10.25225 | 9.82926 | 10.17074 | 59 |
2 | 9.74793·6 | 312 | 9.91840·4 | 142 | 10.08160 | 10.25206 | 9.82953 | 10.17047 | 58 |
3 | 9.74812·3 | 311 | 9.91831·8 | 142 | 10.08168 | 10.25188 | 9.82980 | 10.17020 | 57 |
4 | 9.74831·0 | 311 | 9.91823·3 | 142 | 10.08177 | 10.25169 | 9.83008 | 10.16992 | 56 |
5 | 9.74849·7 | 311 | 9.91814·7 | 142 | 10.08185 | 10.25150 | 9.83035 | 10.16965 | 55 |
6 | 9.74868·3 | 311 | 9.91806·2 | 143 | 10.08194 | 10.25132 | 9.83062 | 10.16938 | 54 |
7 | 9.74887·0 | 311 | 9.91797·6 | 143 | 10.08202 | 10.25113 | 9.83089 | 10.16911 | 53 |
8 | 9.74905·6 | 310 | 9.91789·1 | 143 | 10.08211 | 10.25094 | 9.83117 | 10.16883 | 52 |
9 | 9.74924·3 | 310 | 9.91780·5 | 143 | 10.08219 | 10.25076 | 9.83144 | 10.16856 | 51 |
10 | 9.74942·9 | 310 | 9.91771·9 | 143 | 10.08228 | 10.25057 | 9.83171 | 10.16829 | 50 |
11 | 9.74961·5 | 310 | 9.91763·4 | 143 | 10.08237 | 10.25039 | 9.83198 | 10.16802 | 49 |
12 | 9.74980·1 | 310 | 9.91754·8 | 143 | 10.08245 | 10.25020 | 9.83228 | 10.16775 | 48 |
13 | 9.74998·7 | 309 | 9.91746·2 | 143 | 10.08254 | 10.25001 | 9.83252 | 10.16748 | 47 |
14 | 9.75017·2 | 309 | 9.91737·6 | 143 | 10.08262 | 10.24983 | 9.83280 | 10.16720 | 46 |
15 | 9.75035·8 | 309 | 9.91729·0 | 143 | 10.08271 | 10.24964 | 9.83307 | 10.16693 | 45 |
16 | 9.75054·3 | 309 | 9.91720·4 | 143 | 10.08280 | 10.24946 | 9.83334 | 10.16666 | 44 |
17 | 9.75072·9 | 309 | 9.91711·8 | 144 | 10.08288 | 10.24927 | 9.83361 | 10.16639 | 43 |
18 | 9.75091·4 | 308 | 9.91703·2 | 144 | 10.08197 | 10.24909 | 9.83388 | 10.16612 | 42 |
19 | 9.75109·9 | 308 | 9.91694·6 | 144 | 10.08305 | 10.24890 | 9.83415 | 10.16585 | 41 |
20 | 9.75128·4 | 308 | 9.91685·9 | 144 | 10.08314 | 10.24872 | 9.83442 | 10.16558 | 40 |
21 | 9.75146·9 | 308 | 9.91677·3 | 144 | 10.08323 | 10.24853 | 9.83470 | 10.16530 | 39 |
22 | 9.75165·4 | 308 | 9.91668·7 | 144 | 10.08331 | 10.24835 | 9.83497 | 10.16503 | 38 |
23 | 9.75183·9 | 308 | 9.91660·0 | 144 | 10.08340 | 10.24816 | 9.83524 | 10.16476 | 37 |
24 | 9.75202·3 | 307 | 9.91651·4 | 144 | 10.08349 | 10.24798 | 9.83551 | 10.16449 | 36 |
25 | 9.75220·8 | 307 | 9.91642·7 | 144 | 10.08357 | 10.24779 | 9.83578 | 10.16422 | 35 |
26 | 9.75239·2 | 307 | 9.91634·1 | 144 | 10.08366 | 10.24761 | 9.83605 | 10.16395 | 34 |
27 | 9.75257·6 | 307 | 9.91625·4 | 144 | 10.08375 | 10.24742 | 9.83632 | 10.16368 | 33 |
28 | 9.75276·0 | 307 | 9.91616·7 | 145 | 10.08383 | 10.24724 | 9.83659 | 10.16341 | 32 |
29 | 9.75294·4 | 306 | 9.91698·1 | 145 | 10.08392 | 10.24706 | 9.83686 | 10.16314 | 31 |
30 | 9.75312·8 | 306 | 9.91599·4 | 145 | 10.08401 | 10.24687 | 9.83713 | 10.16287 | 30 |
31 | 9.75331·2 | 306 | 9.91590·7 | 145 | 10.08409 | 10.24669 | 9.83740 | 10.16260 | 29 |
32 | 9.75349·5 | 306 | 9.91582·0 | 145 | 10.08418 | 10.24650 | 9.83768 | 10.16232 | 28 |
33 | 9.75367·9 | 306 | 9.91573·3 | 145 | 10.08427 | 10.24632 | 9.83795 | 10.16205 | 27 |
34 | 9.75386·2 | 305 | 9.91564·6 | 145 | 10.08435 | 10.24614 | 9.83822 | 10.16178 | 26 |
35 | 9.75404·6 | 305 | 9.91555·9 | 145 | 10.08444 | 10.24595 | 9.83849 | 10.16151 | 25 |
36 | 9.75422·9 | 305 | 9.91547·2 | 145 | 10.08453 | 10.24577 | 9.83876 | 10.16124 | 24 |
37 | 9.75441·2 | 305 | 9.91538·5 | 145 | 10.08462 | 10.24559 | 9.83903 | 10.16097 | 23 |
38 | 9.75459·5 | 305 | 9.91529·7 | 145 | 10.08470 | 10.24541 | 9.83930 | 10.16070 | 22 |
39 | 9.75477·8 | 304 | 9.91521·0 | 145 | 10.08479 | 10.24522 | 9.83957 | 10.16043 | 21 |
40 | 9.75496·0 | 304 | 9.91512·3 | 146 | 10.08488 | 10.24504 | 9.83984 | 10.16016 | 20 |
41 | 9.75514·3 | 304 | 9.91503·5 | 146 | 10.08496 | 10.24486 | 9.84011 | 10.15989 | 19 |
42 | 9.75532·6 | 304 | 9.91494·8 | 146 | 10.08505 | 10.24467 | 9.84038 | 10.15962 | 18 |
43 | 9.75550·8 | 304 | 9.91486·0 | 146 | 10.08514 | 10.24449 | 9.84065 | 10.15935 | 17 |
44 | 9.75569·0 | 304 | 9.91477·3 | 146 | 10.08523 | 10.24431 | 9.84092 | 10.15908 | 16 |
45 | 9.75587·2 | 303 | 9.91468·5 | 146 | 10.08531 | 10.24413 | 9.84119 | 10.15881 | 15 |
46 | 9.75605·4 | 303 | 9.91459·8 | 146 | 10.08540 | 10.24395 | 9.84146 | 10.15854 | 14 |
47 | 9.75623·6 | 303 | 9.91451·0 | 146 | 10.08549 | 10.24376 | 9.84173 | 10.15827 | 13 |
48 | 9.75641·8 | 303 | 9.91442·2 | 146 | 10.08558 | 10.24358 | 9.84200 | 10.15800 | 12 |
49 | 9.75660·0 | 303 | 9.91433·4 | 146 | 10.08567 | 10.24340 | 9.84227 | 10.15773 | 11 |
50 | 9.75678·2 | 302 | 9.91424·6 | 147 | 10.08575 | 10.24322 | 9.84254 | 10.15746 | 10 |
51 | 9.75696·3 | 302 | 9.91415·8 | 147 | 10.08584 | 10.24304 | 9.84280 | 10.15720 | 9 |
52 | 9.75714·4 | 302 | 9.91407·0 | 147 | 10.08593 | 10.24286 | 9.84307 | 10.15693 | 8 |
53 | 9.75732·6 | 302 | 9.91398·2 | 147 | 10.08602 | 10.24267 | 9.84334 | 10.15666 | 7 |
54 | 9.75750·7 | 302 | 9.91389·4 | 147 | 10.08611 | 10.24249 | 9.84361 | 10.15639 | 6 |
55 | 9.75768·8 | 301 | 9.91380·6 | 147 | 10.08619 | 10.24231 | 9.84388 | 10.15612 | 5 |
56 | 9.75786·9 | 301 | 9.91371·8 | 147 | 10.08628 | 10.24213 | 9.84415 | 10.15585 | 4 |
57 | 9.75805·0 | 301 | 9.91363·0 | 147 | 10.08637 | 10.24195 | 9.84442 | 10.15558 | 3 |
58 | 9.75823·0 | 301 | 9.91354·1 | 147 | 10.08646 | 10.24177 | 9.84469 | 10.15531 | 2 |
59 | 9.75841·1 | 301 | 9.91345·3 | 147 | 10.08655 | 10.24159 | 9.84496 | 10.15504 | 1 |
60 | 9.75859·1 | 9.91336·5 | 10.08664 | 10.24141 | 9.84523 | 10.15477 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
55 Degrees. |
[page] 143
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
35 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.75859·1 | 301 | 9.91336·5 | 147 | 10.08664 | 10.24141 | 9.84523 | 10.15477 | 60 |
1 | 9.75877·2 | 300 | 9.91327·6 | 147 | 10.08672 | 10.24123 | 9.84550 | 10.15450 | 59 |
2 | 9.75895·2 | 300 | 9.91318·7 | 148 | 10.08681 | 10.24105 | 9.84576 | 10.15424 | 58 |
3 | 9.75913·2 | 300 | 9.91309·9 | 148 | 10.08690 | 10.24087 | 9.84603 | 10.15397 | 57 |
4 | 9.75931·2 | 300 | 9.91301·0 | 148 | 10.08699 | 10.24069 | 9.84630 | 10.15370 | 56 |
5 | 9.75949·2 | 300 | 9.91292·2 | 148 | 10.08708 | 10.24051 | 9.84657 | 10.15343 | 55 |
6 | 9.75967·2 | 299 | 9.91283·3 | 148 | 10.08717 | 10.24033 | 9.84684 | 10.15316 | 54 |
7 | 9.75985·2 | 299 | 9.91274·4 | 148 | 10.08726 | 10.24015 | 9.84711 | 10.15289 | 53 |
8 | 9.76003·1 | 299 | 9.91265·5 | 148 | 10.08734 | 10.23997 | 9.84738 | 10.15262 | 52 |
9 | 9.76021·1 | 299 | 9.91256·6 | 148 | 10.08743 | 10.23979 | 9.84764 | 10.15236 | 51 |
10 | 9.76039·0 | 299 | 9.91247·7 | 148 | 10.08752 | 10.23961 | 9.84791 | 10.15209 | 50 |
11 | 9.76056·9 | 298 | 9.91238·8 | 148 | 10.08761 | 10.23943 | 9.84818 | 10.15182 | 49 |
12 | 9.76074·8 | 298 | 9.91229·9 | 149 | 10.08770 | 10.23925 | 9.84845 | 10.15155 | 48 |
13 | 9.76092·7 | 298 | 9.91221·0 | 149 | 10.01779 | 10.23907 | 9.84872 | 10.15128 | 47 |
14 | 9.76110·6 | 298 | 9.91212·1 | 149 | 10.08788 | 10.23889 | 9.84899 | 10.15101 | 46 |
15 | 9.76128·5 | 298 | 9.91203·1 | 149 | 10.08797 | 10.23871 | 9.84925 | 10.15075 | 45 |
16 | 9.76146·4 | 298 | 9.91194·2 | 149 | 10.08806 | 10.23854 | 9.84952 | 10.15048 | 44 |
17 | 9.76164·2 | 297 | 9.91185·3 | 149 | 10.08815 | 10.23836 | 9.84979 | 10.15021 | 43 |
18 | 9.76182·1 | 297 | 9.91176·3 | 149 | 10.08824 | 10.23381 | 9.85006 | 10.14994 | 42 |
19 | 9.76199·9 | 297 | 9.91167·4 | 149 | 10.08833 | 10.23880 | 9.85033 | 10.14967 | 41 |
20 | 9.76217·7 | 297 | 9.91158·4 | 149 | 10.08842 | 10.23782 | 9.85059 | 10.14941 | 40 |
21 | 9.76235·6 | 297 | 9.91149·5 | 149 | 10.08851 | 10.23764 | 9.85086 | 10.14914 | 39 |
22 | 9.76253·4 | 296 | 9.91140·5 | 149 | 10.08859 | 10.23747 | 9.85113 | 10.14887 | 38 |
23 | 9.76217·2 | 296 | 9.91131·5 | 150 | 10.08868 | 10.23729 | 9.85140 | 10.14860 | 37 |
24 | 9.76288·9 | 296 | 9.91122·6 | 150 | 10.08877 | 10.23711 | 9.85166 | 10.14834 | 36 |
25 | 9.76306·7 | 296 | 9.91113·6 | 150 | 10.08886 | 10.23693 | 9.85193 | 10.14807 | 35 |
26 | 9.76324·5 | 296 | 9.91104·6 | 150 | 10.08895 | 10.23676 | 9.85220 | 10.14780 | 34 |
27 | 9.76342·2 | 296 | 9.91095·6 | 150 | 10.08904 | 10.23658 | 9.85247 | 10.14753 | 33 |
28 | 9.76360·0 | 295 | 9.91086·6 | 150 | 10.08913 | 10.23640 | 9.85273 | 10.14727 | 32 |
29 | 9.76377·7 | 295 | 9.91077·6 | 150 | 10.08922 | 10.23620 | 9.85300 | 10.14700 | 31 |
30 | 9.76395·4 | 295 | 9.91068·6 | 150 | 10.08931 | 10.23605 | 9.85327 | 10.14673 | 30 |
31 | 9.76413·1 | 295 | 9.91059·6 | 150 | 10.08940 | 10.23587 | 9.85354 | 10.14646 | 29 |
32 | 9.76430·8 | 295 | 9.91050·6 | 150 | 10.08949 | 10.23569 | 9.85380 | 10.14620 | 28 |
33 | 9.76448·5 | 294 | 9.91041·5 | 150 | 10.08958 | 10.235 | 9.85407 | 10.14593 | 27 |
34 | 9.76466·2 | 294 | 9.91032·5 | 151 | 10.08967 | 10.23534 | 9.85434 | 10.14566 | 26 |
35 | 9.76483·8 | 294 | 9.91023·5 | 151 | 10.08977 | 10.23516 | 9.85460 | 10.14540 | 25 |
36 | 9.76501·5 | 294 | 9.91014·4 | 151 | 10.08986 | 10.23499 | 9.85487 | 10.14513 | 24 |
37 | 9.76519·1 | 294 | 9.91005·4 | 151 | 10.08995 | 10.23481 | 9.85514 | 10.14486 | 23 |
38 | 9.76536·7 | 294 | 9.90996·3 | 151 | 10.09004 | 10.23463 | 9.85540 | 10.14460 | 22 |
39 | 9.76554·4 | 293 | 9.90987·3 | 151 | 10.09013 | 10.23446 | 9.85567 | 10.14433 | 21 |
40 | 9.76572·0 | 293 | 9.90978·2 | 151 | 10.09022 | 10.23428 | 9.85594 | 10.14406 | 20 |
41 | 9.76589·6 | 293 | 9.90969·1 | 151 | 10.09031 | 10.33410 | 9.85620 | 10.14380 | 19 |
42 | 9.76607·2 | 293 | 9.90960·1 | 151 | 10.09040 | 10.23393 | 9.85647 | 10.14353 | 18 |
43 | 9.76624·7 | 293 | 9.90951·0 | 151 | 10.09049 | 10.23375 | 9.85674 | 10.14326 | 17 |
44 | 9.76642·3 | 293 | 9.90941·9 | 151 | 10.09058 | 10.23358 | 9.85700 | 10.14300 | 16 |
45 | 9.76659·8 | 292 | 9.90932·8 | 152 | 10.09067 | 10.23340 | 9.85727 | 10.14273 | 15 |
46 | 9.76677·4 | 292 | 9.90923·7 | 152 | 10.09076 | 10.23323 | 9.85754 | 10.14246 | 14 |
47 | 9.76694·9 | 292 | 9.90914·6 | 152 | 10.09085 | 10.23305 | 9.85780 | 10.14220 | 13 |
48 | 9.76712·4 | 292 | 9.90905·5 | 152 | 10.09094 | 10.23288 | 9.85807 | 10.14193 | 12 |
49 | 9.76730·0 | 292 | 9.90896·4 | 152 | 10.09104 | 10.23270 | 9.85834 | 10.14166 | 11 |
50 | 9.76747·5 | 291 | 9.90887·3 | 152 | 10.09113 | 10.23253 | 9.85860 | 10.14140 | 10 |
51 | 9.76764·9 | 291 | 9.90878·1 | 152 | 10.09122 | 10.23235 | 9.85887 | 10.14113 | 9 |
52 | 9.76782·4 | 291 | 9.90869·0 | 152 | 10.09131 | 10.23218 | 9.85913 | 10.14087 | 8 |
53 | 9.76799·9 | 291 | 9.90859·9 | 152 | 10.09140 | 10.23200 | 9.85940 | 10.14060 | 7 |
54 | 9.76817·3 | 291 | 9.90850·7 | 152 | 10.09149 | 10.23183 | 9.85967 | 10.14033 | 6 |
55 | 9.76834·8 | 290 | 9.90841·6 | 153 | 10.09158 | 10.23165 | 9.85993 | 10.14007 | 5 |
56 | 9.76852·2 | 290 | 9.90832·4 | 153 | 10.09168 | 10.23148 | 9.86020 | 10.13980 | 4 |
57 | 9.76869·7 | 290 | 9.90823·3 | 153 | 10.09177 | 10.23130 | 9.86046 | 10.13954 | 3 |
58 | 9.76887·1 | 290 | 9.90814·1 | 153 | 10.09186 | 10.23113 | 9.86073 | 10.13927 | 2 |
59 | 9.76904·5 | 290 | 9.90804·9 | 153 | 10.09195 | 10.23096 | 9.86100 | 10.13900 | 1 |
60 | 9.76921·9 | 9.90795·8 | 10.09204 | 10.23078 | 9.86126 | 10.13874 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
54 Degrees. |
[page] 144
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
36 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.76921·9 | 290 | 9.90795·8 | 153 | 10.09204 | 10.23078 | 9.86126 | 10.13874 | 60 |
1 | 9.76939·5 | 289 | 9.90786·6 | 153 | 10.09213 | 10.23061 | 9.86153 | 10.13847 | 59 |
2 | 9.76956·6 | 289 | 9.90777·4 | 153 | 10.09223 | 10.23043 | 9.86179 | 10.13821 | 58 |
3 | 9.76974·0 | 289 | 9.90768·2 | 153 | 10.09232 | 10.23026 | 9.86206 | 10.13794 | 57 |
4 | 9.76991·3 | 289 | 9.90759·0 | 153 | 10.09241 | 10.23009 | 9.86232 | 10.13768 | 56 |
5 | 9.77008·7 | 289 | 9.90749·8 | 153 | 10.09250 | 10.22991 | 9.86259 | 10.13741 | 55 |
6 | 9.77026·0 | 288 | 9.90740·6 | 153 | 10.09259 | 10.22974 | 9.86285 | 10.13715 | 54 |
7 | 9.77043·3 | 288 | 9.90731·4 | 154 | 10.09269 | 10.22957 | 9.86312 | 10.13688 | 53 |
8 | 9.77060·6 | 288 | 9.90722·2 | 154 | 16.09278 | 10.22939 | 9.86338 | 10.13662 | 52 |
9 | 9.77077·9 | 288 | 9.90712·9 | 154 | 10.09287 | 10.22922 | 9.86365 | 10.13635 | 51 |
10 | 9.77095·2 | 288 | 9.90705·7 | 154 | 10.09296 | 10.22965 | 9.86392 | 10.13608 | 50 |
11 | 9.77112·5 | 288 | 9.90694·5 | 154 | 10.09306 | 10.22888 | 9.86418 | 10.13582 | 49 |
12 | 9.77129·8 | 287 | 9.90685·2 | 154 | 10.09315 | 10.22870 | 9.86445 | 10.13555 | 48 |
13 | 9.77147·0 | 287 | 9.90676·0 | 154 | 10.09324 | 10.22853 | 9.86471 | 10.13529 | 47 |
14 | 9.77164·3 | 287 | 9.90666·7 | 154 | 10.09333 | 10.22836 | 9.86498 | 10.13502 | 46 |
15 | 9.77181·5 | 287 | 9.90657·5 | 154 | 10.09343 | 10.22819 | 9.86524 | 10.13476 | 45 |
16 | 9.77198·7 | 287 | 9.90648·2 | 154 | 10.09352 | 10.22801 | 9.86551 | 10.13449 | 44 |
17 | 9.77215·9 | 287 | 9.90638·9 | 155 | 10.09361 | 10.22784 | 9.86577 | 10.13423 | 43 |
18 | 9.77233·1 | 286 | 9.90629·6 | 155 | 10.09370 | 10.22767 | 9.86603 | 10.13397 | 42 |
19 | 9.77250·3 | 286 | 9.90630·4 | 155 | 10.09380 | 10.22750 | 9.86630 | 10.13370 | 41 |
20 | 9.77267·5 | 286 | 9.90611·1 | 155 | 10.09389 | 10.22732 | 9.86656 | 10.13344 | 40 |
21 | 9.77284·7 | 286 | 9.90601·8 | 155 | 10.09398 | 10.22715 | 9.86683 | 10.13317 | 39 |
22 | 9.77301·8 | 286 | 9.90592·5 | 155 | 10.09408 | 10.22698 | 9.86709 | 10.13291 | 38 |
23 | 9.77319·0 | 286 | 9.90583·2 | 155 | 10.09417 | 10.22681 | 9.86736 | 10.13264 | 37 |
24 | 9.77336·1 | 285 | 9.90573·9 | 155 | 10.09426 | 10.22664 | 9.86762 | 10.13238 | 36 |
25 | 9.77353·3 | 285 | 9.90564·5 | 155 | 10.09435 | 10.22647 | 9.86789 | 10.13211 | 35 |
26 | 9.77370·4 | 285 | 9.90555·2 | 155 | 10.09445 | 10.22630 | 9.86815 | 10.13185 | 34 |
27 | 9.77387·5 | 285 | 9.90545·9 | 155 | 10.09454 | 10.22613 | 9.86842 | 10.13158 | 33 |
28 | 9.77404·6 | 285 | 9.90536·6 | 156 | 10.09463 | 10.22595 | 9.86868 | 10.13132 | 32 |
29 | 9.77421·7 | 285 | 9.90527·2 | 156 | 10.09473 | 10.22578 | 9.86894 | 10.13106 | 31 |
30 | 9.77438·8 | 284 | 9.90517·9 | 156 | 10.09482 | 10.22561 | 9.86921 | 10.13079 | 30 |
31 | 9.77455·8 | 284 | 9.90508·5 | 156 | 10.09491 | 10.22544 | 9.86947 | 10.13053 | 29 |
32 | 9.77472·9 | 284 | 9.90499·2 | 156 | 10.09501 | 10.22527 | 9.86974 | 10.13026 | 28 |
33 | 9.77489·9 | 284 | 9.90489·8 | 156 | 10.09510 | 10.22510 | 9.87000 | 10.15000 | 27 |
34 | 9.77507·0 | 284 | 9.99480·4 | 156 | 10.09520 | 10.22493 | 9.87027 | 10.12973 | 26 |
35 | 9.77524·0 | 284 | 9.90471·1 | 156 | 10.09529 | 10.22476 | 9.87053 | 10.12947 | 25 |
36 | 9.77541·0 | 283 | 9.90461·7 | 156 | 10.09538 | 10.22459 | 9.87079 | 10.12931 | 24 |
37 | 9.77558·0 | 283 | 9.90452·3 | 156 | 10.09548 | 10.22442 | 9.87106 | 10.12894 | 23 |
38 | 9.77575·0 | 283 | 9.90442·9 | 157 | 10.09557 | 10.22425 | 9.87132 | 10.12868 | 22 |
39 | 9.77592·0 | 283 | 9.90433·5 | 157 | 10.09566 | 10.22408 | 9.87158 | 10.12842 | 21 |
40 | 9.77609·0 | 283 | 9.90424·1 | 157 | 10.09576 | 10.22391 | 9.87185 | 10.12815 | 20 |
41 | 9.77625·9 | 283 | 9.90414·7 | 157 | 10.09585 | 10.22374 | 9.87211 | 10.11789 | 19 |
42 | 9.77642·9 | 282 | 9.90405·3 | 157 | 10.09595 | 10.22357 | 9.87238 | 10.12762 | 18 |
43 | 9.77659·8 | 282 | 9.90395·9 | 157 | 10.09604 | 10.22340 | 9.87264 | 10.12736 | 17 |
44 | 9.77676·8 | 282 | 9.90386·4 | 157 | 10.09614 | 10.22323 | 9.87290 | 10.12710 | 16 |
45 | 9.77693·7 | 282 | 9.90377·0 | 157 | 10.09625 | 10.22306 | 9.87317 | 10.12683 | 15 |
46 | 9.77710·6 | 282 | 9.90367·6 | 157 | 10.09632 | 10.22289 | 9.87343 | 10.12657 | 14 |
47 | 9.77727·5 | 281 | 9.90358·1 | 157 | 10.09642 | 10.22272 | 9.87369 | 10.12631 | 13 |
48 | 9.77744·4 | 281 | 9.90348·7 | 157 | 10.09651 | 10.22256 | 9.87396 | 10.12604 | 12 |
49 | 9.77761·3 | 281 | 9.90339·2 | 158 | 10.09661 | 10.22239 | 9.87422 | 10.12578 | 11 |
50 | 9.77778·1 | 281 | 9.90329·8 | 158 | 10.09670 | 10.22222 | 9.87448 | 10.12552 | 10 |
51 | 9.77795·0 | 281 | 9.90320·3 | 158 | 10.09680 | 10.22205 | 9.87475 | 10.12525 | 9 |
52 | 9.77811·9 | 281 | 9.90310·8 | 158 | 10.09689 | 10.22188 | 9.87501 | 10.12499 | 8 |
53 | 9.77828·7 | 280 | 9.90301·4 | 158 | 10.09699 | 10.22171 | 9.87527 | 10.12473 | 7 |
54 | 9.77845·5 | 280 | 9.90291·9 | 158 | 10.09708 | 10.22154 | 9.87554 | 10.12446 | 6 |
55 | 9.77862·4 | 280 | 9.90282·4 | 158 | 10.09718 | 10.22138 | 9.87580 | 10.12420 | 5 |
56 | 9.77879·2 | 280 | 9.90272·9 | 158 | 10.09727 | 10.22121 | 9.87606 | 10.12394 | 4 |
57 | 9.77896·0 | 280 | 9.90263·4 | 158 | 10.69737 | 10.22104 | 9.87633 | 10.12367 | 3 |
58 | 9.77912·8 | 280 | 9.90253·9 | 159 | 10.09746 | 10.22087 | 9.87659 | 10.12341 | 2 |
59 | 9.77929·5 | 279 | 9.90244·4 | 159 | 10.09756 | 10.22070 | 9.87685 | 10.12315 | 1 |
60 | 9.77946·3 | 9.90234·9 | 10.09765 | 10.22054 | 9.87711 | 10.12289 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
53 Degrees. |
[page] 145
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
37 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.77946·3 | 279 | 9.90234·9 | 159 | 10.09765 | 10.22054 | 9.87711 | 10.12289 | 60 |
1 | 9.77963·1 | 279 | 9.90225·3 | 159 | 10.09773 | 10.22037 | 9.87738 | 10.12262 | 59 |
2 | 9.77979·8 | 279 | 9.90215·8 | 159 | 10.09784 | 10.22020 | 9.87764 | 10.12236 | 58 |
3 | 9.77996·6 | 279 | 9.90206·3 | 159 | 10.09794 | 10.22003 | 9.87790 | 10.12210 | 57 |
4 | 9.78013·3 | 279 | 9.90196·7 | 159 | 10.09803 | 10.21987 | 9.87817 | 10.12183 | 56 |
5 | 9.78030·0 | 278 | 9.90187·2 | 159 | 10.09813 | 10.21970 | 9.87843 | 10.12157 | 55 |
6 | 9.78046·7 | 278 | 9.90177·6 | 159 | 10.09822 | 10.21953 | 9.87869 | 10.12131 | 54 |
7 | 9.78063·4 | 278 | 9.90168·1 | 159 | 10.09832 | 10.21937 | 9.87895 | 10.12105 | 53 |
8 | 9.78080·1 | 278 | 9.90158·5 | 159 | 10.09841 | 10.21920 | 9.87922 | 10.12078 | 52 |
9 | 9.78096·8 | 278 | 9.90149·0 | 159 | 10.09851 | 10.21903 | 9.87948 | 10.12052 | 51 |
10 | 9.78113·4 | 278 | 9.90139·4 | 160 | 10.09861 | 10.21887 | 9.87974 | 10.12026 | 50 |
11 | 9.78130·1 | 277 | 9.90129·8 | 160 | 10.09879 | 10.21870 | 9.88000 | 10.12000 | 49 |
12 | 9.78146·8 | 277 | 9.90120·2 | 160 | 10.09880 | 10.21853 | 9.88027 | 10.11973 | 48 |
13 | 9.78163·4 | 277 | 9.90110·6 | 160 | 10.09889 | 10.21837 | 9.88053 | 10.11947 | 47 |
14 | 9.78180·0 | 277 | 9.90101·0 | 160 | 10.09899 | 10.21820 | 9.88079 | 10.11921 | 46 |
15 | 9.78196·6 | 277 | 9.90091·4 | 160 | 10.09909 | 10.21803 | 9.88105 | 10.11895 | 45 |
16 | 9.78213·2 | 277 | 9.90081·8 | 160 | 10.09918 | 10.21787 | 9.88131 | 10.11869 | 44 |
17 | 9.78·29.8 | 276 | 9.90072·2 | 160 | 10.09928 | 10.21770 | 9.88158 | 10.11842 | 43 |
18 | 9.78246·4 | 276 | 9.90062·6 | 160 | 10.09937 | 10.21754 | 9.88184 | 10.11816 | 42 |
19 | 9.78463·0 | 276 | 9.90052·9 | 160 | 10.09947 | 10.21737 | 9.88210 | 10.11790 | 41 |
20 | 9.78279·6 | 276 | 9.90043·3 | 161 | 10.09957 | 10.21720 | 9.88236 | 10.11764 | 40 |
21 | 9.78296·1 | 276 | 9.90033·7 | 161 | 10.09966 | 10.21704 | 9.88262 | 10.11738 | 39 |
22 | 9.78312·7 | 276 | 9.90024·0 | 161 | 10.09976 | 10.21687 | 9.88289 | 10.11711 | 38 |
23 | 9.78329·2 | 275 | 9.90014·4 | 161 | 10.09986 | 19.21671 | 9.88315 | 10.11685 | 37 |
24 | 9.78345·8 | 275 | 9.90004·7 | 161 | 10.09995 | 10.21654 | 9.88341 | 10.11659 | 36 |
25 | 9.78362·3 | 275 | 9.89995·1 | 161 | 10.10005 | 10.21638 | 9.88367 | 10.11633 | 35 |
26 | 9.78378·8 | 275 | 9.89985·4 | 161 | 10.10015 | 10.21621 | 9.88393 | 10.11607 | 34 |
27 | 9.78395·3 | 275 | 9.89975·7 | 161 | 10.10024 | 10.21605 | 9.88420 | 10.11580 | 33 |
28 | 9.78411·8 | 275 | 9.89966·0 | 161 | 10.10034 | 10.21588 | 9.88446 | 10.11554 | 32 |
29 | 9.78428·2 | 274 | 9.89956·4 | 161 | 10.10044 | 10.21572 | 9.88472 | 10.11528 | 31 |
30 | 9.78444·7 | 274 | 9.89946·7 | 162 | 10.10053 | 10.21555 | 9.88498 | 10.11502 | 30 |
31 | 9.78461·2 | 274 | 9.89937·0 | 162 | 10.10063 | 10.21539 | 9.88524 | 10.11476 | 29 |
32 | 9.78477·6 | 274 | 9.89937·3 | 162 | 10.10073 | 10.21522 | 9.88550 | 10.11450 | 28 |
33 | 9.78494·1 | 274 | 9.89917·6 | 162 | 10.10082 | 10.21506 | 9.88577 | 10.11423 | 27 |
34 | 9.78510·5 | 274 | 9.89907·8 | 162 | 10.10092 | 10.21490 | 9.88603 | 10.11397 | 26 |
35 | 9.78526·9 | 273 | 9.89898·1 | 162 | 10.10102 | 10.21473 | 9.88629 | 10.11371 | 25 |
36 | 9.78543·3 | 373 | 9.89888·4 | 162 | 10.10112 | 10.21457 | 9.88655 | 10.11345 | 24 |
37 | 9.78559·7 | 273 | 9.89878·7 | 162 | 10.10121 | 10.21440 | 9.88681 | 10.11319 | 23 |
38 | 9.78576·1 | 273 | 9.89868·9 | 162 | 10.10131 | 10.21424 | 9.88707 | 10.11293 | 22 |
39 | 9.78592·5 | 273 | 9.89859·3 | 162 | 10.10141 | 10.21408 | 9.88733 | 10.11267 | 21 |
40 | 9.78608·9 | 273 | 9.89849·4 | 163 | 10.10151 | 10.21391 | 9.88759 | 10.11241 | 20 |
41 | 9.78625·2 | 272 | 9.89839·7 | 163 | 10.10160 | 10.21375 | 9.88786 | 10.11214 | 19 |
42 | 9.78641·6 | 272 | 9.89829·9 | 163 | 10.10170 | 10.21358 | 9.88812 | 10.11188 | 18 |
43 | 9.78657·9 | 272 | 9.89820·2 | 163 | 10.10180 | 10.21342 | 9.88838 | 10.11162 | 17 |
44 | 9.78674·2 | 272 | 9.89810·4 | 163 | 10.10190 | 10.21326 | 9.88864 | 10.11136 | 16 |
45 | 9.78690·6 | 272 | 9.89800·6 | 163 | 10.10199 | 10.21309 | 9.88890 | 10.11110 | 15 |
46 | 9.78706·9 | 272 | 9.89790·8 | 163 | 10.10209 | 10.21293 | 9.88916 | 10.11084 | 14 |
47 | 9.78723·1 | 271 | 9.89781·0 | 163 | 10.10219 | 10.21277 | 9.88942 | 10.11058 | 13 |
48 | 9.78739·5 | 271 | 9.89771·3 | 163 | 10.10229 | 10.21261 | 9.88968 | 10.11032 | 12 |
49 | 9.78755·7 | 271 | 9.89761·4 | 163 | 10.10239 | 10.21244 | 9.88994 | 10.11006 | 11 |
50 | 9.78772·0 | 271 | 9.89751·6 | 163 | 10.16248 | 10.21228 | 9.89020 | 10.10980 | 10 |
51 | 9.78788·3 | 271 | 9.89741·8 | 164 | 10.10258 | 10.21212 | 9.89046 | 10.10954 | 9 |
52 | 9.78864·5 | 271 | 9.89732·0 | 164 | 10.10268 | 10.21195 | 9.89073 | 10.10927 | 8 |
53 | 9.78820·8 | 271 | 9.89722·2 | 164 | 10.10278 | 10.21179 | 9.89091 | 10.10901 | 7 |
54 | 9.78837·0 | 270 | 9.89712·3 | 164 | 10.10288 | 10.21163 | 9.89125 | 10.10875 | 6 |
55 | 9.78853·2 | 270 | 9.89702·5 | 164 | 10.10298 | 10.21147 | 9.89151 | 10.10849 | 5 |
56 | 9.78869·4 | 270 | 9.89692·6 | 164 | 10.10307 | 10.21131 | 9.89177 | 10.10823 | 4 |
57 | 9.78885·6 | 270 | 9.89682·8 | 164 | 10.10317 | 10.21114 | 9.89203 | 10.10797 | 3 |
58 | 9.78901·8 | 270 | 9.89672·9 | 164 | 10.10327 | 10.21098 | 9.89229 | 10.10771 | 2 |
59 | 9.78918·0 | 270 | 9.89663·1 | 164 | 10.10337 | 10.21082 | 9.89255 | 10.10745 | 1 |
60 | 9.78934·2 | 9.89653·2 | 10.10347 | 10.21066 | 9.89281 | 10.10719 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
52 Degrees. |
T
[page] 146
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
38 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.78934·2 | 269 | 9.19653·2 | 164 | 10.10347 | 10.21066 | 9.89281 | 10.10719 | 60 |
1 | 9.78990·4 | 269 | 9.89643·3 | 165 | 10.10357 | 10.21050 | 9.89307 | 10.10693 | 59 |
2 | 9.78966·5 | 269 | 9.89633·5 | 165 | 10.10367 | 10.21033 | 9.89333 | 10.10667 | 58 |
3 | 9.78920·7 | 269 | 9.89623·6 | 165 | 10.10376 | 10.21017 | 9.89359 | 10.10641 | 57 |
4 | 9.78998·8 | 269 | 9.89613·7 | 165 | 10.10386 | 10.21001 | 9.89385 | 10.10589 | 56 |
5 | 9.79014·9 | 269 | 9.89603·8 | 165 | 10.10396 | 10.20985 | 9.89411 | 10.10589 | 55 |
6 | 9.79031·0 | 268 | 9.89593·9 | 165 | 10.10406 | 10.20969 | 9.89437 | 10.10563 | 54 |
7 | 9.79047·1 | 268 | 9.89584·0 | 165 | 10.10416 | 10.20953 | 9.89463 | 10.10537 | 53 |
8 | 9.79063·1 | 268 | 9.89574·1 | 165 | 10.10426 | 10.20937 | 9.89489 | 10.10511 | 52 |
9 | 9.79079·3 | 268 | 9.89564·1 | 165 | 10.10436 | 10.20921 | 9.89115 | 10.10485 | 51 |
10 | 9.79095·4 | 268 | 9.89554·1 | 165 | 10.10446 | 10.20905 | 9.89541 | 10.10459 | 50 |
11 | 9.79111·5 | 268 | 9.89544·3 | 166 | 10.10456 | 10.20889 | 9.89567 | 10.10433 | 49 |
12 | 9.79127·5 | 267 | 9.89534·3 | 166 | 10.10466 | 10.20872 | 9.89593 | 10.10407 | 48 |
13 | 9.79·43.6 | 267 | 9.89524·4 | 166 | 10.10476 | 10.20856 | 9.89619 | 10.10381 | 47 |
14 | 9.79159·6 | 267 | 9.89514·5 | 166 | 10.10486 | 10.20840 | 9.89645 | 10.10355 | 46 |
15 | 9.79175·7 | 267 | 9.89504·5 | 166 | 10.10496 | 10.20824 | 9.89671 | 10.10329 | 45 |
16 | 9.79191·7 | 267 | 9.89494·5 | 166 | 10.10505 | 10.20808 | 9.89697 | 10.10303 | 44 |
17 | 9.79207·7 | 267 | 9.89484·6 | 166 | 10.10515 | 10.20792 | 9.89723 | 10.10277 | 43 |
18 | 9.79223·7 | 266 | 9.89474·6 | 166 | 10.10525 | 10.20776 | 9.89749 | 10.10251 | 42 |
19 | 9.79239·7 | 266 | 9.89464·6 | 166 | 10.10535 | 10.20760 | 9.89775 | 10.10225 | 41 |
20 | 9.79255·7 | 266 | 9.89454·6 | 166 | 10.10545 | 10.20744 | 9.89801 | 10.10199 | 40 |
21 | 9.79271·6 | 266 | 9.89444·6 | 167 | 10.10555 | 10.20728 | 9.89827 | 10.10173 | 39 |
22 | 9.79287·6 | 266 | 9.89434·6 | 167 | 10.10565 | 10.20712 | 9.89853 | 10.10147 | 38 |
23 | 9.79303·5 | 266 | 9.89424·6 | 167 | 10.10575 | 10.20696 | 9.89879 | 10.10121 | 37 |
24 | 9.79319·5 | 265 | 9.89414·6 | 167 | 10.10585 | 10.20681 | 9.89905 | 10.10095 | 36 |
25 | 9.79335·4 | 265 | 9.89404·6 | 167 | 10.10595 | 10.20665 | 9.89931 | 10.10069 | 35 |
26 | 9.79351·4 | 265 | 9.89394·6 | 167 | 10.10605 | 10.20649 | 9.89957 | 10.10043 | 34 |
27 | 9.79367·3 | 265 | 9.89384·6 | 167 | 10.10615 | 10.20633 | 9.89983 | 10.10017 | 33 |
28 | 9.79323·2 | 265 | 9.89374·5 | 167 | 10.10625 | 10.20617 | 9.90009 | 10.09991 | 32 |
29 | 9.79399·1 | 265 | 9.89364·5 | 167 | 10.10636 | 10.20601 | 9.90035 | 10.09965 | 31 |
30 | 9.79415·0 | 264 | 9.89354·4 | 167 | 10.10646 | 10.20585 | 9.90061 | 10.09939 | 30 |
31 | 9.79430·8 | 264 | 9.89344·4 | 168 | 10.10656 | 10.20569 | 9.90086 | 10.09914 | 29 |
32 | 9.79446·7 | 264 | 9.89334·3 | 168 | 10.10666 | 10.20553 | 9.90112 | 10.09888 | 28 |
33 | 9.79462·6 | 264 | 9.89324·3 | 168 | 10.10676 | 10.20537 | 9.90138 | 10.09862 | 27 |
34 | 9.79478·4 | 264 | 9.89314·2 | 168 | 10.10686 | 10.20522 | 9.90164 | 10.09836 | 26 |
35 | 9.79494·2 | 264 | 9.89304·1 | 168 | 10.10696 | 10.20506 | 9.90190 | 10.09810 | 25 |
36 | 9.79510·1 | 264 | 9.89294·0 | 168 | 10.10706 | 10.20490 | 9.90216 | 10.09784 | 24 |
37 | 9.79525·9 | 263 | 9.89283·9 | 168 | 10.10716 | 10.20474 | 9.90242 | 10.09758 | 23 |
38 | 9.79541·7 | 263 | 9.89273·9 | 168 | 10.10726 | 10.26458 | 9.90268 | 10.09732 | 22 |
39 | 9.79557·5 | 263 | 9.89263·8 | 168 | 10.10736 | 10.20442 | 9.90294 | 10.09706 | 21 |
40 | 9.79573·3 | 263 | 9.89253·6 | 168 | 10.10746 | 10.20427 | 9.90320 | 10.09680 | 20 |
41 | 9.79589·1 | 263 | 9.89243·5 | 169 | 10.10756 | 10.20411 | 9.90346 | 10.09654 | 19 |
42 | 9.79604·9 | 263 | 9.89233·4 | 169 | 10.10767 | 10.20395 | 9.90371 | 10.09639 | 18 |
43 | 9.79620·6 | 263 | 9.89223·3 | 169 | 10.10777 | 10.20379 | 9.90397 | 10.09603 | 17 |
44 | 9.79636·4 | 262 | 9.89213·2 | 169 | 10.10787 | 10.20364 | 9.90423 | 10.09577 | 16 |
45 | 9.79652·1 | 262 | 9.89203·0 | 169 | 10.10797 | 10.20348 | 9.90449 | 10.09551 | 15 |
46 | 9.79667·9 | 262 | 9.89192·9 | 169 | 10.10807 | 10.20332 | 9.90475 | 10.09525 | 14 |
47 | 9.79683·6 | 262 | 9.89182·7 | 169 | 10.10817 | 10.20316 | 9.90501 | 10.09499 | 13 |
48 | 9.79699·3 | 262 | 9.89172·6 | 169 | 10.10827 | 10.20301 | 9.90527 | 10.09473 | 12 |
49 | 9.79715·0 | 262 | 9.89162·4 | 169 | 10.10838 | 10.20285 | 9.90553 | 10.09447 | 11 |
50 | 9.79730·7 | 261 | 9.89152·3 | 170 | 10.10848 | 10.20269 | 9.90578 | 10.09422 | 10 |
51 | 9.79746·4 | 261 | 9.89142·1 | 170 | 10.10858 | 10.20254 | 9.90604 | 10.09396 | 9 |
52 | 9.79762·1 | 261 | 9.89131·9 | 170 | 10.10808 | 10.20238 | 9.90630 | 10.09370 | 8 |
53 | 9.79777·7 | 261 | 9.89121·7 | 170 | 10.10878 | 10.20222 | 9.90656 | 10.09344 | 7 |
54 | 9.79793·4 | 261 | 9.89111·5 | 170 | 10.10888 | 10.20207 | 9.90684 | 10.09318 | 6 |
55 | 9.79809·1 | 261 | 9.89101·3 | 170 | 10.10899 | 10.20191 | 9.90708 | 10.09292 | 5 |
56 | 9.79824·7 | 261 | 9.89091·1 | 170 | 10.10909 | 10.20175 | 9.90734 | 10.09266 | 4 |
57 | 9.79840·3 | 260 | 9.89080·9 | 170 | 10.10919 | 10.20160 | 9.90759 | 10.09241 | 3 |
58 | 9.79856·0 | 260 | 9.89070·7 | 170 | 10.10929 | 10.20144 | 9.90785 | 10.09215 | 2 |
59 | 9.79871·6 | 260 | 9.89060·5 | 170 | 10.10940 | 10.20128 | 9.90811 | 10.09189 | 1 |
60 | 9.79887·2 | 9.89050·3 | 10.10950 | 10.20113 | 9.90837 | 10.09163 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
51 Degrees. |
[page] 147
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
39 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.79887·2 | 260 | 9.89050·3 | 170 | 10.10950 | 10.20113 | 9.90837 | 10.09163 | 60 |
1 | 9.79902·8 | 260 | 9.89040·0 | 171 | 10.10960 | 10.20097 | 9.90863 | 10.09137 | 59 |
2 | 9.79918·4 | 260 | 9.89029·8 | 171 | 10.10970 | 10.20082 | 9.90889 | 10.09111 | 58 |
3 | 9.79933·9 | 259 | 9.89019·5 | 171 | 10.10980 | 10.20066 | 9.90914 | 10.09086 | 57 |
4 | 9.79949·5 | 259 | 9.89009·3 | 171 | 10.10991 | 10.20050 | 9.90940 | 10.09060 | 56 |
5 | 9.79965·1 | 259 | 9.88999·0 | 171 | 10.11001 | 10.20035 | 9.90966 | 10.09034 | 55 |
6 | 9.79980·6 | 259 | 9.88988·8 | 171 | 10.11011 | 10.20019 | 9.90992 | 10.09008 | 54 |
7 | 9.79996·2 | 259 | 9.88978·5 | 171 | 10.11022 | 10.20004 | 9.91018 | 10.08982 | 53 |
8 | 9.80011·7 | 259 | 9.88968·2 | 171 | 10.11032 | 10.19988 | 9.91043 | 10.08957 | 52 |
9 | 9.80017·2 | 258 | 9.88957·9 | 171 | 10.11042 | 10.19973 | 9.91069 | 10.08931 | 51 |
10 | 9.80042·7 | 258 | 9.88947·7 | 171 | 10.11052 | 10.19957 | 9.91095 | 10.08901 | 50 |
11 | 9.80058·2 | 258 | 9.88937·4 | 172 | 10.11063 | 10.19942 | 9.91121 | 10.08879 | 49 |
12 | 9.80073·7 | 258 | 9.88927·1 | 172 | 11.11073 | 10.19926 | 9.91147 | 10.08851 | 48 |
13 | 9.80089·2 | 258 | 9.88916·8 | 172 | 11.11083 | 10.19911 | 9.91172 | 10.08828 | 47 |
14 | 9.80104·7 | 258 | 9.88906·4 | 172 | 10.11094 | 10.19895 | 9.91198 | 10.08802 | 46 |
15 | 9.80120·1 | 258 | 9.88896·1 | 172 | 10.11104 | 10.19880 | 9.91224 | 10.08776 | 45 |
16 | 9.80135·6 | 257 | 9.88885·8 | 172 | 10.11114 | 10.19864 | 9.91250 | 10.08750 | 44 |
17 | 9.80151·1 | 257 | 9.88871·5 | 172 | 10.11125 | 10.19849 | 9.91276 | 10.08724 | 43 |
18 | 9.80166·5 | 257 | 9.88865·1 | 172 | 10.11135 | 10.19834 | 9.91301 | 10.08699 | 42 |
19 | 9.80181·9 | 257 | 9.88854·8 | 172 | 10.11145 | 10.19818 | 9.91327 | 10.08673 | 41 |
20 | 9.80197·3 | 257 | 9.88844·4 | 173 | 10.11156 | 10.19803 | 9.91353 | 10.08647 | 40 |
21 | 9.80212·8 | 257 | 9.88834·1 | 173 | 10.11166 | 10.19787 | 9.91379 | 10.08621 | 39 |
22 | 9.80228·2 | 256 | 9.88823·7 | 173 | 10.11176 | 10.19772 | 9.91404 | 10.08596 | 38 |
23 | 9.80243·6 | 256 | 9.88813·4 | 173 | 10.11187 | 10.19756 | 9.91430 | 10.08570 | 37 |
24 | 9.80258·9 | 256 | 9.88803·0 | 173 | 10.11197 | 10.19741 | 9.91456 | 10.08544 | 36 |
25 | 9.80274·3 | 256 | 9.88792·6 | 173 | 10.11207 | 10.19726 | 9.91482 | 10.08518 | 35 |
26 | 9.80289·7 | 256 | 9.88782·2 | 173 | 10.11218 | 10.19710 | 9.91507 | 10.08493 | 34 |
27 | 9.80305·0 | 256 | 9.88771·8 | 173 | 10.11228 | 10.19695 | 9.91533 | 10.08467 | 33 |
28 | 9.80320·4 | 256 | 9.88761·4 | 173 | 10.11239 | 10.19680 | 9.91559 | 10.08441 | 32 |
29 | 9.80335·7 | 255 | 9.88751·0 | 173 | 10.11249 | 10.19664 | 9.91585 | 10.08423 | 31 |
30 | 9.80351·1 | 255 | 9.88740·6 | 174 | 10.11259 | 10.19649 | 9.91610 | 10.08390 | 30 |
31 | 9.80366·4 | 255 | 9.88730·2 | 174 | 10.11270 | 10.19634 | 9.91636 | 10.08364 | 29 |
32 | 9.80381·7 | 255 | 9.88719·8 | 174 | 10.11280 | 10.19618 | 9.91662 | 10.08338 | 28 |
33 | 9.80397·0 | 255 | 9.88709·3 | 174 | 10.11291 | 10.19603 | 9.91688 | 10.08312 | 27 |
34 | 9.80412·3 | 255 | 9.88698·9 | 174 | 10.11561 | 10.19588 | 9.91713 | 10.08287 | 26 |
35 | 9.80427·6 | 254 | 9.88688·5 | 174 | 10.11312 | 10.19572 | 9.91739 | 10.08261 | 25 |
36 | 9.80442·8 | 254 | 9.88678·0 | 174 | 10.11322 | 10.19557 | 9.91765 | 10.08235 | 24 |
37 | 9.80458·1 | 254 | 9.88667·6 | 174 | 10.11332 | 10.19542 | 9.91791 | 10.08209 | 23 |
38 | 9.80473·4 | 254 | 9.88657·1 | 174 | 10.11343 | 10.19527 | 9.91816 | 10.08184 | 22 |
39 | 9.80488·6 | 254 | 9.88646·6 | 174 | 10.11353 | 10.19511 | 9.91842 | 10.08158 | 21 |
40 | 9.80503·9 | 254 | 9.88636·2 | 175 | 10.11364 | 10.19496 | 9.91868 | 10.08132 | 20 |
41 | 9.80519·1 | 254 | 9.88625·7 | 175 | 10.11374 | 10.19481 | 9.91893 | 10.08107 | 19 |
42 | 9.80534·3 | 253 | 9.88615·2 | 175 | 10.11385 | 10.19466 | 9.91919 | 10.08081 | 18 |
43 | 9.80549·5 | 253 | 9.88604·7 | 175 | 10.11395 | 10.19450 | 9.91945 | 10.08055 | 17 |
44 | 9.80564·7 | 253 | 9.88594·2 | 175 | 10.11406 | 10.19435 | 9.91971 | 10.08029 | 16 |
45 | 9.80579·9 | 253 | 9.88583·7 | 175 | 10.11416 | 10.19420 | 9.91996 | 10.08004 | 15 |
46 | 9.80595·1 | 253 | 9.88573·2 | 175 | 10.11427 | 10.19405 | 9.92022 | 10.07978 | 14 |
47 | 9.80610·3 | 253 | 9.88562·7 | 175 | 10.11437 | 10.19390 | 9.92048 | 10.07952 | 13 |
48 | 9.80625·4 | 253 | 9.88552·2 | 175 | 10.11448 | 10.19375 | 9.92073 | 10.07927 | 12 |
49 | 9.80640·6 | 252 | 9.88541·6 | 175 | 10.11458 | 10.19359 | 9.92099 | 10.07901 | 11 |
50 | 9.80655·7 | 252 | 9.88531·1 | 176 | 10.11469 | 10.19344 | 9.92125 | 10.07875 | 10 |
51 | 9.80670·9 | 252 | 9.88520·5 | 176 | 10.11479 | 10.19329 | 9.92150 | 10.07850 | 9 |
52 | 9.80686·0 | 252 | 9.88510·0 | 176 | 10.11490 | 10.19314 | 9.92176 | 10.07824 | 8 |
53 | 9.80701·1 | 252 | 9.88499·4 | 176 | 10.11501 | 10.19299 | 9.92202 | 10.07798 | 7 |
54 | 9.80716·3 | 252 | 9.88488·9 | 176 | 10.11511 | 10.19284 | 9.92227 | 10.07773 | 6 |
55 | 9.80731·4 | 252 | 9.88478·3 | 176 | 10.11522 | 10.19269 | 9.92253 | 10.07741 | 5 |
56 | 9.80746·5 | 251 | 9.88467·7 | 176 | 10.11532 | 10.19254 | 9.92279 | 10.07721 | 4 |
57 | 9.80761·5 | 251 | 9.88457·2 | 176 | 10.11543 | 10.19238 | 9.92304 | 10.07696 | 3 |
58 | 9.80776·6 | 251 | 9.88446·6 | 176 | 10.11553 | 10.19223 | 9.92330 | 10.07670 | 2 |
59 | 9.80791·7 | 251 | 9.88436·0 | 176 | 10.11564 | 10.19208 | 9.92356 | 10.07644 | 1 |
60 | 9.80806·7 | 9.88425·4 | 10.11575 | 10.19193 | 9.92381 | 10.07619 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
50 Degrees. |
T 2
[page] 148
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
40 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.80806·7 | 251 | 9.88425·4 | 177 | 10.11575 | 10.19193 | 9.92381 | 10.07619 | 60 |
1 | 9.80821·8 | 251 | 9.88414·8 | 177 | 10.11585 | 10.19178 | 9.92407 | 10.07593 | 59 |
2 | 9.80836·8 | 251 | 9.88404·2 | 177 | 10.11596 | 10.19163 | 9.92433 | 10.07567 | 58 |
3 | 9.80851·9 | 250 | 9.88393·6 | 177 | 10.11606 | 10.19148 | 9.92458 | 10.07541 | 57 |
4 | 9.80866·9 | 250 | 9.88382·9 | 177 | 10.11617 | 10.19133 | 9.92484 | 10.07516 | 56 |
5 | 9.80881·9 | 250 | 9.88372·3 | 177 | 10.11628 | 10.19118 | 9.92510 | 10.07490 | 55 |
6 | 9.80896·9 | 250 | 9.88361·7 | 177 | 10.11638 | 10.19103 | 9.92535 | 10.07465 | 54 |
7 | 9.80911·9 | 250 | 9.88351·0 | 177 | 10.11649 | 10.19088 | 9.92561 | 10.07459 | 53 |
8 | 9.80926·9 | 250 | 9.88340·4 | 177 | 10.11660 | 10.19073 | 9.92587 | 10.07413 | 52 |
9 | 9.80941·9 | 249 | 9.88329·7 | 178 | 10.11670 | 10.19058 | 9.92612 | 10.07388 | 51 |
10 | 9.80956·9 | 249 | 9.88319·1 | 178 | 10.11681 | 10.19043 | 9.92638 | 10.07362 | 50 |
11 | 9.80971·8 | 249 | 9.88308·4 | 178 | 10.11692 | 10.19028 | 9.92663 | 10.07337 | 49 |
12 | 9.80986·8 | 249 | 9.88297·7 | 178 | 10.11702 | 10.19013 | 9.92689 | 10.07311 | 48 |
13 | 9.81001·7 | 249 | 9.88287·1 | 178 | 10.11713 | 10.18998 | 9.92715 | 10.07285 | 47 |
14 | 9.81016·7 | 249 | 9.88276·4 | 178 | 10.11724 | 10.18983 | 9.92740 | 10.07360 | 46 |
15 | 9.81031·6 | 248 | 9.88265·7 | 178 | 10.11734 | 10.18968 | 9.92766 | 10.07234 | 45 |
16 | 9.81046·5 | 248 | 9.88255·0 | 178 | 10.11745 | 10.18953 | 9.92792 | 10.07208 | 44 |
17 | 9.81061·4 | 248 | 9.88244·3 | 178 | 10.11756 | 10.18939 | 9.92817 | 10.07183 | 43 |
18 | 9.81076·3 | 248 | 9.88233·6 | 179 | 10.11766 | 10.18924 | 9.92843 | 10.07157 | 42 |
19 | 9.81091·2 | 248 | 9.88222·9 | 179 | 10.11777 | 10.18909 | 9.92868 | 10.07132 | 41 |
20 | 9.81106·1 | 248 | 9.88212·1 | 179 | 10.11788 | 10.18894 | 9.92894 | 10.07106 | 40 |
21 | 9.81121·0 | 248 | 9.88201·4 | 179 | 10.11799 | 10.18879 | 9.92920 | 10.07080 | 39 |
22 | 9.81135·8 | 247 | 9.88190·7 | 179 | 10.11809 | 10.18864 | 9.92945 | 10.07055 | 38 |
23 | 9.81150·7 | 247 | 9.88179·9 | 179 | 10.11820 | 10.18849 | 9.92971 | 10.07029 | 37 |
24 | 9.81165·5 | 247 | 9.88169·2 | 179 | 10.11831 | 10.18834 | 9.92996 | 10.07004 | 36 |
25 | 9.81180·4 | 247 | 9.88158·4 | 179 | 10.11842 | 10.18820 | 9.93022 | 10.06978 | 35 |
26 | 9.81195·2 | 247 | 9.88147·7 | 179 | 10.11852 | 10.18805 | 9.93048 | 10.06952 | 34 |
27 | 9.81210·0 | 247 | 9.88136·9 | 179 | 10.11863 | 10.18790 | 9.93073 | 10.06927 | 33 |
28 | 9.81224·8 | 247 | 9.88126·1 | 180 | 10.11874 | 10.18775 | 9.95099 | 10.06901 | 32 |
29 | 9.81239·6 | 246 | 9.88115·3 | 180 | 10.11885 | 10.18760 | 9.93124 | 10.06876 | 31 |
30 | 9.81254·4 | 246 | 9.88104·6 | 180 | 10.11895 | 10.18746 | 9.93150 | 10.06850 | 30 |
31 | 9.81269·2 | 246 | 9.88093·8 | 180 | 10.11906 | 10.18731 | 9.93175 | 10.06825 | 29 |
32 | 9.81284·0 | 246 | 9.88083·0 | 180 | 10.11917 | 10.18716 | 9.93301 | 10.06799 | 28 |
33 | 9.81298·8 | 246 | 9.88072·2 | 180 | 10.11928 | 10.18701 | 9.93227 | 10.06773 | 27 |
34 | 9.81313·5 | 246 | 9.88061·3 | 180 | 10.11939 | 10.18686 | 9.93253 | 10.06748 | 26 |
35 | 9.81328·3 | 246 | 9.88050·5 | 180 | 10.11949 | 10.18672 | 9.93278 | 10.06722 | 25 |
36 | 9.81343·0 | 245 | 9.88039·7 | 180 | 10.11960 | 10.18657 | 9.93303 | 10.06697 | 24 |
37 | 9.81357·8 | 245 | 9.88028·9 | 181 | 10.11971 | 10.18642 | 9.93329 | 10.06671 | 23 |
38 | 9.81372·5 | 245 | 9.88018·0 | 181 | 10.11982 | 10.18628 | 9.93354 | 10.06646 | 22 |
39 | 9.81387·2 | 245 | 9.88007·2 | 181 | 10.11993 | 10.18613 | 9.93380 | 10.06620 | 21 |
40 | 9.81401·9 | 245 | 9.87996·3 | 181 | 10.12004 | 10.18598 | 9.93406 | 10.06594 | 20 |
41 | 9.81416·6 | 245 | 9.87985·5 | 181 | 10.12015 | 10.18583 | 9.93431 | 10.06569 | 19 |
42 | 9.81431·3 | 245 | 9.87974·6 | 181 | 10.12025 | 10.18569 | 9.93457 | 10.06543 | 18 |
43 | 9.81446·0 | 244 | 9.87963·7 | 181 | 10.12036 | 10.18554 | 9.93482 | 10.06518 | 17 |
44 | 9.81460·7 | 244 | 9.87952·9 | 181 | 10.12047 | 10.18539 | 9.93508 | 10.06492 | 16 |
45 | 9.81475·3 | 244 | 9.87942·0 | 181 | 10.12058 | 10.18525 | 9.93533 | 10.06467 | 15 |
46 | 9.81490·0 | 244 | 9.87931·1 | 181 | 10.12069 | 10.18510 | 9.93559 | 10.06441 | 14 |
47 | 9.81504·6 | 244 | 9.87920·2 | 182 | 10.12080 | 10.18495 | 9.93584 | 10.06416 | 13 |
48 | 9.81519·3 | 244 | 9.87909·3 | 182 | 10.12091 | 10.18481 | 9.93610 | 10.06390 | 12 |
49 | 9.81533·9 | 244 | 9.87898·4 | 182 | 10.12102 | 10.18466 | 9.93636 | 10.06364 | 11 |
50 | 9.81548·5 | 243 | 9.87887·5 | 182 | 10.12113 | 10.18451 | 9.93661 | 10.06339 | 10 |
51 | 9.81563·2 | 243 | 9.87876·6 | 182 | 10.12123 | 10.18437 | 9.93687 | 10.06313 | 9 |
52 | 9.81577·8 | 243 | 9.87865·6 | 182 | 10.12134 | 10.18422 | 9.93712 | 10.06288 | 8 |
53 | 9.81592·4 | 243 | 9.87854·7 | 182 | 10.12145 | 10.18408 | 9.93738 | 10.06262 | 7 |
54 | 9.81606·9 | 243 | 9.87843·8 | 182 | 10.12156 | 10.18393 | 9.93763 | 10.06237 | 6 |
55 | 9.81621·5 | 243 | 9.87832·8 | 182 | 10.12167 | 10.18378 | 9.93789 | 10.06211 | 5 |
56 | 9.81636·1 | 243 | 9.87821·9 | 183 | 10.12178 | 10.18364 | 9.93814 | 10.06186 | 4 |
57 | 9.81650·7 | 242 | 9.87810·9 | 183 | 10.12189 | 10.18349 | 9.93840 | 10.06160 | 3 |
58 | 9.81665·2 | 242 | 9.87799·9 | 183 | 10.12200 | 10.18335 | 9.93865 | 10.06135 | 2 |
59 | 9.81679·8 | 242 | 9.87789·0 | 183 | 10.12311 | 10.18320 | 9.93891 | 10.06109 | 1 |
60 | 9.81694·3 | 9.87778·0 | 10.12222 | 10.18306 | 9.93916 | 10.06084 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
49 Degrees. |
[page] 149
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
41 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.81694·3 | 242 | 9.87778·0 | 183 | 10.12222 | 10.18306 | 9.93916 | 10.06084 | 60 |
1 | 9.81708·8 | 242 | 9.87767·0 | 183 | 10.12233 | 10.18291 | 9.93942 | 10.06058 | 59 |
2 | 9.81723·3 | 242 | 9.87756·0 | 183 | 10.12244 | 10.18277 | 9.93967 | 10.06033 | 58 |
3 | 9.81737·9 | 242 | 9.87745·0 | 183 | 10.12255 | 10.18262 | 9.93993 | 10.06007 | 57 |
4 | 9.81752·4 | 241 | 9.87734·0 | 183 | 10.12266 | 10.18248 | 9.94018 | 10.05982 | 56 |
5 | 9.81766·8 | 241 | 9.87723·0 | 184 | 10.12277 | 10.18233 | 9.94044 | 10.05956 | 55 |
6 | 9.81781·3 | 241 | 9.87712·0 | 184 | 10.12288 | 10.18219 | 9.94069 | 10.05931 | 54 |
7 | 9.81795·8 | 241 | 9.87701·0 | 184 | 10.12299 | 10.18204 | 9.94095 | 10.05905 | 53 |
8 | 9.81810·3 | 241 | 9.87689·9 | 184 | 10.12310 | 10.18190 | 9.94120 | 10.05880 | 52 |
9 | 9.81824·7 | 241 | 9.87678·9 | 184 | 10.12321 | 10.18175 | 9.94146 | 10.05854 | 51 |
10 | 9.81839·1 | 241 | 9.87667·8 | 184 | 10.12332 | 10.18161 | 9.94171 | 10.05829 | 50 |
11 | 9.81853·6 | 240 | 9.87656·8 | 184 | 10.12343 | 10.18146 | 9.94197 | 10.05803 | 49 |
12 | 9.81863·1 | 240 | 9.87645·7 | 184 | 10.12354 | 10.18132 | 9.94222 | 10.05778 | 48 |
13 | 9.81883·5 | 240 | 9.87634·7 | 184 | 10.12365 | 10.18118 | 9.94248 | 10.05752 | 47 |
14 | 9.81396·9 | 240 | 9.87623·6 | 185 | 10.12376 | 10.18103 | 9.94273 | 10.05727 | 46 |
15 | 9.81911·3 | 240 | 9.87612·5 | 185 | 10.12387 | 10.18089 | 9.94299 | 10.05701 | 45 |
16 | 9.81925·7 | 240 | 9.87601·4 | 185 | 10.12399 | 10.18074 | 9.94324 | 10.05676 | 44 |
17 | 9.81940·1 | 240 | 9.87590·4 | 185 | 10.12410 | 10.18060 | 9.94350 | 10.05650 | 43 |
18 | 9.81954·5 | 239 | 9.87579·3 | 185 | 10.12421 | 10.18045 | 9.94375 | 10.05625 | 42 |
19 | 9.81968·9 | 239 | 9.87568·2 | 185 | 10.12432 | 10.18031 | 9.94401 | 10.05599 | 41 |
20 | 9.81983·2 | 239 | 9.87557·1 | 185 | 10.12443 | 10.18017 | 9.94426 | 10.05574 | 40 |
21 | 9.81997·6 | 239 | 9.87545·9 | 185 | 10.12454 | 10.18002 | 9.94452 | 10.05548 | 39 |
22 | 9.82012·0 | 239 | 9.87534·8 | 185 | 10.12465 | 10.17988 | 9.94477 | 10.05523 | 38 |
23 | 9.82026·3 | 239 | 9.87523·7 | 185 | 10.12476 | 10.17974 | 9.94503 | 10.05497 | 37 |
24 | 9.82040·6 | 239 | 9.87512·6 | 186 | 10.12487 | 10.17959 | 9.94528 | 10.05472 | 36 |
25 | 9.82055·0 | 238 | 9.87501·4 | 186 | 10.12499 | 10.17945 | 9.94554 | 10.05446 | 35 |
26 | 9.82069·3 | 238 | 9.87490·3 | 186 | 10.12510 | 10.17931 | 9.94579 | 10.05421 | 34 |
27 | 9.82083·6 | 238 | 9.87479·1 | 186 | 10.12521 | 10.17916 | 9.94604 | 10.05396 | 33 |
28 | 9.82097·9 | 238 | 9.87468·0 | 186 | 10.12532 | 10.17902 | 9.94630 | 10.05370 | 32 |
29 | 9.82112·2 | 238 | 9.87456·8 | 186 | 10.12543 | 10.17888 | 9.94655 | 10.05345 | 31 |
30 | 9.82126·5 | 238 | 9.87445·6 | 186 | 10.12554 | 10.17874 | 9.94681 | 10.05319 | 30 |
31 | 9.82140·7 | 238 | 9.87434·4 | 186 | 10.12566 | 10.17859 | 9.94706 | 10.05294 | 29 |
32 | 9.82155·0 | 238 | 9.87423·2 | 186 | 10.12577 | 10.17845 | 9.94732 | 10.05268 | 28 |
33 | 9.82169·3 | 237 | 9.87412·1 | 187 | 10.12588 | 10.17831 | 9.94757 | 10.05243 | 27 |
34 | 9.82183·5 | 237 | 9.87400·9 | 187 | 10.12599 | 10.17816 | 9.94783 | 10.05217 | 26 |
35 | 9.82197·7 | 237 | 9.87389·6 | 187 | 10.12610 | 10.17802 | 9.94808 | 10.05192 | 25 |
36 | 9.82212·0 | 237 | 9.87378·4 | 187 | 10.12622 | 10.17788 | 9.94834 | 10.05166 | 24 |
37 | 9.82226·2 | 237 | 9.87367·2 | 187 | 10.12633 | 10.17774 | 9.94859 | 10.05141 | 23 |
38 | 9.82240·4 | 237 | 9.87356·0 | 187 | 10.12644 | 10.17760 | 9.94884 | 10.05116 | 22 |
39 | 9.82254·6 | 237 | 9.87344·8 | 187 | 10.12655 | 10.17745 | 9.94910 | 10.05090 | 21 |
40 | 9.82268·8 | 236 | 9.87333·5 | 187 | 10.12666 | 10.17731 | 9.94935 | 10.05065 | 20 |
41 | 9.82283·0 | 236 | 9.87322·3 | 187 | 10.12678 | 10.17717 | 9.94961 | 10.05039 | 19 |
42 | 9.82297·2 | 236 | 9.87311·0 | 188 | 10.12689 | 10.17703 | 9.94986 | 10.05014 | 18 |
43 | 9.82311·4 | 236 | 9.87299·8 | 188 | 10.12700 | 10.17689 | 9.95012 | 10.04988 | 17 |
44 | 9.82325·5 | 236 | 9.87288·5 | 188 | 10.12712 | 10.17674 | 9.95037 | 10.04963 | 16 |
45 | 9.82339·7 | 236 | 9.87277·2 | 188 | 10.12723 | 10.17660 | 9.95062 | 10.04938 | 15 |
46 | 9.82353·9 | 236 | 9.87265·9 | 188 | 10.12734 | 10.17646 | 9.95088 | 10.04912 | 14 |
47 | 9.82368·0 | 235 | 9.87254·7 | 188 | 10.12745 | 10.17632 | 9.95113 | 10.04887 | 13 |
48 | 9.82382·1 | 235 | 9.87243·4 | 188 | 10.12757 | 10.17618 | 9.95139 | 10.04861 | 12 |
49 | 9.82396·3 | 235 | 9.87232·1 | 188 | 10.12768 | 10.17604 | 9.95164 | 10.04836 | 11 |
50 | 9.82410·4 | 235 | 9.87220·8 | 188 | 10.12779 | 10.17590 | 9.95190 | 10.04810 | 10 |
51 | 9.82424·5 | 235 | 9.87209·5 | 189 | 10.12791 | 10.17576 | 9.95215 | 10.04785 | 9 |
52 | 9.82438·6 | 235 | 9.87198·1 | 189 | 10.12802 | 10.17561 | 9.95240 | 10.04760 | 8 |
53 | 9.82452·7 | 235 | 9.87186·8 | 189 | 10.12813 | 10.17547 | 9.95266 | 10.14734 | 7 |
54 | 9.82466·8 | 234 | 9.87175·5 | 189 | 10.12825 | 10.17533 | 9.95291 | 10.04709 | 6 |
55 | 9.82480·8 | 234 | 9.87164·1 | 189 | 10.12836 | 10.17519 | 9.95317 | 10.04683 | 5 |
56 | 9.82494·9 | 234 | 9.87152·8 | 189 | 10.12847 | 10.17505 | 9.95342 | 10.04658 | 4 |
57 | 9.82509·0 | 234 | 9.87141·4 | 189 | 10.12859 | 10.17491 | 9.95368 | 10.04632 | 3 |
58 | 9.82523·0 | 234 | 9.87130·1 | 189 | 10.12870 | 10.17477 | 9.95393 | 10.04607 | 2 |
59 | 9.82537·1 | 234 | 9.87118·7 | 189 | 10.12881 | 10.17463 | 9.95418 | 10.04582 | 1 |
60 | 9.82551·1 | 9.87107·3 | 10.12893 | 10.17449 | 9.95444 | 10.04556 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
48 Degrees. |
[page] 150
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
42 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.82551·1 | 234 | 9.87107·3 | 190 | 10.12893 | 10.17449 | 9.95444 | 10.04556 | 60 |
1 | 9.82565·1 | 233 | 9.87096·0 | 190 | 10.12904 | 10.17435 | 9.95469 | 10.04531 | 59 |
2 | 9.82579·1 | 233 | 9.87084·6 | 190 | 10.12915 | 10.17421 | 9.95495 | 10.04505 | 58 |
3 | 9.82593·1 | 233 | 9.87073·2 | 190 | 10.12927 | 10.17407 | 9.95520 | 10.04480 | 57 |
4 | 9.82607·1 | 233 | 9.87061·8 | 190 | 10.12938 | 10.17393 | 9.95545 | 10.04455 | 56 |
5 | 9.82621·1 | 233 | 9.87050·4 | 190 | 10.12950 | 10.17379 | 9.95571 | 10.04429 | 55 |
6 | 9.84635·1 | 233 | 9.87039·0 | 190 | 10.12961 | 10.17365 | 9.95596 | 10.04404 | 54 |
7 | 9.82649·1 | 233 | 9.87027·6 | 190 | 10.12972 | 10.17351 | 9.95622 | 10.04378 | 53 |
8 | 9.82663·1 | 233 | 9.87016·1 | 190 | 10.12984 | 10.17337 | 9.95647 | 10.04353 | 52 |
9 | 9.82677·0 | 232 | 9.87004·7 | 191 | 10.12995 | 10.17323 | 9.95672 | 10.04328 | 51 |
10 | 9.81691·0 | 232 | 9.86993·3 | 191 | 10.13007 | 10.17309 | 9.95698 | 10.04302 | 50 |
11 | 9.82704·9 | 232 | 9.86981·8 | 191 | 10.13018 | 10.17295 | 9.95723 | 10.04277 | 49 |
12 | 9.62718·9 | 232 | 9.86970·4 | 191 | 10.13030 | 10.17281 | 9.95748 | 10.04252 | 48 |
13 | 9.82732·8 | 232 | 9.86958·9 | 191 | 10.13041 | 10.17367 | 9.95774 | 10.04226 | 47 |
14 | 9.82746·7 | 232 | 9.86947·4 | 191 | 10.13053 | 10.17253 | 9.95799 | 10.04201 | 46 |
15 | 9.82760·6 | 232 | 9.86936·0 | 191 | 10.13064 | 10.17239 | 9.95825 | 10.04175 | 45 |
16 | 9.82774·5 | 231 | 9.86924·5 | 191 | 10.13076 | 10.17225 | 9.95850 | 10.04150 | 44 |
17 | 9.82788·4 | 231 | 9.86913·0 | 191 | 10.13087 | 10.17212 | 9.95875 | 10.04125 | 43 |
18 | 9.82802·3 | 231 | 9.86901·5 | 192 | 10.13098 | 10.17198 | 9.95901 | 10.04099 | 42 |
19 | 9.82816·2 | 231 | 9.86890·0 | 192 | 10.13110 | 10.17184 | 9.95926 | 10.04074 | 41 |
20 | 9.82830·1 | 231 | 9.86878·5 | 192 | 10.13121 | 10.17170 | 9.95952 | 10.04048 | 40 |
21 | 9.82843·9 | 231 | 9.86867·0 | 192 | 10.13133 | 10.17156 | 9.95977 | 10.04023 | 39 |
22 | 9.82857·8 | 231 | 9.86855·5 | 192 | 10.13145 | 10.17142 | 9.96002 | 10.03998 | 38 |
23 | 9.82871·6 | 231 | 9.86844·0 | 192 | 10.13156 | 10.17128 | 9.96028 | 10.03972 | 37 |
24 | 9.82885·5 | 230 | 9.86832·4 | 192 | 10.13168 | 10.17115 | 9.96053 | 10.03947 | 36 |
25 | 9.82899·3 | 230 | 9.86820·9 | 192 | 10.13179 | 10.17101 | 9.96078 | 10.03922 | 35 |
26 | 9.82913·1 | 230 | 9.86809·1 | 192 | 10.13191 | 10.17087 | 9.96104 | 10.03896 | 34 |
27 | 9.82926·9 | 230 | 9.86797·8 | 193 | 10.13202 | 10.17073 | 9.96129 | 10.03871 | 33 |
28 | 9.82940·7 | 230 | 9.86786·2 | 193 | 10.13214 | 10.17059 | 9.96155 | 10.03845 | 32 |
29 | 9.82954·5 | 230 | 9.86774·7 | 193 | 10.13225 | 10.17045 | 9.96180 | 10.03820 | 31 |
30 | 9.82968·3 | 230 | 9.86763·1 | 193 | 10.13237 | 10.17032 | 9.96205 | 10.03795 | 30 |
31 | 9.82982·1 | 229 | 9.86751·5 | 193 | 10.13248 | 10.17018 | 9.96231 | 10.03769 | 29 |
32 | 9.82995·9 | 229 | 9.86739·9 | 193 | 10.13260 | 10.17004 | 9.96256 | 10.03744 | 28 |
33 | 9.83009·7 | 229 | 9.86728·3 | 193 | 10.13272 | 10.16990 | 9.96281 | 10.03719 | 27 |
34 | 9.83023·4 | 229 | 9.86716·7 | 193 | 10.13283 | 10.16977 | 9.96307 | 10.03693 | 26 |
35 | 9.83037·2 | 229 | 9.86705·1 | 193 | 10.13295 | 10.16963 | 9.96332 | 10.03668 | 25 |
36 | 9.83050·9 | 229 | 9.86693·5 | 194 | 10.13306 | 10.16949 | 9.96357 | 10.03643 | 24 |
37 | 9.83064·6 | 229 | 9.86681·9 | 194 | 10.13318 | 10.16935 | 9.96383 | 10.03617 | 23 |
38 | 9.83078·4 | 229 | 9.86670·3 | 194 | 10.13330 | 10.16922 | 9.96408 | 10.03592 | 22 |
39 | 9.83092·1 | 228 | 9.86658·6 | 194 | 10.13341 | 10.16908 | 9.96433 | 10.03567 | 21 |
40 | 9.83105·8 | 228 | 9.86647·0 | 194 | 10.13353 | 10.16894 | 9.96459 | 10.03541 | 20 |
41 | 9.83119·5 | 228 | 9.86635·3 | 194 | 10.13365 | 10.16880 | 9.96484 | 10.03516 | 19 |
42 | 9.83133·2 | 228 | 9.86623·7 | 194 | 10.13376 | 10.16867 | 9.96510 | 10.03490 | 18 |
43 | 9.83146·9 | 228 | 9.86612·0 | 194 | 10.13388 | 10.16853 | 9.96535 | 10.03465 | 17 |
44 | 9.83160·6 | 228 | 9.86600·4 | 195 | 10.13400 | 10.16839 | 9.96560 | 10.03440 | 16 |
45 | 9.83174·2 | 228 | 9.86588·7 | 195 | 10.13411 | 10.16826 | 9.96586 | 10.03414 | 15 |
46 | 9.83187·9 | 228 | 9.86577·0 | 195 | 10.13423 | 10.16812 | 9.96611 | 10.03389 | 14 |
47 | 9.83201·5 | 227 | 9.86565·3 | 195 | 10.13435 | 10.16798 | 9.96636 | 10.03364 | 13 |
48 | 9.83215·2 | 227 | 9.86553·6 | 195 | 10.13446 | 10.16785 | 9.96662 | 10.03338 | 12 |
49 | 9.83228·8 | 227 | 9.86541·9 | 195 | 10.13458 | 10.16771 | 9.96687 | 10.03313 | 11 |
50 | 9.83242·5 | 227 | 9.86530·2 | 195 | 10.13470 | 10.16758 | 9.96712 | 10.03288 | 10 |
51 | 9.83256·1 | 227 | 9.86518·5 | 195 | 10.13482 | 10.16744 | 9.96738 | 10.03264 | 9 |
52 | 9.83269·7 | 227 | 9.86506·8 | 195 | 10.13493 | 10.16730 | 9.96763 | 10.03237 | 8 |
53 | 9.83283·3 | 227 | 9.86495·0 | 195 | 10.13505 | 10.16717 | 9.96788 | 10.03212 | 7 |
54 | 9.83296·9 | 226 | 9.86483·3 | 196 | 10.13517 | 10.16703 | 9.96814 | 10.03186 | 6 |
55 | 9.83310·5 | 226 | 9.86471·6 | 196 | 10.13528 | 10.16690 | 9.96839 | 10.03161 | 5 |
56 | 9.83324·1 | 226 | 9.86459·8 | 196 | 10.13540 | 10.16676 | 9.96864 | 10.03136 | 4 |
57 | 9.83337·7 | 226 | 9.86448·1 | 196 | 10.13552 | 10.16662 | 9.96890 | 10.03110 | 3 |
58 | 9.83351·2 | 226 | 9.86436·3 | 196 | 10.13564 | 10.16649 | 9.96915 | 10.03085 | 2 |
59 | 9.83364·8 | 226 | 9.86424·5 | 196 | 10.13575 | 10.16635 | 9.96940 | 10.03060 | 1 |
60 | 9.83378·3 | 9.86412·7 | 10.13587 | 10.16622 | 9.96966 | 10.03034 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
47 Degrees. |
[page] 151
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
43 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.83378·3 | 226 | 9.86412·7 | 196 | 10.13587 | 10.16622 | 9.96966 | 10.03034 | 60 |
1 | 9.83391·9 | 225 | 9.86401·0 | 197 | 10.13599 | 10.16608 | 9.96991 | 10.03009 | 59 |
2 | 9.83405·4 | 225 | 9.86389·2 | 197 | 10.13611 | 10.16595 | 9.97016 | 10.02984 | 58 |
3 | 9.83418·9 | 225 | 9.86377·4 | 197 | 10.13623 | 10.16581 | 9.97042 | 10.02958 | 57 |
4 | 9.83432·5 | 225 | 9.86365·6 | 197 | 10.13634 | 10.16568 | 9.97067 | 10.02933 | 56 |
5 | 9.83446·0 | 225 | 9.86353·8 | 197 | 10.13646 | 10.16554 | 9.97092 | 10.02908 | 55 |
6 | 9.83459·5 | 225 | 9.86341·9 | 197 | 10.13658 | 10.16541 | 9.97118 | 10.02882 | 54 |
7 | 9.83473·0 | 225 | 9.86330·1 | 197 | 10.13670 | 10.16527 | 9.97143 | 10.02857 | 53 |
8 | 9.83486·5 | 225 | 9.86318·3 | 197 | 10.13682 | 10.16514 | 9.97168 | 10.02832 | 52 |
9 | 9.83499·9 | 224 | 9.86306·4 | 198 | 10.13694 | 10.16500 | 9.97193 | 10.02807 | 51 |
10 | 9.83513·4 | 224 | 9.86294·6 | 198 | 10.13705 | 10.16487 | 9.97219 | 10.02781 | 50 |
11 | 9.83526·9 | 224 | 9.86282·7 | 198 | 10.13717 | 10.16473 | 9.97244 | 10.02756 | 49 |
12 | 9.83540·3 | 224 | 9.86270·9 | 198 | 10.13729 | 10.16460 | 9.97269 | 10.02731 | 48 |
13 | 9.83553·8 | 224 | 9.86259·0 | 198 | 10.13741 | 10.16446 | 9.97295 | 10.02705 | 47 |
14 | 9.83567·2 | 224 | 9.86247·1 | 198 | 10.13753 | 10.16433 | 9.97320 | 10.02680 | 46 |
15 | 9.83580·7 | 224 | 9.86235·3 | 198 | 10.13765 | 10.16419 | 9.97345 | 10.02655 | 45 |
16 | 9.83594·1 | 224 | 9.86223·4 | 198 | 10.13777 | 10.16406 | 9.97371 | 10.02629 | 44 |
17 | 9.83607·5 | 223 | 9.86211·5 | 198 | 10.13789 | 10.16392 | 9.97396 | 10.02604 | 43 |
18 | 9.83610·9 | 223 | 9.86199·6 | 198 | 10.13800 | 10.16379 | 9.97421 | 10.02579 | 42 |
19 | 9.83634·3 | 223 | 9.86187·7 | 198 | 10.13812 | 10.16366 | 9.97447 | 10.02553 | 41 |
20 | 9.83647·7 | 223 | 9.86175·8 | 199 | 10.13824 | 10.16352 | 9.97472 | 10.02528 | 40 |
21 | 9.83661·1 | 223 | 9.86163·8 | 199 | 10.13836 | 10.16339 | 9.97497 | 10.02503 | 39 |
22 | 9.83574·5 | 223 | 9.86151·9 | 199 | 10.13848 | 10.16326 | 9.97523 | 10.02477 | 38 |
23 | 9.83687·8 | 223 | 9.86140·0 | 199 | 10.13860 | 10.16312 | 9.97548 | 10.02452 | 37 |
24 | 9.83701·2 | 222 | 9.86128·0 | 199 | 10.13872 | 10.16299 | 9.97573 | 10.02427 | 36 |
25 | 9.83714·6 | 222 | 9.86116·1 | 199 | 10.13884 | 10.16285 | 9.97598 | 10.02402 | 35 |
26 | 9.13727·9 | 222 | 9.86104·1 | 199 | 10.13896 | 10.16272 | 9.97624 | 10.02376 | 34 |
27 | 9.83741·2 | 222 | 9.86092·2 | 199 | 10.13908 | 10.16259 | 9.97649 | 10.02351 | 33 |
28 | 9.83754·6 | 222 | 9.86080·2 | 199 | 10.13920 | 10.16245 | 9.97674 | 10.02326 | 32 |
29 | 9.83767·9 | 222 | 9.86068·2 | 200 | 10.13932 | 10.16232 | 9.97700 | 10.02300 | 31 |
30 | 9.83781·2 | 222 | 9.86056·2 | 200 | 10.13944 | 10.16219 | 9.97725 | 10.02275 | 30 |
31 | 9.83794·5 | 222 | 9.86044·2 | 200 | 10.13956 | 10.16205 | 9.97750 | 10.02250 | 29 |
32 | 9.83807·8 | 221 | 9.86032·2 | 200 | 10.13968 | 10.16192 | 9.97776 | 10.02224 | 28 |
33 | 9.83821·1 | 221 | 9.86020·2 | 200 | 10.13980 | 10.16179 | 9.97801 | 10.02199 | 27 |
34 | 9.83834·4 | 221 | 9.86008·2 | 200 | 10.13992 | 10.16166 | 9.97826 | 10.02174 | 26 |
35 | 9.83847·7 | 221 | 9.85996·2 | 200 | 10.14004 | 10.16152 | 9.97851 | 10.02149 | 25 |
36 | 9.83861·0 | 221 | 9.85984·2 | 200 | 10.14016 | 10.16139 | 9.97877 | 10.02123 | 24 |
37 | 9.83874·2 | 221 | 9.85972·1 | 201 | 10.14028 | 10.16126 | 9.97902 | 10.02098 | 23 |
38 | 9.83887·5 | 221 | 9.85960·1 | 201 | 10.14040 | 10.16113 | 9.97927 | 10.02073 | 22 |
39 | 9.83900·7 | 221 | 9.85948·0 | 201 | 10.14052 | 10.16099 | 9.97953 | 10.02047 | 21 |
40 | 9.83914·0 | 220 | 9.85936·0 | 201 | 10.14064 | 10.16086 | 9.97978 | 10.02022 | 20 |
41 | 9.83927·2 | 220 | 9.85923·9 | 201 | 10.14076 | 10.16073 | 9.98003 | 10.01997 | 19 |
42 | 9.83940·4 | 220 | 9.85911·9 | 201 | 10.14088 | 10.16060 | 9.98029 | 10.01971 | 18 |
43 | 9.83953·6 | 220 | 9.85899·8 | 201 | 10.14100 | 10.16046 | 9.98054 | 10.01946 | 17 |
44 | 9.83966·8 | 220 | 9.85887·7 | 201 | 10.14112 | 10.16033 | 9.98079 | 10.01921 | 16 |
45 | 9.83980·0 | 220 | 9.85875·6 | 202 | 10.14124 | 10.16020 | 9.98104 | 10.01896 | 15 |
46 | 9.83993·2 | 220 | 9.85863·5 | 202 | 10.14136 | 10.16007 | 9.98130 | 10.01870 | 14 |
47 | 9.84006·4 | 219 | 9.85851·4 | 202 | 10.14149 | 10.15994 | 9.98155 | 10.01845 | 13 |
48 | 9.84019·6 | 219 | 9.85839·3 | 202 | 10.14161 | 10.15980 | 9.98180 | 10.01820 | 12 |
49 | 9.84032·8 | 219 | 9.85827·2 | 202 | 10.14173 | 10.15967 | 9.98206 | 10.01794 | 11 |
50 | 9.84045·9 | 219 | 9.85815·1 | 202 | 10.14185 | 10.15954 | 9.98231 | 10.01769 | 10 |
51 | 9.84059·1 | 219 | 9.85802·9 | 202 | 10.14197 | 10.15941 | 9.98256 | 10.01744 | 9 |
52 | 9.84072·2 | 219 | 9.85790·8 | 202 | 10.14209 | 10.15928 | 9.98281 | 10.01719 | 8 |
53 | 9.84085·4 | 219 | 9.85778·6 | 202 | 10.14221 | 10.15915 | 9.98307 | 10.01693 | 7 |
54 | 9.84098·5 | 219 | 9.85766·5 | 203 | 10.14234 | 10.15902 | 9.98332 | 10.01668 | 6 |
55 | 9.84111·6 | 218 | 9.85754·3 | 203 | 10.14246 | 10.15888 | 9.98357 | 10.01643 | 5 |
56 | 9.84124·7 | 218 | 9.85742·2 | 203 | 10.14258 | 10.15875 | 9.98383 | 10.01617 | 4 |
57 | 9.84137·8 | 218 | 9.85730·0 | 203 | 10.14270 | 10.15862 | 9.98408 | 10.01592 | 3 |
58 | 9.84150·9 | 218 | 9.85717·8 | 203 | 10.14282 | 10.15849 | 9.98433 | 10.01567 | 2 |
59 | 9.84164·0 | 218 | 9.85705·6 | 203 | 10.14294 | 10.15836 | 9.98458 | 10.01542 | 1 |
60 | 9.84177·1 | 9.85693·4 | 10.14307 | 10.15823 | 9.98484 | 10.01516 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
46 Degrees. |
[page] 152
TABLE XIX. Logarithmic Sines, Tangents, and Secants. | |||||||||
44 Degrees. | |||||||||
M | Sine. | D.Ioo″ | Co-sine. | D. | Secant. | Co-secant. | Tangent. | Co-tang. | M |
0 | 9.84177·1 | 218 | 9.85693·4 | 203 | 10.14307 | 10.15823 | 9.98484 | 10.01516 | 60 |
1 | 9.84190·2 | 218 | 9.85681·2 | 203 | 10.14319 | 10.15810 | 9.98509 | 10.01491 | 59 |
2 | 9.84203·3 | 218 | 9.85669·0 | 204 | 10.14331 | 10.15797 | 9.98534 | 10.01466 | 58 |
3 | 9.84216·3 | 217 | 9.85656·8 | 204 | 10.14343 | 10.15784 | 9.98560 | 10.01440 | 57 |
4 | 9.84229·4 | 217 | 9.85644·6 | 204 | 10.14355 | 10.15771 | 9.98585 | 10.01415 | 56 |
5 | 9.84242·4 | 217 | 9.85632·3 | 204 | 10.14368 | 10.15758 | 9.98610 | 10.01390 | 55 |
6 | 9.84255·5 | 217 | 9.85620·1 | 204 | 10.14380 | 10.15745 | 9.98635 | 10.01365 | 54 |
7 | 9.84268·5 | 217 | 9.85607·8 | 204 | 10.14392 | 10.15731 | 9.98661 | 10.01339 | 53 |
8 | 9.84281·5 | 217 | 9.85595·6 | 204 | 10.14404 | 10.15718 | 9.98686 | 10.01314 | 52 |
9 | 9.84294·6 | 217 | 9.85583·3 | 204 | 10.14417 | 10.15705 | 9.98711 | 10.01289 | 51 |
10 | 9.84307·6 | 217 | 9.85571·1 | 205 | 10.14429 | 10.15692 | 9.98737 | 10.01263 | 50 |
11 | 9.84320·6 | 216 | 9.85558·8 | 205 | 10.14441 | 10.15679 | 9.98762 | 10.01238 | 49 |
12 | 9.84333·6 | 216 | 9.85546·5 | 205 | 10.14453 | 10.15666 | 9.98787 | 10.01213 | 48 |
13 | 9.84346·6 | 216 | 9.85534·2 | 205 | 10.14466 | 10.15653 | 9.98812 | 10.01188 | 47 |
14 | 9.84359·5 | 216 | 9.85521·9 | 205 | 10.14478 | 10.15640 | 9.98838 | 10.01162 | 46 |
15 | 9.84372·5 | 216 | 9.85509·6 | 205 | 10.14490 | 10.15627 | 9.98863 | 10.01137 | 45 |
16 | 9.84385·5 | 216 | 9.85497·3 | 205 | 10.14503 | 10.15615 | 9.98888 | 10.01112 | 44 |
17 | 9.84398·4 | 216 | 9.85485·0 | 205 | 10.14515 | 10.15602 | 9.98913 | 10.01087 | 43 |
18 | 9.84411·4 | 216 | 9.85472·7 | 206 | 10.14527 | 10.15589 | 9.98939 | 10.01061 | 42 |
19 | 9.84424·3 | 215 | 9.85460·3 | 206 | 10.14540 | 10.15576 | 9.98964 | 10.01036 | 41 |
20 | 9.84437·2 | 215 | 9.85448·0 | 206 | 10.14552 | 10.15563 | 9.98989 | 10.01011 | 40 |
21 | 9.84450·2 | 215 | 9.85435·6 | 206 | 10.14564 | 10.15550 | 9.99015 | 10.00985 | 39 |
22 | 9.84463·1 | 215 | 9.85423·3 | 206 | 10.14577 | 10.15537 | 9.99040 | 10.00960 | 38 |
23 | 9.84476·0 | 215 | 9.85410·9 | 206 | 10.14589 | 10.15524 | 9.99065 | 10.00935 | 37 |
24 | 9.84488·9 | 215 | 9.85398·6 | 206 | 10.14601 | 10.15511 | 9.99090 | 10.00910 | 36 |
25 | 9.84501·8 | 215 | 9.85386·2 | 206 | 10.14614 | 10.15498 | 9.99116 | 10.00884 | 35 |
26 | 9.84514·7 | 215 | 9.85373·8 | 206 | 10.14626 | 10.15485 | 9.99141 | 10.00859 | 34 |
27 | 9.84527·6 | 214 | 9.85361·4 | 207 | 10.14639 | 10.15472 | 9.99166 | 10.00834 | 33 |
28 | 9.84540·5 | 214 | 9.85349·0 | 207 | 10.14651 | 10.15460 | 9.99191 | 10.00809 | 32 |
29 | 9.84553·3 | 214 | 9.85336·6 | 207 | 10.14663 | 10.15447 | 9.99217 | 10.00783 | 31 |
30 | 9.84566·2 | 214 | 9.85324·2 | 207 | 10.14676 | 10.15434 | 9.99242 | 10.00758 | 30 |
31 | 9.84579·0 | 214 | 9.85311·8 | 207 | 10.14688 | 10.15421 | 9.99267 | 10.00733 | 29 |
32 | 9.84591·9 | 214 | 9.85299·4 | 207 | 10.14701 | 10.15408 | 9.99293 | 10.00707 | 28 |
33 | 9.84604·7 | 214 | 9.85286·9 | 207 | 10.14713 | 10.15395 | 9.99318 | 10.00682 | 27 |
34 | 9.84617·5 | 214 | 9.85274·5 | 207 | 10.14726 | 10.15382 | 9.99143 | 10.00657 | 26 |
35 | 9.84630·4 | 214 | 9.85262·0 | 207 | 10.14738 | 10.15370 | 9.99368 | 10.00634 | 25 |
36 | 9.84643·2 | 213 | 9.85249·6 | 208 | 10.14750 | 10.15357 | 9.99394 | 10.00606 | 24 |
37 | 9.84656·0 | 213 | 9.85237·1 | 208 | 10.14763 | 10.15344 | 9.99419 | 10.00581 | 23 |
38 | 9.84668·8 | 213 | 9.85224·7 | 208 | 10.14775 | 10.15331 | 9.99444 | 10.00556 | 22 |
39 | 9.84681·6 | 213 | 9.85212·2 | 208 | 10.14788 | 10.15318 | 9.99469 | 10.00531 | 21 |
40 | 9.84694·4 | 213 | 9.85199·7 | 208 | 10.14800 | 10.15306 | 9.99495 | 10.00505 | 20 |
41 | 9.84707·1 | 213 | 9.85187·2 | 208 | 10.14813 | 10.15293 | 9.99520 | 10.00480 | 19 |
42 | 9.84719·9 | 213 | 9.85174·7 | 208 | 10.14825 | 10.15280 | 9.99545 | 10.00455 | 18 |
43 | 9.84732·7 | 213 | 9.85162·2 | 208 | 10.14838 | 10.15267 | 9.99570 | 10.00430 | 17 |
44 | 9.84745·4 | 212 | 9.85149·7 | 209 | 10.48500 | 10.15255 | 9.99596 | 10.00404 | 16 |
45 | 9.84758·2 | 212 | 9.85137·2 | 209 | 10.14863 | 10.15242 | 9.99621 | 10.00379 | 15 |
46 | 9.84770·9 | 212 | 9.85124·6 | 209 | 10.14875 | 10.15229 | 9.99646 | 10.00354 | 14 |
47 | 9.84783·6 | 212 | 9.85112·1 | 209 | 10.14888 | 10.15216 | 9.99672 | 10.00328 | 13 |
48 | 9.84796·4 | 212 | 9.85099·6 | 209 | 10.14900 | 10.15204 | 9.99697 | 10.00303 | 12 |
49 | 9.84809·1 | 212 | 9.85087·0 | 209 | 10.14913 | 10.15191 | 9.99722 | 10.00278 | 11 |
50 | 9.84821·8 | 212 | 9.85074·5 | 209 | 10.14926 | 10.15178 | 9.99747 | 10.00253 | 10 |
51 | 9.84834·5 | 212 | 9.85061·9 | 209 | 10.14938 | 10.15165 | 9.99773 | 10.00227 | 9 |
52 | 9.84847·2 | 211 | 9.85049·3 | 210 | 10.14951 | 10.15153 | 9.99798 | 10.00202 | 8 |
53 | 9.84859·9 | 211 | 9.85036·8 | 210 | 10.14963 | 10.15140 | 9.99823 | 10.00177 | 7 |
54 | 9.84872·6 | 211 | 9.85024·2 | 210 | 10.14976 | 10.15127 | 9.99848 | 10.00152 | 6 |
55 | 9.84885·2 | 211 | 9.85011·6 | 210 | 10.14988 | 10.15115 | 9.99874 | 10.00126 | 5 |
56 | 9.84897·9 | 211 | 9.84999·0 | 210 | 10.15001 | 10.15102 | 9.99899 | 10.00101 | 4 |
57 | 9.84910·6 | 211 | 9.84986·4 | 210 | 10.15014 | 10.15089 | 9.99924 | 10.00076 | 3 |
58 | 9.84923·2 | 211 | 9.84973·8 | 210 | 10.15026 | 10.15077 | 9.99949 | 10.00051 | 2 |
59 | 9.84935·9 | 211 | 9.84961·1 | 210 | 10.15039 | 10.15064 | 9.99975 | 10.00025 | 1 |
60 | 9.84948·5 | 9.84948·5 | 10.15051 | 10.15051 | 10.00000 | 10.00000 | 0 | ||
M | Co-sine. | Sine. | Co-secant. | Secant. | Co-tang. | Tangent. | M | ||
45 Degrees. |
[page] 153
TABLE XX. For reducing the Time of the Moon's Paffage over the Meridian of Greenwich to the Time of its Paffage over any other Meridian. | ||||||||||||||||
Daily variation of the Moon's paffing the Meridian. | ||||||||||||||||
′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | |||
Ships Long. | 40 | 42 | 44 | 46 | 48 | 50 | 52 | 54 | 56 | 58 | 60 | 62 | 64 | 66 | Time fr. D's Sou. | |
° | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | h ′ | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | |
5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 20 | |
10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 0 40 | |
15 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 3 | 3 | 1 0 | |
20 | 2 | 2 | 3 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 4 | 1 20 | |
25 | 3 | 3 | 4 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 1 40 | |
30 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 2 0 | |
35 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 6 | 6 | 6 | 6 | 2 20 | |
40 | 4 | 4 | 5 | 5 | 5 | 5 | 6 | 6 | 6 | 6 | 6 | 7 | 7 | 7 | 2 40 | |
45 | 5 | 5 | 6 | 6 | 6 | 6 | 6 | 7 | 7 | 7 | 7 | 7 | 8 | 8 | 3 0 | |
50 | 5 | 6 | 6 | 6 | 6 | 7 | 7 | 7 | 7 | 8 | 8 | 8 | 9 | 9 | 3 20 | |
55 | 6 | 6 | 7 | 7 | 7 | 7 | 8 | 8 | 8 | 9 | 9 | 9 | 9 | 10 | 3 40 | |
60 | 6 | 7 | 7 | 7 | 8 | 8 | 8 | 9 | 9 | 9 | 10 | 10 | 10 | 11 | 4 0 | |
65 | 7 | 7 | 8 | 8 | 8 | 9 | 9 | 9 | 10 | 10 | 10 | 11 | 11 | 11 | 4 20 | |
70 | 7 | 8 | 8 | 9 | 9 | 9 | 10 | 10 | 10 | 11 | 11 | 12 | 12 | 12 | 4 40 | |
75 | 8 | 9 | 9 | 9 | 10 | 10 | 10 | 11 | 11 | 12 | 12 | 12 | 13 | 13 | 5 0 | |
80 | 9 | 9 | 9 | 10 | 10 | 11 | 11 | 12 | 12 | 12 | 13 | 13 | 14 | 14 | 5 20 | |
85 | 9 | 10 | 10 | 11 | 11 | 11 | 12 | 12 | 13 | 13 | 14 | 14 | 14 | 15 | 5 40 | |
90 | 10 | 10 | 11 | 11 | 12 | 12 | 13 | 13 | 13 | 14 | 14 | 15 | 15 | 16 | 6 0 | |
95 | 10 | 11 | 11 | 12 | 12 | 13 | 13 | 14 | 14 | 15 | 15 | 16 | 16 | 17 | 6 20 | |
100 | 11 | 11 | 12 | 12 | 13 | 13 | 14 | 14 | 15 | 15 | 16 | 17 | 17 | 18 | 6 40 | |
105 | 11 | 12 | 12 | 13 | 14 | 14 | 15 | 15 | 16 | 16 | 17 | 17 | 18 | 18 | 7 0 | |
110 | 12 | 12 | 13 | 14 | 14 | 15 | 15 | 16 | 16 | 17 | 18 | 18 | 19 | 19 | 7 20 | |
115 | 12 | 13 | 14 | 14 | 15 | 15 | 16 | 17 | 17 | 18 | 18 | 19 | 20 | 20 | 7 40 | |
120 | 13 | 14 | 14 | 15 | 15 | 16 | 17 | 17 | 18 | 19 | 19 | 20 | 20 | 21 | 8 0 | |
125 | 13 | 14 | 15 | 15 | 16 | 17 | 17 | 18 | 19 | 19 | 20 | 21 | 21 | 22 | 8 20 | |
130 | 14 | 15 | 15 | 16 | 17 | 17 | 18 | 19 | 19 | 20 | 21 | 21 | 22 | 23 | 8 40 | |
135 | 14 | 15 | 16 | 17 | 17 | 18 | 19 | 20 | 20 | 21 | 22 | 22 | 23 | 24 | 9 0 | |
140 | 15 | 16 | 17 | 17 | 18 | 19 | 20 | 20 | 21 | 22 | 22 | 23 | 24 | 25 | 9 20 | |
145 | 15 | 16 | 17 | 18 | 19 | 19 | 20 | 21 | 22 | 22 | 23 | 24 | 24 | 25 | 9 40 | |
150 | 16 | 17 | 18 | 19 | 19 | 20 | 21 | 22 | 22 | 23 | 24 | 25 | 26 | 26 | 10 0 | |
155 | 16 | 18 | 18 | 19 | 20 | 21 | 22 | 22 | 23 | 24 | 25 | 26 | 26 | 27 | 10 20 | |
160 | 17 | 18 | 19 | 20 | 21 | 21 | 22 | 23 | 24 | 25 | 26 | 26 | 27 | 28 | 10 40 | |
165 | 17 | 19 | 20 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 26 | 27 | 28 | 29 | 11 0 | |
170 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 25 | 26 | 27 | 28 | 29 | 30 | 11 20 | |
175 | 18 | 20 | 21 | 22 | 23 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 11 40 | |
180 | 19 | 20 | 21 | 22 | 24 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 12 0 |
U
[page] 154
TABLE XXI. For reducing the Moon's Declination, as given In the Nautieal Almanac for Noon and Midnight at Greenwich, to any other Time under that Meridian; or to Noon or Midnight under any other Meridian. | ||||||||||||||
Variarion of the Moon's Declination in Twelve Hours. | ||||||||||||||
° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ||
Ship's Long. | 0 5 | 0 10 | 0 15 | 0 20 | 0 25 | 0 30 | 0 35 | 0 40 | 0 45 | 0 50 | 0 55 | 1 0 | 1 5 | Time from Noon |
° | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | ′ | h ′ | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 0 |
3 | 0 | 0 | 0 | 0 | 0 | 0½ | 1 | 1 | 1 | 1 | 1 | 1 | 0 1 | 0 12 |
6 | 0 | 0 | 0½ | 1 | 1 | 1 | 1 | 1 | 1½ | 2 | 2 | 2 | 0 2 | 0 24 |
9 | 0 | 0½ | 1 | 1 | 1 | 1½ | 2 | 2 | 2 | 2½ | 3 | 3 | 0 3 | 0 36 |
12 | 0 | 1 | 1 | 1 | 2 | 2 | 2 | 3 | 3 | 3 | 4 | 4 | 0 4 | 0 48 |
15 | 0 | 1 | 1 | 2 | 2 | 2½ | 3 | 3 | 4 | 4 | 5 | 5 | 0 5 | 1 0 |
18 | 0½ | 1 | 1½ | 2 | 2½ | 3 | 3½ | 4 | 4½ | 5 | 5½ | 6 | 0 6½ | 1 12 |
21 | 1 | 1 | 2 | 2 | 3 | 3½ | 4 | 5 | 5 | 6 | 6 | 7 | 0 8 | 1 24 |
24 | 1 | 1 | 2 | 3 | 3 | 4 | 5 | 5 | 6 | 7 | 7 | 8 | 0 9 | 1 36 |
27 | 1 | 1½ | 2 | 3 | 4 | 4½ | 5 | 6 | 7 | 7½ | 8 | 9 | 0 10 | 1 48 |
30 | 1 | 2 | 2½ | 3 | 4 | 5 | 6 | 7 | 7½ | 8 | 9 | 10 | 0 11 | 2 0 |
33 | 1 | 2 | 3 | 4 | 5 | 5½ | 6 | 7 | 8 | 9 | 10 | 11 | 0 12 | 2 12 |
36 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 0 13 | 2 24 |
39 | 1 | 2 | 3 | 4 | 5 | 6½ | 8 | 9 | 10 | 11 | 12 | 13 | 0 14 | 2 36 |
42 | 1 | 2 | 3½ | 5 | 6 | 7 | 8 | 9 | 10½ | 12 | 13 | 14 | 0 15 | 2 48 |
45 | 1 | 2½ | 4 | 5 | 6 | 7½ | 9 | 10 | 11 | 12½ | 14 | 15 | 0 16 | 3 0 |
48 | 1 | 3 | 4 | 5 | 7 | 8 | 9 | 11 | 12 | 13 | 15 | 16 | 0 17 | 3 12 |
51 | 1 | 3 | 4 | 6 | 7 | 8½ | 10 | 11 | 13 | 14 | 16 | 17 | 0 18 | 3 24 |
54 | 1½ | 3 | 4½ | 6 | 7½ | 9 | 10½ | 12 | 13½ | 15 | 16½ | 18 | 0 19½ | 3 36 |
57 | 2 | 3 | 5 | 6 | 8 | 9½ | 11 | 13 | 14 | 16 | 17 | 19 | 0 21 | 3 48 |
60 | 2 | 3 | 5 | 7 | 8 | 10 | 12 | 13 | 15 | 17 | 18 | 20 | 0 22 | 4 0 |
63 | 2 | 3½ | 5 | 7 | 9 | 10½ | 12 | 14 | 16 | 17½ | 19 | 21 | 0 23 | 4 12 |
66 | 2 | 4 | 5½ | 7 | 9 | 11 | 13 | 15 | 16½ | 18 | 20 | 22 | 0 24 | 4 24 |
69 | 2 | 4 | 6 | 8 | 10 | 11½ | 13 | 15 | 17 | 19 | 21 | 23 | 0 25 | 4 36 |
72 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 0 26 | 4 48 |
75 | 2 | 4 | 6 | 8 | 10 | 12½ | 15 | 17 | 19 | 21 | 22½ | 25 | 0 27 | 5 0 |
78 | 2 | 4 | 6½ | 9 | 11 | 13 | 15 | 17 | 19½ | 22 | 23 | 26 | 0 28 | 5 12 |
81 | 2 | 4½ | 7 | 9 | 11 | 13½ | 16 | 18 | 20 | 22½ | 24 | 27 | 0 29 | 5 24 |
84 | 2 | 5 | 7 | 9 | 12 | 14 | 16 | 19 | 21 | 23 | 26 | 28 | 0 30 | 5 36 |
87 | 2 | 5 | 7 | 10 | 12 | 14½ | 17 | 19 | 22 | 24 | 27 | 29 | 0 31 | 5 48 |
90 | 2½ | 5 | 7½ | 10 | 12½ | 15 | 17½ | 20 | 22½ | 25 | 27½ | 30 | 0 32½ | 6 0 |
93 | 3 | 5 | 8 | 10 | 13 | 15½ | 18 | 21 | 23 | 26 | 28 | 31 | 0 34 | 6 12 |
96 | 3 | 5 | 8 | 11 | 13 | 16 | 19 | 21 | 24 | 27 | 29 | 32 | 0 35 | 6 24 |
99 | 3 | 5½ | 8 | 11 | 14 | 16½ | 19 | 22 | 25 | 27½ | 30 | 33 | 0 36 | 6 36 |
102 | 3 | 6 | 8½ | 11 | 14 | 17 | 20 | 23 | 25½ | 28 | 31 | 34 | 0 37 | 6 48 |
105 | 3 | 6 | 9 | 12 | 15 | 17½ | 20 | 23 | 26 | 29 | 32 | 35 | 0 38 | 7 0 |
108 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 | 0 39 | 7 12 |
111 | 3 | 6 | 9 | 12 | 15 | 18½ | 22 | 25 | 28 | 31 | 34 | 37 | 0 40 | 7 24 |
114 | 3 | 6 | 9½ | 13 | 16 | 19 | 22 | 25 | 28½ | 32 | 35 | 38 | 0 41 | 7 36 |
117 | 3 | 6½ | 10 | 13 | 16 | 19½ | 23 | 26 | 29 | 32½ | 36 | 39 | 0 42 | 7 48 |
120 | 3 | 7 | 10 | 13 | 17 | 20 | 23 | 27 | 30 | 33 | 37 | 40 | 0 43 | 8 0 |
123 | 3 | 7 | 10 | 14 | 17 | 20½ | 24 | 27 | 31 | 34 | 38 | 41 | 0 44 | 8 12 |
126 | 3½ | 7 | 10½ | 14 | 17½ | 21 | 24½ | 28 | 31½ | 35 | 38½ | 42 | 0 45½ | 8 24 |
129 | 4 | 7 | 11 | 14 | 18 | 21½ | 25 | 29 | 32 | 36 | 39 | 43 | 0 47 | 8 36 |
132 | 4 | 7 | 11 | 15 | 18 | 22 | 26 | 29 | 33 | 37 | 40 | 44 | 0 48 | 8 48 |
135 | 4 | 7½ | 11 | 15 | 19 | 22½ | 26 | 30 | 34 | 37½ | 41 | 45 | 0 49 | 9 0 |
138 | 4 | 8 | 11½ | 15 | 19 | 23 | 27 | 31 | 34½ | 38 | 42 | 46 | 0 50 | 9 12 |
141 | 4 | 8 | 12 | 16 | 20 | 23½ | 27 | 31 | 35 | 39 | 43 | 47 | 0 51 | 9 24 |
144 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 | 0 52 | 9 36 |
147 | 4 | 8 | 12 | 16 | 20 | 24½ | 29 | 33 | 37 | 41 | 45 | 49 | 0 53 | 9 48 |
150 | 4 | 8 | 12½ | 17 | 21 | 25 | 28 | 33 | 37½ | 42 | 46 | 50 | 0 54 | 10 0 |
153 | 4 | 8½ | 13 | 17 | 21 | 25½ | 30 | 34 | 38 | 42½ | 47 | 51 | 0 55 | 10 12 |
156 | 4 | 9 | 13 | 17 | 22 | 26 | 30 | 35 | 39 | 43 | 48 | 52 | 0 56 | 10 24 |
159 | 4 | 9 | 13 | 18 | 22 | 26½ | 31 | 35 | 40 | 44 | 49 | 53 | 0 57 | 10 36 |
162 | 4½ | 9 | 13½ | 18 | 22½ | 27 | 31½ | 36 | 40½ | 45 | 49½ | 54 | 0 58½ | 10 48 |
165 | 5 | 9 | 14 | 18 | 23 | 27½ | 32 | 37 | 41 | 46 | 50 | 55 | 1 0 | 11 0 |
168 | 5 | 9 | 14 | 19 | 23 | 28 | 33 | 37 | 42 | 47 | 51 | 56 | 1 1 | 11 12 |
171 | 5 | 9½ | 14 | 19 | 24 | 28½ | 33 | 38 | 43 | 47½ | 52 | 57 | 1 2 | 11 24 |
174 | 5 | 10 | 14½ | 19 | 24 | 29 | 34 | 39 | 43½ | 48 | 53 | 58 | 1 3 | 11 36 |
177 | 5 | 10 | 15 | 20 | 25 | 29½ | 34 | 39 | 44 | 49 | 54 | 59 | 1 4 | 11 48 |
180 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 55 | 54 | 60 | 1 5 | 12 0 |
[page] 155
TABLE XXI. For reducing the Moon's Declination, as given in the Nautical Almanac for Noon and Midnight at Greenwich, to any other Time under that Meridian; or to Nooa or Midnight under any other Meridian. | ||||||||||||||||
Variation of the Moon's Declination in Twelve Hours. | ||||||||||||||||
° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | |||||||
Ship's Long. | 1 10 | 1 15 | 1 20 | 1 25 | 1 30 | 1 35 | 1 40 | 1 45 | 1 50 | 1 55 | Time from Noon. | |||||
° | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | h ′ | ||||||
0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | |||||
3 | 0 1 | 0 1 | 0 1 | 0 1 | 0 1½ | 0 2 | 0 2 | 0 2 | 0 2 | 0 2 | 0 12 | |||||
6 | 0 2 | 0 2½ | 0 3 | 0 3 | 0 3 | 0 3 | 0 3 | 0 3½ | 0 4 | 0 4 | 0 24 | |||||
9 | 0 3½ | 0 4 | 0 4 | 0 4 | 0 4½ | 0 5 | 0 5 | 0 5 | 0 5½ | 0 6 | 0 36 | |||||
12 | 0 5 | 0 5 | 0 5 | 0 6 | 0 6 | 0 6 | 0 7 | 0 7 | 0 7 | 0 8 | 0 48 | |||||
15 | 0 6 | 0 6 | 0 7 | 0 7 | 0 7½ | 0 8 | 0 8 | 0 9 | 0 9 | 0 10 | 1 0 | |||||
18 | 0 7 | 0 7½ | 0 8 | 0 8½ | 0 9 | 0 9½ | 0 10 | 0 10½ | 0 11 | 0 11½ | 1 12 | |||||
21 | 0 8 | 0 9 | 0 9 | 0 10 | 0 10½ | 0 11 | 0 12 | 0 12 | 0 13 | 0 13 | 1 24 | |||||
24 | 0 9 | 0 10 | 0 11 | 0 11 | 0 12 | 0 13 | 0 13 | 0 14 | 0 15 | 0 15 | 1 36 | |||||
27 | 0 10½ | 0 11 | 0 12 | 0 13 | 0 13½ | 0 14 | 0 15 | 0 16 | 0 16½ | 0 17 | 1 48 | |||||
30 | 0 12 | 0 12½ | 0 13 | 0 14 | 0 15 | 0 16 | 0 17 | 0 17½ | 0 18 | 0 19 | 2 0 | |||||
33 | 0 13 | 0 14 | 0 15 | 0 16 | 0 16½ | 0 17 | 0 18 | 0 19 | 0 20 | 0 21 | 2 12 | |||||
36 | 0 14 | 0 15 | 0 16 | 0 17 | 0 18 | 0 19 | 0.2 | 0 21 | 0 22 | 0 23 | 2 24 | |||||
39 | 0 15 | 0 16 | 0 17 | 0 18 | 0 19½ | 0 21 | 0 22 | 0 23 | 0 24 | 0 25 | 2 36 | |||||
42 | 0 16 | 0 17½ | 0 19 | 0 20 | 0 21 | 0 22 | 0 23 | 0 24½ | 0 26 | 0 27 | 2 48 | |||||
45 | 0 17½ | 0 19 | 0 20 | 0 21 | 0 22½ | 0 24 | 0 25 | 0 26 | 0 27½ | 0 29 | 3 0 | |||||
48 | 0 19 | 0 20 | 0 21 | 0 23 | 0 24 | 0 25 | 0 27 | 0 28 | 0 29 | 0 31 | 3 12 | |||||
51 | 0 20 | 0 21 | 9 23 | 0 24 | 0 25½ | 0 27 | 0 28 | 0 30 | 0 31 | 0 33 | 3 24 | |||||
54 | 0 21 | 0 22½ | 0 24 | 0 25½ | 0 27 | 0 28½ | 0 30 | 0 31½ | 0 33 | 0 34½ | 3 36 | |||||
57 | 0 22 | 0 24 | 0 25 | 0 27 | 0 28½ | 0 30 | 0 32 | 0 33 | 0 35 | 0 36 | 3 48 | |||||
60 | 0 23 | 0 25 | 0 27 | 0 28 | 0 30 | 0 32 | 0 33 | 0 35 | 0 37 | 0 38 | 4 0 | |||||
63 | 0 24½ | 0 26 | 0 28 | 0 30 | 0 31½ | 0 33 | 0 35 | 0 37 | 0 38½ | 0 40 | 4 12 | |||||
66 | 0 26 | 0 27½ | 0 29 | 0 31 | 0 33 | 0 35 | 0 37 | 0 38½ | 0 40 | 0 42 | 4 24 | |||||
69 | 0 27 | 0 29 | 0 31 | 0 33 | 0 34½ | 0 36 | 0 38 | 0 40 | 0 42 | 0 44 | 4 36 | |||||
72 | 0 28 | 0 30 | 0 32 | 0 34 | 0 36 | 0 38 | 0 40 | 0 42 | 0 44 | 0 46 | 4 48 | |||||
75 | 0 29 | 0 31 | 0 33 | 0 35 | 0 37½ | 0 40 | 0 42 | 0 44 | 0 46 | 0 48 | 5 0 | |||||
78 | 0 30 | 0 32½ | 0 35 | 0 37 | 0 39 | 0 41 | 0 43 | 0 45½ | 0 48 | 0 50 | 5 12 | |||||
81 | 0 31½ | 0 34 | 0 36 | 0 38 | 0 40½ | 0 43 | 0 45 | 0 47 | 0 49½ | 0 52 | 5 24 | |||||
84 | 0 33 | 0 35 | 0 37 | 0 40 | 0 42 | 0 44 | 0 47 | 0 49 | 0 51 | 0 54 | 5 36 | |||||
87 | 0 34 | 0 36 | 0 49 | 0 41 | 0 43½ | 0 46 | 0 48 | 0 51 | 0 53 | 0 56 | 5 48 | |||||
90 | 0 35 | 0 37½ | 0 40 | 0 42½ | 0 45 | 0 47½ | 0 50 | 0 52½ | 0 55 | 0 57½ | 6 0 | |||||
93 | 9 36 | 0 39 | 0 41 | 0 44 | 0 46½ | 0 49 | 0 52 | 0 54 | 0 57 | 0 59 | 6 12 | |||||
96 | 0 37 | 0 40 | 0 43 | 0 45 | 0 48 | 0 51 | 0 53 | 0 56 | 0 59 | 1 1 | 6 24 | |||||
99 | 0 38½ | 0 41 | 0 44 | 0 47 | 0 49½ | 0 52 | 0 55 | 0 58 | 1 0½ | 1 3 | 6 36 | |||||
102 | 0 40 | 0 42½ | 0 45 | 0 48 | 0 51 | 0 54 | 0 57 | 0 59½ | 1 2 | 1 5 | 6 48 | |||||
105 | 0 41 | 0 44 | 0 47 | 0 50 | 0 52½ | 0 55 | 0 58 | 1 1 | 1 4 | 1 7 | 7 0 | |||||
108 | 0 42 | 0 45 | 0 48 | 0 51 | 0 54 | 0 57 | 1 0 | 1 3 | 1 6 | 1 9 | 7 12 | |||||
111 | 0 43 | 0 46 | 0 49 | 0 52 | 0 55½ | 0 59 | 1 2 | 1 5 | 1 8 | 1 11 | 7 24 | |||||
114 | 0 44 | 0 47½ | 0 51 | 0 54 | 0 57 | 1 0 | 1 3 | 1 6 | 1 10 | 1 13 | 7 36 | |||||
117 | 0 45½ | 0 49 | 0 52 | 0 55 | 0 58½ | 1 2 | 1 5 | 1 8 | 1 11½ | 1 15 | 7 48 | |||||
120 | 0 47 | 0 50 | 0 53 | 0 57 | 1 0 | 1 3 | 1 7 | 1 10 | 1 13 | 1 17 | 8 0 | |||||
123 | 0 48 | 0 51 | 0 55 | 0 58 | 1 1½ | 1 5 | 1 8 | 1 12 | 1 15 | 1 19 | 8 12 | |||||
126 | 0 49 | 0 52½ | 0 56 | 0 59½ | 1 3 | 1 6½ | 1 10 | 1 13½ | 1 17 | 1 20½ | 8 24 | |||||
129 | 0 50 | 0 54 | 0 57 | 1 1 | 1 4½ | 1 8 | 1 12 | 1 15 | 1 19 | 1 22 | 8 36 | |||||
132 | 0 51 | 0 55 | 0 59 | 1 2 | 1 6 | 1 10 | 1 13 | 1 17 | 1 21 | 1 24 | 8 48 | |||||
135 | 0 52½ | 0 56 | 1 0 | 1 4 | 1 7½ | 1 11 | 1 15 | 1 19 | 1 22½ | 1 26 | 9 0 | |||||
138 | 0 54 | 0 57½ | 1 1 | 1 5 | 1 9 | 11 13 | 1 17 | 1 20½ | 1 24 | 1 28 | 9 12 | |||||
141 | 0 55 | 0 59 | 1 3 | 1 7 | 1 10½ | 1 14 | 1 18 | 1 22 | 1 26 | 1 30 | 9 24 | |||||
144 | 0 56 | 1 0 | 1 4 | 1 8 | 1 12 | 1 16 | 1 20 | 1 24 | 1 28 | 1 30 | 9 36 | |||||
147 | 0 57 | 1 1 | 1 5 | 1 9 | 1 13½ | 1 18 | 1 22 | 1 26 | 1 30 | 1 32 | 9 48 | |||||
150 | 0 58 | 1 2½ | 1 7 | 1 11 | 1 15 | 1 19 | 1 23 | 1 27½ | 1 32 | 1 34 | 10 0 | |||||
153 | 0 59½ | 1 4 | 1 8 | 1 12 | 1 16½ | 1 21 | 1 25 | 1 29 | 1 33½ | 1 36 | 10 12 | |||||
156 | 1 1 | 1 5 | 1 9 | 1 14 | 1 18 | 1 22 | 1 27 | 1 31 | 1 35 | 1 38 | 10 24 | |||||
159 | 1 2 | 1 6 | 1 11 | 1 15 | 1 19½ | 1 24 | 1 28 | 1 33 | 1 37 | 1 40 | 10 36 | |||||
162 | 1 3 | 1 7½ | 1 12 | 1 16½ | 1 21 | 1 25 | 1 30 | 1 34½ | 1 39 | 1 41 | 10 48 | |||||
165 | 1 4 | 1 9 | 1 13 | 1 18 | 1 22½ | 1 27 | 1 32 | 1 36 | 1 41 | 1 43½ | 11 0 | |||||
168 | 1 5 | 1 10 | 1 15 | 1 19 | 1 24 | 1 29 | 1 33 | 1 38 | 1 43 | 1 45 | 11 12 | |||||
171 | 1 6½ | 1 11 | 1 16 | 1 21 | 1 25½ | 1 30 | 1 35 | 1 40 | 1 44½ | 1 47 | 11 24 | |||||
174 | 1 8 | 1 12½ | 1 17 | 1 22 | 1 27 | 1 32 | 1 37 | 1 41½ | 1 46 | 1 51 | 11 36 | |||||
177 | 1 9 | 1 14 | 1 19 | 1 24 | 1 28½ | 1 33 | 1 38 | 1 43 | 1 48 | 1 53 | 11 48 | |||||
180 | 1 10 | 1 15 | 1 20 | 1 25 | 1 30 | 1 35 | 1 40 | 1 45 | 1 50 | 1 55 | 12 0 |
U 2
[page] 156
TABLE XXI. For reducing the Moon's Declination, as given in the Nautical Almanac for Noon and Midnight at Greenwich, to any other Time under that Meridian; or to Noon or Midnight under any other Meridian. | ||||||||||||||||
Variation of the Moon's Declination in Twelve Hours. | ||||||||||||||||
° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ||||||
Ship's Long. | 2 0 | 2 5 | 2 10 | 2 15 | 2 20 | 2 25 | 2 30 | 2 35 | 2 40 | 2 45 | 2 50 | Time from Noon. | ||||
° | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | ° ′ | h ′ | ||||
0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | 0 0 | |||||
3 | 0 2 | 0 2 | 0 2 | 0 2 | 0 2 | 0 2 | 0 2½ | 0 0 | 0 3 | 0 3 | 0 3 | 0 12 | ||||
6 | 0 4 | 0 4 | 0 4 | 0 4½ | 0 5 | 0 5 | 0 5 | 0 3 | 0 5 | 0 5½ | 0 6 | 0 24 | ||||
9 | 0 6 | 0 6 | 0 6½ | 0 7 | 0 7 | 0 7 | 0 7½ | 0 5 | 0 8 | 0 8 | 0 8½ | 0 36 | ||||
12 | 0 8 | 0 8 | 0 9 | 0 9 | 0 9 | 0 10 | 0 10 | 0 8 | 0 11 | 0 11 | 0 11 | 0 48 | ||||
15 | 0 10 | 0 10 | 0 11 | 0 11 | 0 12 | 0 12 | 0 12½ | 0 10 | 0 13 | 0 14 | 0 14 | 1 0 | ||||
18 | 0 12 | 0 12½ | 0 13 | 0 13½ | 0 14 | 0 14½ | 0 15 | 0 13 | 0 16 | 0 16½ | 0 17 | 1 12 | ||||
21 | 0 14 | 0 15 | 0 15 | 0 16 | 0 16 | 0 17 | 0 17½ | 0 15½ | 0 19 | 0 19 | 0 20 | 1 24 | ||||
24 | 0 16 | 0 17 | 0 17 | 0 18 | 0 19 | 0 19 | 0 20 | 0 18 | 0 21 | 0 22 | 0 23 | 1 36 | ||||
27 | 0 18 | 0 19 | 0 19½ | 0 20 | 0 21 | 0 22 | 0 22½ | 0 21 | 0 24 | 0 25 | 0 25½ | 1 48 | ||||
30 | 0 20 | 0 21 | 0 22 | 0 22½ | 0 23 | 0 24 | 0 25 | 0 23 | 0 27 | 0 27½ | 0 28 | 2 0 | ||||
33 | 0 22 | 0 23 | 0 24 | 0 25 | 0 26 | 0 27 | 0 27½ | 0 26 | 0 29 | 0 30 | 0 31 | 2 12 | ||||
36 | 0 24 | 0 25 | 0 26 | 0 27 | 0 28 | 0 29 | 0 30 | 0 28 | 0 32 | 0 33 | 0 34 | 2 24 | ||||
39 | 0 26 | 0 27 | 0 28 | 0 29 | 0 30 | 0 31 | 0 32½ | 0 31 | 0 35 | 0 36 | 0 37 | 2 36 | ||||
42 | 0 28 | 0 29 | 0 30 | 0 31½ | 0 33 | 0 34 | 0 35 | 0 34 | 0 37 | 0 38½ | 0 40 | 2 48 | ||||
45 | 0 30 | 0 31 | 0 32½ | 0 34 | 0 35 | 0 36 | 0 37½ | 0 36 | 0 40 | 0 41 | 0 42½ | 3 0 | ||||
48 | 0 32 | 0 33 | 0 35 | 0 36 | 0 37 | 0 39 | 0 40 | 0 39 | 0 43 | 0 44 | 0 45 | 3 12 | ||||
51 | 0 34 | 0 35 | 0 37 | 0 38 | 0 40 | 0 41 | 0 42½ | 0 41 | 0 45 | 0 47 | 0 48 | 3 24 | ||||
54 | 0 36 | 0 37½ | 0 39 | 0 40½ | 0 42 | 0 43½ | 0 45 | 0 44 | 0 48 | 0 49½ | 0 51 | 3 36 | ||||
57 | 0 38 | 0 40 | 0 41 | 0 43 | 0 44 | 0 46 | 0 47½ | 0 46½ | 0 51 | 0 52 | 0 54 | 3 48 | ||||
60 | 0 40 | 0 42 | 0 43 | 0 45 | 0 47 | 0 48 | 0 50 | 0 49 | 0 53 | 0 55 | 0 57 | 4 0 | ||||
63 | 0 42 | 0 44 | 0 45½ | 0 47 | 0 49 | 0 51 | 0 52½ | 0 52 | 0 56 | 0 58 | 0 59½ | 4 12 | ||||
66 | 0 44 | 0 46 | 0 48 | 0 49½ | 0 51 | 0 53 | 0 55 | 0 54 | 0 59 | 1 0½ | 1 2 | 4 24 | ||||
69 | 0 46 | 0 48 | 0 50 | 0 52 | 0 54 | 0 56 | 0 57½ | 0 57 | 1 1 | 1 3 | 1 5 | 4 36 | ||||
72 | 0 48 | 0 50 | 0 52 | 0 54 | 0 56 | 0 58 | 1 0 | 0 59 | 1 4 | 1 6 | 1 8 | 4 48 | ||||
75 | 0 50 | 0 52 | 0 54 | 0 56 | 0 58 | 1 0 | 1 2½ | 1 2 | 1 7 | 1 9 | 1 11 | 5 0 | ||||
78 | 0 52 | 0 54 | 0 56 | 0 58½ | 1 1 | 1 3 | 1 5 | 1 5 | 1 9 | 1 11½ | 1 14 | 5 12 | ||||
81 | 0 54 | 0 56 | 0 58½ | 1 1 | 1 3 | 1 5 | 1 7½ | 1 7 | 1 12 | 1 14 | 1 16½ | 5 24 | ||||
84 | 0 56 | 0 58 | 1 1 | 1 3 | 1 5 | 1 8 | 1 10 | 1 10 | 1 15 | 1 17 | 1 19 | 5 36 | ||||
87 | 0 58 | 1 0 | 1 3 | 1 5 | 1 8 | 1 10 | 1 12½ | 1 12 | 1 17 | 1 20 | 1 22 | 5 48 | ||||
90 | 1 0 | 1 2½ | 1 5 | 1 7½ | 1 10 | 1 12½ | 1 15 | 1 15 | 1 20 | 1 22½ | 1 25 | 6 0 | ||||
93 | 1 2 | 1 5 | 1 7 | 1 10 | 1 12 | 1 15 | 1 17½ | 1 17½ | 1 23 | 1 25 | 1 28 | 6 12 | ||||
96 | 1 4 | 1 7 | 1 9 | 1 12 | 1 15 | 1 17 | 1 20 | 1 20 | 1 25 | 1 28 | 1 31 | 6 24 | ||||
99 | 1 6 | 1 9 | 1 11½ | 1 14 | 1 17 | 1 20 | 1 22½ | 1 23 | 1 28 | 1 31 | 1 33½ | 6 36 | ||||
102 | 1 8 | 1 11 | 1 14 | 1 16½ | 1 19 | 1 22 | 1 25 | 1 25 | 1 31 | 1 33½ | 1 36 | 6 48 | ||||
105 | 1 10 | 1 13 | 1 16 | 1 19 | 1 22 | 1 25 | 1 27½ | 1 28 | 1 33 | 1 36 | 1 39 | 7 0 | ||||
108 | 1 12 | 1 15 | 1 18 | 1 21 | 1 24 | 1 27 | 1 30 | 1 30 | 1 36 | 1 39 | 1 41 | 7 12 | ||||
111 | 1 14 | 1 17 | 1 20 | 1 23 | 1 26 | 1 29 | 1 32½ | 1 33 | 1 39 | 1 42 | 1 45 | 7 24 | ||||
114 | 1 16 | 1 19 | 1 22 | 1 25½ | 1 29 | 1 32 | 1 35 | 1 36 | 1 41 | 1 44½ | 1 48 | 7 36 | ||||
117 | 1 18 | 1 21 | 1 24½ | 1 28 | 1 31 | 1 34 | 1 37½ | 1 38 | 1 44 | 1 47 | 1 50½ | 7 48 | ||||
120 | 1 20 | 1 23 | 1 27 | 1 30 | 1 33 | 1 37 | 1 40 | 1 41 | 1 47 | 1 50 | 1 53 | 8 0 | ||||
123 | 1 22 | 1 25 | 1 29 | 1 32 | 1 36 | 1 39 | 1 42½ | 1 43 | 1 49 | 1 53 | 1 56 | 8 12 | ||||
126 | 1 24 | 1 27½ | 1 31 | 1 34½ | 1 38 | 1 41½ | 1 45 | 1 46 | 1 52 | 1 55½ | 1 59 | 8 24 | ||||
129 | 1 26 | 1 30 | 1 33 | 1 37 | 1 40 | 1 44 | 1 47½ | 1 48½ | 1 55 | 1 58 | 2 2 | 8 36 | ||||
132 | 1 28 | 1 32 | 1 35 | 1 39 | 1 43 | 1 46 | 1 50 | 1 51 | 1 57 | 2 0 | 2 5 | 8 48 | ||||
135 | 1 30 | 1 34 | 1 37½ | 1 41 | 1 45 | 1 49 | 1 52½ | 1 54 | 2 0 | 2 4 | 2 7½ | 9 0 | ||||
138 | 1 32 | 1 36 | 1 40 | 1 43½ | 1 47 | 1 51 | 1 55 | 1 56 | 2 3 | 2 6½ | 2 10 | 9 12 | ||||
141 | 1 34 | 1 38 | 1 42 | 1 46 | 1 50 | 1 54 | 1 57½ | 1 59 | 2 5 | 2 9 | 2 13 | 9 24 | ||||
144 | 1 36 | 1 40 | 1 44 | 1 48 | 1 52 | 1 56 | 2 0 | 2 1 | 2 8 | 2 12 | 2 16 | 9 36 | ||||
147 | 1 38 | 1 42 | 1 46 | 1 50 | 1 54 | 1 58 | 2 2½ | 2 4 | 2 11 | 2 15 | 2 19 | 9 48 | ||||
150 | 1 40 | 1 44 | 1 48 | 1 52½ | 1 57 | 2 1 | 2 5 | 2 7 | 2 13 | 2 17½ | 2 22 | 10 0 | ||||
153 | 1 42 | 1 46 | 1 50½ | 1 55 | 1 59 | 2 3 | 2 7½ | 2 9 | 2 16 | 2 20 | 2 25 | 10 12 | ||||
156 | 1 44 | 1 48 | 1 53 | 1 57 | 2 1 | 2 6 | 2 10 | 2 12 | 2 19 | 2 23 | 2 27½ | 10 24 | ||||
159 | 1 46 | 1 50 | 1 55 | 1 59 | 2 4 | 2 8 | 2 12½ | 2 14 | 2 21 | 2 26 | 2 30 | 10 36 | ||||
162 | 1 48 | 1 52½ | 1 57 | 2 1½ | 2 6 | 2 10½ | 2 15 | 2 17 | 2 24 | 2 28½ | 2 33 | 10 48 | ||||
165 | 1 50 | 1 55 | 1 59 | 2 4 | 2 8 | 2 13 | 2 17½ | 2 19½ | 2 27 | 2 31 | 2 36 | 11 0 | ||||
168 | 1 52 | 1 57 | 2 1 | 2 6 | 2 11 | 2 15 | 2 20 | 2 22 | 2 29 | 2 34 | 2 39 | 11 12 | ||||
171 | 1 54 | 1 59 | 2 3½ | 2 8 | 2 13 | 2 18 | 2 22½ | 2 25 | 2 32 | 2 37 | 2 41½ | 11 24 | ||||
174 | 1 56 | 1 | 2 6 | 2 10½ | 2 15 | 2 20 | 2 25 | 2 27 | 2 35 | 2 39½ | 2 44 | 11 36 | ||||
177 | 1 58 | 3 | 2 8 | 2 13 | 2 18 | 2 23 | 2 27½ | 2 30 | 2 37 | 2 42 | 2 47 | 11 48 | ||||
180 | 0 | 5 | 2 10 | 2 15 | 2 20 | 2 25 | 2 30 | 2 32 | 2 40 | 2 45 | 2 50 | 12 0 |
[page] 157
TABLE XXI. For reducing the Moon's Declination, as given in the Nautical Almanac for Noon and Midnight at Greenwich, to any other Time under that Meridian; or to Noon or Midnight under any other Meridian. | ||||||||||||||||||||||||
Variation of the Moon's Declination in Twelve Hours. | ||||||||||||||||||||||||
Ship's Long. | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | Time from Noon. | |
2 | 55 | 3 | 0 | 3 | 5 | 3 | 10 | 3 | 15 | 3 | 20 | 3 | 25 | 3 | 30 | 3 | 35 | 3 | 40 | 3 | 45 | |||
° | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | ° | ′ | h | ′ |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3 | 0 | 3½ | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 12 |
6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6½ | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7½ | 0 | 24 |
9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9½ | 0 | 10 | 0 | 10 | 0 | 10 | 0 | 10½ | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 36 |
12 | 0 | 12 | 0 | 12 | 0 | 12 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 15 | 0 | 15 | 0 | 48 |
15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 16 | 0 | 16 | 0 | 17 | 0 | 17 | 0 | 17½ | 0 | 18 | 0 | 18 | 0 | 19 | 1 | 0 |
18 | 0 | 17½ | 0 | 18 | 0 | 18½ | 0 | 19 | 0 | 19½ | 0 | 20 | 0 | 20½ | 0 | 21 | 0 | 21½ | 0 | 22 | 0 | 22½ | 1 | 12 |
21 | 0 | 20 | 0 | 21 | 0 | 22 | 0 | 22 | 0 | 23 | 0 | 23 | 0 | 24 | 0 | 24½ | 0 | 25 | 0 | 26 | 0 | 26 | 1 | 24 |
24 | 0 | 23 | 0 | 24 | 0 | 25 | 0 | 25 | 0 | 26 | 0 | 27 | 0 | 27 | 0 | 28 | 0 | 29 | 0 | 29 | 0 | 30 | 1 | 36 |
27 | 0 | 26 | 0 | 27 | 0 | 28 | 0 | 28½ | 0 | 29 | 0 | 30 | 0 | 31 | 0 | 31½ | 0 | 32 | 0 | 33 | 0 | 34 | 1 | 48 |
30 | 0 | 29 | 0 | 30 | 0 | 31 | 0 | 32 | 0 | 32½ | 0 | 33 | 0 | 34 | 0 | 35 | 0 | 36 | 0 | 37 | 0 | 37½ | 2 | 0 |
33 | 0 | 32 | 0 | 33 | 0 | 34 | 0 | 35 | 0 | 36 | 0 | 37 | 0 | 38 | 0 | 38½ | 0 | 39 | 0 | 40 | 0 | 41 | 2 | 12 |
36 | 0 | 35 | 0 | 36 | 0 | 37 | 0 | 38 | 0 | 39 | 0 | 40 | 0 | 41 | 0 | 42 | 0 | 43 | 0 | 44 | 0 | 45 | 2 | 24 |
39 | 0 | 38 | 0 | 39 | 0 | 40 | 0 | 41 | 0 | 42 | 0 | 43 | 0 | 44 | 0 | 45½ | 0 | 47 | 0 | 48 | 0 | 49 | 2 | 36 |
42 | 0 | 41 | 0 | 42 | 0 | 43 | 0 | 44 | 0 | 45½ | 0 | 47 | 0 | 48 | 0 | 49 | 0 | 50 | 0 | 51 | 0 | 52½ | 2 | 48 |
45 | 0 | 44 | 0 | 45 | 0 | 46 | 0 | 47½ | 0 | 49 | 0 | 50 | 0 | 51 | 0 | 52½ | 0 | 54 | 0 | 55 | 0 | 56 | 3 | 0 |
48 | 0 | 47 | 0 | 48 | 0 | 49 | 0 | 51 | 0 | 52 | 0 | 53 | 0 | 55 | 0 | 56 | 0 | 57 | 0 | 59 | 1 | 0 | 3 | 12 |
51 | 0 | 50 | 0 | 51 | 0 | 52 | 0 | 54 | 0 | 55 | 0 | 57 | 0 | 58 | 0 | 59½ | 1 | 1 | 1 | 2 | 1 | 4 | 3 | 24 |
54 | 0 | 52½ | 0 | 54 | 0 | 55½ | 0 | 57 | 0 | 58½ | 1 | 0 | 1 | 1½ | 1 | 3 | 1 | 4½ | 1 | 6 | 1 | 7½ | 3 | 36 |
57 | 0 | 55 | 0 | 57 | 0 | 59 | 1 | 0 | 1 | 2 | 1 | 3 | 1 | 5 | 1 | 6½ | 1 | 8 | 1 | 10 | 1 | 11 | 3 | 48 |
60 | 0 | 58 | 1 | 0 | 1 | 2 | 1 | 3 | 1 | 5 | 1 | 7 | 1 | 8 | 1 | 10 | 1 | 12 | 1 | 13 | 1 | 15 | 4 | 0 |
63 | 1 | 1 | 1 | 3 | 1 | 5 | 1 | 6½ | 1 | 8 | 1 | 10 | 1 | 12 | 1 | 13½ | 1 | 15 | 1 | 17 | 1 | 19 | 4 | 12 |
66 | 1 | 4 | 1 | 6 | 1 | 8 | 1 | 10 | 1 | 11½ | 1 | 13 | 1 | 15 | 1 | 17 | 1 | 19 | 1 | 21 | 1 | 22½ | 4 | 24 |
69 | 1 | 7 | 1 | 9 | 1 | 11 | 1 | 13 | 1 | 15 | 1 | 17 | 1 | 19 | 1 | 20½ | 1 | 22 | 1 | 24 | 1 | 26 | 4 | 36 |
72 | 1 | 10 | 1 | 12 | 1 | 14 | 1 | 16 | 1 | 18 | 1 | 20 | 1 | 22 | 1 | 24 | 1 | 26 | 1 | 28 | 1 | 30 | 4 | 48 |
75 | 1 | 13 | 1 | 15 | 1 | 17 | 1 | 19 | 1 | 21 | 1 | 23 | 1 | 25 | 1 | 27½ | 1 | 29½ | 1 | 32 | 1 | 34 | 5 | 0 |
78 | 1 | 16 | 1 | 18 | 1 | 20 | 1 | 22 | 1 | 24½ | 1 | 27 | 1 | 29 | 1 | 31 | 1 | 33 | 1 | 35 | 1 | 37½ | 5 | 12 |
81 | 1 | 19 | 1 | 21 | 1 | 23 | 1 | 25½ | 1 | 28 | 1 | 30 | 1 | 32 | 1 | 34½ | 1 | 37 | 1 | 39 | 1 | 41 | 5 | 24 |
84 | 1 | 22 | 1 | 24 | 1 | 26 | 1 | 29 | 1 | 31 | 1 | 33 | 1 | 36 | 1 | 38 | 1 | 40 | 1 | 43 | 1 | 45 | 5 | 36 |
87 | 1 | 25 | 1 | 27 | 1 | 29 | 1 | 32 | 1 | 34 | 1 | 37 | 1 | 39 | 1 | 41½ | 1 | 44 | 1 | 46 | 1 | 49 | 5 | 48 |
90 | 1 | 27½ | 1 | 30 | 1 | 32½ | 1 | 35 | 1 | 37½ | 1 | 40 | 1 | 42½ | 1 | 45 | 1 | 47½ | 1 | 50 | 1 | 52½ | 6 | 0 |
93 | 1 | 30 | 1 | 33 | 1 | 36 | 1 | 38 | 1 | 41 | 1 | 43 | 1 | 46 | 1 | 48½ | 1 | 51 | 1 | 54 | 1 | 56 | 6 | 12 |
96 | 1 | 33 | 1 | 36 | 1 | 39 | 1 | 41 | 1 | 44 | 1 | 47 | 1 | 49 | 1 | 52 | 1 | 55 | 1 | 57 | 2 | 0 | 6 | 24 |
99 | 1 | 36 | 1 | 39 | 1 | 42 | 1 | 44½ | 1 | 47 | 1 | 50 | 1 | 53 | 1 | 55½ | 1 | 58 | 2 | 1 | 2 | 4 | 6 | 36 |
102 | 1 | 39 | 1 | 42 | 1 | 45 | 1 | 48 | 1 | 50½ | 1 | 53 | 1 | 56 | 1 | 59 | 2 | 2 | 2 | 5 | 2 | 7½ | 6 | 48 |
105 | 1 | 42 | 1 | 45 | 1 | 48 | 1 | 51 | 1 | 54 | 1 | 57 | 2 | 0 | 2 | 2½ | 2 | 5 | 2 | 8 | 2 | 11 | 7 | 0 |
108 | 1 | 45 | 1 | 48 | 1 | 51 | 1 | 54 | 1 | 57 | 2 | 0 | 2 | 3 | 2 | 6 | 2 | 9 | 2 | 12 | 2 | 15 | 7 | 12 |
111 | 1 | 48 | 1 | 51 | 1 | 54 | 1 | 57 | 2 | 0 | 2 | 3 | 2 | 6 | 2 | 9½ | 2 | 13 | 2 | 16 | 2 | 19 | 7 | 24 |
114 | 1 | 51 | 1 | 54 | 1 | 57 | 2 | 0 | 2 | 3½ | 2 | 7 | 2 | 10 | 2 | 13 | 2 | 16 | 2 | 19 | 2 | 22½ | 7 | 36 |
117 | 1 | 54 | 1 | 57 | 2 | 0 | 2 | 3½ | 2 | 7 | 2 | 10 | 2 | 13 | 2 | 16½ | 2 | 20 | 2 | 23 | 2 | 26 | 7 | 48 |
120 | 1 | 57 | 2 | 0 | 2 | 3 | 2 | 7 | 2 | 10 | 2 | 13 | 2 | 17 | 2 | 20 | 2 | 23 | 2 | 27 | 2 | 30 | 8 | 0 |
123 | 2 | 0 | 2 | 3 | 2 | 6 | 2 | 10 | 2 | 13 | 2 | 17 | 2 | 20 | 2 | 23½ | 2 | 27 | 2 | 30 | 2 | 34 | 8 | 12 |
126 | 2 | 2½ | 2 | 6 | 2 | 9 | 2 | 13 | 2 | 16½ | 2 | 20 | 2 | 23½ | 2 | 27 | 2 | 30½ | 2 | 34 | 2 | 37½ | 8 | 24 |
129 | 2 | 5 | 2 | 9 | 2 | 12½ | 2 | 16 | 2 | 20 | 2 | 23 | 2 | 27 | 2 | 30½ | 2 | 34 | 2 | 38 | 2 | 41 | 8 | 36 |
132 | 2 | 8 | 2 | 12 | 2 | 16 | 2 | 19 | 2 | 23 | 2 | 27 | 2 | 30 | 2 | 34 | 2 | 38 | 2 | 41 | 2 | 45 | 8 | 48 |
135 | 2 | 11 | 2 | 15 | 2 | 19 | 2 | 22½ | 2 | 26 | 2 | 30 | 2 | 34 | 2 | 37½ | 2 | 41 | 2 | 45 | 2 | 49 | 9 | 0 |
138 | 2 | 14 | 2 | 18 | 2 | 22 | 2 | 26 | 2 | 29½ | 2 | 33 | 2 | 37 | 2 | 41 | 2 | 45 | 2 | 49 | 2 | 52½ | 9 | 12 |
141 | 2 | 17 | 2 | 21 | 2 | 25 | 2 | 29 | 2 | 33 | 2 | 37 | 2 | 41 | 2 | 44½ | 2 | 48 | 2 | 52 | 2 | 56 | 9 | 24 |
144 | 2 | 20 | 2 | 24 | 2 | 28 | 2 | 32 | 2 | 36 | 2 | 40 | 2 | 44 | 2 | 48 | 2 | 52 | 2 | 56 | 3 | 0 | 9 | 36 |
147 | 2 | 23 | 2 | 27 | 2 | 31 | 2 | 35 | 2 | 39 | 2 | 43 | 2 | 47 | 2 | 51½ | 2 | 56 | 3 | 0 | 3 | 4 | 9 | 48 |
150 | 2 | 26 | 2 | 30 | 2 | 34 | 2 | 38 | 2 | 42½ | 2 | 47 | 2 | 51 | 2 | 55 | 2 | 59 | 3 | 3 | 3 | 7½ | 10 | 0 |
153 | 2 | 29 | 2 | 33 | 2 | 37 | 2 | 41½ | 2 | 46 | 2 | 50 | 2 | 54 | 2 | 58½ | 3 | 3 | 3 | 7 | 3 | 11 | 10 | 12 |
156 | 2 | 32 | 2 | 36 | 2 | 40 | 2 | 45 | 2 | 49 | 2 | 53 | 2 | 58 | 3 | 2 | 3 | 6 | 3 | 11 | 3 | 15 | 10 | 24 |
159 | 2 | 35 | 2 | 39 | 2 | 43 | 2 | 48 | 2 | 52 | 2 | 57 | 3 | 1 | 3 | 5½ | 3 | 10 | 3 | 14 | 3 | 19 | 10 | 36 |
162 | 2 | 37½ | 2 | 42 | 2 | 46 | 2 | 51 | 2 | 55½ | 3 | 0 | 3 | 4½ | 3 | 9 | 3 | 13½ | 3 | 18 | 3 | 22½ | 10 | 48 |
165 | 2 | 40 | 2 | 45 | 2 | 49½ | 2 | 54 | 2 | 59 | 3 | 3 | 3 | 8 | 3 | 12½ | 3 | 17 | 3 | 22 | 3 | 26 | 11 | 0 |
168 | 2 | 43 | 2 | 48 | 2 | 53 | 2 | 57 | 3 | 2 | 3 | 7 | 3 | 11 | 3 | 16 | 3 | 21 | 3 | 25 | 3 | 30 | 11 | 12 |
171 | 2 | 46 | 2 | 51 | 2 | 56 | 3 | 0½ | 3 | 5 | 3 | 10 | 3 | 15 | 3 | 19½ | 3 | 24 | 3 | 29 | 3 | 34 | 11 | 24 |
174 | 2 | 49 | 2 | 54 | 2 | 59 | 3 | 4 | 3 | 8½ | 3 | 13 | 3 | 18 | 3 | 23 | 3 | 28 | 3 | 33 | 3 | 37½ | 11 | 36 |
177 | 2 | 52 | 2 | 57 | 3 | 2 | 3 | 7 | 3 | 12 | 3 | 17 | 3 | 22 | 3 | 26½ | 3 | 31 | 3 | 36 | 3 | 41 | 11 | 48 |
180 | 2 | 55 | 3 | 0 | 3 | 5 | 3 | 10 | 3 | 15 | 3 | 20 | 3 | 25 | 3 | 30 | 3 | 35 | 3 | 40 | 3 | 45 | 12 | 0 |
[page] 158
TABLE XXII. For reducing the Sun's Right Ascension in Time, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under that Meridian; or to Noon under any other Meridian. | ||||||||||||||||||||
Daily Variation of the Sun's Right Ascension in Time. | ||||||||||||||||||||
Time from Noon. | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | Ship's Long. | |
3 | 30 | 3 | 32 | 3 | 34 | 3 | 36 | 3 | 38 | 3 | 40 | 3 | 42 | 3 | 44 | 3 | 46 | |||
h | ′ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ° |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 12 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 3 |
0 | 24 | 0 | 3½ | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 6 |
0 | 36 | 0 | 5 | 0 | 5 | 0 | 5 | 0 | 5 | 0 | 5 | 0 | 5½ | 0 | 6 | 0 | 6 | 0 | 6 | 9 |
0 | 48 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 8 | 12 |
1 | 0 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 15 |
1 | 32 | 0 | 10½ | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 18 |
1 | 24 | 0 | 12 | 0 | 12 | 0 | 12 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 21 |
1 | 36 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 24 |
1 | 48 | 0 | 16 | 0 | 16 | 0 | 16 | 0 | 16 | 0 | 16 | 0 | 16½ | 0 | 17 | 0 | 17 | 0 | 17 | 27 |
2 | 0 | 0 | 17½ | 0 | 18 | 0 | 18 | 0 | 18 | 0 | 18 | 0 | 18 | 0 | 18½ | 0 | 19 | 0 | 19 | 30 |
2 | 12 | 0 | 19 | 0 | 19 | 0 | 20 | 0 | 20 | 0 | 20 | 0 | 20 | 0 | 20 | 0 | 21 | 0 | 21 | 33 |
2 | 24 | 0 | 21 | 0 | 21 | 0 | 21 | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 23 | 36 |
2 | 36 | 0 | 23 | 0 | 23 | 0 | 23 | 0 | 23 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 24 | 39 |
2 | 48 | 0 | 24½ | 0 | 25 | 0 | 25 | 0 | 25 | 0 | 25 | 0 | 26 | 0 | 26 | 0 | 26 | 0 | 26 | 42 |
3 | 0 | 0 | 26 | 0 | 26½ | 0 | 27 | 0 | 27 | 0 | 27 | 0 | 27½ | 0 | 28 | 0 | 28 | 0 | 28 | 45 |
3 | 12 | 0 | 28 | 0 | 28 | 0 | 29 | 0 | 29 | 0 | 29 | 0 | 29 | 0 | 30 | 0 | 30 | 0 | 30 | 48 |
3 | 24 | 0 | 30 | 0 | 30 | 0 | 30 | 0 | 31 | 0 | 31 | 0 | 31 | 0 | 31 | 0 | 32 | 0 | 32 | 51 |
3 | 36 | 0 | 31½ | 0 | 32 | 0 | 32 | 0 | 32 | 0 | 33 | 0 | 33 | 0 | 33 | 0 | 34 | 0 | 34 | 54 |
3 | 48 | 0 | 33 | 0 | 34 | 0 | 34 | 0 | 34 | 0 | 35 | 0 | 35 | 0 | 35 | 0 | 35 | 0 | 36 | 57 |
4 | 0 | 0 | 35 | 0 | 35 | 0 | 36 | 0 | 36 | 0 | 36 | 0 | 37 | 0 | 37 | 0 | 37 | 0 | 38 | 60 |
4 | 12 | 0 | 37 | 0 | 37 | 0 | 37 | 0 | 38 | 0 | 38 | 0 | 38½ | 0 | 39 | 0 | 39 | 0 | 40 | 63 |
4 | 24 | 0 | 38½ | 0 | 39 | 0 | 39 | 0 | 40 | 0 | 40 | 0 | 40 | 0 | 41 | 0 | 41 | 0 | 41 | 66 |
4 | 36 | 0 | 40 | 0 | 41 | 0 | 41 | 0 | 41 | 0 | 42 | 0 | 42 | 0 | 43 | 0 | 43 | 0 | 43 | 69 |
4 | 48 | 0 | 42 | 0 | 42 | 0 | 43 | 0 | 43 | 0 | 44 | 0 | 44 | 0 | 44 | 0 | 45 | 0 | 45 | 72 |
5 | 0 | 0 | 44 | 0 | 44 | 0 | 45 | 0 | 45 | 0 | 45 | 0 | 46 | 0 | 46 | 0 | 47 | 0 | 47 | 75 |
5 | 12 | 0 | 45½ | 0 | 46 | 0 | 46 | 0 | 47 | 0 | 47 | 0 | 48 | 0 | 48 | 0 | 49 | 0 | 49 | 78 |
5 | 24 | 0 | 47 | 0 | 48 | 0 | 48 | 0 | 49 | 0 | 49 | 0 | 49½ | 0 | 50 | 0 | 50 | 0 | 51 | 81 |
5 | 36 | 0 | 49 | 0 | 49 | 0 | 50 | 0 | 50 | 0 | 51 | 0 | 51 | 0 | 52 | 0 | 52 | 0 | 53 | 84 |
5 | 48 | 0 | 51 | 0 | 51 | 0 | 52 | 0 | 52 | 0 | 53 | 0 | 53 | 0 | 54 | 0 | 54 | 0 | 55 | 87 |
6 | 0 | 0 | 52½ | 0 | 53 | 0 | 53½ | 0 | 54 | 0 | 54½ | 0 | 55 | 0 | 55½ | 0 | 56 | 0 | 56½ | 90 |
6 | 12 | 0 | 54 | 0 | 55 | 0 | 55 | 0 | 56 | 0 | 56 | 0 | 57 | 0 | 57 | 0 | 58 | 0 | 58 | 93 |
6 | 24 | 0 | 56 | 0 | 57 | 0 | 57 | 0 | 58 | 0 | 58 | 0 | 59 | 0 | 59 | 1 | 0 | 1 | 0 | 96 |
6 | 36 | 0 | 58 | 0 | 58 | 0 | 59 | 0 | 59 | 1 | 0 | 1 | 0½ | 1 | 1 | 1 | 2 | 1 | 2 | 99 |
6 | 48 | 0 | 59½ | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 3 | 1 | 3 | 1 | 4 | 102 |
7 | 0 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 3 | 1 | 4 | 1 | 4 | 1 | 5 | 1 | 5 | 1 | 6 | 105 |
7 | 12 | 1 | 3 | 1 | 4 | 1 | 4 | 1 | 5 | 1 | 5 | 1 | 6 | 1 | 7 | 1 | 7 | 1 | 8 | 108 |
7 | 24 | 1 | 5 | 1 | 5 | 1 | 6 | 1 | 7 | 1 | 7 | 1 | 8 | 1 | 8 | 1 | 9 | 1 | 10 | 111 |
7 | 36 | 1 | 6½ | 1 | 7 | 1 | 8 | 1 | 8 | 1 | 9 | 1 | 10 | 1 | 10 | 1 | 11 | 1 | 12 | 114 |
7 | 48 | 1 | 8 | 1 | 9 | 1 | 10 | 1 | 10 | 1 | 11 | 1 | 11½ | 1 | 12 | 1 | 13 | 1 | 13 | 117 |
8 | 0 | 1 | 10 | 1 | 11 | 1 | 11 | 1 | 12 | 1 | 13 | 1 | 13 | 1 | 14 | 1 | 15 | 1 | 15 | 120 |
8 | 12 | 1 | 12 | 1 | 12 | 1 | 13 | 1 | 14 | 1 | 14 | 1 | 15 | 1 | 16 | 1 | 17 | 1 | 17 | 123 |
8 | 24 | 1 | 13½ | 1 | 14 | 1 | 15 | 1 | 16 | 1 | 16 | 1 | 17 | 1 | 18 | 1 | 18 | 1 | 19 | 126 |
8 | 36 | 1 | 15 | 1 | 16 | 1 | 17 | 1 | 17 | 1 | 18 | 1 | 19 | 1 | 20 | 1 | 20 | 1 | 21 | 129 |
8 | 48 | 1 | 17 | 1 | 18 | 1 | 18 | 1 | 19 | 1 | 20 | 1 | 21 | 1 | 21 | 1 | 22 | 1 | 23 | 132 |
9 | 0 | 1 | 19 | 1 | 19½ | 1 | 20 | 1 | 21 | 1 | 22 | 1 | 22½ | 1 | 23 | 1 | 24 | 1 | 25 | 135 |
9 | 12 | 1 | 20½ | 1 | 21 | 1 | 22 | 1 | 23 | 1 | 24 | 1 | 24 | 1 | 25 | 1 | 26 | 1 | 27 | 138 |
9 | 24 | 1 | 22 | 1 | 23 | 1 | 24 | 1 | 25 | 1 | 25 | 1 | 26 | 1 | 27 | 1 | 28 | 1 | 29 | 141 |
9 | 36 | 1 | 24 | 1 | 25 | 1 | 26 | 1 | 26 | 1 | 27 | 1 | 28 | 1 | 29 | 1 | 30 | 1 | 30 | 144 |
9 | 48 | 1 | 26 | 1 | 27 | 1 | 27 | 1 | 28 | 1 | 29 | 1 | 30 | 1 | 31 | 1 | 31 | 1 | 32 | 147 |
10 | 0 | 1 | 27½ | 1 | 28 | 1 | 29 | 1 | 30 | 1 | 31 | 1 | 32 | 1 | 32½ | 1 | 33 | 1 | 34 | 150 |
10 | 12 | 1 | 29 | 1 | 30 | 1 | 31 | 1 | 32 | 1 | 33 | 1 | 33½ | 1 | 34 | 1 | 35 | 1 | 36 | 153 |
10 | 24 | 1 | 31 | 1 | 32 | 1 | 33 | 1 | 34 | 1 | 34 | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 38 | 156 |
10 | 36 | 1 | 33 | 1 | 34 | 1 | 35 | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 38 | 1 | 39 | 1 | 40 | 159 |
10 | 48 | 1 | 34½ | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 38 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 42 | 162 |
11 | 0 | 1 | 36 | 1 | 37 | 1 | 38 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 43 | 1 | 44 | 165 |
11 | 12 | 1 | 38 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 45 | 168 |
11 | 24 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 44½ | 1 | 45 | 1 | 46 | 1 | 47 | 171 |
11 | 36 | 1 | 41½ | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 174 |
11 | 48 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 177 |
12 | 0 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 1 | 52 | 1 | 53 | 180 |
[page] 159
TABLE XXII. For reducing the Sun's Right Ascension in Time, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under that Meridian; or to Noon under any other Meridian. | ||||||||||||||||||||||
Daily Variation of the Sun's Right Ascension in Time. | ||||||||||||||||||||||
Time from Noon. | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | Ship's Long. | |
3 | 48 | 3 | 50 | 3 | 52 | 3 | 54 | 3 | 56 | 3 | 58 | 4 | 0 | 4 | 2 | 4 | 4 | 4 | 6 | |||
h | ′ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ° |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 12 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 3 |
0 | 24 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 6 |
0 | 36 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 9 |
0 | 48 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 12 |
1 | 0 | 0 | 9½ | 0 | 10 | 0 | 10 | 0 | 10 | 0 | 10 | 0 | 10 | 0 | 10 | 0 | 10 | 0 | 10 | 0 | 10 | 15 |
1 | 12 | 0 | 11 | 0 | 11½ | 0 | 12 | 0 | 12 | 0 | 12 | 0 | 12 | 0 | 12 | 0 | 12 | 0 | 12 | 0 | 12 | 18 |
1 | 24 | 0 | 13 | 0 | 13 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 14 | 0 | 14 | 21 |
1 | 36 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 16 | 0 | 16 | 0 | 16 | 0 | 16 | 0 | 16 | 0 | 16 | 0 | 16 | 24 |
1 | 48 | 0 | 17 | 0 | 17 | 0 | 17 | 0 | 18 | 0 | 18 | 0 | 18 | 0 | 18 | 0 | 18 | 0 | 18 | 0 | 18 | 27 |
2 | 0 | 0 | 19 | 0 | 19 | 0 | 19 | 0 | 19½ | 0 | 20 | 0 | 20 | 0 | 20 | 0 | 20 | 0 | 20 | 0 | 20½ | 30 |
2 | 12 | 0 | 21 | 0 | 21 | 0 | 21 | 0 | 21 | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 23 | 33 |
2 | 24 | 0 | 23 | 0 | 23 | 0 | 23 | 0 | 23 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 25 | 36 |
2 | 36 | 0 | 25 | 0 | 25 | 0 | 25 | 0 | 25 | 0 | 26 | 0 | 26 | 0 | 26 | 0 | 26 | 0 | 26 | 0 | 27 | 39 |
2 | 48 | 0 | 27 | 0 | 27 | 0 | 27 | 0 | 27 | 0 | 28 | 0 | 28 | 0 | 28 | 0 | 28 | 0 | 28 | 0 | 29 | 42 |
3 | 0 | 0 | 28½ | 0 | 29 | 0 | 29 | 0 | 29 | 0 | 29½ | 0 | 30 | 0 | 30 | 0 | 30 | 0 | 30½ | 0 | 31 | 45 |
3 | 12 | 0 | 30 | 0 | 31 | 0 | 31 | 0 | 31 | 0 | 31 | 0 | 32 | 0 | 32 | 0 | 32 | 0 | 33 | 0 | 33 | 48 |
3 | 24 | 0 | 32 | 0 | 33 | 0 | 33 | 0 | 33 | 0 | 33 | 0 | 34 | 0 | 34 | 0 | 34 | 0 | 35 | 0 | 35 | 51 |
3 | 36 | 0 | 34 | 0 | 34½ | 0 | 35 | 0 | 35 | 0 | 35 | 0 | 36 | 0 | 36 | 0 | 36 | 0 | 37 | 0 | 37 | 54 |
3 | 48 | 0 | 36 | 0 | 36 | 0 | 37 | 0 | 37 | 0 | 37 | 0 | 38 | 0 | 38 | 0 | 38 | 0 | 39 | 0 | 39 | 57 |
4 | 0 | 0 | 38 | 0 | 38 | 0 | 39 | 0 | 39 | 0 | 39 | 0 | 40 | 0 | 40 | 0 | 40 | 0 | 41 | 0 | 41 | 60 |
4 | 12 | 0 | 40 | 0 | 40 | 0 | 41 | 0 | 41 | 0 | 41 | 0 | 42 | 0 | 42 | 0 | 42 | 0 | 43 | 0 | 43 | 63 |
4 | 24 | 0 | 42 | 0 | 42 | 0 | 43 | 0 | 43 | 0 | 43 | 0 | 44 | 0 | 44 | 0 | 44 | 0 | 45 | 0 | 45 | 66 |
4 | 36 | 0 | 44 | 0 | 44 | 0 | 44 | 0 | 45 | 0 | 45 | 0 | 46 | 0 | 46 | 0 | 46 | 0 | 47 | 0 | 47 | 69 |
4 | 48 | 0 | 46 | 0 | 46 | 0 | 46 | 0 | 47 | 0 | 47 | 0 | 48 | 0 | 48 | 0 | 48 | 0 | 49 | 0 | 49 | 72 |
5 | 0 | 0 | 47½ | 0 | 48 | 0 | 48 | 0 | 49 | 0 | 49 | 0 | 50 | 0 | 50 | 0 | 50 | 0 | 51 | 0 | 51 | 75 |
5 | 12 | 0 | 49 | 0 | 50 | 0 | 50 | 0 | 51 | 0 | 51 | 0 | 52 | 0 | 52 | 0 | 52 | 0 | 53 | 0 | 53 | 78 |
5 | 24 | 0 | 51 | 0 | 52 | 0 | 52 | 0 | 53 | 0 | 53 | 0 | 54 | 0 | 54 | 0 | 54 | 0 | 55 | 0 | 55 | 81 |
5 | 36 | 0 | 53 | 0 | 54 | 0 | 54 | 0 | 55 | 0 | 55 | 0 | 56 | 0 | 56 | 0 | 56 | 0 | 57 | 0 | 57 | 84 |
5 | 48 | 0 | 55 | 0 | 56 | 0 | 56 | 0 | 57 | 0 | 57 | 0 | 58 | 0 | 58 | 0 | 58 | 0 | 59 | 0 | 59 | 87 |
6 | 0 | 0 | 57 | 0 | 57½ | 0 | 58 | 0 | 58½ | 0 | 59 | 0 | 59½ | 1 | 0 | 1 | 0½ | 1 | 1 | 1 | 1½ | 90 |
6 | 12 | 0 | 59 | 0 | 59 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 3 | 1 | 3 | 1 | 4 | 93 |
6 | 24 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 3 | 1 | 3 | 1 | 4 | 1 | 5 | 1 | 5 | 1 | 6 | 96 |
6 | 36 | 1 | 3 | 1 | 3 | 1 | 4 | 1 | 4 | 1 | 5 | 1 | 5 | 1 | 6 | 1 | 7 | 1 | 7 | 1 | 8 | 99 |
6 | 48 | 1 | 5 | 1 | 5 | 1 | 6 | 1 | 6 | 1 | 7 | 1 | 7 | 1 | 8 | 1 | 9 | 1 | 9 | 1 | 10 | 102 |
7 | 0 | 1 | 6½ | 1 | 7 | 1 | 8 | 1 | 8 | 1 | 9 | 1 | 9 | 1 | 10 | 1 | 11 | 1 | 11 | 1 | 12 | 105 |
7 | 12 | 1 | 8 | 1 | 9 | 1 | 10 | 1 | 10 | 1 | 11 | 1 | 11 | 1 | 12 | 1 | 13 | 1 | 13 | 1 | 14 | 108 |
7 | 24 | 1 | 10 | 1 | 11 | 1 | 12 | 1 | 12 | 1 | 13 | 1 | 13 | 1 | 14 | 1 | 15 | 1 | 15 | 1 | 16 | 111 |
7 | 36 | 1 | 12 | 1 | 13 | 1 | 13 | 1 | 14 | 1 | 15 | 1 | 15 | 1 | 16 | 1 | 17 | 1 | 17 | 1 | 18 | 114 |
7 | 48 | 1 | 14 | 1 | 15 | 1 | 15 | 1 | 16 | 1 | 17 | 1 | 17 | 1 | 18 | 1 | 19 | 1 | 19 | 1 | 20 | 117 |
8 | 0 | 1 | 16 | 1 | 17 | 1 | 17 | 1 | 18 | 1 | 19 | 1 | 19 | 1 | 20 | 1 | 21 | 1 | 21 | 1 | 22 | 120 |
8 | 12 | 1 | 18 | 1 | 19 | 1 | 19 | 1 | 20 | 1 | 21 | 1 | 21 | 1 | 22 | 1 | 23 | 1 | 23 | 1 | 24 | 123 |
8 | 24 | 1 | 20 | 1 | 20½ | 1 | 21 | 1 | 22 | 1 | 23 | 1 | 23 | 1 | 24 | 1 | 25 | 1 | 25 | 1 | 26 | 126 |
8 | 36 | 1 | 22 | 1 | 22 | 1 | 23 | 1 | 24 | 1 | 25 | 1 | 25 | 1 | 26 | 1 | 27 | 1 | 27 | 1 | 28 | 129 |
8 | 48 | 1 | 24 | 1 | 24 | 1 | 25 | 1 | 26 | 1 | 27 | 1 | 27 | 1 | 28 | 1 | 29 | 1 | 29 | 1 | 30 | 132 |
9 | 0 | 1 | 25½ | 1 | 26 | 1 | 27 | 1 | 28 | 1 | 28½ | 1 | 29 | 1 | 30 | 1 | 31 | 1 | 31½ | 1 | 32 | 135 |
9 | 12 | 1 | 27 | 1 | 28 | 1 | 29 | 1 | 30 | 1 | 30 | 1 | 31 | 1 | 32 | 1 | 33 | 1 | 34 | 1 | 34 | 138 |
9 | 24 | 1 | 29 | 1 | 30 | 1 | 31 | 1 | 32 | 1 | 32 | 1 | 33 | 1 | 34 | 1 | 35 | 1 | 36 | 1 | 36 | 141 |
9 | 36 | 1 | 31 | 1 | 32 | 1 | 33 | 1 | 34 | 1 | 34 | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 38 | 1 | 38 | 144 |
9 | 48 | 1 | 33 | 1 | 34 | 1 | 35 | 1 | 36 | 1 | 36 | 1 | 37 | 1 | 38 | 1 | 39 | 1 | 40 | 1 | 40 | 147 |
10 | 0 | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 37½ | 1 | 38 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 42½ | 150 |
10 | 12 | 1 | 37 | 1 | 38 | 1 | 39 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 45 | 153 |
10 | 24 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 41 | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 46 | 1 | 47 | 156 |
10 | 36 | 1 | 41 | 1 | 42 | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 159 |
10 | 48 | 1 | 43 | 1 | 43½ | 1 | 44 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 162 |
11 | 0 | 1 | 44½ | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 1 | 52 | 1 | 53 | 165 |
11 | 12 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 1 | 52 | 1 | 53 | 1 | 54 | 1 | 55 | 168 |
11 | 24 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 1 | 52 | 1 | 53 | 1 | 54 | 1 | 55 | 1 | 56 | 1 | 57 | 171 |
11 | ?6 | 1 | 50 | 1 | 51 | 1 | 52 | 1 | 53 | 1 | 54 | 1 | 55 | 1 | 56 | 1 | 57 | 1 | 58 | 1 | 59 | 174 |
11 | 48 | 1 | 52 | 1 | 53 | 1 | 54 | 1 | 55 | 1 | 56 | 1 | 57 | 1 | 58 | 1 | 59 | 2 | 0 | 2 | 1 | 177 |
12 | 0 | 1 | 54 | 1 | 55 | 1 | 56 | 1 | 57 | 1 | 58 | 1 | 59 | 2 | 0 | 2 | 1 | 2 | 2 | 2 | 3 | 180 |
[page] 160
TABLE XXII. For reducing the Sun's Right Ascension in Time, as given in the Nautical Almanac for Noon at Greenwich, to any other Time under that Meridian; or to Noon under any other Meridian. | ||||||||||||||||||||||||
Daily Variation of the Sun's Right Ascension in Time. | ||||||||||||||||||||||||
Time from Noon. | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | Ship's Long. | |
4 | 8 | 4 | 10 | 4 | 12 | 4 | 14 | 4 | 16 | 4 | 18 | 4 | 20 | 4 | 22 | 4 | 24 | 4 | 26 | 4 | 28 | |||
h | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ″ | ′ | ° |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 12 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 0 | 2 | 3 |
0 | 24 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 0 | 4 | 6 |
0 | 36 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6 | 0 | 6½ | 0 | 7 | 0 | 7 | 0 | 7 | 0 | 7 | 9 |
0 | 48 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 8 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 0 | 9 | 12 |
1 | 0 | 0 | 10 | 0 | 10 | 0 | 10½ | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 0 | 11 | 15 |
1 | 12 | 0 | 12 | 0 | 12½ | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 0 | 13 | 18 |
1 | 24 | 0 | 14 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 15 | 0 | 16 | 0 | 16 | 21 |
1 | 36 | 0 | 17 | 0 | 17 | 0 | 17 | 0 | 17 | 0 | 17 | 0 | 17 | 0 | 17 | 0 | 17 | 0 | 18 | 0 | 18 | 0 | 18 | 24 |
1 | 48 | 0 | 19 | 0 | 19 | 0 | 19 | 0 | 19 | 0 | 19 | 0 | 19 | 0 | 19½ | 0 | 20 | 0 | 20 | 0 | 20 | 0 | 20 | 27 |
2 | 0 | 0 | 21 | 0 | 21 | 0 | 21 | 0 | 21 | 0 | 21 | 0 | 21½ | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 22 | 0 | 22 | 30 |
2 | 12 | 0 | 23 | 0 | 23 | 0 | 23 | 0 | 23 | 0 | 23 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 24 | 0 | 25 | 33 |
2 | 24 | 0 | 25 | 0 | 25 | 0 | 25 | 0 | 25 | 0 | 26 | 0 | 26 | 0 | 26 | 0 | 26 | 0 | 26 | 0 | 27 | 0 | 27 | 36 |
2 | 36 | 0 | 27 | 0 | 27 | 0 | 27 | 0 | 28 | 0 | 28 | 0 | 28 | 0 | 28 | 0 | 28 | 0 | 29 | 0 | 29 | 0 | 29 | 39 |
2 | 48 | 0 | 29 | 0 | 29 | 0 | 29 | 0 | 30 | 0 | 30 | 0 | 30 | 0 | 30 | 0 | 31 | 0 | 31 | 0 | 31 | 0 | 31 | 42 |
3 | 0 | 0 | 31 | 0 | 31 | 0 | 31½ | 0 | 32 | 0 | 32 | 0 | 32 | 0 | 32½ | 0 | 33 | 0 | 33 | 0 | 33 | 0 | 33½ | 45 |
3 | 12 | 0 | 33 | 0 | 33 | 0 | 34 | 0 | 34 | 0 | 34 | 0 | 34 | 0 | 35 | 0 | 35 | 0 | 35 | 0 | 35 | 0 | 36 | 48 |
3 | 24 | 0 | 35 | 0 | 35 | 0 | 36 | 0 | 36 | 0 | 36 | 0 | 37 | 0 | 37 | 0 | 37 | 0 | 37 | 0 | 38 | 0 | 38 | 51 |
3 | 36 | 0 | 37 | 0 | 37½ | 0 | 38 | 0 | 38 | 0 | 38 | 0 | 39 | 0 | 39 | 0 | 39 | 0 | 40 | 0 | 40 | 0 | 40 | 54 |
3 | 48 | 0 | 39 | 0 | 40 | 0 | 40 | 0 | 40 | 0 | 41 | 0 | 41 | 0 | 41 | 0 | 41 | 0 | 42 | 0 | 42 | 0 | 42 | 57 |
4 | 0 | 0 | 41 | 0 | 42 | 0 | 42 | 0 | 42 | 0 | 43 | 0 | 43 | 0 | 43 | 0 | 44 | 0 | 44 | 0 | 44 | 0 | 45 | 60 |
4 | 12 | 0 | 43 | 0 | 44 | 0 | 44 | 0 | 44 | 0 | 45 | 0 | 45 | 0 | 45½ | 0 | 46 | 0 | 46 | 0 | 47 | 0 | 47 | 63 |
4 | 24 | 0 | 45 | 0 | 46 | 0 | 46 | 0 | 47 | 0 | 47 | 0 | 47 | 0 | 48 | 0 | 48 | 0 | 48 | 0 | 49 | 0 | 49 | 66 |
4 | 36 | 0 | 48 | 0 | 48 | 0 | 48 | 0 | 49 | 0 | 49 | 0 | 49 | 0 | 50 | 0 | 50 | 0 | 51 | 0 | 51 | 0 | 51 | 69 |
4 | 48 | 0 | 50 | 0 | 50 | 0 | 50 | 0 | 51 | 0 | 51 | 0 | 52 | 0 | 52 | 0 | 52 | 0 | 53 | 0 | 53 | 0 | 54 | 72 |
5 | 0 | 0 | 52 | 0 | 52 | 0 | 52½ | 0 | 53 | 0 | 53 | 0 | 54 | 0 | 54 | 0 | 55 | 0 | 55 | 0 | 55 | 0 | 56 | 75 |
5 | 12 | 0 | 54 | 0 | 54 | 0 | 55 | 0 | 55 | 0 | 55 | 0 | 56 | 0 | 56 | 0 | 57 | 0 | 57 | 0 | 58 | 0 | 58 | 78 |
5 | 24 | 0 | 56 | 0 | 56 | 0 | 57 | 0 | 57 | 0 | 58 | 0 | 58 | 0 | 58½ | 0 | 59 | 0 | 59 | 1 | 0 | 1 | 0 | 81 |
5 | 36 | 0 | 58 | 0 | 58 | 0 | 59 | 0 | 59 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 3 | 84 |
5 | 48 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 2 | 1 | 3 | 1 | 3 | 1 | 4 | 1 | 4 | 1 | 5 | 87 |
6 | 0 | 1 | 2 | 1 | 2½ | 1 | 3 | 1 | 3½ | 1 | 4 | 1 | 4½ | 1 | 5 | 1 | 5½ | 1 | 6 | 1 | 6½ | 1 | 7 | 90 |
6 | 12 | 1 | 4 | 1 | 5 | 1 | 5 | 1 | 6 | 1 | 6 | 1 | 7 | 1 | 7 | 1 | 8 | 1 | 8 | 1 | 9 | 1 | 9 | 93 |
6 | 24 | 1 | 6 | 1 | 7 | 1 | 7 | 1 | 8 | 1 | 8 | 1 | 9 | 1 | 9 | 1 | 10 | 1 | 10 | 1 | 11 | 1 | 11 | 96 |
6 | 36 | 1 | 8 | 1 | 9 | 1 | 9 | 1 | 10 | 1 | 10 | 1 | 11 | 1 | 11½ | 1 | 12 | 1 | 13 | 1 | 13 | 1 | 14 | 99 |
6 | 48 | 1 | 10 | 1 | 11 | 1 | 11 | 1 | 12 | 1 | 13 | 1 | 13 | 1 | 14 | 1 | 14 | 1 | 15 | 1 | 15 | 1 | 16 | 102 |
7 | 0 | 1 | 12 | 1 | 13 | 1 | 13½ | 1 | 14 | 1 | 15 | 1 | 15 | 1 | 16 | 1 | 16 | 1 | 17 | 1 | 18 | 1 | 18 | 105 |
7 | 12 | 1 | 14 | 1 | 15 | 1 | 16 | 1 | 16 | 1 | 17 | 1 | 17 | 1 | 18 | 1 | 19 | 1 | 19 | 1 | 20 | 1 | 20 | 108 |
7 | 24 | 1 | 16 | 1 | 17 | 1 | 18 | 1 | 18 | 1 | 19 | 1 | 20 | 1 | 20 | 1 | 21 | 1 | 21 | 1 | 22 | 1 | 23 | 111 |
7 | 36 | 1 | 19 | 1 | 19 | 1 | 20 | 1 | 20 | 1 | 21 | 1 | 22 | 1 | 22 | 1 | 23 | 1 | 24 | 1 | 24 | 1 | 25 | 114 |
7 | 48 | 1 | 21 | 1 | 21 | 1 | 22 | 1 | 23 | 1 | 23 | 1 | 24 | 1 | 24½ | 1 | 25 | 1 | 26 | 1 | 26 | 1 | 27 | 117 |
8 | 0 | 1 | 23 | 1 | 23 | 1 | 24 | 1 | 25 | 1 | 25 | 1 | 26 | 1 | 27 | 1 | 27 | 1 | 28 | 1 | 29 | 1 | 29 | 120 |
8 | 12 | 1 | 25 | 1 | 25 | 1 | 26 | 1 | 27 | 1 | 27 | 1 | 28 | 1 | 29 | 1 | 30 | 1 | 30 | 1 | 31 | 1 | 32 | 123 |
8 | 24 | 1 | 27 | 1 | 27½ | 1 | 28 | 1 | 29 | 1 | 30 | 1 | 30 | 1 | 31 | 1 | 32 | 1 | 32 | 1 | 33 | 1 | 34 | 126 |
8 | 36 | 1 | 29 | 1 | 30 | 1 | 30 | 1 | 31 | 1 | 32 | 1 | 32 | 1 | 33 | 1 | 34 | 1 | 35 | 1 | 35 | 1 | 36 | 129 |
8 | 48 | 1 | 31 | 1 | 32 | 1 | 32 | 1 | 33 | 1 | 34 | 1 | 35 | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 38 | 1 | 38 | 132 |
9 | 0 | 1 | 33 | 1 | 34 | 1 | 34½ | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 37½ | 1 | 38 | 1 | 39 | 1 | 40 | 1 | 40½ | 135 |
9 | 12 | 1 | 35 | 1 | 36 | 1 | 37 | 1 | 37 | 1 | 38 | 1 | 39 | 1 | 40 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 43 | 138 |
9 | 24 | 1 | 37 | 1 | 38 | 1 | 39 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 43 | 1 | 43 | 1 | 44 | 1 | 45 | 141 |
9 | 36 | 1 | 39 | 1 | 40 | 1 | 41 | 1 | 42 | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 46 | 1 | 46 | 1 | 47 | 144 |
9 | 48 | 1 | 41 | 1 | 42 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 49 | 147 |
10 | 0 | 1 | 43 | 1 | 44 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 47½ | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 1 | 52 | 150 |
10 | 12 | 1 | 45 | 1 | 46 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 50½ | 1 | 51 | 1 | 52 | 1 | 53 | 1 | 54 | 153 |
10 | 24 | 1 | 47 | 1 | 48 | 1 | 49 | 1 | 50 | 1 | 51 | 1 | 52 | 1 | 53 | 1 | 54 | 1 | 54 | 1 | 55 | 1 | 56 | 156 |
10 | 36 | 1 | 50 | 1 | 50 | 1 | 51 | 1 | 52 | 1 | 53 | 1 | 54 | 1 | 55 | 1 | 56 | 1 | 57 | 1 | 57 | 1 | 58 | 159 |
10 | 48 | 1 | 52 | 1 | 52½ | 1 | 53 | 1 | 54 | 1 | 55 | 1 | 56 | 1 | 57 | 1 | 58 | 1 | 59 | 2 | 0 | 2 | 1 | 162 |
11 | 0 | 1 | 54 | 1 | 55 | 1 | 55½ | 1 | 56 | 1 | 57 | 1 | 58 | 1 | 59 | 2 | 0 | 2 | 1 | 2 | 2 | 2 | 3 | 165 |
11 | 12 | 1 | 56 | 1 | 57 | 1 | 58 | 1 | 59 | 1 | 59 | 2 | 0 | 2 | 1 | 2 | 2 | 2 | 3 | 2 | 4 | 2 | 5 | 168 |
11 | 24 | 1 | 58 | 1 | 59 | 2 | 0 | 2 | 1 | 2 | 2 | 2 | 3 | 2 | 3½ | 2 | 4 | 2 | 5 | 2 | 6 | 2 | 7 | 171 |
11 | 36 | 2 | 0 | 2 | 1 | 2 | 2 | 2 | 3 | 2 | 4 | 2 | 5 | 2 | 6 | 2 | 7 | 2 | 8 | 2 | 9 | 2 | 10 | 174 |
11 | 48 | 2 | 2 | 2 | 3 | 2 | 4 | 2 | 5 | 2 | 6 | 2 | 7 | 2 | 8 | 2 | 9 | 2 | 10 | 2 | 1? | 2 | 12 | 177 |
12 | 0 | 2 | 4 | 2 | 5 | 2 | 6 | 2 | 7 | 2 | 8 | 2 | 9 | 2 | 10 | 2 | 11 | 2 | 12 | 2 | 13 | 2 | 14 | 180 |
[page] 161
TABLE XXIII. For correcting the Latitude computed from the Latitude by Account, two observed Altitudes of the Sun, and the Interval of Time between them. | ||||||||||||||||||||||||
The Argument on the Top is the Degree of the Declination, and that on the Side is the Degree of the computed Latitude. | ||||||||||||||||||||||||
The Sum or Difference of Unity, and the Number found by this Table muft be taken: The Sum, when the Declination and Latitude are of different Names, and the Difference when of the same; except ⊙ under Pole, take Sum. | ||||||||||||||||||||||||
D. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ||||||||||||
1 | 1, | 00 | 2, | 00 | 3, | 00 | 4, | 01 | 5, | 01 | 6, | 02 | 7, | 03 | 8, | 05 | 9, | 1 | 10, | 1 | 11, | 1 | 12, | 2 |
2 | 0, | 50 | 1, | 00 | 1, | 50 | 2, | 00 | 2, | 51 | 3, | 01 | 3, | 52 | 4, | 02 | 4, | 5 | 5, | 0 | 5, | 6 | 6, | 1 |
3 | 0, | 53 | 0, | 67 | 1, | 00 | 1, | 33 | 1, | 67 | 2, | 01 | 2, | 34 | 2, | 68 | 3, | 02 | 3, | 4 | 3, | 7 | 4, | 1 |
4 | 0, | 25 | 0, | 50 | 0, | 75 | 1, | 00 | 1, | 25 | 1, | 50 | 1, | 76 | 2, | 01 | 2, | 26 | 2, | 52 | 2, | 8 | 3, | 0 |
5 | 0, | 20 | 0, | 40 | 0, | 60 | 0, | 80 | 1, | 00 | 1, | 20 | 1, | 40 | 1, | 61 | 1, | 81 | 2, | 02 | 2, | 22 | 2, | 4 |
6 | 0, | 17 | 0, | 33 | 0, | 50 | 0, | 66 | 0, | 83 | 1, | 00 | 1, | 17 | 1, | 34 | 1, | 51 | 1, | 68 | 1, | 85 | 2, | 02 |
7 | , | 15 | , | 29 | , | 43 | , | 57 | , | 71 | , | 86 | 1, | 00 | 1, | 14 | 1, | 29 | 1, | 43 | 1, | 58 | 1, | 73 |
8 | , | 13 | , | 25 | , | 37 | , | 50 | , | 62 | , | 75 | , | 88 | 1, | 00 | 1, | 13 | 1, | 26 | 1, | 38 | 1, | 51 |
9 | , | 11 | , | 22 | , | 33 | , | 44 | , | 55 | , | 67 | , | 78 | 0, | 89 | 1, | 00 | 1, | 11 | 1, | 22 | 1, | 34 |
10 | , | 10 | , | 20 | , | 30 | , | 40 | , | 50 | , | 60 | , | 70 | 0, | 80 | , | 90 | 1, | 00 | 1, | 10 | 1, | 20 |
11 | , | 09 | , | 18 | , | 27 | , | 36 | , | 45 | , | 54 | , | 63 | , | 72 | , | 81 | , | 90 | 1, | 00 | 1, | 09 |
12 | , | 08 | , | 16 | , | 25 | , | 33 | , | 41 | , | 49 | , | 57 | , | 66 | , | 74 | , | 83 | , | 91 | 1, | 00 |
13 | , | 08 | , | 15 | , | 23 | , | 31 | , | 38 | , | 46 | , | 54 | , | 61 | , | 68 | , | 76 | , | 84 | , | 92 |
14 | , | 07 | , | 14 | , | 21 | , | 28 | , | 35 | , | 42 | , | 49 | , | 56 | , | 63 | , | 70 | , | 78 | , | 85 |
15 | , | 07 | , | 13 | , | 19 | , | 26 | , | 32 | , | 39 | , | 46 | , | 52 | , | 59 | , | 66 | , | 72 | , | 79 |
16 | , | 06 | , | 12 | , | 18 | , | 24 | , | 31 | , | 37 | , | 43 | , | 49 | , | 55 | , | 61 | , | 68 | , | 74 |
17 | , | 06 | , | 12 | , | 17 | , | 23 | , | 28 | , | 34 | , | 40 | , | 46 | , | 52 | , | 58 | , | 64 | , | 70 |
18 | , | 05 | , | 11 | , | 16 | , | 21 | , | 27 | , | 32 | , | 37 | , | 43 | , | 48 | , | 54 | , | 59 | , | 65 |
19 | , | 05 | , | 10 | , | 15 | , | 20 | , | 25 | , | 30 | , | 35 | , | 40 | , | 46 | , | 51 | , | 56 | , | 62 |
20 | , | 05 | , | 10 | , | 14 | , | 19 | , | 24 | , | 29 | , | 34 | , | 39 | , | 43 | , | 48 | , | 53 | , | 58 |
21 | , | 04 | , | 09 | , | 14 | , | 18 | , | 22 | , | 27 | , | 32 | , | 37 | , | 41 | , | 46 | , | 50 | , | 55 |
22 | , | 04 | , | 09 | , | 13 | , | 17 | , | 21 | , | 26 | , | 30 | , | 34 | , | 39 | , | 44 | , | 49 | , | 53 |
23 | , | 04 | , | 08 | , | 12 | , | 16 | , | 20 | , | 25 | , | 29 | , | 33 | , | 37 | , | 41 | , | 45 | , | 50 |
24 | , | 04 | , | 08 | , | 12 | , | 16 | , | 20 | , | 24 | , | 28 | , | 31 | , | 35 | , | 40 | , | 44 | , | 48 |
25 | , | 04 | , | 08 | , | 11 | , | 15 | , | 18 | , | 22 | , | 26 | , | 30 | , | 34 | , | 38 | , | 42 | , | 46 |
26 | , | 04 | , | 07 | , | 11 | , | 14 | , | 17 | , | 21 | , | 25 | , | 28 | , | 32 | , | 36 | , | 40 | , | 44 |
27 | , | 03 | , | 07 | , | 10 | , | 14 | , | 17 | , | 21 | , | 24 | , | 27 | , | 31 | , | 35 | , | 38 | , | 42 |
28 | , | 03 | , | 06 | , | 10 | , | 13 | , | 16 | , | 20 | , | 23 | , | 26 | , | 30 | , | 33 | , | 36 | , | 40 |
29 | , | 03 | , | 06 | , | 09 | , | 12 | , | 15 | , | 19 | , | 22 | , | 25 | , | 28 | , | 31 | , | 34 | , | 38 |
30 | , | 03 | , | 06 | , | 09 | , | 12 | , | 15 | , | 18 | , | 21 | , | 24 | , | 27 | , | 30 | , | 33 | , | 37 |
32 | , | 03 | , | 05 | , | 08 | , | 11 | , | 14 | , | 17 | , | 20 | , | 22 | , | 25 | , | 28 | , | 31 | , | 34 |
34 | , | 03 | , | 05 | , | 08 | , | 11 | , | 13 | , | 16 | , | 18 | , | 20 | , | 23 | , | 26 | , | 29 | , | 32 |
36 | , | 02 | , | 04 | , | 07 | , | 09 | , | 11 | , | 14 | , | 16 | , | 19 | , | 22 | , | 24 | , | 26 | , | 29 |
38 | , | 02 | , | 04 | , | 07 | , | 09 | , | 11 | , | 13 | , | 15 | , | 17 | , | 20 | , | 22 | , | 24 | , | 27 |
40 | , | 02 | , | 04 | , | 06 | , | 09 | , | 11 | , | 13 | , | 15 | , | 17 | , | 19 | , | 21 | , | 23 | , | 26 |
42 | , | 02 | , | 04 | , | 06 | , | 08 | , | 10 | , | 12 | , | 14 | , | 16 | , | 18 | , | 20 | , | 22 | , | 24 |
45 | , | 02 | , | 03 | , | 05 | , | 07 | , | 09 | , | 11 | , | 12 | , | 14 | , | 16 | , | 18 | , | 20 | , | 22 |
48 | , | 02 | , | 03 | , | 05 | , | 07 | , | 08 | , | 10 | , | 11 | , | 12 | , | 14 | , | 16 | , | 18 | , | 20 |
51 | , | 01 | , | 02 | , | 04 | , | 06 | , | 07 | , | 08 | , | 10 | , | 11 | , | 13 | , | 14 | , | 16 | , | 18 |
55 | , | 01 | , | 02 | , | 04 | , | 05 | , | 06 | , | 07 | , | 08 | , | 09 | , | 11 | , | 13 | , | 14 | , | 15 |
59 | , | 01 | , | 02 | , | 03 | , | 04 | , | 05 | , | 06 | , | 07 | , | 08 | , | 10 | , | 11 | , | 12 | , | 13 |
63 | , | 01 | , | 01 | , | 02 | , | 03 | , | 04 | , | 05 | , | 06 | , | 07 | , | 08 | , | 09 | , | 10 | , | 11 |
68 | , | 01 | , | 01 | , | 01 | , | 02 | , | 03 | , | 03 | , | 04 | , | 05 | , | 06 | , | 07 | , | 08 | , | 09 |
74 | , | 00 | , | 01 | , | 01 | , | 02 | , | 02 | , | 02 | , | 03 | , | 03 | , | 04 | , | 05 | , | 05 | , | 06 |
80 | , | 00 | , | 01 | , | 01 | , | 01 | , | 02 | , | 02 | , | 02 | , | 03 | , | 03 | , | 03 | , | 04 | , | 04 |
Or the Numbers may be found by dividing the natural Tangent of the Declination by the natural Tangent of the Latitude. |
X
[page] 162
TABLE XXIII. For correcting the Latitude computed from the Latitude by Account, two observed Altitudes of the Sun, and the Interval of Time between them. | ||||||||||||||||||||||||
The Argument on the Top is the Degree of the Declination, and that on the Side is the Degree of the computed Latitude. | ||||||||||||||||||||||||
The Sum or Difference of Unity, and the Number found by this Table muft be taken: The Sum, when the Latitude and Declination are of different Names, and the Difference when of the same; except ⊙ under Pole, take Sum. | ||||||||||||||||||||||||
D. | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 23 28 | ||||||||||||
1 | 13, | 2 | 14, | 3 | 15, | 3 | 16, | 4 | 17, | 5 | 18, | 6 | 19, | 7 | 20, | 9 | 22, | 0 | 23, | 1 | 24, | 3 | 24, | 8 |
2 | 6, | 6 | 7, | 1 | 7, | 7 | 8, | 2 | 8, | 8 | 9, | 3 | 9, | 9 | 10, | 4 | 11, | 0 | 11, | 6 | 12, | 2 | 12, | 5 |
3 | 4, | 4 | 4, | 8 | 5, | 1 | 5, | 5 | 5, | 8 | 6, | 2 | 6, | 6 | 6, | 9 | 7, | 3 | 7, | 7 | 8, | 1 | 8, | 3 |
4 | 3, | 3 | 3, | 6 | 3, | 8 | 4, | 1 | 4, | 4 | 4, | 6 | 4, | 9 | 5, | 2 | 5, | 5 | 5, | 8 | 6, | 1 | 6, | 2 |
5 | 2, | 6 | 2, | 8 | 3, | 1 | 3, | 3 | 3, | 5 | 3, | 7 | 3, | 9 | 4, | 2 | 4, | 4 | 4, | 6 | 4, | 9 | 5, | 0 |
6 | 2, | 2 | 2, | 4 | 2, | 5 | 2, | 7 | 2, | 9 | 3, | 1 | 3, | 3 | 3, | 5 | 3, | 7 | 3, | 8 | 4, | 0 | 4, | 1 |
7 | 1, | 88 | 2, | 0 | 2, | 2 | 2, | 3 | 2, | 5 | 2, | 6 | 2, | 8 | 2, | 9 | 3, | 1 | 3, | 3 | 3, | 4 | 3, | 5 |
8 | 1, | 64 | 1, | 77 | 1, | 91 | 2, | 1 | 2, | 2 | 2, | 3 | 2, | 5 | 2, | 6 | 2, | 7 | 2, | 9 | 3, | 0 | 3, | 1 |
9 | 1, | 46 | 1, | 57 | 1, | 69 | 1, | 81 | 1, | 93 | 2, | 1 | 2, | 2 | 2, | 3 | 2, | 4 | 2, | 6 | 2, | 7 | 2, | 7 |
10 | 1, | 31 | 1, | 42 | 1, | 55 | 1, | 63 | 1, | 73 | 1, | 84 | 1, | 95 | 2, | 1 | 2, | 2 | 2, | 3 | 2, | 4 | 2, | 5 |
11 | 1, | 19 | 1, | 28 | 1, | 37 | 1, | 47 | 1, | 57 | 1, | 66 | 1, | 76 | 1, | 88 | 1, | 98 | 2, | 1 | 2, | 2 | 2, | 2 |
12 | 1, | 09 | 1, | 18 | 1, | 26 | 1, | 35 | 1, | 44 | 1, | 53 | 1, | 62 | 1, | 71 | 1, | 80 | 1, | 90 | 1, | 99 | 2, | 00 |
13 | 1, | 00 | 1, | 08 | 1, | 16 | 1, | 24 | 1, | 33 | 1, | 41 | 1, | 49 | 1, | 57 | 1, | 66 | 1, | 74 | 1, | 83 | 1, | 87 |
14 | , | 93 | 1, | 00 | 1, | 07 | 1, | 15 | 1, | 23 | 1, | 30 | 1, | 38 | 1, | 46 | 1, | 54 | 1, | 62 | 1, | 70 | 1, | 72 |
15 | , | 86 | , | 93 | 1, | 00 | 1, | 06 | 1, | 14 | 1, | 21 | 1, | 28 | 1, | 36 | 1, | 43 | 1, | 51 | 1, | 59 | 1, | 63 |
16 | , | 81 | , | 87 | , | 94 | 1, | 00 | 1, | 06 | 1, | 13 | 1, | 20 | 1, | 27 | 1, | 34 | 1, | 41 | 1, | 48 | 1, | 51 |
17 | , | 75 | , | 81 | , | 88 | , | 93 | 1, | 00 | 1, | 06 | 1, | 12 | 1, | 18 | 1, | 26 | 1, | 32 | 1, | 38 | 1, | 41 |
18 | , | 71 | , | 76 | , | 83 | , | 88 | , | 94 | 1, | 00 | 1, | 06 | 1, | 12 | 1, | 19 | 1, | 24 | 1, | 30 | 1, | 33 |
19 | , | 67 | , | 72 | , | 78 | , | 83 | , | 89 | , | 94 | 1, | 00 | 1, | 06 | 1, | 12 | 1, | 17 | 1, | 23 | 1, | 25 |
20 | , | 63 | , | 68 | , | 74 | , | 79 | , | 84 | , | 89 | , | 95 | 1, | 00 | 1, | 06 | 1, | 11 | 1, | 16 | 1, | 18 |
21 | , | 60 | , | 65 | , | 70 | , | 75 | , | 80 | , | 85 | , | 90 | , | 95 | 1, | 00 | 1, | 05 | 1, | 10 | 1, | 12 |
22 | , | 57 | , | 62 | , | 66 | , | 71 | , | 75 | , | 81 | , | 85 | , | 90 | , | 95 | 1, | 00 | 1, | 05 | 1, | 07 |
23 | , | 56 | , | 59 | , | 63 | , | 67 | , | 71 | , | 77 | , | 81 | , | 86 | , | 90 | , | 95 | 1, | 00 | 1, | 02 |
24 | , | 51 | , | 56 | , | 60 | , | 64 | , | 68 | , | 73 | , | 77 | , | 82 | , | 86 | , | 91 | , | 95 | , | 97 |
25 | , | 49 | , | 53 | , | 57 | , | 61 | , | 66 | , | 70 | , | 74 | , | 78 | , | 82 | , | 87 | , | 91 | , | 93 |
26 | , | 47 | , | 51 | , | 55 | , | 58 | , | 63 | , | 67 | , | 70 | , | 74 | , | 78 | , | 83 | , | 87 | , | 89 |
27 | , | 45 | , | 49 | , | 53 | , | 56 | , | 60 | , | 64 | , | 67 | , | 71 | , | 75 | , | 79 | , | 83 | , | 85 |
28 | , | 43 | , | 47 | , | 50 | , | 54 | , | 57 | , | 61 | , | 64 | , | 68 | , | 72 | , | 76 | , | 79 | , | 81 |
29 | , | 42 | , | 45 | , | 48 | , | 52 | , | 55 | , | 59 | , | 62 | , | 66 | , | 69 | , | 73 | , | 76 | , | 78 |
30 | , | 41 | , | 43 | , | 46 | , | 50 | , | 53 | , | 57 | , | 60 | , | 64 | , | 66 | , | 70 | , | 73 | , | 75 |
32 | , | 37 | , | 40 | , | 43 | , | 46 | , | 49 | , | 52 | , | 55 | , | 58 | , | 61 | , | 64 | , | 67 | , | 69 |
34 | , | 34 | , | 36 | , | 39 | , | 42 | , | 45 | , | 48 | , | 51 | , | 54 | , | 57 | , | 59 | , | 62 | , | 63 |
36 | , | 32 | , | 34 | , | 37 | , | 39 | , | 42 | , | 45 | , | 47 | , | 50 | , | 53 | , | 55 | , | 58 | , | 59 |
38 | , | 29 | , | 32 | , | 34 | , | 36 | , | 39 | , | 41 | , | 43 | , | 46 | , | 49 | , | 51 | , | 54 | , | 55 |
40 | , | 27 | , | 30 | , | 32 | , | 34 | , | 36 | , | 38 | , | 40 | , | 43 | , | 45 | , | 48 | , | 50 | , | 51 |
42 | , | 26 | , | 28 | , | 30 | , | 32 | , | 34 | , | 36 | , | 38 | , | 40 | , | 43 | , | 45 | , | 47 | , | 48 |
45 | , | 23 | , | 25 | , | 27 | , | 29 | , | 31 | , | 32 | , | 34 | , | 36 | , | 38 | , | 40 | , | 42 | , | 43 |
48 | , | 21 | , | 22 | , | 24 | , | 26 | , | 28 | , | 30 | , | 31 | , | 32 | , | 34 | , | 36 | , | 38 | , | 39 |
51 | , | 19 | , | 20 | , | 22 | , | 23 | , | 25 | , | 26 | , | 28 | , | 29 | , | 31 | , | 32 | , | 34 | , | 35 |
55 | , | 16 | , | 17 | , | 19 | , | 20 | , | 21 | , | 22 | , | 24 | , | 25 | , | 27 | , | 28 | , | 30 | , | 31 |
59 | , | 14 | , | 15 | , | 16 | , | 17 | , | 18 | , | 19 | , | 20 | , | 21 | , | 23 | , | 24 | , | 26 | , | 27 |
63 | , | 12 | , | 13 | , | 14 | , | 15 | , | 16 | , | 17 | , | 18 | , | 19 | , | 20 | , | 21 | , | 22 | , | 23 |
68 | , | 09 | , | 10 | , | 11 | , | 11 | , | 12 | , | 13 | , | 14 | , | 15 | , | 16 | , | 17 | , | 18 | , | 18 |
74 | , | 06 | , | 06 | , | 07 | , | 07 | , | 08 | , | 08 | , | 09 | , | 09 | , | 10 | , | 11 | , | 12 | , | 12 |
80 | , | 04 | , | 04 | , | 04 | , | 04 | , | 05 | , | 05 | , | 06 | , | 06 | , | 07 | , | 07 | , | 08 | , | 08 |
Or the Numbers may be found by dividing the natural Tangent of the Declination by the natural Tangent of the Latitude. |
[page] 163
TABLE XXIV. For correcting the Latitude computed from two Altitudes of the Sun, &c. To be used when the Observations are on the same Side of Noon. | |||||||||||||||||||||||||||||||||||||
The Argument on the Top of the Table, is the Time nearest Noon, and that on the Side is the middle Time. | |||||||||||||||||||||||||||||||||||||
h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ |
0. | 10 | 0. | 20 | 0. | 30 | 0. | 40 | 0. | 50 | 1. | 0 | 1. | 10 | 1. | 20 | 1. | 30 | 1. | 40 | 1. | 50 | 2. | 0 | 2. | 10 | 2. | 20 | 2. | 30 | 2. | 40 | 2. | 50 | 3. | 0 | ||
0. | 10 | ||||||||||||||||||||||||||||||||||||
20 | , | 003 | |||||||||||||||||||||||||||||||||||
30 | , | 005 | , | 008 | |||||||||||||||||||||||||||||||||
0. | 40 | , | 007 | , | 012 | , | 014 | ||||||||||||||||||||||||||||||
50 | , | 009 | , | 016 | , | 020 | , | 023 | |||||||||||||||||||||||||||||
1. | 0 | , | 011 | , | 020 | , | 026 | , | 031 | , | 034 | ||||||||||||||||||||||||||
1. | 10 | , | 013 | , | 024 | , | 033 | , | 040 | , | 045 | , | 048 | ||||||||||||||||||||||||
20 | , | 015 | , | 028 | , | 039 | , | 048 | , | 055 | , | 060 | , | 063 | |||||||||||||||||||||||
30 | , | 017 | , | 032 | , | 045 | , | 057 | , | 066 | , | 073 | , | 078 | , | 081 | |||||||||||||||||||||
1. | 40 | , | 019 | , | 037 | , | 053 | , | 066 | , | 077 | , | 087 | , | 094 | , | 099 | , | 102 | ||||||||||||||||||
50 | , | 022 | , | 042 | , | 059 | , | 075 | , | 089 | , | 101 | , | 110 | , | 118 | , | 123 | , | 126 | |||||||||||||||||
2. | 0 | , | 024 | , | 047 | , | 067 | , | 085 | , | 101 | , | 115 | , | 127 | , | 137 | , | 145 | , | 150 | , | 154 | ||||||||||||||
2. | 10 | , | 027 | , | 052 | , | 074 | , | 095 | , | 114 | , | 131 | , | 145 | , | 158 | , | 168 | , | 176 | , | 181 | , | 185 | ||||||||||||
20 | , | 030 | , | 057 | , | 083 | , | 106 | , | 128 | , | 147 | , | 164 | , | 179 | , | 192 | , | 202 | , | 210 | , | 216 | , | 220 | |||||||||||
30 | , | 033 | , | 063 | , | 092 | , | 118 | , | 142 | , | 165 | , | 185 | , | 202 | , | 218 | , | 231 | , | 241 | , | 250 | , | 256 | |||||||||||
2. | 40 | , | 036 | , | 069 | , | 101 | , | 130 | , | 158 | , | 183 | , | 206 | , | 227 | , | 245 | , | 261 | , | 274 | , | 286 | , | 294 | ||||||||||
50 | , | 039 | , | 076 | , | 111 | , | 144 | , | 175 | , | 203 | , | 229 | , | 253 | , | 275 | , | 294 | , | 310 | , | 324 | , | 336 | |||||||||||
3. | 0 | 043 | , | 083 | , | 122 | , | 158 | , | 193 | , | 225 | , | 254 | , | 282 | , | 307 | , | 329 | , | 349 | , | 366 | , | 381 | |||||||||||
3. | 10 | , | 091 | , | 134 | , | 174 | , | 212 | , | 248 | , | 282 | , | 313 | , | 342 | , | 367 | , | 391 | , | 412 | , | 430 | ||||||||||||
20 | , | 147 | , | 192 | , | 234 | , | 274 | , | 312 | , | 347 | , | 380 | , | 410 | , | 437 | , | 462 | , | 484 | , | 503 | |||||||||||||
30 | , | 211 | , | 258 | , | 303 | , | 346 | , | 386 | , | 423 | , | 457 | , | 489 | , | 518 | , | 544 | , | 567 | , | 587 | |||||||||||||
3. | 40 | , | 285 | , | 336 | , | 383 | , | 428 | , | 470 | , | 510 | , | 546 | , | 580 | , | 611 | , | 638 | , | 663 | , | 684 | ||||||||||||
50 | , | 372 | , | 425 | , | 477 | , | 525 | , | 570 | , | 612 | , | 651 | , | 687 | , | 719 | , | 749 | , | 775 | , | 797 | |||||||||||||
4. | 0 | , | 474 | , | 532 | , | 587 | , | 638 | , | 687 | , | 732 | , | 774 | , | 812 | , | 847 | , | 880 | , | 907 | , | 932 | ||||||||||||
4. | 10 | , | 597 | , | 659 | , | 718 | , | 774 | , | 826 | , | 876 | , | 920 | , | 961 | 1, | 001 | 1, | 035 | 1, | 065 | ||||||||||||||
20 | , | 745 | , | 812 | , | 877 | , | 938 | , | 996 | 1, | 049 | 1, | 099 | 1, | 144 | 1, | 186 | 1, | 224 | |||||||||||||||||
30 | , | 927 | 1, | 002 | 1, | 073 | 1, | 140 | 1, | 203 | 1, | 263 | 1, | 317 | 1, | 368 | 1, | 414 |
X 2
[page] 164
TABLE XXV. For correcting the Latitude computed from two observed Altitudes of the Sun, &c. | |||||||||||||||||||||||||||
To be used when the observations are on different Sides of Noon. | |||||||||||||||||||||||||||
The Argument on the Top of the Table is the Time nearest Noon, and that on the Side is the Middle Time. | |||||||||||||||||||||||||||
h | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | h | ′ | |
′ | 0 | 10 | 0 | 20 | 0 | 30 | 0 | 40 | 0 | 50 | 1 | 0 | 1 | 10 | 1 | 20 | 1 | 30 | 1 | 40 | 1 | 50 | 2 | 0 | 2 | 10 | |
0. | 10 | , | 003 | , | 008 | , | 014 | , | 023 | , | 033 | , | 045 | , | 059 | , | 075 | , | 093 | , | 112 | , | 133 | , | 156 | , | 180 |
0. | 20 | , | 005 | , | 011 | , | 020 | , | 030 | , | 043 | , | 057 | , | 073 | , | 090 | , | 110 | , | 131 | , | 153 | , | 178 | , | 204 |
0. | 30 | , | 007 | , | 015 | , | 026 | , | 038 | , | 052 | , | 068 | , | 086 | , | 105 | , | 126 | , | 149 | , | 174 | , | 200 | ||
0. | 40 | , | 009 | , | 019 | , | 032 | , | 046 | , | 062 | , | 080 | , | 099 | , | 121 | , | 144 | , | 168 | , | 194 | ||||
0. | 50 | , | 011 | , | 023 | , | 037 | , | 054 | , | 072 | , | 091 | , | 113 | , | 136 | , | 161 | , | 187 | ||||||
1. | 0 | , | 013 | , | 027 | , | 044 | , | 062 | , | 082 | , | 103 | , | 127 | , | 152 | , | 179 | ||||||||
1. | 10 | , | 015 | , | 031 | , | 050 | , | 070 | , | 092 | , | 116 | , | 141 | , | 168 | ||||||||||
1. | 20 | , | 017 | , | 036 | , | 056 | , | 078 | , | 102 | , | 128 | , | 156 | ||||||||||||
1. | 30 | , | 019 | , | 040 | , | 063 | , | 087 | , | 113 | , | 141 | ||||||||||||||
1. | 40 | , | 021 | , | 044 | , | 069 | , | 096 | , | 125 | ||||||||||||||||
1. | 50 | , | 024 | , | 049 | , | 077 | , | 106 | ||||||||||||||||||
2. | 00 | , | 026 | , | 054 | , | 084 | ||||||||||||||||||||
2. | 10 | , | 029 | , | 059 | ||||||||||||||||||||||
Divide the Sum, or Difference of Unity, and the Number found in Table XXIII, by the Number from Table XXIV or XXV. |
[page] 165
TABLE XXVI. For correcting the apparent Diftance of the Moon from a Fixed Star. | |||||||||||||
App. Alt. of Star. | Logarithm | Diff. | App. alt. of Star. | Logarithm | Diff. | App. alt. of Star. | Logarithm | Diff. | |||||
° | ′ | ° | ′ | ° | |||||||||
3 | 0 | 2. | 0713 | 75 | 9 | 0 | 1. | 9906 | 5 | 35 | 1. | 9776 | 0 |
3 | 10 | 2. | 0638 | 66 | 9 | 10 | 1. | 9901 | 5 | 36 | 1. | 9776 | 1 |
3 | 20 | 2. | 0572 | 60 | 9 | 20 | 1. | 9896 | 4 | 37 | 1. | 9775 | 0 |
3 | 30 | 2. | 0512 | 53 | 9 | 30 | 1. | 9892 | 4 | 38 | 1. | 9775 | 1 |
3 | 40 | 2. | 0459 | 48 | 9 | 40 | 1. | 9888 | 4 | 39 | 1. | 9774 | 0 |
3 | 50 | 2. | 0411 | 44 | 9 | 50 | 1. | 9884 | 4 | 40 | 1. | 9774 | 0 |
4 | 0 | 2. | 0367 | 39 | 10 | 0 | 1. | 9880 | 10 | 41 | 1. | 9774 | 1 |
4 | 10 | 2. | 0328 | 36 | 10 | 30 | 1. | 9870 | 9 | 42 | 1. | 9773 | 0 |
4 | 20 | 2. | 0292 | 33 | 11 | 0 | 1. | 9861 | 8 | 43 | 1. | 9773 | 0 |
4 | 30 | 2. | 0259 | 30 | 11 | 30 | 1. | 9853 | 7 | 44 | 1. | 9773 | 1 |
4 | 40 | 2. | 0229 | 27 | 12 | 0 | 1. | 9846 | 6 | 45 | 1. | 9772 | 0 |
4 | 50 | 2. | 0202 | 24 | 12 | 30 | 1. | 9840 | 5 | 46 | 1. | 9772 | 0 |
5 | 0 | 2. | 0178 | 22 | 13 | 0 | 1. | 9835 | 5 | 47 | 1. | 9772 | 1 |
5 | 10 | 2. | 0156 | 22 | 13 | 30 | 1. | 9830 | 5 | 48 | 1. | 9771 | 0 |
5 | 20 | 2. | 0134 | 19 | 14 | 0 | 1. | 9825 | 4 | 49 | 1. | 9771 | 0 |
5 | 30 | 2. | 0115 | 19 | 14 | 30 | 1. | 9821 | 3 | 50 | 1. | 9771 | 0 |
5 | 40 | 2. | 0096 | 16 | 15 | 0 | 1. | 9818 | 6 | 51 | 1. | 9771 | 0 |
5 | 50 | 2. | 0080 | 17 | 16 | 0 | 1. | 9812 | 5 | 52 | 1. | 9771 | 0 |
6 | 0 | 2. | 0063 | 14 | 17 | 0 | 1. | 9807 | 5 | 53 | 1. | 9771 | 0 |
6 | 10 | 2. | 0049 | 14 | 18 | 0 | 1. | 9802 | 3 | 54 | 1. | 9771 | 1 |
6 | 20 | 2. | 0035 | 12 | 19 | 0 | 1. | 9799 | 4 | 55 | 1. | 9770 | 0 |
6 | 30 | 2. | 0023 | 13 | 20 | 0 | 1. | 9795 | 2 | 56 | 1. | 9770 | 0 |
6 | 40 | 2. | 0010 | 10 | 21 | 0 | 1. | 9793 | 2 | 57 | 1. | 9770 | 0 |
6 | 50 | 2. | 0000 | 11 | 22 | 0 | 1. | 9791 | 2 | 58 | 1. | 9770 | 0 |
7 | 0 | 1. | 9989 | 9 | 23 | 0 | 1. | 9789 | 2 | 59 | 1. | 9770 | 0 |
7 | 10 | 1. | 9980 | 9 | 24 | 0 | 1. | 9787 | 2 | 60 | 1. | 9770 | 0 |
7 | 20 | 1. | 9971 | 8 | 25 | 0 | 1. | 9785 | 1 | 61 | 1. | 9770 | 0 |
7 | 30 | 1. | 9963 | 9 | 26 | 0 | 1. | 9784 | 2 | 62 | 1. | 9770 | 0 |
7 | 40 | 1. | 9954 | 7 | 27 | 0 | 1. | 9782 | 1 | 63 | 1. | 9770 | 0 |
7 | 50 | 1. | 9947 | 7 | 28 | 0 | 1. | 9781 | 0 | 64 | 1. | 9770 | 0 |
8 | 0 | 1. | 9940 | 6 | 29 | 0 | 1. | 9781 | 2 | 65 | 1. | 9770 | 0 |
8 | 10 | 1. | 9934 | 7 | 30 | 0 | 1. | 9779 | 0 | 66 | 1. | 9770 | 1 |
8 | 20 | 1. | 9927 | 5 | 31 | 0 | 1. | 9779 | 1 | 67 | 1. | 9769 | 0 |
8 | 30 | 1. | 9922 | 6 | 32 | 0 | 1. | 9778 | 0 | 68 | 1. | 9769 | 0 |
8 | 40 | 1. | 9916 | 5 | 33 | 0 | 1. | 9778 | 1 | 90 | 1. | 9769 | |
8 | 50 | 1. | 9911 | 5 | 34 | 0 | 1. | 9777 | 1 |
[page] 166
TABLE XXVII. For correcting the apparent Distance of the Moon from the Sun. | |||||||||||||
App. Alt. of Sun. | Logarithm | Diff. | App. alt. of Sun. | Logarithm | Diff. | App. alt. of Sun. | Logarithm | Diff. | |||||
- | |||||||||||||
° | ′ | - | ° | ′ | + | ° | + | ||||||
3 | 0 | 2. | 0757 | 73 | 10 | 30 | 2. | 0000 | 2 | 49 | 2. | 0323 | 9 |
3 | 10 | 2. | 0684 | 64 | 11 | 0 | 1. | 9998 | 3 | 50 | 2. | 0332 | 8 |
3 | 20 | 2. | 0620 | 59 | 11 | 30 | 1. | 9995 | 1 | 51 | 2. | 0340 | 9 |
3 | 30 | 2. | 0561 | 51 | 12 | 0 | 1. | 9994 | 0 | 52 | 2. | 0349 | 8 |
+ | |||||||||||||
3 | 40 | 2. | 0510 | 46 | 12 | 30 | 1. | 9994 | 1 | 53 | 2. | 0357 | 8 |
3 | 50 | 2. | 0464 | 42 | 13 | 0 | 1. | 9995 | 1 | 54 | 2. | 0365 | 7 |
4 | 0 | 2. | 0422 | 37 | 13 | 30 | 1. | 9996 | 0 | 55 | 2. | 0372 | 8 |
4 | 10 | 2. | 0385 | 34 | 14 | 0 | 1. | 9996 | 2 | 56 | 2. | 0380 | 7 |
4 | 20 | 2. | 0351 | 32 | 14 | 30 | 1. | 9998 | 3 | 57 | 2. | 0387 | 7 |
4 | 30 | 2. | 0319 | 28 | 15 | 0 | 2. | 0001 | 6 | 58 | 2. | 0394 | 8 |
4 | 40 | 2. | 0291 | 25 | 16 | 0 | 2. | 0007 | 7 | 59 | 2. | 0402 | 7 |
4 | 50 | 2. | 0266 | 22 | 17 | 0 | 2. | 0014 | 7 | 60 | 2. | 0409 | 7 |
5 | 0 | 2. | 0244 | 20 | 18 | 0 | 2. | 0021 | 9 | 61 | 2. | 0416 | 6 |
5 | 10 | 2. | 0224 | 20 | 19 | 0 | 2. | 0030 | 8 | 62 | 2. | 0422 | 7 |
5 | 20 | 2. | 0204 | 18 | 20 | 0 | 2. | 0038 | 9 | 63 | 2. | 0429 | 6 |
5 | 30 | 2. | 0186 | 17 | 21 | 0 | 2. | 0047 | 10 | 64 | 2. | 0435 | 6 |
5 | 40 | 2. | 0169 | 14 | 22 | 0 | 2. | 0057 | 10 | 65 | 2. | 0441 | 6 |
5 | 50 | 2. | 0155 | 15 | 23 | 0 | 2. | 0067 | 10 | 66 | 2. | 0447 | 5 |
6 | 0 | 2. | 0140 | 12 | 24 | 0 | 2. | 0077 | 9 | 67 | 2. | 0452 | 5 |
6 | 10 | 2. | 0128 | 12 | 25 | 0 | 2. | 0086 | 10 | 68 | 2. | 0457 | 5 |
6 | 20 | 2. | 0116 | 11 | 26 | 0 | 2. | 0096 | 10 | 69 | 2. | 0462 | 5 |
6 | 30 | 2. | 0105 | 11 | 27 | 0 | 2. | 0106 | 10 | 70 | 2. | 0467 | 5 |
6 | 40 | 2. | 0094 | 8 | 28 | 0 | 2. | 0116 | 11 | 71 | 2. | 0472 | 4 |
6 | 50 | 2. | 0086 | 9 | 29 | 0 | 2. | 0127 | 10 | 72 | 2. | 0476 | 4 |
7 | 0 | 2. | 0077 | 7 | 30 | 0 | 2. | 0137 | 11 | 73 | 2. | 0480 | 4 |
7 | 10 | 2. | 0070 | 7 | 31 | 0 | 2. | 0148 | 10 | 74 | 2. | 0484 | 4 |
7 | 20 | 2. | 0063 | 6 | 32 | 0 | 2. | 0158 | 11 | 75 | 2. | 0488 | 3 |
7 | 30 | 2. | 0057 | 6 | 33 | 0 | 2. | 0169 | 10 | 76 | 2. | 0491 | 4 |
7 | 40 | 2. | 0051 | 5 | 34 | 0 | 2. | 0179 | 10 | 77 | 2. | 0495 | 3 |
7 | 50 | 2. | 0046 | 5 | 35 | 0 | 2. | 0189 | 10 | 78 | 2. | 0498 | 2 |
8 | 0 | 2. | 0041 | 4 | 36 | 0 | 2. | 0199 | 10 | 79 | 2. | 0500 | 3 |
8 | 10 | 2. | 0037 | 5 | 37 | 0 | 2. | 0209 | 11 | 80 | 2. | 0503 | 2 |
8 | 20 | 2. | 0032 | 4 | 38 | 0 | 2. | 0220 | 10 | 81 | 2. | 0505 | 2 |
8 | 30 | 2. | 0028 | 4 | 39 | 0 | 2. | 0230 | 10 | 82 | 2. | 0507 | 2 |
8 | 40 | 2. | 0024 | 3 | 40 | 0 | 2. | 0240 | 10 | 83 | 2. | 0509 | 2 |
8 | 50 | 2. | 0021 | 3 | 41 | 0 | 2. | 0250 | 9 | 84 | 2. | 0511 | 1 |
9 | 0 | 2. | 0018 | 3 | 42 | 0 | 2. | 0259 | 10 | 85 | 2. | 0512 | 1 |
9 | 10 | 2. | 0015 | 3 | 43 | 0 | 2. | 0269 | 9 | 86 | 2. | 0513 | 1 |
9 | 20 | 2. | 0012 | 2 | 44 | 0 | 2. | 0278 | 9 | 87 | 2. | 0514 | 0 |
9 | 30 | 2. | 0010 | 2 | 45 | 0 | 2. | 0287 | 9 | 88 | 2. | 0514 | 1 |
9 | 40 | 2. | 0008 | 2 | 46 | 0 | 2. | 0296 | 10 | 89 | 2. | 0515 | 0 |
9 | 50 | 2. | 0006 | 2 | 47 | 0 | 2. | 0306 | 8 | 90 | 2. | 0515 | |
10 | 0 | 2. | 0004 | 48 | 0 | 2. | 0314 |
[page] 167
TABLE XXVIII. For correcting the apparent Diftance of the Moon from the Sun or a Fixed Star. | |||||||||||||
App. Alt. of ![]() |
Diff. | App. alt. of ![]() |
Diff. | App. alt. of ![]() |
Diff. | ||||||||
– | – | – | |||||||||||
° | ″ | ′ | ″ | ″ | ° | ″ | ° | ″ | ″ | ° | ′ | ″ | ″ |
3 | 0 | 14 | 36 | 32 | 10 | 30 | 5 | 5 | 13 | 49 | 1 | 15 | 1 |
3 | 10 | 14 | 4 | 30 | 11 | 0 | 4 | 52 | 12 | 50 | 1 | 14 | 1 |
3 | 20 | 13 | 34 | 28 | 11 | 30 | 4 | 40 | 11 | 51 | 1 | 13 | 1 |
3 | 30 | 13 | 6 | 26 | 12 | 0 | 4 | 29 | 10 | 52 | 1 | 12 | 1 |
3 | 40 | 12 | 40 | 25 | 12 | 30 | 4 | 19 | 10 | 53 | 1 | 11 | 1 |
3 | 50 | 12 | 15 | 24 | 13 | 0 | 4 | 9 | 9 | 54 | 1 | 10 | 1 |
4 | 0 | 11 | 51 | 22 | 13 | 30 | 4 | 0 | 8 | 51 | 1 | 9 | 0 |
4 | 10 | 11 | 29 | 21 | 14 | 0 | 3 | 52 | 7 | 56 | 1 | 9 | 1 |
4 | 20 | 11 | 8 | 20 | 14 | 30 | 3 | 45 | 8 | 57 | 1 | 8 | 1 |
4 | 30 | 10 | 48 | 19 | 15 | 0 | 3 | 37 | 13 | 58 | 1 | 7 | 1 |
4 | 40 | 10 | 29 | 17 | 16 | 0 | 3 | 24 | 11 | 59 | 1 | 6 | 0 |
4 | 50 | 10 | 12 | 17 | 17 | 0 | 3 | 13 | 10 | 60 | 1 | 6 | 1 |
5 | 0 | 9 | 55 | 16 | 18 | 0 | 3 | 3 | 9 | 61 | 1 | 5 | 1 |
5 | 10 | 9 | 39 | 16 | 19 | 0 | 2 | 54 | 9 | 62 | 1 | 4 | 0 |
5 | 20 | 9 | 23 | 14 | 20 | 0 | 2 | 45 | 7 | 63 | 1 | 4 | 1 |
5 | 30 | 9 | 9 | 14 | 21 | 0 | 2 | 38 | 7 | 64 | 1 | 3 | 0 |
5 | 40 | 8 | 55 | 13 | 22 | 0 | 2 | 31 | 6 | 65 | 1 | 3 | 1 |
5 | 50 | 8 | 42 | 13 | 23 | 0 | 2 | 25 | 6 | 66 | 1 | 2 | 0 |
6 | 0 | 8 | 29 | 12 | 24 | 0 | 2 | 19 | 5 | 67 | 1 | 2 | 1 |
6 | 10 | 8 | 17 | 11 | 25 | 0 | 2 | 14 | 5 | 68 | 1 | 1 | 0 |
6 | 20 | 8 | 6 | 11 | 26 | 0 | 2 | 9 | 4 | 69 | 1 | 1 | 0 |
6 | 30 | 7 | 55 | 11 | 27 | 0 | 2 | 5 | 4 | 70 | 1 | 1 | 1 |
6 | 40 | 7 | 44 | 10 | 28 | 0 | 2 | 1 | 4 | 71 | 1 | 0 | 0 |
6 | 50 | 7 | 34 | 10 | 29 | 0 | 1 | 57 | 4 | 72 | 1 | 0 | 0 |
7 | 0 | 7 | 24 | 9 | 30 | 0 | 1 | 53 | 3 | 73 | 1 | 0 | 1 |
7 | 10 | 7 | 15 | 9 | 31 | 0 | 1 | 50 | 3 | 74 | 0 | 59 | 0 |
7 | 20 | 7 | 6 | 9 | 32 | 0 | 1 | 47 | 3 | 75 | 0 | 59 | 0 |
7 | 30 | 6 | 57 | 8 | 33 | 0 | 1 | 44 | 2 | 76 | 0 | 59 | 1 |
7 | 40 | 6 | 49 | 8 | 34 | 0 | 1 | 42 | 3 | 77 | 0 | 58 | 0 |
7 | 50 | 6 | 41 | 8 | 35 | 0 | 1 | 39 | 2 | 78 | 0 | 58 | 0 |
8 | 0 | 6 | 33 | 7 | 36 | 0 | 1 | 37 | 3 | 79 | 0 | 58 | 0 |
8 | 10 | 6 | 26 | 7 | 37 | 0 | 1 | 34 | 2 | 80 | 0 | 58 | 0 |
8 | 20 | 6 | 19 | 7 | 38 | 0 | 1 | 32 | 2 | 81 | 0 | 58 | 1 |
8 | 30 | 6 | 12 | 7 | 39 | 0 | 1 | 30 | 2 | 82 | 0 | 57 | 0 |
8 | 40 | 6 | 5 | 6 | 40 | 0 | 1 | 28 | 1 | 83 | 0 | 57 | 0 |
8 | 50 | 5 | 59 | 6 | 41 | 0 | 1 | 27 | 2 | 84 | 0 | 57 | 0 |
9 | 0 | 5 | 53 | 6 | 42 | 0 | 1 | 25 | 2 | 85 | 0 | 57 | 0 |
9 | 10 | 5 | 47 | 6 | 43 | 0 | 1 | 23 | 1 | 86 | 0 | 57 | 0 |
9 | 20 | 5 | 41 | 6 | 44 | 0 | 1 | 22 | 2 | 87 | 0 | 57 | 0 |
9 | 30 | 5 | 35 | 5 | 45 | 0 | 1 | 20 | 1 | 88 | 0 | 57 | 0 |
9 | 40 | 5 | 30 | 5 | 46 | 0 | 1 | 19 | 1 | 89 | 0 | 57 | 0 |
9 | 50 | 5 | 25 | 5 | 47 | 0 | 1 | 18 | 1 | 90 | 0 | 57 | |
10 | 0 | 5 | 20 | 48 | 0 | 1 | 17 |
[page 168]
[page 169]
CONTAINING
WITH
FROM THE
MERIDIAN of the ROYAL OBSERVATORY at GREENWICH:
ALSO,
THE TIME OF HIGH WATER
AT
THE FULL AND CHANCE OF THE MOON,
AT THOSE PLACES WHERE IT IS KNOWN.
Y
[page] 170
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
A | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitude. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Aalborg | Europe | Denmark | 57 | 2 | 57 | N | 9 | 56 | 30 | E | 0 | 39 | 46 | E | ||
Aahuus | Europe | Denmark | 56 | 9 | 35 | N | 10 | 14 | 0 | E | 0 | 40 | 56 | E | ||
Aberdeen | Europe | Scotland | 57 | 5 | 0 | N | 2 | 21 | 30 | W | 0 | 9 | 26 | W | 0 | 45 |
Abbeville | Europe | France | 50 | 7 | 4 | N | 1 | 49 | 45 | E | 0 | 7 | 19 | E | 10 | 30 |
Abo | Europe | Findland | 60 | 27 | 7 | N | 22 | 15 | 00 | E | 1 | 29 | 00 | E | ||
Acheen Head | Asia | Sumatra | 5 | 22 | 0 | N | 95 | 26 | 0 | E | 6 | 21 | 44 | E | ||
Adventure (Bay) | Asia | N. Holland | 43 | 21 | 20 | S | 147 | 31 | 40 | E | 9 | 50 | 7 | E | ||
Adventure (Isle) | Amer. | Pacific Ocean | 17 | 5 | 15 | S | 144 | 17 | 45 | W | 9 | 37 | 11 | W | ||
Aerschot | Europe | Netherlands | 50 | 59 | 15 | N | 4 | 49 | 31 | E | 0 | 19 | 18 | E | ||
Agde | Europe | France | 43 | 18 | 43 | N | 3 | 27 | 55 | E | 0 | 13 | 52 | E | ||
Agen | Europe | France | 44 | 12 | 22 | N | 0 | 36 | 20 | E | 0 | 2 | 25 | E | ||
Agimere | Asia | Agimere | 26 | 35 | 0 | N | 75 | 20 | 0 | E | 5 | 1 | 20 | E | ||
St. Agnes (Lights) | Europe | Scillies | 49 | 53 | 47 | N | 6 | 20 | 30 | W | 0 | 25 | 22 | W | ||
Agra | Asia | India | 27 | 12 | 30 | N | 78 | 17 | 0 | E | 5 | 13 | 08 | E | ||
Agria | Europe | Hungary | 47 | 53 | 54 | N | 20 | 22 | 0 | E | 1 | 21 | 28 | E | ||
Aguada (Point) | Asia | India | 15 | 28 | 55 | N | 73 | 48 | 39 | E | 4 | 55 | 13 | E | ||
Aire | Europe | France | 43 | 41 | 52 | N | 0 | 15 | 45 | W | 0 | 1 | 3 | W | ||
Aix | Europe | France | 43 | 31 | 48 | N | 5 | 26 | 30 | E | 0 | 21 | 46 | E | ||
Aix (Isle) | Europe | France | 46 | 1 | 38 | N | 1 | 11 | 0 | W | 0 | 4 | 44 | W | ||
Akerman | Europe | Turkey | 46 | 11 | 58 | N | 30 | 43 | 45 | E | 2 | 2 | 55 | E | ||
Alais | Europe | France | 44 | 7 | 22 | N | 0 | 35 | 50 | E | 0 | 2 | 23 | E | ||
Albano | Europe | Italy | 41 | 43 | 50 | N | 12 | 38 | 0 | E | 0 | 50 | 32 | E | ||
Albany | Amer. | New Wales | 52 | 14 | 41 | N | 81 | 52 | 50 | W | 5 | 27 | 31 | W | ||
Albi | Europe | France | 43 | 55 | 36 | N | 2 | 8 | 18 | E | 0 | 8 | 33 | E | ||
Alkmaer | Europe | Holland | 52 | 38 | 34 | N | 4 | 38 | 0 | E | 0 | 18 | 32 | E | ||
Aleppo | Asia | Turkey | 36 | 11 | 25 | N | 37 | 10 | 0 | E | 2 | 28 | 40 | E | ||
Alexandretta | Asia | Syria | 36 | 34 | 47 | N | 36 | 14 | 45 | E | 2 | 24 | 59 | E | ||
Alexandria | Africa | Egypt | 31 | 11 | 20 | N | 30 | 10 | 15 | E | 2 | 0 | 41 | E | ||
Alez | Europe | France | 42 | 59 | 50 | N | 2 | 15 | 0 | E | 0 | 9 | 0 | E | ||
Algiers | Africa | Algiers | 36 | 49 | 30 | N | 2 | 12 | 45 | E | 0 | 8 | 51 | E | ||
Aloft | Europe | Netherlands | 50 | 56 | 18 | N | 4 | 1 | 58 | E | 0 | 16 | 8 | E | ||
Altengaard | Europe | Lapland | 69 | 55 | 0 | N | 23 | 4 | 0 | E | 1 | 32 | 16 | E | ||
Ambrym (Isle) | Asia | Pacific Ocean | 16 | 9 | 30 | S | 168 | 12 | 30 | E | 11 | 12 | 50 | E | ||
Amesbury | Europe | England | 51 | 10 | 19 | N | 1 | 46 | 37 | W | 0 | 7 | 6 | W | ||
Amiens | Europe | France | 49 | 53 | 38 | N | 2 | 17 | 56 | E | 0 | 9 | 12 | E | ||
Amsterdam | Europe | Holland | 52 | 21 | 56 | N | 4 | 51 | 30 | E | 0 | 19 | 26 | E | 3 | |
Amsterdam (Har.) | Amer. | Curazao | 12 | 8 | 0 | N | 68 | 20 | 30 | W | 4 | 33 | 22 | W | ||
Amsterdam (Isle) | Asia | Indian Ocean | 37 | 51 | 0 | S | 77 | 44 | 0 | E | 5 | 10 | 56 | E | ||
Anadirskoi Noss | Asia | Beering's Str. | 64 | 14 | 30 | N | 173 | 31 | 0 | W | 11 | 34 | 4 | W | ||
Ancona | Europe | Italy | 43 | 37 | 54 | N | 13 | 30 | 30 | E | 0 | 54 | 2 | E | ||
Andaman (Little) | Asia | Bengal Bay | 10 | 40 | 0 | N | 92 | 24 | 0 | E | 6 | 9 | 36 | E | ||
Anderson's Island | Amer. | Beering's Str. | 63 | 4 | 0 | N | 167 | 38 | 0 | W | 11 | 10 | 32 | W | ||
Anger Point | Asia | Java | 6 | 3 | 17 | S | 106 | 1 | 57 | E | 7 | 4 | 8 | E | ||
Angers | Europe | France | 47 | 28 | 8 | N | 0 | 33 | 52 | W | 0 | 2 | 15 | W | ||
Angouleme | Europe | France | 45 | 39 | 3 | N | 0 | 8 | 47 | E | 0 | 0 | 35 | E | ||
Angra | Europe | Tercera | 38 | 39 | 7 | N | 27 | 12 | 42 | W | 1 | 48 | 51 | W | ||
C. Angra Pequena | Africa | Caffraria | 26 | 36 | 50 | S | 15 | 16 | 30 | E | 1 | 1 | 6 | E | ||
Anholt (Lights) | Europe | Categat | 56 | 44 | 20 | N | 11 | 40 | 0 | E | 0 | 46 | 40 | E | ||
Angenga | Asia | India | 8 | 39 | 25 | N | 76 | 50 | 4 | E | 5 | 7 | 20 | E | ||
St. Ann (Cape) | Africa | Sierra Leone | 7 | 7 | 30 | N | 12 | 22 | 0 | W | 0 | 49 | 28 | W | ||
Annamaboe | Africa | Gold Coast | 5 | 9 | 52 | N | 1 | 39 | 4 | W | 0 | 6 | 36 | W | ||
Annamocka | Asia | Pacific Ocean | 20 | 15 | 20 | S | 174 | 45 | 0 | W | 11 | 39 | 0 | W | 6 | 0 |
Annobona | Africa | Atlantic Ocean | 1 | 25 | 0 | S | 5 | 45 | 0 | E | 0 | 23 | 0 | E | ||
St. Anthony's (Cape) | Amer. | Staten Land | 54 | 46 | 45 | S | ||||||||||
Antibes | Europe | France | 43 | 34 | 43 | N | 7 | 7 | 20 | E | 0 | 28 | 29 | E | ||
Antigua (St. John's) | Amer. | Carib Sea | 17 | 4 | 30 | N | 62 | 9 | 0 | W | 4 | 8 | 36 | W | ||
Anton. Gill's Bay | Africa | Madagascar | 15 | 27 | 23 | S | 50 | 23 | 15 | E | 3 | 21 | 33 | E | ||
Antwerp | Europe | Flanders | 51 | 13 | 18 | N | 4 | 24 | 15 | E | 0 | 17 | 37 | E | 6 | 0 |
Aor (Pulo) | Asia | Chinese Seas | 2 | 45 | 0 | N | 104 | 40 | 20 | E | 6 | 58 | 41 | E |
[page] 171
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Apæ (Isle) | Asia | Pacific Ocean | 16 | 46 | 15 | S | 168 | 27 | 30 | E | 11 | 13 | 50 | E | ||
Appenrade | Europe | Denmark | 55 | 2 | 57 | N | 9 | 26 | 4 | E | 0 | 37 | 44 | E | ||
C. Appollonia | Africa | Gold Coast | 4 | 59 | 12 | N | 3 | 10 | 11 | W | 0 | 12 | 41 | W | ||
F. Appollonia | Africa | Gold Coast | 4 | 59 | 14 | N | 3 | 4 | 37 | W | 0 | 12 | 18 | W | ||
Apt | Europe | France | 43 | 52 | 29 | N | 5 | 23 | 37 | E | 0 | 21 | 34 | E | ||
Aracta | Asia | Turkey | 36 | 1 | 0 | N | 38 | 50 | 0 | E | 2 | 35 | 20 | E | ||
Arakootai Isle | Amer. | Pacific Ocean | 20 | 1 | 30 | S | 158 | 14 | 30 | W | 10 | 32 | 58 | W | ||
Archangel | Europe | Russia | 64 | 34 | 0 | N | 38 | 54 | 30 | E | 2 | 35 | 38 | E | 6 | 0 |
Arcot | Asia | Arcot | 12 | 51 | 24 | N | 79 | 28 | 4 | E | 5 | 17 | 52 | E | ||
Arensburg | Europe | Baltic | 58 | 15 | 9 | N | 22 | 13 | 15 | E | 1 | 28 | 53 | E | ||
Arrca | Amer. | Peru | 18 | 26 | 40 | S | 71 | 13 | 0 | W | 4 | 44 | 52 | W | ||
Arles | Europe | France | 43 | 40 | 28 | N | 4 | 37 | 24 | E | 0 | 18 | 30 | E | ||
Arras | Europe | France | 50 | 17 | 37 | N | 2 | 45 | 41 | E | 0 | 11 | 3 | E | ||
Aruba (W. End) | Amer. | Leeward Isles | 12 | 35 | 30 | N | 69 | 29 | 45 | W | 4 | 37 | 59 | W | ||
Ascension (Isle) | Africa | S. Atl. Ocean | 7 | 56 | 30 | S | 14 | 21 | 15 | W | 0 | 57 | 25 | W | ||
Affissi | Europe | Italy | 43 | 4 | 22 | N | 12 | 35 | 13 | E | 0 | 50 | 21 | E | ||
Astracan | Asia | Siberia | 46 | 21 | 12 | N | 48 | 2 | 45 | E | 3 | 12 | 11 | E | ||
Ath | Europe | Netherlands | 50 | 42 | 17 | N | 3 | 46 | 17 | E | 0 | 15 | 5 | E | ||
Athens | Europe | Turkey | 38 | 5 | 0 | N | 23 | 52 | 30 | E | 1 | 35 | 30 | E | ||
Atooi | Amer. | Sandwich Isles | 21 | 57 | 0 | N | 159 | 39 | 30 | W | 10 | 38 | 38 | W | ||
Auch | Europe | France | 43 | 38 | 39 | N | 0 | 34 | 36 | E | 0 | 2 | 18 | E | ||
St. Augustin (Bay) | Africa | Madagascar | 23 | 27 | 52 | S | 44 | 9 | 0 | E | 2 | 56 | 36 | E | ||
Aurillac | Europe | France | 44 | 55 | 10 | N | 2 | 27 | 0 | W | 0 | 9 | 48 | W | ||
Aurora (Isle) | Asia | Pacific Ocean | 15 | 8 | 0 | S | 168 | 17 | 0 | E | 11 | 13 | 8 | E | ||
Autun | Europe | France | 46 | 56 | 48 | N | 4 | 17 | 44 | E | 0 | 17 | 11 | E | ||
Auxerre | Europe | France | 47 | 47 | 57 | N | 3 | 34 | 06 | E | 0 | 14 | 16 | E | ||
Aveiro | Europe | Portugal | 40 | 38 | 17 | N | 8 | 29 | 15 | W | 0 | 33 | 57 | W | ||
Avignon | Europe | France | 43 | 56 | 58 | N | 4 | 48 | 10 | E | 0 | 19 | 13 | E | ||
Avranches | Europe | France | 48 | 41 | 21 | N | 1 | 21 | 51 | W | 0 | 5 | 27 | W | 6 | 00 |
Awatscha | Asia | Kamtchat | 53 | 0 | 37 | N | 158 | 44 | 30 | E | 10 | 34 | 58 | E | 4 | 36 |
B | ||||||||||||||||
Babee (Pulo) | Asia | Str.of Sunda | 5 | 45 | 0 | N | 106 | 20 | 30 | E | 7 | 5 | 22 | E | ||
Babylon (Ancient) | Asia | Mesopotamia | 33 | 0 | 0 | N | 42 | 46 | 30 | E | 2 | 51 | 6 | E | ||
Bagdad | Asia | Mesopotamia | 33 | 19 | 40 | N | 44 | 22 | 15 | E | 2 | 57 | 29 | E | ||
Ballasore | Asia | India | 21 | 20 | 0 | N | 87 | 1 | 26 | E | 5 | 48 | 6 | E | ||
Ballabea (Isle) | Asia | N. Caledonia | 20 | 7 | 0 | S | 164 | 22 | 0 | E | 10 | 57 | 28 | E | ||
Banana (Big) | Africa | Sierra Leone | 8 | 5 | 30 | N | 13 | 5 | 0 | W | 0 | 52 | 20 | W | ||
Bancoot | Asia | India | 17 | 56 | 40 | N | 73 | 7 | 54 | E | 4 | 52 | 32 | E | ||
Bangalore | Asia | Mysore | 13 | 0 | 0 | N | 77 | 37 | 10 | E | 5 | 10 | 29 | E | ||
Banguey (Peak) | Asia | Malacca | 7 | 18 | 0 | N | 117 | 17 | 30 | E | 7 | 49 | 10 | E | ||
Bank's Isle | Asia | New Zeeland | 43 | 43 | 0 | S | 173 | 3 | 55 | E | 11 | 32 | 16 | E | ||
Banstead | Europe | England | 51 | 19 | 25 | N | 0 | 11 | 20 | W | 0 | 0 | 45 | W | ||
Bantam Point | Asia | Java | 5 | 50 | 20 | S | 106 | 9 | 3 | E | 7 | 4 | 36 | E | ||
Barbas (Cape) | Africa | Sanhaga | 22 | 15 | 30 | N | 16 | 40 | 0 | W | 1 | 6 | 40 | W | ||
Barbuda (Isle) | Amer. | Atlantic Ocean | 17 | 49 | 45 | N | 61 | 50 | 0 | W | 4 | 7 | 20 | W | ||
Barcelona | Europe | Spain | 41 | 26 | 0 | N | 2 | 13 | 0 | E | 0 | 8 | 52 | E | ||
Barsleur (Cape) | Europe | France | 49 | 40 | 21 | N | 1 | 15 | 36 | W | 0 | 5 | 2 | W | 7 | 30 |
Barlingues | Europe | Portugal | 39 | 26 | 0 | N | 9 | 35 | 20 | W | 0 | 38 | 21 | W | ||
Barnevelt's (Isle) | Amer. | Terradel Fuego | 55 | 49 | 0 | S | 66 | 58 | 0 | W | 4 | 27 | 52 | W | ||
Barren Isle | Asia | Bay of Bengal | 12 | 14 | 0 | N | 93 | 42 | 0 | E | 6 | 14 | 48 | E | ||
St.Bartholomew (Isle) | Asia | N.Hebrides | 15 | 42 | 0 | S | 167 | 17 | 30 | E | 11 | 9 | 10 | E | ||
Basle | Europe | Switzerland | 47 | 33 | 34 | N | 7 | 35 | 12 | E | 0 | 30 | 21 | E | ||
Bassa Terre | Amer. | Guadaloupe | 15 | 59 | 45 | N | 62 | 0 | 45 | W | 4 | 8 | 3 | W | ||
Basseen (Fort) | Asia | India | 19 | 19 | 0 | N | 72 | 55 | 24 | E | 4 | 51 | 42 | E | ||
Basses (Great) | Asia | Ceylon | 6 | 7 | 30 | N | 81 | 42 | 50 | E | 5 | 26 | 51 | E | ||
Batavia | Asia | Java | 6 | 11 | 0 | S | 106 | 50 | 0 | E | 7 | 7 | 20 | E | ||
Bath | Europe | England | 51 | 22 | 30 | N | 2 | 21 | 30 | W | 0 | 9 | 26 | W | ||
Battersea | Europe | England | 51 | 28 | 36 | N | 0 | 10 | 24 | W | 0 | 0 | 42 | W | ||
Bauld (Cape) | Amer. | Newfoundland | 51 | 39 | 45 | N | 55 | 27 | 50 | W | 3 | 41 | 51 | W | ||
Bayeux | Europe | France | 49 | 16 | 34 | N | 0 | 42 | 11 | W | 0 | 2 | 49 | W | ||
Bayonne | Europe | France | 43 | 29 | 15 | N | 1 | 28 | 41 | W | 0 | 5. | 55 | W | 3 | 30 |
Y 2
[page] 172
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Bazas | Europe | France | 44 | 26 | 0 | N | 0 | 13 | 17 | W | 0 | 0 | 53 | W | ||
Beachy Head | Europe | England | 50 | 44 | 24 | N | 0 | 15 | 12 | E | 0 | 1 | 1 | E | 10 | 30 |
Bear (Isle) | Amer. | Hudson's Bay | 54 | 34 | 0 | N | 79 | 56 | 0 | W | 5 | 19 | 44 | W | 12 | 0 |
Beauvais | Europe | France | 49 | 26 | 0 | N | 2 | 4 | 41 | E | 0 | 8 | 19 | E | ||
Beering's Island | Asia | Beering's Str. | 55 | 36 | 0 | N | 167 | 46 | 0 | E | 11 | 11 | 4 | E | ||
Belle Isle | Europe | France | 47 | 17 | 17 | N | 3 | 5 | 0 | W | 0 | 12 | 20 | W | 1 | 30 |
Belley | Europe | France | 45 | 45 | 29 | N | 5 | 41 | 4 | E | 0 | 22 | 44 | E | ||
Bembridge Point | Europe | Isle of Wight | 50 | 40 | 59 | N | 1 | 3 | 26 | W | 0 | 4 | 14 | W | ||
Bencoolen | Asia | Sumatra | 3 | 49 | 9 | S | 102 | 2 | 25 | E | 6 | 48 | 10 | E | ||
Bender | Europe | Turkey | 46 | 50 | 29 | N | 29 | 36 | 0 | E | 1 | 58 | 24 | E | ||
Berg River | Africa | St.Helen's Bay | 32 | 50 | 47 | S | 18 | 12 | 0 | E | 1 | 12 | 48 | E | ||
Bergen | Europe | Norway | 60 | 23 | 40 | N | 5 | 11 | 30 | E | 0 | 20 | 46 | E | 1 | 30 |
Bergan-op-zoom | Europe | Holland | 51 | 29 | 46 | N | 4 | 16 | 57 | E | 0 | 17 | 8 | E | ||
Berlin | Europe | Germany | 52 | 31 | 30 | N | 13 | 23 | 0 | E | 0 | 53 | 32 | E | ||
Bermudas (Isle) | Amer. | Atlantic Ocean | 32 | 35 | 0 | N | 63 | 28 | 0 | W | 4 | 13 | 52 | W | 7 | 0 |
Bernaul | Asia | Siberia | 53 | 19 | 59 | N | 82 | 12 | 15 | E | 5 | 28 | 49 | E | ||
St.Bertrand | Europe | France | 43 | 1 | 27 | N | 0 | 34 | 4 | E | 0 | 2 | 16 | E | ||
Besanson | Europe | France | 47 | 14 | 12 | N | 6 | 2 | 46 | E | 0 | 24 | 11 | E | ||
Bessested | Europe | Iceland | 64 | 6 | 9 | N | 21 | 53 | 45 | W | 1 | 27 | 35 | W | ||
Bexhill | Europe | England | 50 | 50 | 47 | N | 0 | 28 | 43 | E | 0 | 1 | 55 | E | ||
Beziers | Europe | France | 43 | 20 | 23 | N | 3 | 12 | 24 | E | 0 | 12 | 50 | E | ||
Bird Island | Amer. | Pacific Ocean | 17 | 49 | 0 | S | 142 | 43 | 24 | W | 9 | 30 | 54 | W | ||
Bitche | Europe | Lorrain | 49 | 2 | 21 | N | 7 | 26 | 20 | E | 0 | 29 | 45 | E | ||
Blanco (Cape) | Africa | Negroland | 20 | 55 | 30 | N | 17 | 10 | 0 | W | 1 | 8 | 40 | W | 9 | 45 |
Blanco (Cape) | Amer. | Patagonia | 47 | 20 | 0 | S | 64 | 42 | 0 | W | 4 | 18 | 48 | W | ||
Blanco (Cape) | Amer. | Pacific Ocean | 43 | 12 | 0 | N | 124 | 7 | 30 | W | 8 | 16 | 30 | W | ||
Bligh's Cape | Asia | Kergulen's L. | 48 | 29 | 30 | S | 68 | 38 | 45 | E | 4 | 34 | 35 | E | ||
Blois | Europe | France | 47 | 35 | 20 | N | 1 | 20 | 1 | E | 0 | 5 | 20 | E | ||
Boddam's Isle | Asia | Indian Ocean | 5 | 22 | 0 | S | 72 | 15 | 0 | E | 4 | 49 | 0 | E | ||
Bojador (Cape) | Africa | Negroland | 26 | 12 | 30 | N | 14 | 27 | 0 | W | 0 | 57 | 48 | W | 0 | 0 |
Bolabola (Isle) | Amer. | Pacific Ocean | 16 | 32 | 30 | S | 151 | 52 | 0 | W | 10 | 7 | 28 | W | ||
Bologna | Europe | Italy | 44 | 29 | 36 | N | 11 | 20 | 25 | E | 0 | 45 | 22 | E | ||
Bolcheretsk | Asia | Kamtchatka | 52 | 54 | 30 | N | 156 | 56 | 40 | E | 10 | 27 | 47 | E | ||
Bolt Head | Europe | England | 50 | 17 | 0 | N | 3 | 53 | 30 | W | 0 | 15 | 34 | W | ||
Bombay | Asia | India | 18 | 55 | 42 | N | 72 | 54 | 24 | E | 4 | 51 | 38 | E | ||
Bombay (Light-ho.) | Asia | India | 18 | 53 | 0 | N | 72 | 52 | 54 | E | 4 | 51 | 32 | E | ||
Bonavista (Isle) | Africa | Cape Verd | 16 | 3 | 40 | N | 22 | 45 | 32 | W | 1 | 31 | 2 | W | ||
Borcheleon | Europe | Netherlands | 50 | 48 | 17 | N | 5 | 20 | 18 | E | 0 | 21 | 21 | E | ||
Boscawen's Isle | Asia | Pacific Ocean | 15 | 50 | 0 | S | 174 | 7 | 40 | W | 11 | 36 | 31 | W | ||
Boston | Amer. | New England | 42 | 25 | 0 | N | 70 | 37 | 15 | W | 4 | 42 | 29 | W | 11 | 25 |
Botany (Island) | Asia | N.Caledonia | 22 | 26 | 40 | S | 167 | 16 | 45 | E | 11 | 9 | 7 | E | ||
Botany Bay | Asia | N.Holland | 34 | 6 | 0 | S | 151 | 15 | 0 | E | 10 | 5 | 0 | E | 8 | 0 |
Boulogne | Europe | France | 50 | 43 | 33 | N | 1 | 36 | 33 | E | 0 | 6 | 26 | E | 11 | 0 |
Bourbon (Isle) | Africa | Indian Ocean | 20 | 50 | 54 | S | 55 | 30 | 0 | E | 3 | 42 | 0 | E | ||
Bourdeaux | Europe | France | 44 | 50 | 14 | N | 0 | 34 | 15 | W | 0 | 2 | 17 | W | 3 | 0 |
Bourgas | Asia | Turkey | 40 | 14 | 30 | N | 26 | 26 | 52 | E | 1 | 45 | 47 | E | ||
Bourges | Europe | France | 47 | 4 | 59 | N | 2 | 23 | 45 | E | 0 | 9 | 35 | E | ||
Bow Island | Amer. | Pacific Ocean | 18 | 17 | 0 | S | 140 | 43 | 0 | W | 9 | 22 | 52 | W | ||
Brandenburg | Europe | Germany | 52 | 27 | 0 | N | 12 | 53 | 0 | E | 0 | 51 | 32 | E | ||
Braffe (Pulo) | Asia | Str.of Malacca | 95 | 11 | 0 | E | 6 | 20 | 44 | E | ||||||
Brava (Isle) | Africa | Cape Verd | 14 | 50 | 58 | N | 24 | 43 | 4 | W | 1 | 38 | 52 | W | ||
Breaker's Point | Amer. | Pacific Ocean | 49 | 15 | 30 | N | 126 | 41 | 30 | W | 8 | 26 | 46 | W | ||
Breda | Europe | Holland | 51 | 35 | 29 | N | 4 | 46 | 9 | E | 0 | 19 | 5 | E | ||
Bremen | Europe | Germany | 53 | 5 | 11 | N | 8 | 49 | 34 | E | 0 | 35 | 18 | E | 6 | 00 |
Breslaw | Europe | Silesia | 51 | 6 | 30 | N | 17 | 35 | 30 | E | 1 | 10 | 22 | E | ||
Brest | Europe | France | 48 | 22 | 42 | N | 4 | 30 | 0 | W | 0 | 18 | 0 | W | 3 | 15 |
Bridge Town | Amer. | Barbadoes | 13 | 5 | 0 | N | 59 | 41 | 15 | W | 3 | 58 | 45 | W | ||
St. Brien | Europe | France | 48 | 31 | 2 | N | 2 | 44 | 10 | W | 0 | 10 | 57 | W | ||
Brighthelmstone | Europe | England | 50 | 49 | 32 | N | 0 | 11 | 55 | W | 0 | 0 | 48 | W | 10 | 00 |
Bristol | Europe | England | 51 | 28 | 0 | N | 2 | 34 | 45 | W | 0 | 10 | 19 | W | 7 | 00 |
Bristol (Cape) | Amer. | Sandwich Land | 59 | 2 | 30 | S | 26 | 51 | 0 | W | 1 | 47 | 24 | W |
[page] 173
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Bristol River | Amer. | Beering's Str. | 58 | 27 | 0 | N | 158 | 7 | 30 | W | 10 | 32 | 30 | W | ||
Broach Point | Asia | India | 21 | 38 | 30 | N | 72 | 43 | 24 | E | 4 | 50 | 54 | E | ||
Brothers (The) | Asia | Sea of Borneo | 5 | 10 | 20 | S | 106 | 14 | 4 | E | 7 | 4 | 56 | E | ||
Bruges | Europe | Netherlands | 51 | 12 | 20 | N | 3 | 13 | 13 | E | 0 | 12 | 53 | E | ||
Brunn | Europe | Moravia | 49 | 11 | 28 | N | 16 | 35 | 6 | E | 1 | 6 | 20 | E | ||
Brussels | Europe | Brabant | 50 | 51 | 0 | N | 4 | 21 | 15 | E | 0 | 17 | 25 | E | ||
Buda | Europe | Hungary | 47 | 29 | 44 | N | 19 | 0 | 0 | E | 1 | 16 | 0 | E | ||
Buenos Ayres | Amer. | Brasil | 34 | 35 | 26 | S | 58 | 23 | 38 | W | 3 | 53 | 35 | W | ||
Bukarost | Europe | Wallachia | 44 | 26 | 45 | N | 26 | 8 | 0 | E | 1 | 44 | 32 | E | ||
Buller (Cape) | Amer. | S.Georgia | 53 | 58 | 30 | S | 37 | 40 | 0 | W | 2 | 30 | 40 | W | ||
Burgeo (Isles) | Amer. | Newfoundland | 47 | 36 | 20 | N | 57 | 36 | 0 | W | 3 | 50 | 24 | W | ||
Burbanpour | Asia | India | 21 | 19 | 0 | N | 76 | 22 | 0 | E | 5 | 5 | 28 | E | ||
Byron's Isle | Asia | Pacific Ocean | 1 | 13 | 0 | S | 177 | 8 | 0 | E | 11 | 48 | 32 | E | ||
C | ||||||||||||||||
Cabello (Port) | Amer. | Terra Firma | 10 | 30 | 50 | N | 67 | 32 | 0 | W | 4 | 30 | 8 | W | ||
Cape Cabron | Amer. | Hispaniola | 19 | 21 | 52 | N | 69 | 18 | 40 | W | 4 | 37 | 15 | W | ||
Cadiz | Europe | Spain | 36 | 31 | 7 | N | 6 | 17 | 15 | W | 0 | 25 | 9 | W | 2 | 30 |
Caen | Europe | France | 49 | 11 | 12 | N | 0 | 21 | 53 | W | 0 | 1 | 28 | W | 9 | 0 |
Cahors | Europe | France | 44 | 26 | 49 | N | 1 | 26 | 22 | E | 0 | 5 | 45 | E | ||
Cairo | Africa | Egypt | 30 | 3 | 30 | N | 31 | 25 | 30 | E | 2 | 5 | 42 | E | ||
Cajaneburg | Europe | Finland | 64 | 13 | 30 | N | 27 | 45 | 0 | E | 1 | 51 | 0 | E | ||
Calais | Europe | France | 50 | 57 | 32 | N | 1 | 51 | 0 | E | 0 | 7 | 24 | E | 11 | 30 |
Calcutta (F. Will.) | Asia | Bengal | 22 | 34 | 45 | N | 88 | 27 | 56 | E | 5 | 53 | 52 | E | 3 | 5 |
Callao | Amer. | Peru | 12 | 1 | 53 | S | 76 | 58 | 0 | W | 5 | 7 | 52 | W | ||
Calmar | Europe | Sweden | 56 | 40 | 30 | N | 16 | 25 | 15 | E | 1 | 5 | 41 | E | ||
Calpy | Asia | India | 26 | 7 | 15 | N | 80 | 0 | 0 | E | 5 | 20 | 0 | E | ||
Calymere Point | Asia | India | 10 | 20 | 0 | N | 79 | 46 | 0 | E | 5 | 19 | 4 | E | ||
Cambray | Europe | France | 50 | 10 | 37 | N | 3 | 13 | 32 | E | 0 | 12 | 54 | E | ||
Cambridge | Europe | England | 52 | 12 | 36 | N | 0 | 4 | 15 | E | 0 | 0 | 17 | E | ||
Cambridge | Amer. | New England | 42 | 25 | 0 | N | 71 | 6 | 0 | W | 4 | 44 | 24 | W | ||
Camischin | Europe | Russia | 50 | 5 | 6 | N | 45 | 24 | 0 | E | 3 | 1 | 36 | E | ||
Campbell (Cape) | Asia | New Zealand | 41 | 40 | 48 | S | 174 | 33 | 0 | E | 11 | 38 | 12 | E | ||
Canary (Isle) N.E.Pt. | Africa | Atlantic Ocean | 28 | 13 | 0 | N | 15 | 38 | 45 | W | 1 | 2 | 35 | W | 3 | 0 |
Candia (Isle) | Europe | Medit. Sea | 35 | 18 | 35 | N | 25 | 18 | 0 | E | 1 | 41 | 12 | E | ||
Candlenias Isles | Amer. | Sandwich Land | 57 | 10 | 0 | S | 27 | 13 | 0 | W | 1 | 48 | 52 | W | ||
Cananore (Point) | Asia | India | 11 | 51 | 0 | N | 75 | 25 | 00 | E | 5 | 1 | 40 | E | ||
Canso (Port) | Amer. | Nova Scotia | 45 | 20 | 7 | N | 60 | 55 | 0 | W | 4 | 3 | 40 | W | ||
Canterbury | Europe | England | 51 | 18 | 26 | N | 1 | 4 | 53 | E | 0 | 4 | 20 | E | ||
Canton | Asia | China | 23 | 6 | 57 | N | 113 | 16 | 7 | E | 7 | 33 | 4 | E | ||
Capricorn (Cape) | Asia | New Holland | 23 | 26 | 40 | S | 151 | 5 | 40 | E | 10 | 4 | 23 | E | ||
Carcassone | Europe | France | 43 | 12 | 45 | N | 2 | 20 | 49 | E | 0 | 9 | 23 | E | ||
Carlescroon | Europe | Sweden | 56 | 20 | 0 | N | 15 | 30 | 0 | E | 1 | 2 | 0 | E | ||
Carisbrook Castle | Europe | Isle of Wight | 50 | 41 | 18 | N | 1 | 18 | 26 | W | 0 | 5 | 14 | W | ||
Carpentras | Europe | France | 44 | 3 | 8 | N | 5 | 2 | 35 | E | 0 | 20 | 10 | E | ||
Carrickfergus | Europe | Ireland | 54 | 43 | 0 | N | 5 | 45 | 30 | W | 0 | 23 | 2 | W | ||
Carthagena | Europe | Spain | 37 | 36 | 7 | N | 1 | 1 | 30 | W | 0 | 4 | 6 | W | ||
Carthagena | Amer. | Terra Firma | 10 | 26 | 19 | N | 75 | 20 | 35 | W | 5 | 1 | 22 | W | ||
Carwar Head | Asia | India | 14 | 47 | 0 | N | 74 | 12 | 30 | E | 4 | 56 | 50 | E | ||
Casan | Asia | Siberia | 55 | 43 | 58 | N | 49 | 29 | 30 | E | 3 | 17 | 58 | E | ||
Casbine | Asia | Persia | 36 | 11 | 0 | N | 49 | 33 | 0 | E | 3 | 18 | 12 | E | ||
Cassel (Hess) | Europe | Germany | 51 | 19 | 20 | N | 9 | 31 | 45 | E | 0 | 38 | 7 | E | ||
Castres | Europe | France | 43 | 36 | 11 | N | 2 | 14 | 16 | E | 0 | 8 | 57 | E | ||
St. Catherine's Isle | Amer. | Brasil | 27 | 32 | 30 | S | 49 | 15 | 37 | W | 3 | 17 | 2 | W | ||
St. Catherine's Li. | Europe | Isle of Wight | 50 | 35 | 33 | N | 1 | 17 | 51 | W | 0 | 5 | 11 | W | ||
Cavan | Europe | Ireland | 54 | 51 | 41 | N | 7 | 25 | 20 | W | 0 | 29 | 41 | W | ||
Cavaillon | Europe | France | 43 | 50 | 6 | N | 5 | 1 | 55 | E | 0 | 20 | 8 | E | ||
Cayenne | Amer. | Isle Cayenne | 4 | 56 | 15 | N | 52 | 15 | 0 | W | 3 | 29 | 0 | W | ||
Cervia | Europe | Italy | 44 | 15 | 31 | N | 12 | 19 | 28 | E | 0 | 49 | 18 | E | ||
Cette (Lights) | Europe | France | 43 | 23 | 42 | N | 3 | 41 | 46 | E | 0 | 14 | 47 | E |
[page] 174
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Chain Island | Amer. | Pacific Ocean | 17 | 25 | 30 | S | 145 | 30 | 0 | W | 9 | 42 | 0 | W | ||
Chalon sur Saone | Europe | France | 46 | 46 | 54 | N | 4 | 51 | 2 | E | 0 | 19 | 24 | E | ||
Challons sur Marne | Europe | France | 48 | 57 | 28 | N | 4 | 20 | 15 | E | 0 | 17 | 21 | E | ||
Chandernagor | Asia | Bengal | 22 | 51 | 26 | N | 88 | 29 | 15 | E | 5 | 53 | 57 | E | ||
Charkow | Europe | Russia | 49 | 59 | 20 | N | 36 | 15 | 0 | E | 2 | 25 | 0 | E | ||
Charles (Cape) | Amer. | Hudson's Str. | 62 | 46 | 30 | N | 74 | 15 | 0 | W | 4 | 57 | 0 | W | 10 | 0 |
Q. Charlotte's Cape | Amer. | South Georgia | 54 | 32 | 0 | S | 36 | 11 | 30 | W | 2 | 24 | 46 | W | ||
Q. Charl. Foreland | Asia | N. Caledonia | 22 | 15 | 0 | S | 167 | 12 | 45 | E | 11 | 8 | 51 | E | ||
Q. Charlotte's Isle | Amer. | Pacific Ocean | 19 | 18 | 0 | S | 138 | 20 | 0 | W | 9 | 13 | 20 | W | ||
Q. Charlotte Sound | Asia | New Zeeland | 41 | 5 | 57 | S | 174 | 20 | 50 | E | 11 | 37 | 23 | E | 9 | 0 |
Charlotte Town | Amer. | St.John's Island | 46 | 14 | 0 | N | 62 | 50 | 0 | W | 4 | 11 | 20 | W | ||
Charlton Island | Amer. | Hudson's Bay | 52 | 3 | 0 | N | 79 | 5 | 0 | W | 5 | 16 | 20 | W | ||
Chartres | Europe | France | 48 | 26 | 54 | N | 1 | 29 | 5 | E | 0 | 5 | 56 | E | ||
Cherbourg | Europe | France | 49 | 38 | 31 | N | 1 | 37 | 18 | W | 0 | 6 | 29 | W | 7 | 30 |
Cherson | Europe | Crimea | 46 | 38 | 29 | N | 32 | 56 | 15 | E | 2 | 11 | 45 | E | ||
Chichester | Europe | England | 50 | 50 | 11 | N | 0 | 46 | 36 | W | 0 | 3 | 6 | W | ||
Chilbambrum Pagod | Asia | India | 11 | 24 | 42 | N | 79 | 48 | 6 | E | 5 | 19 | 12 | E | ||
Chislehurst | Europe | England | 51 | 24 | 33 | N | 0 | 4 | 39 | E | 0 | 0 | 19 | E | ||
Choule (Fort) | Asia | India | 18 | 32 | 0 | N | 72 | 59 | 54 | E | 4 | 52 | 0 | E | ||
Christchurch | Europe | England | 50 | 43 | 47 | N | 1 | 46 | 3 | W | 0 | 7 | 4 | W | ||
Christiana | Europe | Norway | 59 | 55 | 20 | N | 10 | 48 | 45 | E | 0 | 43 | 15 | E | ||
Christiansfelt | Europe | Denmark | 55 | 21 | 27 | N | 9 | 29 | 46 | E | 0 | 37 | 59 | E | ||
Christmas Harbour | Africa | Kergulen's La | 48 | 41 | 15 | S | 69 | 2 | 0 | E | 4 | 36 | 8 | E | 10 | 0 |
Christmas Isle | Amer. | Pacific Ocean | 1 | 57 | 45 | N | 157 | 35 | 0 | W | 10 | 30 | 20 | W | ||
Christmas Sound | Amer. | Terradel Fuego | 55 | 21 | 57 | S | 70 | 2 | 50 | W | 4 | 40 | 11 | W | 2 | 30 |
St. Christopher's Isl | Amer. | Carib. Sea | 17 | 15 | 0 | N | 62 | 42 | 20 | W | 4 | 10 | 49 | W | ||
Churchill River | Amer. | Hudson's Bay | 58 | 47 | 32 | N | 94 | 13 | 48 | W | 6 | 16 | 55 | W | 7 | 20 |
Civita Vecchia | Europe | Italy | 42 | 5 | 24 | N | 11 | 46 | 15 | E | 0 | 47 | 5 | E | ||
Clapham (Obser.) | Europe | England | 51 | 27 | 13 | N | 0 | 8 | 39 | W | 0 | 0 | 35 | W | ||
St. Claude | Europe | France | 46 | 23 | 18 | N | 5 | 51 | 50 | E | 0 | 23 | 27 | E | ||
Clear (Cape) | Europe | Ireland | 51 | 19 | 0 | N | 9 | 23 | 15 | W | 0 | 37 | 33 | W | 4 | 30 |
Clerke's Isle | Asia | Beering's Str | 63 | 15 | 0 | N | 169 | 40 | 0 | W | 11 | 18 | 40 | W | ||
Clerke's Rocks | Amer. | Atl. Ocean | 55 | 5 | 30 | S | 34 | 42 | 0 | W | 2 | 18 | 48 | W | ||
Clermont | Europe | France | 45 | 46 | 44 | N | 3 | 5 | 2 | E | 0 | 12 | 20 | E | ||
Cochin | Asia | Malabar | 9 | 58 | 0 | N | 76 | 15 | 34 | E | 5 | 5 | 2 | E | ||
Cocos Isles Great Little | Asia | Bay of Bengal | 14 | 5 | 0 | N | 93 | 14 | 0 | E | 6 | 12 | 56 | E | ||
Asia | Bay of Bengal | 13 | 58 | 0 | N | 93 | 7 | 0 | E | 6 | 12 | 28 | E | |||
Coimbra | Europe | Portugal | 40 | 14 | 0 | N | 8 | 24 | 0 | W | 0 | 33 | 36 | W | ||
Colenet (Cape) | Asia | N. Caledonia | 20 | 30 | 0 | S | 164 | 56 | 0 | E | 10 | 59 | 44 | E | ||
Collioure | Europe | France | 42 | 31 | 31 | N | 3 | 5 | 2 | E | 0 | 12 | 20 | E | ||
Colmar | Europe | France | 48 | 4 | 44 | N | 7 | 22 | 11 | E | 0 | 29 | 29 | E | ||
Cologne | Europe | Germany | 50 | 55 | 21 | N | 6 | 55 | 0 | E | 0 | 27 | 40 | E | ||
Colville (Cape) | Asia | New Zeeland | 36 | 24 | 45 | S | 175 | 48 | 50 | E | 11 | 43 | 15 | E | ||
Comerin (Cape) | Asia | India | 8 | 4 | 0 | N | 77 | 33 | 50 | E | 5 | 10 | 15 | E | ||
Commachio | Europe | Italy | 44 | 40 | 27 | N | 12 | 9 | 47 | E | 0 | 48 | 39 | E | ||
Compiegne | Europe | France | 49 | 24 | 59 | N | 2 | 49 | 41 | E | 0 | 11 | 19 | E | ||
Conception | Amer. | Chili | 36 | 42 | 54 | S | 73 | 6 | 18 | W | 4 | 52 | 25 | W | ||
Condom | Europe | France | 43 | 57 | 49 | N | 0 | 22 | 7 | E | 0 | 1 | 28 | E | ||
Condore (Pulo) | Asia | Chinese Sea | 8 | 40 | 48 | N | 106 | 42 | 54 | E | 7 | 6 | 52 | E | 4 | 16 |
Constantinople | Europe | Turkey | 41 | 1 | 10 | N | 28 | 55 | 5 | E | 1 | 55 | 40 | E | ||
Cookstown | Europe | Ireland | 54 | 38 | 20 | N | 6 | 40 | 0 | W | 0 | 26 | 40 | W | ||
Cooper's Isle | Amer. | Atl. Ocean | 54 | 57 | 0 | S | 36 | 4 | 20 | W | 2 | 24 | 17 | W | ||
Copenhagen | Europe | Denmark | 55 | 41 | 4 | N | 12 | 35 | 10 | E | 0 | 50 | 21 | E | ||
Coquimbo | Amer. | Chili | 29 | 54 | 33 | S | 71 | 15 | 45 | W | 4 | 45 | 3 | W | ||
Cordouan (Lights) | Europe | France | 45 | 35 | 14 | N | 1 | 10 | 10 | W | 0 | 4 | 41 | W | ||
Cork | Europe | Ireland | 51 | 53 | 54 | N | 8 | 28 | 15 | W | 0 | 33 | 53 | W | 6 | 30 |
Corneto | Europe | Italy | 42 | 15 | 23 | N | 11 | 43 | 0 | E | 0 | 46 | 52 | E | ||
Cornwallis (Port) | Asia | Andaman | 13 | 20 | 30 | N | 92 | 51 | 0 | E | 6 | 11 | 24 | E | 10 | 0 |
Cornwallis (Fort) | Asia | Po Pinnang | 5 | 27 | 0 | N | 100 | 26 | 30 | E | 6 | 41 | 46 | E | ||
Coronation (Cape) | Asia | N. Caledonia | 22 | 5 | 0 | S | 167 | 8 | 0 | E | 11 | 8 | 32 | E | ||
Corvo | Europe | Azores | 39 | 43 | 38 | N | 31 | 4 | 56 | W | 2 | 4 | 20 | W |
[page] 175
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Coudre Isle (N.W.si | Amer. | Canada | 47 | 15 | 33 | N | 70 | 18 | 57 | W | 4 | 41 | 16 | W | ||
Conllaba Island | Asia | Indian Ocean | 18 | 37 | 20 | N | 72 | 56 | 30 | E | 4 | 51 | 46 | E | ||
Coutances | Europe | France | 49 | 2 | 54 | N | 1 | 26 | 35 | W | 0 | 5 | 46 | W | ||
Courtray | Europe | Netherlands | 50 | 49 | 43 | N | 3 | 15 | 51 | E | 0 | 13 | 3 | E | ||
Cowes (West) | Europe | Isle of Wight | 50 | 46 | 18 | N | 1 | 17 | 17 | W | 0 | 5 | 9 | W | 10 | 30 |
Cracatoa (Isle) | Asia | Str.of Sunda | 6 | 6 | 0 | S | 105 | 31 | 40 | E | 7 | 2 | 7 | E | ||
Cracow | Europe | Poland | 50 | 10 | 0 | N | 19 | 50 | 0 | E | 1 | 19 | 20 | E | ||
Cremonz | Europe | Italy | 45 | 7 | 49 | N | 10 | 6 | 22 | E | 0 | 40 | 25 | E | ||
Cresmunster | Europe | Germany | 48 | 3 | 36 | N | 14 | 7 | 21 | E | 0 | 56 | 29 | E | ||
Croisic | Europe | France | 47 | 17 | 40 | N | 2 | 31 | 42 | W | 0 | 10 | 7 | W | ||
Crooked Isle | Amer. | Lucayes | 22 | 48 | 50 | N | 74 | 26 | 5 | W | 4 | 57 | 44 | W | ||
Croque Harbour | Amer. | Newfoundland | 51 | 3 | 17 | N | 55 | 50 | 0 | W | 3 | 43 | 20 | W | ||
Cross Cape | Amer. | Pacific Ocean | 57 | 58 | 30 | N | 136 | 44 | 30 | W | 9 | 6 | 58 | W | ||
Cuddalore | Asia | India | 11 | 41 | 0 | N | 79 | 37 | 45 | E | 5 | 18 | 31 | E | ||
Cumberland (Cape) | Asia | New Hebrides | 14 | 39 | 30 | S | 166 | 47 | 0 | E | 11 | 7 | 8 | E | ||
Cumberland Ho | Amer. | New Wales | 53 | 56 | 40 | N | 102 | 9 | 0 | W | 6 | 48 | 36 | W | ||
Cumberland Isle | Amer. | Pacific Ocean | 19 | 18 | 0 | S | 140 | 52 | 0 | W | 9 | 23 | 28 | W | ||
Cummin (Isle) | Asia | Chinese Sea | 31 | 40 | 0 | N | 121 | 4 | 0 | E | 8 | 4 | 16 | E | ||
Curreuse Isle | Asia | Almirantes | 4 | 19 | 0 | S | 55 | 47 | 0 | E | 3 | 43 | 8 | E | 5 | 10 |
D | ||||||||||||||||
Dagger-Ort | Europe | Baltic | 58 | 56 | 1 | N | 22 | 9 | 0 | E | 1 | 28 | 36 | E | ||
Damoan Fort | Asia | India | 20 | 22 | 0 | N | 73 | 2 | 45 | E | 4 | 52 | 11 | E | ||
Danger (Point) | Asia | New Holland | 28 | 8 | 22 | S | 153 | 33 | 10 | E | 10 | 14 | 13 | E | ||
Danger (Isles of) | Asia | Pacific Ocean | 10 | 56 | 0 | S | 165 | 59 | 0 | W | 11 | 3 | 56 | W | ||
Dantzig | Europe | Poland | 54 | 22 | 0 | N | 18 | 40 | 0 | E | 1 | 14 | 40 | E | ||
Darby (Cape) | Amer. | Beering's Str | 64 | 21 | 0 | N | 163 | 0 | 0 | W | 10 | 52 | 0 | W | ||
Dassen Island | Africa | Caffers | 33 | 25 | 0 | S | 18 | 1 | 52 | E | 1 | 12 | 7 | E | ||
Dax | Europe | France | 43 | 42 | 19 | N | 1 | 3 | 16 | W | 0 | 4 | 13 | W | ||
Deal Castle | Europe | England | 51 | 13 | 5 | N | 1 | 23 | 59 | E | 0 | 5 | 36 | E | 11 | 15 |
Delhi | Asia | India | 28 | 37 | 0 | N | 77 | 40 | 0 | E | 5 | 10 | 40 | E | ||
Dengeness | Europe | England | 50 | 54 | 52 | N | 0 | 57 | 40 | E | 0 | 3 | 51 | E | 11 | 15 |
Dennis (St.) | Africa | I. Bourbon | 20 | 51 | 43 | S | 55 | 30 | 0 | E | 3 | 42 | 0 | E | ||
Dereham (East) | Europe | England | 52 | 40 | 20 | N | 0 | 54 | 30 | E | 0 | 3 | 38 | E | ||
Devi-cotta | Asia | India | 11 | 21 | 0 | N | 79 | 47 | 0 | E | 5 | 19 | 8 | E | ||
Diamond Island | Asia | Bay of Bengal | 15 | 50 | 0 | N | 94 | 17 | 54 | E | 6 | 17 | 12 | E | ||
Diarbekir | Asia | Diarbek | 37 | 54 | 0 | N | 39 | 20 | 0 | E | 2 | 37 | 20 | E | ||
Die | Europe | France | 44 | 45 | 31 | N | 5 | 22 | 18 | E | 0 | 21 | 29 | E | ||
Diego (Cape) | Amer. | Terradel Fuego | 54 | 33 | 0 | S | 65 | 14 | 0 | W | 4 | 20 | 56 | W | ||
Diego Garcia | Asia | India Ocean | 7 | 20 | 0 | S | 72 | 24 | 52 | E | 4 | 49 | 39 | E | ||
Diego Ramirez | Amer. | South. Ocean | 56 | 32 | 30 | S | 67 | 55 | 0 | W | 4 | 31 | 40 | W | ||
Dieppe | Europe | France | 49 | 55 | 34 | N | 1 | 4 | 29 | E | 0 | 4 | 18 | E | 11 | 15 |
Digby (Cape) | Asia | Kergulen's La | 49 | 23 | 30 | S | 70 | 32 | 0 | E | 4 | 42 | 8 | E | ||
Digges (Isle) | Amer. | Hudson's Bay | 62 | 41 | 0 | N | 78 | 50 | 0 | W | 5 | 15 | 20 | W | ||
Digne | Europe | France | 44 | 5 | 18 | N | 6 | 14 | 4 | E | 0 | 24 | 56 | E | ||
Dijon | Europe | France | 47 | 19 | 25 | N | 5 | 1 | 48 | E | 0 | 20 | 7 | E | ||
Dilla (Mount) | Asia | Malabar Coast | 11 | 59 | 40 | N | 75 | 14 | 30 | E | 5 | 0 | 58 | E | ||
Dillingen | Europe | Germany | 48 | 34 | 10 | N | 10 | 29 | 12 | E | 0 | 41 | 57 | E | ||
Disappointment (C. | Amer. | South Georgia | 54 | 58 | 0 | S | 36 | 15 | 0 | W | 2 | 25 | 0 | W | ||
Disappointment (Isl. | Amer. | Pacific Ocean | 14 | 7 | 0 | S | 141 | 22 | 0 | W | 9 | 25 | 28 | W | ||
Diseada (Cape) | Amer. | Terradel Fuego | 53 | 4 | 15 | S | 74 | 18 | 0 | W | 4 | 57 | 12 | W | ||
Diserada | Amer. | Carib. Isles | 16 | 35 | 0 | N | 61 | 11 | 15 | W | 4 | 4 | 45 | W | ||
Diu Head | Asia | Guzarat | 20 | 42 | 0 | N | 71 | 3 | 30 | E | 4 | 44 | 14 | E | ||
Dix Cove Fort | Africa | Gold Coast | 4 | 44 | 0 | N | 2 | 37 | 44 | W | 0 | 10 | 31 | W | ||
Dixmude | Europe | Netherlands | 51 | 2 | 5 | N | 2 | 51 | 39 | E | 0 | 11 | 27 | E | ||
Dol | Europe | France | 48 | 33 | 8 | N | 1 | 45 | 28 | W | 0 | 7 | 2 | W | ||
Domar (Pulo) | Asia | Chinese Sea | 2 | 47 | 0 | N | 105 | 21 | 0 | E | 7 | 1 | 24 | E | ||
Dominique (Isle) | Amer. | Windward Isles | 15 | 18 | 23 | N | 61 | 35 | 30 | W | 4 | 6 | 22 | W | ||
Donna Maria (Cape | Amer. | Hispaniola | 18 | 37 | 20 | N | 74 | 35 | 52 | W | 4 | 58 | 23 | W | ||
Dorchester | Europe | England | 50 | 42 | 58 | N | 2 | 25 | 40 | W | 0 | 9 | 43 | W |
[page] 176
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Douay | Europe | Flanders | 50 | 22 | 12 | N | 3 | 4 | 47 | E | 0 | 12 | 19 | E | ||
Douglas (Cape) | Amer. | Cook's River | 58 | 56 | 0 | N | 153 | 50 | 0 | W | 10 | 15 | 20 | W | ||
Dover | Europe | England | 51 | 7 | 48 | N | 1 | 19 | 2 | E | 0 | 5 | 16 | E | 11 | 15 |
Drake's Island | Europe | Playmouth Sou | 50 | 21 | 30 | N | 4 | 13 | 30 | W | 0 | 16 | 54 | W | 5 | 45 |
Dresden | Europe | Saxony | 51 | 2 | 54 | N | 13 | 41 | 15 | E | 0 | 54 | 45 | E | ||
Dreux | Europe | France | 48 | 44 | 17 | N | 1 | 21 | 24 | E | 0 | 5 | 26 | E | ||
Dronthiem | Europe | Norway | 63 | 26 | 6 | N | 10 | 22 | 0 | E | 0 | 41 | 28 | E | 2 | 15 |
Druja | Europe | Russia | 55 | 47 | 29 | N | 27 | 13 | 30 | E | 1 | 48 | 54 | E | ||
Dublin | Europe | Ireland | 53 | 22 | 0 | N | 6 | 17 | 0 | W | 0 | 25 | 8 | W | 9 | 45 |
Dublin Observatory | Europe | Ireland | 53 | 23 | 7 | N | 6 | 20 | 30 | W | 0 | 25 | 22 | W | ||
Dundee | Europe | Scotland | 56 | 25 | 0 | N | 3 | 2 | 30 | W | 0 | 12 | 10 | W | ||
Dundra-Head | Asia | Ceylon | 5 | 51 | 0 | N | 80 | 41 | 20 | E | 5 | 22 | 45 | E | ||
Dunkirk | Europe | France | 51 | 2 | 9 | N | 2 | 22 | 4 | E | 0 | 9 | 28 | E | 11 | 45 |
Dusky Bay | Asia | New Zeeland | 45 | 47 | 27 | S | 166 | 18 | 9 | E | 11 | 5 | 13 | E | 10 | 57 |
Dun-Nose | Europe | England | 50 | 37 | 7 | N | 1 | 11 | 36 | W | 0 | 4 | 46 | W | 9 | 45 |
E | ||||||||||||||||
Eagle Island | Asia | Almirantes | 5 | 10 | 0 | S | 55 | 37 | 0 | E | 3 | 42 | 28 | E | 3 | 30 |
Eaoowe (Isle) | Asia | Pacific Ocean | 21 | 24 | 0 | S | 174 | 30 | 0 | W | 11 | 38 | 0 | W | 7 | 0 |
East Cape | Asia | Beering's Str | 66 | 5 | 30 | N | 169 | 44 | 0 | W | 11 | 18 | 56 | W | ||
East Cape | Asia | New Zeeland | 37 | 44 | 25 | S | 178 | 58 | 0 | E | 11 | 55 | 52 | E | ||
East-Main (Fort) | Amer. | Labrador | 52 | 15 | 0 | N | 78 | 57 | 49 | W | 5 | 15 | 51 | W | ||
Easter Island | Amer. | Pacific Ocean | 27 | 6 | 30 | S | 109 | 46 | 45 | W | 7 | 19 | 7 | W | 2 | 0 |
Ecaterinburg | Asia | Siberia | 56 | 50 | 15 | N | 60 | 50 | 0 | E | 4 | 3 | 20 | E | ||
Edam (Isle) | Asia | Batavia Bay | 5 | 57 | 30 | S | 106 | 51 | 0 | E | 7 | 7 | 24 | E | ||
Edgecumbe (Cape) | Amer. | Pacific Ocean | 57 | 4 | 30 | N | 135 | 55 | 30 | W | 9 | 3 | 42 | W | ||
Edinburg | Europe | Scotland | 55 | 56 | 42 | N | 3 | 12 | 15 | W | 0 | 12 | 49 | W | 4 | 30 |
Edward's (Pr.) Isles | Africa | Ind.Ocean N. | 46 | 39 | 30 | S | 38 | 2 | 30 | E | 2 | 32 | 10 | E | ||
Edward's (Pr.) Isles | Africa | Ind.Ocean S. | 46 | 52 | 30 | S | 37 | 47 | 0 | E | 2 | 31 | 8 | E | ||
Edystone | Europe | English Chanel | 50 | 8 | 0 | N | 4 | 24 | 0 | W | 0 | 17 | 36 | W | 5 | 30 |
Egmont (Cape) | Asia | New Zeeland | 39 | 23 | 20 | S | 174 | 12 | 30 | E | 11 | 36 | 50 | E | ||
Egmont (Isle) | Amer. | Pacific Ocean | 19 | 20 | 0 | S | 138 | 46 | 0 | W | 9 | 15 | 4 | W | ||
Elmeo (Isle) | Amer. | Pacific Ocean | 17 | 30 | 0 | S | 149 | 54 | 0 | W | 9 | 59 | 36 | W | ||
Elias's (St.) Mount | Amer. | Pacific Ocean | 60 | 24 | 30 | N | 141 | 0 | 0 | W | 9 | 24 | 0 | W | ||
Elephant Point | Asia | Ceylon | 6 | 20 | 0 | N | 81 | 39 | 15 | E | 5 | 26 | 37 | E | ||
Elizabeth (Cape) | Amer. | Pacific Ocean | 59 | 11 | 0 | N | 152 | 12 | 0 | W | 10 | 8 | 48 | W | ||
Elmina Castle | Africa | Gold Coast | 5 | 1 | 38 | N | 2 | 0 | 12 | W | 0 | 8 | 1 | W | ||
Eltham | Europe | England | 51 | 27 | 4 | N | 0 | 3 | 10 | E | 0 | 0 | 13 | E | ||
Embrum | Europe | France | 44 | 34 | 7 | N | 6 | 25 | 54 | E | 0 | 25 | 44 | E | ||
Enatum (Isle) | Asia | Pacific Ocean | 20 | 10 | 0 | S | 170 | 4 | 0 | E | 11 | 20 | 16 | E | ||
Enckhuysen | Europe | Holland | 52 | 42 | 22 | N | 5 | 10 | 0 | E | 0 | 20 | 40 | E | ||
English Road | Asia | Eaoowe | 21 | 20 | 30 | S | 174 | 49 | 0 | W | 11 | 39 | 16 | W | ||
Endeavour River | Asia | New Holland | 15 | 27 | 11 | S | 145 | 10 | 0 | E | 9 | 40 | 40 | E | ||
Enos | Europe | Turkey | 40 | 41 | 58 | N | 25 | 58 | 30 | E | 1 | 43 | 54 | E | ||
Erramanga (Isle) | Asia | Pacific Ocean | 18 | 46 | 30 | S | 169 | 18 | 30 | E | 11 | 17 | 14 | E | ||
Erzerum | Asia | Turkey | 39 | 56 | 35 | N | 48 | 35 | 45 | E | 3 | 14 | 23 | E | ||
Espiritu Santo | Amer. | Cuba | 21 | 57 | 41 | N | 79 | 49 | 30 | W | 5 | 19 | 18 | W | ||
Eustachia (Town) | Amer. | Carib. Sea | 17 | 29 | 0 | N | 63 | 2 | 0 | W | 4 | 12 | 8 | W | ||
Evout's Isles | Amer. | Terradel Fuego | 55 | 34 | 30 | S | 66 | 59 | 0 | W | 4 | 27 | 56 | W | ||
Evreux | Europe | France | 49 | 1 | 30 | N | 1 | 8 | 54 | E | 0 | 4 | 36 | E | ||
Exeter | Europe | England | 50 | 44 | 0 | N | 3 | 34 | 30 | W | 0 | 14 | 18 | W | ||
F | ||||||||||||||||
Fairlight | Europe | England | 50 | 52 | 39 | N | 0 | 38 | 35 | E | 0 | 2 | 34 | E | ||
Falmouth | Europe | England | 50 | 8 | 0 | N | 5 | 3 | 0 | W | 0 | 20 | 12 | W | 5 | 30 |
False (Cape) | Africa | Caffres | 34 | 16 | 0 | S | 18 | 44 | 0 | E | 1 | 14 | 56 | E | ||
False Bay | Africa | Caffres | 34 | 10 | 0 | S | 18 | 33 | 0 | E | 1 | 14 | 12 | E | ||
Fano | Europe | Italy | 43 | 51 | 0 | N | 12 | 59 | 38 | E | 0 | 51 | 59 | E | ||
Fareham | Europe | England | 50 | 51 | 20 | N | 1 | 10 | 11 | W | 0 | 4 | 41 | W | ||
Farewell (Cape) | Amer. | Greenland | 59 | 38 | 0 | N | 42 | 42 | 0 | W | 2 | 50 | 48 | W |
[page] 177
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Farewell (Cape) | Asia | New Zeeland | 40 | 37 | 0 | S | 172 | 49 | 38 | E | 11 | 31 | 19 | E | ||
Farnham | Europe | England | 51 | 13 | 7 | N | 0 | 47 | 52 | W | 0 | 3 | 11 | W | ||
Fayal (Town) | Europe | Azores | 38 | 32 | 20 | N | 28 | 41 | 5 | W | 1 | 54 | 44 | W | 2 | 20 |
Fecamp | Europe | France | 49 | 45 | 24 | N | 0 | 22 | 48 | E | 0 | 1 | 31 | E | ||
Felix and Amb. Isles | Amer. | Pacific Ocean | 26 | 16 | 0 | S | 79 | 16 | 0 | W | 5 | 17 | 4 | W | ||
Ferdinand Noronha | Amer. | Brazil | 3 | 56 | 20 | S | 32 | 38 | 0 | W | 2 | 10 | 32 | W | ||
Fermo | Europe | Italy | 43 | 10 | 18 | N | 13 | 41 | 26 | E | 0 | 54 | 46 | E | ||
Fernando Po | Africa | Atlantic Ocean | 3 | 28 | 0 | N | 8 | 40 | 0 | E | 0 | 34 | 40 | E | ||
Ferrara | Europe | Italy | 44 | 49 | 46 | N | 11 | 36 | 15 | E | 0 | 46 | 25 | E | ||
Ferraria (Point) | Europe | St.Michael(Az.) | 37 | 49 | 41 | N | 25 | 59 | 49 | W | 1 | 43 | 59 | W | ||
Ferro (Town) | Africa | Canaries | 27 | 47 | 35 | N | 17 | 45 | 8 | W | 1 | 11 | 1 | W | ||
Finisterre (Cape) | Europe | Spain | 42 | 53 | 30 | N | 9 | 18 | 24 | W | 0 | 37 | 14 | W | ||
Fizeron (Cape) | Europe | Portugal | 39 | 19 | 0 | N | 11 | 43 | 53 | W | 0 | 46 | 56 | W | ||
Fladstrand | Europe | Denmark | 57 | 27 | 3 | N | 10 | 33 | 15 | E | 0 | 42 | 13 | E | ||
Flattery (Cape) | Amer. | New Albion | 48 | 15 | 30 | N | 124 | 58 | 30 | W | 8 | 19 | 54 | W | ||
Flensburg | Europe | Denmark | 54 | 47 | 8 | N | 9 | 27 | 6 | E | 0 | 37 | 48 | E | ||
Florence | Europe | Italy | 43 | 46 | 30 | N | 11 | 3 | 30 | E | 0 | 44 | 14 | E | ||
Flores | Europe | Azores | 39 | 26 | 20 | N | 31 | 11 | 22 | W | 2 | 4 | 45 | W | ||
Flour (Saint) | Europe | France | 45 | 1 | 53 | N | 3 | 5 | 24 | E | 0 | 12 | 22 | E | ||
Flushing | Europe | Holland | 51 | 26 | 37 | N | 3 | 34 | 9 | E | 0 | 14 | 17 | E | ||
Foggy Island | Amer. | Pacific Ocean | 56 | 12 | 0 | N | 157 | 19 | 30 | W | 10 | 29 | 18 | W | ||
Foktzani | Europe | Turkey | 45 | 38 | 51 | N | 27 | 2 | 30 | E | 1 | 48 | 10 | E | ||
Folkstone | Europe | England | 51 | 5 | 45 | N | 1 | 11 | 29 | W | 0 | 4 | 46 | W | ||
Fontarabia | Europe | Spain | 43 | 21 | 36 | N | 1 | 47 | 29 | W | 0 | 7 | 10 | W | ||
S. Foreland (Light) | Europe | England | 51 | 8 | 21 | N | 1 | 22 | 6 | E | 0 | 5 | 28 | E | ||
No. Foreland | Europe | England | 51 | 22 | 40 | N | 1 | 26 | 22 | E | 0 | 5 | 45 | E | ||
Fortaventure (W. P. | Africa | Canaries | 28 | 4 | 0 | N | 14 | 31 | 30 | W | 0 | 58 | 6 | W | ||
Foul Point | Africa | Madagascar | 17 | 40 | 14 | S | 49 | 52 | 30 | E | 3 | 19 | 30 | E | ||
Foulweather (Cape) | Amer. | Pacific Ocean | 44 | 53 | 0 | N | 124 | 10 | 0 | W | 8 | 16 | 40 | W | ||
Frampton House | Europe | Wales | 51 | 25 | 1 | N | 3 | 29 | 30 | W | 0 | 13 | 58 | W | ||
France (Isle of) | Africa | Indian Ocean | 20 | 9 | 43 | S | 57 | 31 | 30 | E | 3 | 50 | 6 | E | ||
Francfort(on the M | Europe | Germany | 50 | 7 | 40 | N | 8 | 35 | 45 | E | 0 | 34 | 23 | E | ||
Francfort(on the Od | Europe | Germany | 52 | 22 | 8 | N | 14 | 45 | 0 | E | 0 | 59 | 3 | E | ||
Francisco (St.) | Amer. | New Albion | 37 | 48 | 30 | N | 122 | 7 | 20 | W | 8 | 8 | 30 | W | 11 | 25 |
Francois (Cape) | Amer. | Hispaniola | 19 | 46 | 40 | N | 72 | 17 | 45 | W | 4 | 49 | 11 | W | ||
Francois (Old Cape) | Amer. | Hispaniola | 19 | 40 | 30 | N | 70 | 2 | 0 | W | 4 | 40 | 8 | W | ||
Frant | Europe | England | 51 | 5 | 54 | N | 0 | 16 | 13 | E | 0 | 1 | 5 | E | ||
Frawenburg | Europe | Prussia | 54 | 22 | 15 | N | 20 | 7 | 30 | E | 1 | 20 | 30 | E | ||
Free Town | Africa | Sierra Leone | 8 | 29 | 40 | N | 13 | 5 | 17 | W | 0 | 52 | 21 | W | ||
Frehel (Light) | Europe | France | 48 | 41 | 10 | N | 2 | 18 | 57 | W | 0 | 9 | 15 | W | ||
Frejus | Europe | France | 43 | 25 | 52 | N | 6 | 43 | 54 | E | 0 | 26 | 56 | E | ||
Friesland's Peak | Amer. | Sandwich Land | 59 | 2 | 0 | S | 26 | 55 | 30 | W | 1 | 47 | 42 | W | ||
Frio (Cape) | Amer. | Brasil | 22 | 54 | 0 | S | 42 | 8 | 15 | W | 2 | 48 | 33 | W | ||
Frio (Cape) | Africa | Caffraria | 18 | 40 | 0 | S | 12 | 26 | 0 | E | 0 | 49 | 44 | E | ||
Fronsac (Strait) | Amer. | Nova Scotia | 45 | 36 | 57 | N | 61 | 19 | 30 | W | 4 | 5 | 18 | W | ||
Fuego (Isle) | Africa | Cape Verd | 14 | 57 | 2 | N | 24 | 22 | 2 | W | 1 | 37 | 32 | W | ||
Fulham | Europe | England | 51 | 28 | 7 | N | 0 | 12 | 35 | W | 0 | 0 | 50 | W | ||
Funchal | Africa | Maderia | 32 | 37 | 20 | N | 16 | 55 | 36 | W | 1 | 7 | 42 | W | 12 | 4 |
Furneaux (Island) | Amer. | Pacific Ocean | 17 | 11 | 0 | S | 143 | 6 | 40 | W | 9 | 32 | 27 | W | ||
Furness | Europe | Netherlands | 51 | 4 | 23 | N | 2 | 39 | 36 | E | 0 | 10 | 38 | E | ||
G | ||||||||||||||||
Gabey | Asia | New Guinea | 0 | 6 | 0 | S | 126 | 23 | 45 | E | 8 | 25 | 35 | E | ||
Galle (Cape de) | Asia | Ceylon | 6 | 1 | 0 | N | 80 | 19 | 20 | E | 5 | 21 | 17 | E | ||
Gallepoli | Europe | Turkey | 40 | 25 | 33 | N | 26 | 37 | 15 | E | 1 | 46 | 29 | E | ||
Gand | Europe | Netherlands | 51 | 3 | 15 | N | 3 | 43 | 20 | E | 0 | 14 | 53 | E | ||
Ganjam | Asia | India | 19 | 22 | 30 | N | 85 | 18 | 30 | E | 5 | 41 | 14 | E | ||
Gap | Europe | France | 44 | 33 | 37 | N | 6 | 4 | 47 | E | 0 | 24 | 19 | E | ||
Gaspar (Island) | Asia | Str.of Gasper | 2 | 25 | 0 | S | 107 | 7 | 45 | E | 7 | 8 | 31 | E | ||
Gaspea | Amer. | G.St.Lawrence | 48 | 47 | 30 | N | 64 | 27 | 30 | W | 4 | 17 | 50 | W |
Z
[page] 178
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitude. | Longitude | H. W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Gavareea (Cape) | Asia | Kamtschatska | 51 | 20 | 30 | N | 158 | 36 | 0 | E | 10 | 34 | 24 | E | ||
Geinhausen | Europe | Germany | 50 | 13 | 25 | N | 9 | 13 | 38 | E | 0 | 36 | 55 | E | ||
Geneva | Europe | Savoy | 46 | 12 | 17 | N | 6 | 8 | 24 | E | 0 | 24 | 34 | E | ||
Genoa | Europe | Italy | 44 | 25 | 0 | N | 8 | 51 | 15 | E | 0 | 35 | 25 | E | ||
St. George (Isle) | Europe | Azores | 38 | 53 | 30 | N | 28 | 10 | 0 | W | 1 | 52 | 40 | W | ||
St. George (Town) | Amer. | Bermudas | 32 | 22 | 20 | N | 64 | 14 | 15 | W | 4 | 16 | 57 | W | ||
St. George (Fort) | Amer. | Hispaniola | 18 | 18 | 40 | N | 73 | 11 | 49 | W | 4 | 52 | 47 | W | ||
St. George (Fort) | Asia | India | 13 | 4 | 54 | N | 80 | 24 | 49 | E | 5 | 21 | 39 | E | ||
St. George (Cape) | Amer. | Newfoundland | 48 | 30 | 5 | N | 59 | 20 | 33 | W | 3 | 57 | 22 | W | ||
St. George (Cape) | Asia | N. Holland | 35 | 10 | 30 | S | 150 | 29 | 0 | E | 10 | 1 | 56 | E | ||
St. George (Cape) | Asia | New Britain | 4 | 53 | 30 | S | 153 | 8 | 45 | E | 10 | 12 | 35 | E | ||
George (Cape) | Amer. | South Georgia | 54 | 17 | 0 | S | 36 | 32 | 30 | W | 2 | 26 | 10 | W | ||
George (Cape) | Asia | Kergulen's L. | 49 | 54 | 30 | S | 70 | 12 | 0 | E | 4 | 40 | 48 | E | ||
Geriah | Asia | Malabar | 16 | 37 | 0 | N | 73 | 22 | 24 | E | 4 | 53 | 30 | E | ||
Ghent | Europe | Flanders | 51 | 3 | 15 | N | 3 | 43 | 20 | E | 0 | 14 | 53 | E | ||
Gibraltar | Europe | Spain | 36 | 4 | 44 | N | 5 | 4 | 0 | W | 0 | 20 | 16 | W | 0 | 0 |
Gilbert's Isle | Amer. | TerradelFuego | 55 | 13 | 0 | S | 71 | 6 | 45 | W | 4 | 44 | 27 | W | ||
Glandeve | Europe | France | 43 | 56 | 43 | N | 6 | 48 | 10 | E | 0 | 27 | 13 | E | ||
Glasgow | Europe | Scotland | 55 | 51 | 32 | N | 4 | 16 | 0 | W | 0 | 17 | 4 | W | ||
Glocester House | Amer. | New Wales | 51 | 24 | 26 | N | 87 | 26 | 2 | W | 5 | 49 | 44 | W | ||
Glocester Isle | Amer. | Pacific Ocean | 19 | 11 | 0 | S | 140 | 20 | 0 | W | 9 | 21 | 20 | W | ||
Gluchow | Europe | Russia | 51 | 40 | 30 | N | 34 | 20 | 0 | E | 2 | 17 | 20 | E | ||
Gluckstad | Europe | Holstein | 53 | 47 | 44 | N | 9 | 27 | 0 | E | 0 | 37 | 48 | E | ||
Goa | Asia | India | 15 | 28 | 20 | N | 73 | 58 | 39 | E | 4 | 55 | 55 | E | ||
Goat Isle | Asia | Chinese Sea | 13 | 55 | 0 | N | 120 | 2 | 0 | E | 8 | 0 | 8 | E | ||
Goave (La Petit) | Amer. | Hispaniola | 18 | 27 | 0 | N | 72 | 45 | 34 | W | 4 | 51 | 2 | W | ||
Goes | Europe | Zeeland | 51 | 30 | 18 | N | 3 | 53 | 5 | E | 0 | 15 | 32 | E | ||
Gogo | Asia | India | 21 | 40 | 30 | N | 72 | 21 | 15 | E | 4 | 49 | 25 | E | ||
Gomera (Isle) | Africa | Canaries | 28 | 5 | 40 | N | 17 | 8 | 0 | W | 1 | 8 | 32 | W | ||
Gonave (Isle N.E.Pt.) | Amer. | Hispaniola | 18 | 48 | 35 | N | 72 | 56 | 27 | W | 4 | 51 | 46 | W | ||
Goodwood | Europe | England | 50 | 52 | 21 | N | 0 | 44 | 9 | W | 0 | 2 | 57 | W | ||
Good Hope (Cape) | Africa | Caffraria | 34 | 29 | 0 | S | 18 | 23 | 15 | E | 1 | 13 | 33 | E | 3 | 0 |
Good Hope (Town) | Africa | Caffraria | 33 | 55 | 42 | S | 18 | 23 | 7 | E | 1 | 13 | 32 | E | 2 | 30 |
Goree (Isle) | Africa | Atlantic Ocean | 14 | 40 | 5 | N | 17 | 24 | 30 | W | 1 | 9 | 38 | W | 1 | 30 |
Gotha | Europe | Germany | 50 | 56 | 17 | N | 10 | 41 | 46 | E | 0 | 42 | 46 | E | ||
Gothaah | Amer. | Greonland | 64 | 9 | 55 | N | 51 | 46 | 45 | W | 3 | 27 | 7 | W | ||
Gottenburg | Europe | Sweden | 57 | 42 | 0 | N | 11 | 57 | 30 | E | 0 | 47 | 50 | E | ||
Gottingen (Obser.) | Europe | Germany | 51 | 31 | 54 | N | 9 | 54 | 15 | E | 0 | 39 | 37 | E | ||
Goudhurst | Europe | England | 51 | 6 | 50 | N | 0 | 27 | 39 | E | 0 | 1 | 51 | E | ||
Grafton (Isle) | Asia | Bathees | 21 | 4 | 0 | N | 120 | 55 | 11 | E | 8 | 3 | 41 | E | ||
Grafton (Cape) | Asia | New Holland | 16 | 53 | 30 | S | 145 | 42 | 45 | E | 9 | 42 | 51 | E | ||
Grenada (Fort Roy.) | Amer. | Carib. Sea | 12 | 2 | 54 | N | 61 | 51 | 15 | W | 4 | 7 | 25 | W | ||
Granville | Europe | France | 48 | 50 | 16 | N | 1 | 36 | 15 | W | 0 | 6 | 25 | W | ||
Grasse | Europe | France | 43 | 39 | 19 | N | 6 | 55 | 9 | E | 0 | 27 | 41 | E | ||
Gratiosa | Europe | Azores | 39 | 11 | 0 | N | 27 | 54 | 30 | W | 1 | 51 | 38 | W | ||
Gratz | Europe | Germany | 47 | 4 | 9 | N | 15 | 25 | 45 | E | 1 | 1 | 43 | E | ||
Gravelines | Europe | Flanders | 50 | 59 | 10 | N | 2 | 7 | 35 | E | 0 | 8 | 30 | E | 0 | 0 |
Gravois (Point) | Amer. | Hispaniola | 18 | 0 | 55 | N | 74 | 2 | 15 | W | 4 | 56 | 9 | W | ||
Greenwich (Obs.) | Europe | England | 51 | 28 | 40 | N | 0 | 0 | 0 | 0 | 0 | 0 | ||||
Grenate | Europe | Denmark | 56 | 24 | 57 | N | 10 | 53 | 21 | E | 0 | 43 | 33 | E | ||
Gregory (Cape) | Amer. | Pacific Ocean | 43 | 29 | 0 | N | 124 | 9 | 0 | W | 8 | 16 | 36 | W | ||
Grenoble | Europe | France | 45 | 11 | 42 | N | 5 | 43 | 34 | E | 0 | 22 | 54 | E | ||
Grenville (Cape) | Amer. | Pacific Ocean | 57 | 31 | 0 | N | 152 | 37 | 30 | W | 10 | 10 | 30 | W | ||
Grouais (Isle) | Europe | France | 47 | 38 | 4 | N | 3 | 26 | 23 | W | 0 | 13 | 46 | W | ||
Grinsted (East) | Europe | England | 51 | 7 | 28 | N | 0 | 0 | 16 | E | 0 | 0 | 1 | E | ||
Grinsted (West) | Europe | England | 50 | 58 | 24 | N | 0 | 19 | 53 | W | 0 | 1 | 20 | W | ||
Gryphiswald | Europe | Germany | 54 | 5 | 15 | N | 13 | 35 | 15 | E | 0 | 54 | 5 | E | ||
Guadaloupe | Amer. | Carib. Sea | 15 | 59 | 30 | N | 61 | 48 | 15 | W | 4 | 7 | 15 | W | ||
Guiaquil | Amer. | Peru | 2 | 11 | 18 | S | 79 | 20 | 52 | W | 5 | 17 | 23 | W | ||
Gurief | Asia | Siberia | 47 | 7 | 7 | N | 51 | 59 | 15 | E | 3 | 27 | 57 | E |
[page] 179
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
H | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Hadersleben | Europe | Denmark | 55 | 15 | 6 | N | 9 | 30 | 15 | E | 0 | 38 | 1 | E | ||
Hague | Europe | Holland | 52 | 4 | 12 | N | 4 | 16 | 12 | E | 0 | 17 | 4 | E | 8 | 15 |
Halisax | Amer. | Nova Scotia | 44 | 44 | 0 | N | 63 | 36 | 0 | W | 4 | 14 | 24 | W | 7 | 30 |
Hamburg | Europe | Germany | 53 | 33 | 3 | N | 9 | 55 | 15 | E | 0 | 39 | 41 | E | 6 | 0 |
Hammersoft (Isle) | Europe | North Sea | 70 | 38 | 43 | N | 23 | 43 | 35 | E | 1 | 34 | 54 | E | ||
Hampstead | Europe | England | 51 | 33 | 19 | N | 0 | 10 | 42 | W | 0 | 0 | 43 | W | ||
Hang-lip (Cape) | Africa | Caffraria | 34 | 16 | 0 | S | 18 | 44 | 0 | E | 1 | 14 | 56 | E | ||
Hanover | Europe | Germany | 52 | 22 | 18 | N | 9 | 44 | 15 | E | 0 | 38 | 57 | E | ||
Harbro' (Market) | Europe | England | 52 | 28 | 30 | N | 0 | 57 | 25 | W | 0 | 3 | 50 | W | ||
Harefield | Europe | England | 51 | 36 | 10 | N | 0 | 29 | 15 | W | 0 | 1 | 57 | W | ||
Haerlem | Europe | Holland | 52 | 22 | 14 | N | 4 | 37 | 0 | E | 0 | 18 | 28 | E | ||
Harrow on the Hill | Europe | England | 51 | 34 | 27 | N | 0 | 20 | 3 | W | 0 | 1 | 20 | W | ||
Hastings | Europe | England | 50 | 52 | 10 | N | 0 | 41 | 10 | E | 0 | 2 | 45 | E | 11 | 0 |
Havannah | Amer. | Cuba | 23 | 11 | 52 | N | 82 | 8 | 36 | W | 5 | 28 | 34 | W | ||
Havant | Europe | England | 50 | 51 | 5 | N | 0 | 58 | 38 | W | 0 | 3 | 55 | W | ||
Haver-de-Grace | Europe | France | 49 | 29 | 14 | N | 0 | 6 | 23 | E | 0 | 0 | 26 | E | 9 | 0 |
Hawkhill | Europe | Scotland | 55 | 57 | 37 | N | 3 | 10 | 15 | W | 0 | 12 | 41 | W | ||
Heese (La) | Europe | Netherlands | 51 | 23 | 2 | N | 4 | 44 | 45 | E | 0 | 18 | 59 | E | ||
St. Helena (Ja-To.) | Africa | S.Atlan. Ocean | 15 | 55 | 0 | S | 5 | 43 | 30 | W | 0 | 22 | 54 | W | 2 | 15 |
Hengistbury Head | Europe | England | 50 | 42 | 57 | N | 1 | 45 | 11 | W | 0 | 7 | 1 | W | ||
Henley House | Amer. | New Wales | 51 | 14 | 28 | N | 84 | 46 | 15 | W | 5 | 39 | 5 | W | ||
Henlopen (Cape) | Amer. | Virginia | 38 | 47 | 8 | N | 75 | 12 | 31 | W | 5 | 0 | 50 | W | 9 | 0 |
Henry (Cape) | Amer. | Virginia | 36 | 57 | 0 | N | 76 | 31 | 30 | W | 5 | 6 | 6 | W | ||
Heraclia | Europe | Turkey | 41 | 1 | 3 | N | 27 | 54 | 19 | E | 1 | 51 | 37 | E | ||
St. Hermogenes (Isle) | Amer. | Cook's River | 58 | 15 | 0 | N | 152 | 13 | 0 | W | 10 | 8 | 52 | W | ||
Hernosand | Europe | Sweden | 62 | 38 | 0 | N | 17 | 50 | 15 | E | 1 | 11 | 21 | E | ||
Hervey's (Isle) | Amer. | Pacific Ocean | 19 | 17 | 0 | S | 158 | 56 | 20 | W | 10 | 35 | 45 | W | ||
Hesseloe (Isle) | Europe | Categat | 56 | 11 | 46 | N | 11 | 43 | 45 | E | 0 | 46 | 55 | E | ||
Heve (Cape la) | Europe | France | 49 | 30 | 42 | N | 0 | 4 | 0 | E | 0 | 0 | 16 | E | ||
Highbury House | Europe | England | 51 | 33 | 13 | N | 0 | 5 | 51 | W | 0 | 0 | 23 | W | ||
Highclere | Europe | England | 51 | 18 | 46 | N | 1 | 20 | 16 | W | 0 | 5 | 21 | W | ||
Highgate | Europe | England | 51 | 34 | 16 | N | 0 | 8 | 50 | W | 0 | 0 | 35 | W | ||
Hinchinbroke (Isle) | Asia | Pacific Ocean | 17 | 25 | 0 | S | 168 | 38 | 0 | E | 11 | 14 | 32 | E | ||
Hinchinbroke (Cap | Amer. | PrWm's Sound | 60 | 16 | 0 | N | 146 | 55 | 0 | W | 9 | 47 | 40 | W | ||
Hioring | Europe | Denmark | 57 | 27 | 44 | N | 9 | 59 | 58 | E | 0 | 40 | 0 | E | ||
Hoai-Nghan | Asia | China | 33 | 34 | 40 | N | 118 | 49 | 30 | E | 7 | 55 | 18 | E | ||
Hogue (Cape la) | Europe | France | 49 | 44 | 40 | N | 1 | 56 | 50 | W | 0 | 7 | 47 | W | 0 | 0 |
Hola | Europe | Iceland | 65 | 44 | 0 | N | 19 | 44 | 0 | W | 1 | 18 | 56 | W | ||
Holme Point | Europe | England | 52 | 59 | 40 | N | 0 | 30 | 45 | E | 0 | 2 | 3 | E | ||
Honsleur | Europe | France | 49 | 25 | 13 | N | 0 | 13 | 59 | E | 0 | 0 | 56 | E | 9 | 0 |
Hood's Isle | Amer. | Pacific Ocean | 9 | 26 | 0 | S | 138 | 52 | 0 | W | 9 | 15 | 28 | W | ||
Hoogstraeten | Europe | Netherlands | 51 | 24 | 44 | N | 4 | 46 | 15 | E | 0 | 19 | 5 | E | ||
Horn (Cape) | Amer. | TerradelFuego | 55 | 58 | 30 | S | 67 | 26 | 0 | W | 4 | 29 | 44 | W | ||
Horndean | Europe | England | 50 | 55 | 33 | N | 1 | 0 | 21 | W | 0 | 4 | 1 | W | ||
Horsham | Europe | England | 51 | 3 | 36 | N | 0 | 19 | 43 | W | 0 | 1 | 19 | W | ||
Hout Bay | Africa | Caffraria | 34 | 3 | 0 | S | 18 | 19 | 0 | E | 1 | 13 | 16 | E | ||
Howe's Isle | Amer. | Pacific Ocean | 16 | 46 | 30 | S | 154 | 6 | 40 | W | 10 | 16 | 27 | W | ||
Howe (Cape) | Asia | New Holland | 37 | 31 | 15 | S | 145 | 31 | 0 | E | 9 | 58 | 4 | E | ||
Huahine (Isle) | Amer. | Pacific Ocean | 16 | 44 | 0 | S | 151 | 6 | 0 | W | 10 | 4 | 24 | W | ||
Hueen (Isle) | Europe | Sound | 55 | 54 | 38 | N | 12 | 41 | 30 | E | 0 | 50 | 46 | E | ||
Hudson's House | Amer. | New Wales | 53 | 0 | 32 | N | 106 | 27 | 48 | W | 7 | 5 | 51 | W | ||
Hunaston Lights | Europe | England | 52 | 58 | 40 | N | 0 | 28 | 0 | E | 0 | 1 | 52 | E | ||
Hurst Light-House | Europe | England | 50 | 42 | 23 | N | 1 | 32 | 50 | W | 0 | 6 | 11 | W | ||
Hurstmonceux | Europe | England | 50 | 51 | 35 | N | 0 | 19 | 42 | E | 0 | 1 | 19 | E | ||
Husum | Europe | Denmark | 54 | 28 | 48 | N | 9 | 4 | 7 | E | 0 | 36 | 16 | E | ||
Hydrabad | Asia | Golconda | 17 | 12 | 0 | N | 78 | 51 | 0 | E | 5 | 15 | 24 | E |
Z 2
[page] 180
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
I J | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Jackson (Port) | Asia | New Holland | 33 | 51 | 7 | S | 151 | 13 | 30 | E | 10 | 4 | 54 | E | ||
Jaffrabad (Fort) | Asia | India | 20 | 52 | 50 | N | 71 | 36 | 30 | E | 4 | 46 | 26 | E | ||
Jakutsk | Asia | Siberia | 62 | 1 | 52 | N | 129 | 43 | 30 | E | 8 | 38 | 55 | E | ||
Jakutskoi-Noss | Asia | Kamtschatka | 66 | 5 | 30 | N | 169 | 44 | 0 | W | 11 | 18 | 56 | W | ||
Janeiro (Rio) | Amer. | Brasil | 22 | 54 | 10 | S | 43 | 10 | 45 | W | 2 | 52 | 43 | W | 2 | 5 |
Jaroslawl | Europe | Russia | 57 | 37 | 30 | N | 40 | 10 | 0 | E | 2 | 40 | 40 | E | ||
Jarra (Pulo) | Asia | Str.of Malacca | 3 | 57 | 0 | N | 100 | 17 | 0 | E | 6 | 41 | 8 | E | ||
Jassey | Europe | Moldavia | 47 | 8 | 32 | N | 27 | 29 | 45 | E | 1 | 49 | 59 | E | ||
Java Head | Asia | Java | 6 | 48 | 30 | S | 105 | 7 | 25 | E | 7 | 0 | 30 | E | ||
Icy Cape | Amer. | Beering's Str. | 70 | 29 | 0 | N | 161 | 42 | 30 | W | 10 | 46 | 50 | W | ||
Idolhos (Isles) | Africa | Atl. Ocean | 9 | 27 | 0 | N | 13 | 32 | 30 | W | 0 | 54 | 10 | W | ||
Jenikolz | Europe | Crimea | 45 | 21 | 0 | N | 36 | 26 | 30 | E | 2 | 25 | 46 | E | ||
Jeniseik | Asia | Siberia | 58 | 27 | 17 | N | 91 | 58 | 30 | E | 6 | 7 | 54 | E | ||
Jeremie (Point) | Amer. | Hispaniola | 18 | 40 | 20 | N | 74 | 13 | 28 | W | 4 | 56 | 55 | W | ||
Jerusalem | Asia | Palestine | 31 | 55 | 0 | N | 35 | 20 | 0 | E | 2 | 21 | 20 | E | ||
St. Ildefonso's Isles | Amer. | TerradelFuego | 55 | 51 | 0 | S | 69 | 28 | 0 | W | 4 | 37 | 52 | W | ||
Ilginskoi | Asia | Siberia | 104 | 59 | 0 | E | 6 | 59 | 56 | E | ||||||
Immer (Isle) | Asia | Pacific Ocean | 19 | 16 | 0 | S | 169 | 46 | 0 | E | 11 | 19 | 4 | E | ||
Ingolstadt | Europe | Germany | 48 | 45 | 50 | N | 11 | 25 | 30 | E | 0 | 45 | 42 | E | ||
Ingornahoix | Amer. | Newfoundland | 50 | 37 | 17 | N | 57 | 15 | 30 | W | 3 | 49 | 2 | W | ||
Johanna (Peak) | Africa | Comora Isles | 12 | 16 | 0 | S | 44 | 46 | 18 | E | 2 | 59 | 5 | E | ||
St. John's | Amer. | Antigua | 17 | 4 | 30 | N | 62 | 9 | 0 | W | 4 | 8 | 30 | W | ||
St. John's | Amer. | Newfoundland | 47 | 32 | 44 | N | 52 | 25 | 30 | W | 3 | 29 | 42 | W | 6 | |
St. Joseph | Amer. | California | 23 | 3 | 37 | N | 109 | 40 | 45 | W | 7 | 18 | 43 | W | ||
Joy (Port) | Amer. | Isle of St.John's | 46 | 11 | 0 | N | 62 | 57 | 15 | W | 4 | 11 | 49 | W | ||
Irkutsk | Asia | Siberia | 52 | 18 | 8 | N | 104 | 33 | 30 | E | 6 | 58 | 14 | E | ||
Irraname (Isle) | Asia | Pacific Ocean | 19 | 31 | 0 | S | 170 | 21 | 0 | E | 11 | 21 | 24 | E | ||
Islamabad | Asia | India | 22 | 20 | 0 | N | 91 | 49 | 43 | E | 6 | 7 | 19 | E | ||
Isle of Pines | Asia | Pacific Ocean | 22 | 38 | 0 | S | 167 | 38 | 0 | E | 11 | 10 | 32 | E | ||
Islington | Europe | England | 51 | 32 | 18 | N | 0 | 6 | 0 | W | 0 | 0 | 24 | W | ||
Ismael | Europe | Turkey | 45 | 20 | 58 | N | 28 | 50 | 0 | E | 1 | 55 | 20 | E | ||
Ispahan | Asia | Persia | 32 | 24 | 34 | N | 51 | 50 | 0 | E | 3 | 27 | 20 | E | ||
St. Juan (Cape) | Amer. | Staten Land | 54 | 47 | 10 | S | 63 | 47 | 0 | W | 4 | 15 | 8 | W | ||
Juan Fernandes (Isle | Amer. | Pacific Ocean | 33 | 40 | 0 | S | 78 | 33 | 0 | W | 5 | 14 | 12 | W | ||
Judda | Asia | Arabia | 21 | 29 | 0 | N | 39 | 22 | 0 | E | 2 | 37 | 28 | E | ||
Judomskoi | Asia | Siberia | 139 | 52 | 30 | E | 9 | 19 | 30 | E | ||||||
St. Julian (Port) | Amer. | Patagonia | 49 | 10 | 0 | S | 68 | 44 | 0 | W | 4 | 34 | 56 | W | 4 | 45 |
Jupiter's Inlet | Amer. | Anticosta (Isle) | 49 | 26 | 0 | N | 63 | 38 | 15 | W | 4 | 14 | 33 | W | ||
Juthia | Asia | India | 14 | 18 | 0 | N | 100 | 50 | 0 | E | 6 | 43 | 20 | E | ||
K | ||||||||||||||||
Kalouga | Europe | Russia | 54 | 30 | 0 | N | 36 | 5 | 0 | E | 2 | 24 | 20 | E | ||
Kamenec | Europe | Poland | 48 | 40 | 53 | N | 27 | 1 | 15 | E | 1 | 48 | 5 | E | ||
Keeling's Islands | Asia | India Ocean | 12 | 3 | 15 | S | 97 | 38 | 30 | E | 6 | 30 | 34 | E | ||
Kamtschatskoi-Noss | Asia | Kamtschatska | 56 | 1 | 0 | N | 163 | 22 | 30 | E | 10 | 53 | 30 | E | ||
Karakakoo (Bay) | Amer. | Sandwich Isles | 19 | 28 | 10 | N | 155 | 56 | 23 | W | 10 | 23 | 46 | W | 3 | |
Kateringburg | Asia | Siberia | 56 | 50 | 15 | N | 60 | 50 | 0 | E | 4 | 3 | 20 | E | ||
Kayes Island | Amer. | Pacific Ocean | 59 | 52 | 0 | N | 145 | 0 | 0 | W | 9 | 40 | 0 | W | ||
Kedgeree | Asia | India | 21 | 48 | 0 | N | 88 | 50 | 15 | E | 5 | 55 | 21 | E | ||
Keppel's Island | Asia | Pacific Ocean | 15 | 56 | 30 | S | 174 | 10 | 24 | W | 9 | 36 | 42 | W | ||
Kiam-Cheu | Asia | China | 35 | 37 | 0 | N | 111 | 29 | 15 | E | 7 | 25 | 57 | E | ||
Kidnapper's Cape | Asia | New Zeeland | 39 | 42 | 45 | S | 177 | 16 | 0 | E | 11 | 49 | 4 | E | ||
Kiel | Europe | Holstein | 54 | 22 | 25 | N | 9 | 24 | 45 | E | 0 | 37 | 39 | E | ||
Kinsale | Europe | Ireland | 51 | 41 | 30 | N | 8 | 28 | 15 | W | 0 | 33 | 53 | W | 5 | 0 |
Kiow | Europe | Ukraine | 50 | 27 | 0 | N | 30 | 27 | 30 | E | 2 | 1 | 50 | E | ||
Kiringinskoi | Asia | Siberia | 57 | 47 | 0 | N | 108 | 2 | 0 | E | 7 | 12 | 8 | E |
[page] 181
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Kirk-Newton | Europe | Scotland | 55 | 54 | 30 | N | 3 | 30 | 33 | W | 0 | 14 | 2 | W | ||
Kittery Point | Amer. | New England | 43 | 4 | 27 | N | 70 | 44 | 30 | W | 4 | 42 | 58 | W | ||
Koamaroo (Cape) | Asia | New Zeeland | 41 | 4 | 48 | S | 174 | 34 | 30 | E | 11 | 38 | 18 | E | ||
Kola | Europe | Lapland | 68 | 52 | 26 | N | 33 | 1 | 30 | E | 2 | 12 | 6 | E | ||
Kongswinger | Europe | Norway | 60 | 12 | 11 | N | 11 | 57 | 45 | E | 0 | 47 | 51 | E | ||
Kormantini Fort | Africa | Gold Coast | 5 | 10 | 58 | N | 1 | 34 | 24 | W | 0 | 6 | 18 | W | ||
Korsar (Lights) | Europe | Denmark | 55 | 20 | 22 | N | 11 | 8 | 30 | E | 0 | 44 | 34 | E | ||
Kosloff | Europe | Crimea | 45 | 14 | 0 | N | 33 | 25 | 0 | E | 2 | 13 | 40 | E | ||
Kowima (Upper) | Asia | Kamtschatka | 65 | 28 | 0 | N | 153 | 35 | 0 | E | 10 | 14 | 20 | E | ||
Kowima (Lower) | Asia | Kamtschatka | 68 | 18 | 0 | N | 163 | 18 | 0 | E | 10 | 53 | 12 | E | ||
Krementzoug | Europe | Russia | 49 | 3 | 28 | N | 33 | 28 | 45 | E | 2 | 13 | 55 | E | ||
Kronotskoi-Noss | Asia | Kamtschatka | 54 | 43 | 0 | N | 162 | 13 | 30 | E | 10 | 48 | 54 | E | ||
Kullen (Lights) | Europe | Sweden | 56 | 18 | 3 | N | 12 | 26 | 14 | E | 0 | 49 | 45 | E | ||
Kursk | Europe | Russia | 51 | 43 | 30 | N | 36 | 27 | 30 | E | 2 | 25 | 50 | E | ||
L | ||||||||||||||||
La Ciotat | Europe | France | 43 | 10 | 29 | N | 5 | 36 | 48 | E | 0 | 22 | 27 | E | ||
Ladrone (Grand) | Asia | Chinese Sea | 22 | 2 | 0 | N | 113 | 56 | 0 | E | 7 | 35 | 44 | E | ||
Lagoon Isle (Cook's) | Amer. | Pacific Ocean | 18 | 46 | 33 | S | 138 | 54 | 15 | W | 9 | 15 | 37 | W | ||
Lagoon Isle (Bligh's) | Amer. | Pacific Ocean | 21 | 38 | 0 | S | 140 | 37 | 0 | W | 9 | 22 | 28 | W | ||
Lagos | Europe | Turkey | 40 | 58 | 42 | N | 25 | 3 | 21 | E | 1 | 40 | 13 | E | ||
Laguna | Africa | Teneriffe | 28 | 28 | 31 | N | 16 | 27 | 13 | W | 1 | 5 | 49 | W | ||
Lambhuus | Europe | Iceland | 64 | 6 | 17 | N | 21 | 54 | 30 | W | 1 | 27 | 38 | W | ||
Lampsaco | Asia | Turkey | 40 | 20 | 52 | N | 26 | 36 | 20 | E | 1 | 46 | 25 | E | ||
Lancarota (E.Pt.) | Africa | Canaries | 29 | 14 | 0 | N | 13 | 26 | 0 | W | 0 | 53 | 44 | W | ||
Landau | Europe | France | 49 | 11 | 38 | N | 8 | 7 | 30 | E | 0 | 32 | 30 | E | ||
Landscroon | Europe | Sweden | 55 | 52 | 23 | N | 12 | 48 | 0 | E | 0 | 51 | 12 | E | ||
Langres | Europe | France | 47 | 52 | 0 | N | 5 | 19 | 50 | E | 0 | 21 | 19 | E | ||
Laon | Europe | France | 49 | 33 | 54 | N | 3 | 37 | 12 | E | 0 | 14 | 29 | E | ||
St. Lawrence's (Isle) | Asia | Beering's Str | 63 | 47 | 0 | N | 171 | 45 | 0 | E | 11 | 27 | 0 | E | ||
Lausanne | Europe | Switzerland | 46 | 31 | 5 | N | 6 | 45 | 15 | E | 0 | 27 | 1 | E | ||
Lavaur | Europe | France | 43 | 40 | 52 | N | 1 | 49 | 3 | E | 0 | 7 | 16 | E | ||
Le Croisic | Europe | France | 47 | 17 | 43 | N | 2 | 30 | 30 | W | 0 | 10 | 2 | W | ||
Lectoure | Europe | France | 43 | 55 | 54 | N | 0 | 37 | 11 | E | 0 | 2 | 29 | E | ||
Leeds | Europe | England | 53 | 47 | 33 | N | 1 | 38 | 30 | W | 0 | 6 | 34 | W | ||
Leicester | Europe | England | 52 | 38 | 0 | N | 1 | 8 | 30 | W | 0 | 4 | 34 | W | ||
Leipsic | Europe | Saxony | 51 | 22 | 22 | N | 12 | 20 | 30 | E | 0 | 49 | 22 | E | ||
Le Mans | Europe | France | 48 | 0 | 35 | N | 0 | 11 | 49 | E | 0 | 0 | 47 | E | ||
Leopards Isle | Africa | Sierra Leone | 8 | 40 | 10 | N | 13 | 8 | 0 | W | 0 | 52 | 32 | W | ||
Leostoffe | Europe | England | 52 | 29 | 0 | N | 1 | 44 | 9 | E | 0 | 6 | 57 | E | 10 | 30 |
Leper's Island | Asia | Pacific Ocean | 15 | 23 | 30 | S | 167 | 58 | 15 | E | 11 | 11 | 53 | E | ||
Le Puy | Europe | France | 45 | 2 | 41 | N | 3 | 52 | 46 | E | 0 | 15 | 31 | E | ||
Lescar | Europe | France | 43 | 19 | 52 | N | 0 | 26 | 7 | W | 0 | 1 | 44 | W | ||
Leskeard | Europe | England | 50 | 26 | 50 | N | 4 | 41 | 45 | W | 0 | 18 | 47 | W | ||
Lesparre | Europe | France | 45 | 18 | 33 | N | 0 | 57 | 3 | W | 0 | 3 | 48 | W | ||
Liverpool | Europe | England | 53 | 22 | 0 | N | 2 | 56 | 45 | W | 0 | 11 | 47 | W | 11 | 8 |
Lewis Town | Amer. | Pensylvania | 38 | 47 | 27 | N | 75 | 15 | 48 | W | 5 | 1 | 3 | W | ||
Leyden I | Europe | Holland | 52 | 8 | 40 | N | 4 | 28 | 0 | E | 0 | 17 | 52 | E | ||
Liege | Europe | Netherlands | 50 | 39 | 22 | N | 5 | 31 | 30 | E | 0 | 22 | 6 | E | ||
Lilionthal | Europe | Saxony | 53 | 8 | 25 | N | 8 | 58 | 0 | E | 0 | 35 | 52 | E | ||
Lima | Amer. | Peru | 12 | 1 | 56 | S | 76 | 54 | 0 | W | 5 | 7 | 36 | W | ||
Limoges | Europe | France | 45 | 49 | 44 | N | 1 | 15 | 55 | E | 0 | 5 | 4 | E | ||
Lintz | Europe | Germany | 48 | 16 | 0 | N | 13 | 57 | 30 | E | 0 | 55 | 50 | E | ||
Lisieux | Europe | France | 49 | 8 | 50 | N | 0 | 13 | 32 | E | 0 | 0 | 54 | E | ||
Lisle | Europe | Flanders | 50 | 37 | 50 | N | 3 | 4 | 16 | E | 0 | 12 | 17 | E | ||
Lisbon | Europe | Portugal | 38 | 42 | 20 | N | 9 | 9 | 10 | W | 0 | 36 | 37 | W | 2 | 15 |
Lion's Bank | Europe | Atlantic Ocean | 56 | 40 | 0 | N | 17 | 45 | 0 | W | 1 | 11 | 0 | W | ||
Lisburne (Cape) | Asia | N. Hebrides | 15 | 40 | 45 | S | 166 | 57 | 0 | E | 11 | 7 | 48 | E | ||
Lisburne (Cape) | Amer. | Beering's Str | 69 | 5 | 0 | N | 165 | 22 | 30 | W | 11 | 1 | 30 | W | ||
Livourno | Europe | Italy | 43 | 33 | 2 | N | 10 | 16 | 30 | E | 0 | 41 | 6 | E |
[page] 182
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Lizard | Europe | England | 49 | 57 | 30 | N | 5 | 13 | 0 | W | 0 | 20 | 52 | W | 7 | 50 |
Lizier (St.) | Europe | France | 43 | 0 | 3 | N | 1 | 8 | 5 | E | 0 | 4 | 32 | E | ||
Loam-pit Hill | Europe | England | 51 | 28 | 7 | N | 0 | 1 | 25 | W | 0 | 0 | 6 | W | ||
Lodeve | Europe | France | 43 | 43 | 47 | N | 3 | 18 | 48 | E | 0 | 13 | 15 | E | ||
Loheia | Asia | Arabia | 15 | 42 | 8 | N | 42 | 8 | 30 | E | 2 | 48 | 34 | E | ||
Lombez | Europe | France | 43 | 28 | 21 | N | 0 | 54 | 24 | E | 0 | 3 | 38 | E | ||
London (St. Paul's) | Europe | England | 51 | 30 | 49 | N | 0 | 5 | 47 | W | 0 | 0 | 23 | W | 2 | 45 |
London Spital Squ. | Europe | England | 51 | 31 | 9 | N | 0 | 4 | 20 | W | 0 | 0 | 17 | W | ||
London Christ's Hos. | Europe | England | 51 | 30 | 52 | N | 0 | 5 | 51 | W | 0 | 0 | 23 | W | ||
London Mr.Graham's | Europe | England | 51 | 30 | 52 | N | 0 | 6 | 10 | W | 0 | 0 | 25 | W | ||
London Surry-str.Ob. | Europe | England | 51 | 30 | 40 | N | 0 | 6 | 45 | W | 0 | 0 | 27 | W | ||
London Somerset Pl. | Europe | England | 51 | 30 | 43 | N | 0 | 6 | 54 | W | 0 | 0 | 28 | W | ||
London Saville House | Europe | England | 51 | 30 | 38 | N | 0 | 7 | 42 | W | 0 | 0 | 31 | W | ||
Londonderry | Europe | Ireland | 54 | 59 | 28 | N | 7 | 14 | 49 | W | 0 | 28 | 59 | W | 6 | 0 |
Lopatka (Cape) | Asia | Kamtschatka | 51 | 0 | 15 | N | 156 | 42 | 30 | E | 10 | 26 | 50 | E | ||
Lorenzo (Cape) | Amer. | Peru | 1 | 2 | 0 | S | 80 | 59 | 45 | W | 5 | 23 | 59 | W | ||
Loretto | Europe | Italy | 43 | 27 | 0 | N | 13 | 34 | 50 | E | 0 | 54 | 19 | E | ||
Louis (Port) | Amer. | Hispaniola | 18 | 18 | 40 | N | 73 | 16 | 49 | W | 4 | 53 | 7 | W | ||
Louis (Port) | Africa | Mauritius | 20 | 9 | 44 | S | 57 | 28 | 15 | E | 3 | 49 | 53 | E | ||
Louisburg | Amer. | Cape Breton | 45 | 53 | 50 | N | 59 | 59 | 15 | W | 3 | 59 | 57 | W | ||
Louveau | Asia | India | 12 | 42 | 30 | N | 101 | 1 | 30 | E | 6 | 44 | 6 | E | ||
Louvain | Europe | Netherlands | 50 | 53 | 26 | N | 4 | 41 | 32 | E | 0 | 18 | 46 | E | ||
Lubni | Europe | Russia | 50 | 0 | 37 | N | 33 | 3 | 30 | E | 2 | 12 | 14 | E | ||
St. Lucar (Cape) | Amer. | Mexico | 22 | 45 | 0 | N | 110 | 0 | 0 | W | 7 | 20 | 0 | W | ||
St. Lucia (Isle) | Amer. | Antilles | 13 | 24 | 30 | N | 60 | 51 | 30 | W | 4 | 3 | 26 | W | ||
Lucipara | Asia | Str. Banka | 3 | 11 | 20 | S | 106 | 18 | 46 | E | 7 | 5 | 15 | E | ||
St. Lunaire Bay | Amer. | Newfoundland | 51 | 29 | 0 | N | 55 | 30 | 0 | W | 3 | 42 | 0 | W | ||
Lunden | Europe | Sweden | 55 | 42 | 13 | N | 13 | 11 | 5 | E | 0 | 52 | 44 | E | ||
Luneville | Europe | France | 48 | 35 | 33 | N | 6 | 30 | 6 | E | 0 | 26 | 0 | E | ||
Luson | Europe | France | 46 | 27 | 15 | N | 1 | 10 | 0 | W | 0 | 4 | 40 | W | ||
Luxembourg | Europe | Netherlands | 49 | 37 | 20 | N | 6 | 13 | 45 | E | 0 | 24 | 55 | E | ||
Lydd | Europe | England | 50 | 57 | 7 | N | 0 | 54 | 15 | E | 0 | 3 | 37 | E | ||
Lynn Regis | Europe | England | 52 | 45 | 34 | N | 0 | 24 | 29 | E | 0 | 1 | 38 | E | 6 | 45 |
Lyons | Europe | France | 45 | 45 | 52 | N | 4 | 49 | 9 | E | 0 | 19 | 17 | E | ||
M | ||||||||||||||||
Macao (Pia Grand) | Asia | China | 22 | 11 | 20 | N | 113 | 35 | 15 | E | 7 | 34 | 15 | E | 5 | 50 |
Macassar | Asia | Celebes | 5 | 9 | 0 | S | 119 | 48 | 45 | E | 7 | 59 | 15 | E | ||
Macclesfield Shoal | Asia | Chinese Sea | 15 | 51 | 18 | N | 114 | 18 | 0 | E | 7 | 37 | 12 | E | ||
Macon | Europe | France | 46 | 18 | 27 | N | 4 | 49 | 53 | E | 0 | 19 | 20 | E | ||
Maderia (Funchal) | Africa | Atlantic Ocean | 32 | 37 | 20 | N | 16 | 55 | 36 | W | 1 | 7 | 42 | W | 12 | 4 |
Madras | Asia | India | 13 | 4 | 54 | N | 80 | 24 | 49 | E | 5 | 21 | 39 | E | ||
Madre de Dios (Port) | Amer. | Marquesas | 9 | 55 | 30 | S | 139 | 8 | 40 | W | 9 | 16 | 35 | W | 2 | 30 |
Madrid | Europe | Spain | 40 | 25 | 18 | N | 3 | 38 | 30 | W | 0 | 14 | 34 | W | ||
Maestricht | Europe | Netherlands | 50 | 51 | 7 | N | 5 | 40 | 45 | E | 0 | 22 | 43 | E | ||
Mafamale | Africa | Zanquebar | 16 | 21 | 0 | S | 40 | 20 | 30 | E | 2 | 41 | 22 | E | ||
Magdalen (Isles) | Amer. | G.St.Lawrence | 47 | 17 | 0 | N | 61 | 26 | 0 | W | 4 | 5 | 44 | W | ||
Magdalena (Isle) | Amer. | Pacific Ocean | 10 | 25 | 30 | S | 138 | 49 | 0 | W | 9 | 15 | 16 | W | ||
Mahon (Port) | Europe | Minorca | 39 | 51 | 48 | N | 3 | 48 | 30 | E | 0 | 15 | 14 | E | ||
Majorca (Isle) | Europe | Medit. Sea | 39 | 35 | 0 | N | 2 | 29 | 45 | E | 0 | 9 | 59 | E | ||
Maize (Cape) | Amer. | Cuba | 20 | 18 | 0 | N | 74 | 23 | 0 | W | 4 | 57 | 32 | W | ||
Malacca | Asia | India | 2 | 12 | 6 | N | 102 | 8 | 45 | E | 6 | 48 | 35 | E | ||
Malicoy (Island) | Asia | Indian Ocean | 8 | 15 | 30 | N | 73 | 9 | 30 | E | 4 | 52 | 38 | E | ||
Mallicola (Isle) | Asia | Pacific Ocean | 16 | 15 | 30 | S | 167 | 39 | 15 | E | 11 | 10 | 37 | E | ||
Maloes (St.) | Europe | France | 48 | 39 | 3 | N | 2 | 1 | 26 | W | 0 | 8 | 6 | W | 6 | 0 |
Malmoe | Europe | Sweden | 55 | 36 | 37 | N | 13 | 1 | 4 | E | 0 | 52 | 4 | E | ||
Malta (Town) | Africa | Mediter. Sea | 35 | 53 | 50 | N | 14 | 28 | 30 | E | 0 | 57 | 54 | E | ||
Manchester | Europe | England | 53 | 26 | 30 | N | 2 | 15 | 0 | W | 0 | 9 | 0 | W | ||
Mangalore | Asia | Malabar | 12 | 50 | 0 | N | 74 | 57 | 24 | E | 4 | 59 | 50 | E | ||
Mangeea (Isle) | Amer. | Pacific Ocean | 21 | 56 | 45 | S | 158 | 3 | 0 | W | 10 | 32 | 12 | W |
[page] 183
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Manheim | Europe | Germany | 49 | 28 | 59 | N | 8 | 27 | 22 | E | 0 | 33 | 49 | E | ||
Manilla | Asia | Philippines | 14 | 36 | 8 | N | 120 | 51 | 15 | E | 8 | 3 | 25 | E | ||
Mansfelt (Isle) | Amer. | Hudson's Bay | 62 | 38 | 30 | N | 80 | 33 | 0 | W | 5 | 22 | 12 | W | ||
Maria V. Diem. (C.) | Asia | New Zeeland | 34 | 29 | 15 | S | 172 | 46 | 30 | E | 11 | 31 | 16 | E | ||
St. Marcou (Isle) | Europe | France | 49 | 29 | 52 | N | 1 | 8 | 56 | W | 0 | 4 | 36 | W | ||
Marigalante (Isle) | Amer. | Atlantic Ocean | 15 | 55 | 15 | N | 61 | 11 | 0 | W | 4 | 4 | 44 | W | ||
Marmara (Isle) | Asia | Sea of Marmara | 40 | 37 | 4 | N | 27 | 30 | 35 | E | 1 | 50 | 2 | E | ||
Marpurg | Europe | Germany | 46 | 34 | 42 | N | 15 | 41 | 20 | E | 1 | 2 | 45 | E | ||
Mardeilles | Europe | France | 43 | 17 | 43 | N | 5 | 22 | 12 | E | 0 | 21 | 29 | E | ||
St. Martha | Amer. | Terra Firma | 11 | 19 | 2 | N | 74 | 4 | 30 | W | 4 | 56 | 18 | W | ||
St. Martin's Cape | Africa | St. Helen's Bay | 32 | 41 | 43 | S | 17 | 55 | 0 | E | 1 | 11 | 40 | E | ||
St. Martin's Isle | Amer. | Carib. Sea | 18 | 4 | 20 | N | 63 | 2 | 0 | W | 4 | 12 | 8 | W | ||
Martinico (Isle) | Amer. | West Indies | 14 | 44 | 0 | N | 61 | 21 | 16 | W | 4 | 5 | 25 | W | ||
Martin-Vaz | Amer. | Atl. Ocean | 20 | 28 | 16 | S | 29 | 1 | 0 | W | 1 | 56 | 4 | W | 3 | 45 |
St. Mary's Isle | Europe | Scilly Isles | 49 | 55 | 30 | N | 6 | 16 | 45 | W | 0 | 25 | 7 | W | ||
St. Mary's Town | Europe | Azores | 36 | 56 | 40 | N | 25 | 9 | 10 | W | 1 | 40 | 37 | W | ||
Mas-a-fuera (Isle) | Amer. | Pacific Ocean | 33 | 45 | 0 | S | 80 | 22 | 0 | W | 5 | 21 | 28 | W | ||
Maskelyne's Isles | Asia | New Hebrides | 16 | 32 | 0 | S | 167 | 59 | 15 | E | 11 | 11 | 57 | E | ||
Masulipatam | Asia | India | 16 | 8 | 30 | N | 81 | 11 | 45 | E | 5 | 24 | 47 | E | ||
St. Matthew's Light | Europe | France | 48 | 19 | 34 | N | 4 | 45 | 54 | W | 0 | 19 | 4 | W | ||
Mauritius (Pt.Louis) | Africa | Indian Ocean | 20 | 9 | 45 | S | 57 | 29 | 15 | E | 3 | 49 | 57 | E | ||
Maurua (Isle) | Amer. | Pacific Ocean | 16 | 25 | 40 | S | 152 | 32 | 40 | W | 10 | 10 | 11 | W | ||
Mayance | Europe | Germany | 49 | 54 | 0 | N | 8 | 20 | 0 | E | 0 | 33 | 20 | E | ||
Mayne's (John) Isle | Europe | North. Ocean | 71 | 10 | 0 | N | 9 | 49 | 30 | W | 0 | 39 | 18 | W | ||
Mayo (Isle) | Africa | Cape Verd | 15 | 12 | 40 | N | 23 | 14 | 7 | W | 1 | 32 | 56 | W | ||
Mayotta (Peak) | Africa | Comora Isles | 12 | 59 | 15 | S | 45 | 25 | 0 | E | 3 | 1 | 40 | E | ||
Meaux | Europe | France | 48 | 57 | 40 | N | 2 | 52 | 30 | E | 0 | 11 | 30 | E | ||
Mechlin | Europe | Netherlands | 51 | 1 | 50 | N | 4 | 28 | 45 | E | 0 | 17 | 55 | E | ||
Mende | Europe | France | 44 | 31 | 2 | N | 3 | 29 | 35 | E | 0 | 13 | 58 | E | ||
Mercury Bay | Asia | New Zeeland | 36 | 48 | 0 | S | 176 | 6 | 20 | E | 11 | 44 | 25 | E | ||
Mergui | Asia | Siam | 12 | 10 | 30 | N | 98 | 19 | 15 | E | 6 | 33 | 17 | E | ||
Mesurado Bay | Africa | Grain Coast | 6 | 18 | 20 | N | 10 | 49 | 0 | W | 0 | 43 | 16 | W | ||
Metz | Europe | France | 49 | 7 | 10 | N | 6 | 10 | 13 | E | 0 | 24 | 41 | E | ||
Mew-Stone | Asia | New Holland | 43 | 47 | 15 | S | 146 | 26 | 30 | E | 9 | 45 | 46 | E | ||
Mexico | Amer. | Mexico | 19 | 54 | 0 | N | 99 | 41 | 45 | W | 6 | 38 | 47 | W | ||
Mezieres | Europe | France | 49 | 45 | 47 | N | 4 | 43 | 16 | E | 0 | 18 | 53 | E | ||
Miatea (Isle) | Amer. | Pacific Ocean | 17 | 52 | 20 | S | 148 | 6 | 0 | W | 9 | 52 | 24 | W | ||
St. Michael's Isle | Europe | Azores | 37 | 47 | 0 | N | 25 | 42 | 0 | W | 1 | 42 | 48 | W | ||
Middleburg | Europe | Zeeland | 51 | 30 | 6 | N | 3 | 36 | 35 | E | 0 | 14 | 26 | E | ||
Middleburg (Isle) | Asia | Friendly Isles | 21 | 20 | 30 | S | 174 | 34 | 0 | W | 11 | 38 | 16 | W | ||
Milan | Europe | Italy | 45 | 28 | 0 | N | 9 | 10 | 52 | E | 0 | 36 | 43 | E | ||
Milo (Isle) | Europe | Medit. Sea | 36 | 41 | 0 | N | 25 | 0 | 0 | E | 1 | 40 | 0 | E | ||
Minster | Europe | England | 51 | 19 | 50 | N | 1 | 18 | 46 | E | 0 | 5 | 15 | E | ||
Mirepoix | Europe | France | 48 | 5 | 7 | N | 1 | 52 | 11 | E | 0 | 7 | 29 | E | ||
Mirroe (Isle) | Asia | Bengal Bay | 7 | 29 | 0 | N | 93 | 37 | 30 | E | 6 | 14 | 30 | E | ||
Mittau | Europe | Courland | 56 | 39 | 10 | N | 23 | 42 | 45 | E | 1 | 34 | 51 | E | ||
Mocca | Asia | Arabia | 13 | 16 | 0 | N | 44 | 0 | 0 | E | 2 | 56 | 0 | E | ||
Mocha (Isle) | Amer. | Pacific Ocean | 38 | 22 | 30 | S | 74 | 37 | 0 | W | 4 | 58 | 28 | W | ||
Modena | Europe | Italy | 44 | 34 | 0 | N | 11 | 12 | 30 | E | 0 | 44 | 50 | E | ||
Mohilew | Europe | Russia | 53 | 54 | 0 | N | 30 | 24 | 30 | E | 2 | 1 | 38 | E | ||
Monopin Hill | Asia | Banka | 2 | 1 | 20 | S | 105 | 21 | 7 | E | 7 | 1 | 24 | E | ||
Mons | Europe | Netherlands | 50 | 27 | 10 | N | 3 | 57 | 15 | E | 0 | 15 | 49 | E | ||
Monsieurs | Asia | Borneo | 4 | 23 | 40 | S | 115 | 34 | 45 | E | 7 | 42 | 19 | E | ||
Montague (Cape) | Amer. | Sandwich Land | 58 | 33 | 0 | S | 26 | 46 | 0 | W | 1 | 47 | 4 | W | ||
Montagu (Isle) | Asia | New Hebrides | 17 | 26 | 0 | S | 168 | 31 | 30 | E | 11 | 14 | 6 | E | ||
Montalto | Europe | Italy | 42 | 59 | 44 | N | 13 | 35 | 14 | E | 0 | 54 | 21 | E | ||
Montauban | Europe | France | 44 | 0 | 55 | N | 1 | 20 | 51 | E | 0 | 5 | 23 | E | ||
Monte-Christi | Amer. | Peru | 1 | 2 | 0 | S | 80 | 49 | 15 | W | 5 | 23 | 17 | W | ||
Montego Bay | Amer. | Jamaica | 18 | 31 | 0 | N | 78 | 20 | 0 | W | 5 | 13 | 20 | W | ||
Monterrey | Amer. | New Albion | 36 | 36 | 20 | N | 121 | 34 | 15 | W | 8 | 6 | 17 | W | 7 | 30 |
Montlambert | Europe | France | 50 | 43 | 2 | N | 1 | 38 | 45 | E | 0 | 6 | 35 | E | ||
Montmirail | Europe | France | 48 | 52 | 8 | N | 3 | 32 | 16 | E | 0 | 14 | 9 | E |
[page] 184
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitude. | Longitude | H. W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Montpellier | Europe | France | 43 | 36 | 29 | N | 3 | 51 | 45 | E | 0 | 15 | 27 | E | ||
Montserrat (Isle) | Amer. | Carib. Sea | 16 | 49 | 0 | N | 62 | 27 | 0 | W | 4 | 9 | 48 | W | ||
Monument (The) | Asia | New Hebrides | 17 | 14 | 15 | S | 168 | 38 | 15 | E | 11 | 14 | 33 | E | ||
Moose Fort | Amer. | New Wales | 51 | 15 | 54 | N | 80 | 54 | 41 | W | 5 | 23 | 39 | W | ||
Morant (Point) | Amer. | Jamaica | 17 | 58 | 0 | N | 76 | 15 | 45 | W | 5 | 5 | 3 | W | ||
Morokinnee | Amer. | Sandwich Isles | 20 | 39 | 0 | N | 156 | 29 | 30 | W | 10 | 25 | 58 | W | ||
Morotoi | Amer. | Sandwich Isles | 21 | 10 | 0 | N | 157 | 17 | 0 | W | 10 | 29 | 8 | W | ||
Moscow | Europe | Moscovy | 55 | 45 | 20 | N | 37 | 46 | 15 | E | 2 | 31 | 5 | E | ||
Mosdok | Europe | Russia | 43 | 43 | 23 | N | 43 | 50 | 0 | E | 2 | 55 | 20 | E | 10 | 15 |
Mosketto Cove | Amer. | Greenland | 64 | 55 | 13 | N | 52 | 56 | 45 | W | 3 | 31 | 47 | W | ||
Moulins | Europe | France | 46 | 34 | 4 | N | 3 | 20 | 0 | E | 0 | 13 | 20 | E | ||
Mount (Cape) | Africa | Grain Coast | 6 | 46 | 0 | N | 11 | 48 | 0 | W | 0 | 47 | 12 | W | ||
Mowee (East Point) | Amer. | Sandwich Isles | 20 | 50 | 30 | N | 155 | 55 | 0 | W | 10 | 23 | 40 | W | ||
Mowee (WestPoint) | Amer. | Sandwich Isles | 20 | 53 | 30 | N | 156 | 38 | 30 | W | 10 | 26 | 34 | W | ||
Mulgrave (Point) | Amer. | Beering's Str. | 67 | 45 | 30 | N | 165 | 12 | 0 | W | 11 | 0 | 48 | W | ||
Munich | Europe | Bavaria | 48 | 7 | 37 | N | 11 | 32 | 30 | E | 0 | 46 | 10 | E | ||
Muswell Hill | Europe | England | 51 | 35 | 32 | N | 0 | 7 | 20 | W | 0 | 0 | 29 | W | ||
N | ||||||||||||||||
Nagpour | Asia | India | 21 | 8 | 30 | N | 79 | 46 | 0 | E | 5 | 19 | 4 | E | ||
Namur | Europe | Netherlands | 50 | 28 | 3 | N | 4 | 47 | 45 | E | 0 | 19 | 11 | E | ||
Nancovery Harbour | Asia | Nicobar Isles | 7 | 58 | 0 | N | 93 | 26 | 0 | E | 6 | 13 | 44 | E | ||
Nancy | Europe | France | 48 | 41 | 55 | N | 6 | 10 | 15 | E | 0 | 24 | 41 | E | ||
Nangasacht | Asia | Japan | 32 | 32 | 0 | N | 128 | 46 | 15 | E | 8 | 35 | 5 | E | ||
Nankin | Asia | China | 32 | 4 | 40 | N | 118 | 47 | 0 | E | 7 | 55 | 8 | E | ||
Nantes | Europe | France | 47 | 13 | 7 | N | 1 | 33 | 0 | W | 0 | 6 | 12 | W | 3 | 0 |
Naples | Europe | Italy | 40 | 50 | 15 | N | 14 | 18 | 0 | E | 0 | 57 | 22 | E | ||
Narbonne | Europe | France | 43 | 10 | 58 | N | 3 | 0 | 0 | E | 0 | 12 | 0 | E | ||
Narcondam | Asia | Bengal Bay | 13 | 25 | 15 | N | 94 | 7 | 0 | E | 6 | 16 | 28 | E | ||
Narva | Europe | Livonia | 59 | 23 | 27 | N | 28 | 21 | 45 | E | 1 | 53 | 27 | E | ||
Navassa (Isle) | Amer. | Atlantic Ocean | 18 | 23 | 30 | N | 75 | 1 | 18 | W | 5 | 0 | 5 | W | ||
Needles (Light) | Europe | Isle of Wight | 50 | 39 | 53 | N | 1 | 33 | 55 | W | 0 | 6 | 16 | W | 10 | 30 |
Negapatam | Asia | India | 10 | 46 | 0 | N | 79 | 48 | 26 | E | 5 | 19 | 14 | E | ||
Negrais (Cape) | Asia | India | 15 | 56 | 30 | N | 94 | 18 | 0 | E | 6 | 17 | 12 | E | ||
Neschin | Europe | Russia | 51 | 2 | 45 | N | 31 | 49 | 30 | E | 2 | 7 | 18 | E | ||
Neustadt | Europe | Austria | 47 | 48 | 27 | N | 16 | 13 | 17 | E | 1 | 4 | 53 | E | ||
Nevers | Europe | France | 46 | 59 | 17 | N | 3 | 9 | 16 | E | 0 | 12 | 37 | E | ||
Newbury | Amer. | New England | 43 | 2 | 0 | N | 70 | 37 | 30 | W | 4 | 42 | 30 | W | ||
Newenham (Cape) | Amer. | Beering's Str. | 58 | 41 | 30 | N | 162 | 19 | 30 | W | 10 | 49 | 18 | W | ||
Newington (Stoke) | Europe | England | 51 | 33 | 40 | N | 0 | 4 | 59 | W | 0 | 0 | 20 | W | ||
Newtee (Point) | Asia | India | 15 | 56 | 0 | N | 73 | 36 | 0 | E | 4 | 54 | 24 | E | ||
New-werk (Isle) | Europe | Lower Saxony | 53 | 55 | 19 | N | 8 | 31 | 9 | E | 0 | 34 | 6 | E | ||
New-year's Harbo. | Amer. | Staten Land | 54 | 48 | 55 | S | 64 | 11 | 0 | W | 4 | 16 | 44 | W | ||
Nice | Europe | Italy | 43 | 41 | 47 | N | 7 | 16 | 22 | E | 0 | 29 | 5 | E | ||
Nicholas Mole (St.) | Amer. | Hispaniola | 19 | 49 | 20 | N | 73 | 29 | 45 | W | 4 | 53 | 59 | W | ||
Nicobar (Great) | Asia | Bengal Bay | 7 | 4 | 0 | N | 93 | 44 | 0 | E | 6 | 14 | 56 | E | ||
Nicobar (Car) | Asia | Bengal Bay | 9 | 10 | 0 | N | 92 | 50 | 0 | E | 6 | 11 | 20 | E | ||
Nieuport | Europe | Flanders | 51 | 7 | 41 | N | 2 | 45 | 5 | E | 0 | 11 | 0 | E | 11 | 45 |
Ningpo | Asia | China | 29 | 57 | 45 | N | 120 | 18 | 0 | E | 8 | 1 | 12 | E | ||
Nimes | Europe | France | 43 | 50 | 12 | N | 4 | 18 | 39 | E | 0 | 17 | 15 | E | ||
Noir (Cape) | Amer. | Terradel Fuego | 54 | 32 | 30 | S | 73 | 3 | 15 | W | 4 | 52 | 13 | W | ||
Noirmoutier (Isle) | Europe | France | 47 | 0 | 5 | N | 2 | 14 | 22 | W | 0 | 8 | 57 | W | ||
Nootka Sound | Amer. | Pacific Ocean | 49 | 36 | 7 | N | 126 | 42 | 10 | W | 8 | 26 | 41 | W | 0 | 20 |
Norburg | Europe | Denmark | 55 | 3 | 43 | N | 9 | 45 | 18 | E | 0 | 39 | 1 | E | ||
Norfolk Island | Asia | Pacific Ocean | 29 | 1 | 45 | S | 168 | 10 | 0 | E | 11 | 12 | 40 | E | ||
Noriton | Amer. | Pensylvania | 40 | 9 | 56 | N | 75 | 28 | 30 | W | 5 | 1 | 54 | W | ||
North Cape | Europe | Lapland | 71 | 10 | 30 | N | 25 | 49 | 0 | E | 1 | 43 | 16 | E | 3 | 44 |
North (Cape) | Amer. | South Georgia | 54 | 4 | 45 | S | 38 | 15 | 0 | W | 2 | 33 | 0 | W | ||
North (Cape) | Asia | Beering's Str. | 68 | 56 | 0 | N | 179 | 11 | 30 | W | 11 | 56 | 46 | W | ||
North Island | Asia | Str. of Sunda | 5 | 37 | 5 | S | 105 | 55 | 0 | E | 7 | 3 | 40 | E |
[page] 185
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
North Island | Asia | Chinese Sea | 25 | 14 | 0 | N | 141 | 14 | 0 | E | 9 | 24 | 56 | E | ||
Norton's Sound | Amer. | Beering's Str. | 64 | 30 | 30 | N | 162 | 47 | 30 | W | 10 | 51 | 10 | W | ||
Noyon | Europe | France | 49 | 34 | 59 | N | 2 | 59 | 48 | E | 0 | 11 | 59 | E | ||
Nuremberg | Europe | Germany | 49 | 27 | 3 | N | 11 | 0 | 45 | E | 0 | 44 | 3 | E | ||
O | ||||||||||||||||
Oaitipeha Bay | Amer. | Otaheite | 17 | 45 | 45 | S | 149 | 8 | 57 | W | 9 | 56 | 36 | W | ||
Ochotsk | Asia | Tartary | 59 | 20 | 10 | N | 143 | 12 | 30 | E | 9 | 32 | 50 | E | ||
Ohamaneno Harb | Amer. | Uliteah | 16 | 45 | 30 | S | 151 | 37 | 31 | W | 10 | 6 | 30 | W | 11 | 30 |
Oheteroæ (Isle) | Amer. | Pacific Ocean | 22 | 26 | 36 | S | 150 | 48 | 45 | W | 10 | 3 | 15 | W | ||
Ohebahoa (Isle) | Amer. | Marquesas | 9 | 40 | 40 | S | 139 | 1 | 40 | W | 9 | 16 | 7 | W | ||
Ohitahoo (Isle) | Amer. | Marquesas | 9 | 55 | 30 | S | 139 | 6 | 0 | W | 9 | 16 | 24 | W | 2 | 30 |
Oldenburg | Europe | Westphalia | 53 | 8 | 40 | N | 8 | 14 | 20 | E | 0 | 32 | 57 | E | ||
Oleron | Europe | France | 43 | 11 | 1 | N | 0 | 36 | 30 | W | 0 | 2 | 26 | W | ||
Oleron (Isle) | Europe | France | 46 | 2 | 51 | N | 1 | 24 | 27 | W | 0 | 5 | 38 | W | ||
Olinde | Amer. | Brasil | 8 | 13 | 0 | S | 35 | 5 | 30 | W | 2 | 20 | 22 | W | ||
Olonse (Sableso) | Europe | France | 46 | 29 | 52 | N | 1 | 47 | 5 | W | 0 | 7 | 8 | W | ||
Omergon (Tow.) | Asia | India | 20 | 10 | 30 | N | 72 | 56 | 30 | E | 4 | 51 | 46 | E | ||
Omer's (St.) | Europe | France | 50 | 44 | 52 | N | 2 | 14 | 57 | E | 0 | 9 | 0 | E | ||
Onateayo (Isle) | Amer. | Marquesas | 9 | 58 | 0 | N | 138 | 51 | 0 | W | 9 | 15 | 24 | W | ||
Onecheow (Isle) | Amer. | Sandwich Isle | 21 | 49 | 30 | N | 160 | 13 | 30 | W | 10 | 40 | 54 | W | ||
Oonalaska | Amer. | Beering's Str. | 53 | 54 | 29 | N | 166 | 22 | 15 | W | 11 | 5 | 29 | W | ||
Oonemak (Cape) | Amer. | Beering's Str. | 54 | 30 | 30 | N | 165 | 31 | 0 | W | 11 | 10 | 4 | W | ||
Opara (Isle) | Amer. | Pacific Ocean | 27 | 36 | 0 | S | 144 | 8 | 32 | W | 9 | 36 | 34 | W | ||
Oporto | Europe | Portugal | 41 | 10 | 0 | N | 8 | 22 | 0 | W | 0 | 33 | 28 | W | ||
Orange | Europe | France | 44 | 8 | 10 | N | 4 | 48 | 8 | E | 0 | 19 | 13 | E | ||
Oreehoua | Amer. | Sandwich Isle | 22 | 3 | 0 | N | 160 | 6 | 30 | W | 10 | 40 | 26 | W | ||
Orel | Europe | Russia | 52 | 56 | 40 | N | 35 | 57 | 0 | E | 2 | 23 | 48 | E | ||
Orenburg | Asia | Tartary | 51 | 46 | 3 | N | 55 | 7 | 35 | E | 3 | 40 | 30 | E | ||
Orford (Cape) | Amer. | Pacific Ocean | 42 | 52 | 0 | N | 124 | 25 | 0 | W | 8 | 17 | 40 | W | ||
Orford-Ness | Europe | England | 52 | 4 | 30 | N | 1 | 28 | 1 | E | 0 | 5 | 52 | E | ||
Orleans | Europe | France | 47 | 54 | 10 | N | 1 | 54 | 27 | E | 0 | 7 | 38 | E | ||
Orleans (New) | Amer. | Lousiana | 29 | 57 | 45 | N | 89 | 58 | 45 | W | 5 | 59 | 55 | W | ||
Oratava | Africa | Tenerisse | 28 | 23 | 35 | N | 16 | 35 | 35 | W | 1 | 6 | 22 | W | ||
Orsk | Asia | Tartary | 51 | 12 | 32 | N | 58 | 32 | 0 | E | 3 | 54 | 8 | E | ||
Ortegal (Cape) | Europe | Spain | 43 | 46 | 37 | N | 7 | 38 | 0 | W | 0 | 30 | 32 | W | ||
Osimo | Europe | Italy | 43 | 29 | 36 | N | 13 | 27 | 8 | E | 0 | 53 | 49 | E | ||
Osnaburg | Europe | Germany | 52 | 16 | 14 | N | 7 | 47 | 30 | E | 0 | 31 | 10 | E | ||
Osnaburg (Isle) | Amer. | Pacific Ocean | 17 | 52 | 20 | S | 148 | 6 | 0 | W | 9 | 52 | 24 | E | ||
Ostend | Europe | Netherlands | 51 | 15 | 10 | N | 2 | 56 | 30 | E | 0 | 11 | 46 | E | 11 | 45 |
Ostia | Europe | Italy | 41 | 45 | 35 | N | 12 | 16 | 20 | E | 0 | 49 | 5 | E | ||
O?akootaia (Isle) | Amer. | Pacific Ocean | 19 | 51 | 30 | S | 158 | 23 | 0 | W | 10 | 33 | 32 | W | ||
Overbierg | Europe | Norway | 59 | 6 | 52 | N | 11 | 22 | 15 | E | 0 | 45 | 29 | E | ||
Ower Rocks | Europe | England | 50 | 39 | 57 | N | 0 | 40 | 0 | W | 0 | 2 | 40 | W | ||
Owharre Bay | Amer. | Huahine | 16 | 42 | 46 | S | 151 | 9 | 6 | W | 10 | 4 | 36 | W | 11 | 50 |
Owhyhee N Point | Amer. | Sandwich Isle | 20 | 17 | 0 | N | 155 | 59 | 0 | W | 10 | 23 | 56 | W | ||
S Point | Amer. | Sandwich Isle | 18 | 54 | 30 | N | 155 | 48 | 0 | W | 10 | 23 | 12 | W | ||
E Point | Amer. | Sandwich Isle | 19 | 33 | 0 | N | 154 | 52 | 0 | W | 10 | 19 | 28 | W | ||
Oxford Observatory | Europe | England | 51 | 45 | 38 | N | 1 | 15 | 0 | W | 0 | 5 | 0 | W | ||
P | ||||||||||||||||
Paddlesworth | Europe | England | 51 | 6 | 50 | N | 1 | 8 | 9 | E | 0 | 4 | 33 | E | ||
Padua | Europe | Italy | 45 | 23 | 40 | N | 11 | 52 | 56 | E | 0 | 47 | 32 | E | ||
Paimbeuf | Europe | France | 47 | 17 | 15 | N | 2 | 1 | 46 | W | 0 | 8 | 7 | W | ||
Paita | Amer. | Peru | 5 | 12 | 0 | S | ||||||||||
Paix (Port) | Amer. | Hispaniola | 19 | 56 | 0 | N | 72 | 52 | 15 | W | 4 | 51 | 29 | W | ||
Palermo | Europe | Sicily | 38 | 6 | 45 | N | 13 | 20 | 15 | E | 0 | 53 | 21 | E | ||
Palliser (Cape) | Asia | New Zeeland | 41 | 38 | 0 | S | 175 | 23 | 12 | E | 11 | 41 | 33 | E | ||
Palliser's Isles | Amer. | Pacific Ocean | 15 | 38 | 15 | S | 146 | 30 | 15 | W | 9 | 46 | 1 | W |
A a
[page] 186
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Palliser (Port) | Africa | Kergulin's La | 49 | 3 | 15 | S | 69 | 35 | 0 | E | 4 | 38 | 20 | E | ||
Palma (Isle) | Africa | Canaries | 28 | 36 | 45 | N | 17 | 49 | 6 | W | 1 | 11 | 16 | W | ||
Palmas (Cape) | Africa | Grain Coast | 4 | 30 | 0 | N | 7 | 41 | 0 | W | 0 | 30 | 44 | W | ||
Palmerston's Isle | Amer. | Pacific Ocean | 18 | 0 | 30 | S | 163 | 12 | 0 | W | 10 | 52 | 48 | W | ||
Palmiras (Point) | Asia | India | 20 | 44 | 0 | N | 87 | 1 | 26 | E | 5 | 48 | 6 | E | 9 | ? |
Palmiers | Europe | France | 43 | 6 | 44 | N | 1 | 36 | 21 | E | 0 | 6 | 25 | E | ||
Panama | Amer. | Mexico | 8 | 58 | 12 | N | 80 | 15 | 15 | W | 5 | 21 | 1 | W | ||
Paoom (Isle) | Asia | New Hebrides | 16 | 30 | 0 | S | 168 | 28 | 45 | E | 11 | 13 | 55 | E | ||
Para | Amer. | R. Amazons | 1 | 28 | 0 | S | 48 | 40 | 0 | W | 3 | 14 | 40 | W | ||
Paris (Observatory) | Europe | France | 48 | 50 | 14 | N | 2 | 20 | 0 | E | 0 | 9 | 20 | E | ||
Parma | Europe | Italy | 44 | 44 | 50 | N | 10 | 26 | 30 | E | 0 | 41 | 46 | E | ||
Passado | Amer. | Peru | 0 | 10 | 0 | S | 82 | 0 | 0 | W | 5 | 28 | 0 | W | ||
Patrixfiord | Europe | Iceland | 65 | 35 | 45 | N | 24 | 10 | 0 | W | 1 | 36 | 40 | W | ||
Pau | Europe | France | 43 | 15 | 0 | N | 0 | 9 | 0 | W | 0 | 0 | 36 | W | ||
St. Paul's Isle | Africa | Indian Ocean | 38 | 44 | 0 | S | 77 | 18 | 0 | E | 5 | 9 | 12 | E | ||
St. Paul de Leon | Europe | France | 48 | 41 | 24 | N | 3 | 58 | 37 | W | 0 | 15 | 54 | W | 4 | |
Pavia | Europe | Italy | 45 | 10 | 59 | N | 9 | 11 | 30 | E | 0 | 36 | 46 | E | ||
Pednathias Head | Europe | Scilly Isles | 49 | 52 | 2 | N | ||||||||||
Pedra Blanca | Asia | Chinese Sea | 22 | 16 | 0 | N | 115 | 22 | 57 | E | 7 | 41 | 32 | E | ||
Pedra Branca | Asia | Str.of Malacca | 1 | 18 | 0 | N | 104 | 31 | 49 | E | 6 | 58 | 7 | E | ||
Pedra (Point) | Asia | Ceylon | 39 | 52 | 0 | N | 80 | 27 | 0 | E | 5 | 21 | 48 | E | ||
Pekin | Asia | China | 39 | 54 | 47 | N | 116 | 24 | 51 | E | 7 | 45 | 39 | E | ||
Pellew Isles | Asia | Chinese Sea | 7 | 19 | 0 | N | 134 | 40 | 0 | E | 8 | 58 | 40 | E | ||
Pello | Europe | Finland | 66 | 48 | 16 | N | 23 | 58 | 15 | E | 1 | 35 | 53 | E | ||
Pera (Pulo) | Asia | Str.of Malacca | 99 | 8 | 30 | E | 6 | 36 | 34 | E | ||||||
Perigueux | Europe | France | 45 | 11 | 8 | N | 0 | 43 | 19 | E | 0 | 2 | 53 | E | ||
Perinaldo | Europe | Italy | 43 | 53 | 20 | N | 7 | 42 | 45 | E | 0 | 30 | 51 | E | ||
Permera (Rocks) | Asia | Indian Ocean | 13 | 13 | 0 | N | 74 | 44 | 0 | E | 4 | 58 | 56 | E | ||
Peros Banhos | Asia | Indian Ocean | 5 | 22 | 0 | N | 71 | 53 | 0 | E | 4 | 47 | 32 | E | ||
Perpetua (Cape) | Amer. | Pacific Ocean | 44 | 4 | 30 | N | 124 | 14 | 0 | W | 8 | 16 | 56 | W | ||
Perpignan | Europe | France | 42 | 41 | 53 | N | 2 | 53 | 35 | E | 0 | 11 | 34 | E | ||
Pesaro | Europe | Italy | 43 | 55 | 1 | N | 12 | 53 | 21 | E | 0 | 51 | 33 | E | ||
St. Petersburg | Europe | Rissia | 59 | 56 | 23 | N | 30 | 19 | 15 | E | 2 | 1 | 17 | E | ||
St. Peter's Fort | Amer. | Martinico | 14 | 44 | 0 | N | 61 | 21 | 16 | E | 4 | 5 | 25 | W | ||
St. Peter's Isle | Amer. | Atlantic Ocean | 46 | 46 | 30 | N | 56 | 17 | 0 | W | 3 | 45 | 8 | W | ||
St. Peter and Paul | Asia | Kamtschatska | 53 | 0 | 37 | N | 158 | 44 | 30 | E | 10 | 34 | 58 | E | 4 | ? |
Petit Goave | Amer. | Hispaniola | 18 | 27 | 0 | N | 72 | 45 | 34 | W | 4 | 51 | 2 | W | ||
Petrosawodsk | Europe | Russia | 61 | 47 | 4 | N | 34 | 23 | 30 | E | 2 | 17 | 34 | E | ||
Pettaw | Europe | Styria | 46 | 26 | 21 | N | 15 | 59 | 15 | E | 1 | 3 | 57 | E | ||
Petworth | Europe | England | 50 | 59 | 17 | N | 0 | 36 | 26 | W | 0 | 2 | 26 | W | ||
Pevensey | Europe | England | 50 | 49 | 12 | N | 0 | 20 | 14 | E | 0 | 1 | 21 | E | ||
Philadelphia | Amer. | Pensylvania | 39 | 56 | 54 | N | 75 | 13 | 45 | W | 5 | 0 | 55 | W | 3 | |
Philip (Str.) | Europe | Flanders | 51 | 16 | 55 | N | 3 | 45 | 12 | E | 0 | 15 | 1 | E | ||
St. Philips Fort | Europe | Minorca | 39 | 50 | 46 | N | 3 | 48 | 30 | E | 0 | 15 | 14 | E | ||
Philipsburg | Europe | Germany | 49 | 14 | 1 | N | 8 | 26 | 34 | E | 0 | 33 | 46 | E | ||
Philipville | Europe | Netherlands | 50 | 11 | 19 | N | 4 | 32 | 19 | E | 0 | 18 | 9 | E | ||
Pickersgill's Harb | Asia | New Zeeland | 45 | 47 | 27 | S | 166 | 18 | 9 | E | 11 | 5 | 13 | E | 10 | ? |
Pickersgill's Isle | Amer. | Atlantic Ocean | 54 | 42 | 30 | S | 36 | 58 | 0 | W | 2 | 27 | 52 | W | ||
Pico | Europe | Azores | 38 | 26 | 52 | N | 28 | 27 | 40 | W | 1 | 53 | 51 | W | ||
Pines (Isle of) | Asia | New Caledonia | 22 | 38 | 0 | S | 167 | 38 | 0 | E | 11 | 10 | 32 | E | ||
Pisa | Europe | Italy | 43 | 43 | 7 | N | 10 | 22 | 52 | E | 0 | 41 | 31 | E | ||
Piscadores | Asia | Pacific Ocean | 11 | 15 | 0 | N | 167 | 20 | 20 | E | 11 | 9 | 21 | E | ||
Plate-Rack NE. P. | Amer. | West Indies | 20 | 31 | 0 | N | 69 | 33 | 0 | W | 4 | 38 | 12 | W | ||
S Point | Amer. | West Indies | 20 | 13 | 35 | N | 69 | 37 | 45 | W | 4 | 38 | 31 | W | ||
NW.P. | Amer. | West Indies | 20 | 30 | 0 | N | 70 | 4 | 30 | W | 4 | 40 | 18 | W | ||
Plymouth | Europe | England | 50 | 22 | 30 | N | 4 | 12 | 45 | W | 0 | 16 | 51 | W | 6 | |
Poitiers | Europe | France | 46 | 34 | 50 | N | 0 | 20 | 48 | E | 0 | 1 | 23 | E | ||
Pollingen | Europe | Germany | 47 | 48 | 17 | N | 11 | 7 | 30 | E | 0 | 44 | 30 | E | ||
Pondicherry | Asia | India | 11 | 55 | 41 | N | 79 | 51 | 30 | E | 5 | 19 | 26 | E | ||
Ponoi | Europe | Lapland | 67 | 4 | 30 | N | 41 | 7 | 45 | E | 2 | 44 | 31 | E | ||
Pontoise | Europe | France | 49 | 3 | 2 | N | 2 | 5 | 37 | E | 0 | 8 | 22 | E |
[page] 187
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Pool | Europe | England | 50 | 42 | 50 | N | 1 | 58 | 55 | W | 0 | 7 | 56 | W | ||
Poolytopu | Asia | India | 8 | 8 | 0 | N | 77 | 15 | 45 | E | 5 | 9 | 3 | E | ||
Popayan | Amer. | New Granada | 2 | 27 | 30 | N | 76 | 16 | 15 | W | 5 | 5 | 5 | W | ||
Port au Prince | Amer. | Hispaniola | 18 | 33 | 42 | N | 72 | 27 | 33 | W | 4 | 49 | 50 | W | ||
Portland (Pornt) | Europe | England | 50 | 31 | 0 | N | 2 | 29 | 0 | W | 0 | 9 | 56 | W | ||
Portland (Isle) | Europe | North sea | 63 | 22 | 0 | N | 18 | 54 | 0 | W | 1 | 15 | 36 | W | ||
Portland (Isle) | Asia | Pacific Ocean | 36 | 24 | 40 | S | 177 | 51 | 45 | E | 11 | 51 | 27 | E | ||
Porto | Europe | Italy | 41 | 46 | 44 | N | 12 | 14 | 10 | W | 0 | 48 | 57 | W | ||
Porto Bello | Amer. | Mexico | 9 | 33 | 30 | N | 79 | 44 | 15 | W | 5 | 18 | 57 | W | ||
Porto Novo | Asia | India | 11 | 30 | 0 | N | 79 | 45 | 30 | E | 5 | 19 | 2 | E | ||
Porto Praya | Africa | St. Jago | 14 | 53 | 30 | N | 23 | 30 | 17 | W | 1 | 34 | 1 | W | 11 | 0 |
Porto Rica N.E.P. | Amer. | West Indies | 18 | 29 | 0 | N | 65 | 51 | 25 | W | 4 | 23 | 26 | W | ||
Porto Rica N.W.P. | Amer. | West Indies | 18 | 31 | 30 | N | 67 | 18 | 0 | W | 4 | 29 | 12 | W | ||
Porto Sancto (Isle) | Africa | Atlantic Ocean | 33 | 5 | 35 | N | 16 | 14 | 51 | W | 1 | 4 | 59 | W | ||
Port Paix | Amer. | Hispaniola | 19 | 56 | 30 | N | 72 | 58 | 0 | W | 4 | 51 | 52 | W | ||
Port Praslin | Asia | New Britain | 4 | 49 | 27 | S | 153 | 6 | 30 | E | 10 | 12 | 26 | E | ||
Port Royal | Amer. | Jamaica | 18 | 0 | 0 | N | 76 | 44 | 45 | W | 5 | 6 | 59 | W | ||
Port Royal | Amer. | Martinico | 14 | 35 | 55 | N | 61 | 9 | 0 | W | 4 | 4 | 36 | W | ||
Portsmouth Town | Europe | England | 50 | 47 | 27 | N | 1 | 5 | 57 | W | 0 | 4 | 24 | W | ||
Portm. Academy | Europe | England | 50 | 48 | 2 | N | 1 | 6 | 18 | W | 0 | 4 | 25 | W | ||
Portsmouth | Amer. | New England | 43 | 4 | 15 | N | 70 | 43 | 15 | W | 4 | 42 | 53 | W | ||
Posen | Europe | Poland | 50 | 26 | 0 | N | 15 | 0 | 15 | E | 1 | 0 | 1 | E | ||
Prague | Europe | Bohemia | 50 | 53 | 4 | N | 14 | 25 | 15 | E | 0 | 57 | 41 | E | ||
Praters N.E.Point. | Asia | Chinese Sea | 20 | 57 | 30 | N | 116 | 57 | 30 | E | 7 | 47 | 50 | E | ||
Praters S.W.P. | Asia | Chinese Sea | 20 | 42 | 0 | N | 116 | 40 | 0 | E | 7 | 46 | 40 | E | ||
Praule | Europe | England | 50 | 14 | 0 | N | 3 | 49 | 15 | W | 0 | 15 | 17 | W | ||
Preparis (Isle) | Asia | Bay of Bengal | 14 | 48 | 0 | N | 93 | 34 | 0 | E | 6 | 14 | 16 | E | ||
Presburg | Europe | Hungary | 48 | 8 | 7 | N | 17 | 10 | 30 | E | 1 | 8 | 42 | E | ||
Prince's Island | Asia | Str. of Sunda | 6 | 35 | 10 | S | 105 | 14 | 20 | E | 7 | 0 | 57 | E | ||
Prince's Island | Africa | Atlantic Ocean | 1 | 37 | 0 | N | 7 | 40 | 0 | E | 0 | 30 | 40 | E | ||
P. of Wales's Fort | Amer. | New Wales | 58 | 47 | 32 | N | 94 | 13 | 55 | W | 6 | 16 | 56 | W | 7 | 20 |
P. of Wales's (Cape) | Amer. | Beering's Str. | 65 | 45 | 30 | N | 168 | 17 | 30 | W | 11 | 13 | 10 | W | ||
P.W. Henry's Isle | Amer. | Pacific Ocean | 19 | 0 | 0 | N | 141 | 22 | 0 | W | 9 | 25 | 28 | W | ||
Providence | Amer. | New England | 41 | 50 | 41 | N | 71 | 22 | 0 | W | 4 | 45 | 28 | W | ||
Pudyona | Asia | New Caledonia | 20 | 18 | 0 | S | 164 | 41 | 14 | E | 10 | 58 | 45 | E | 6 | 30 |
Pylestaart's Island | Asia | Pacific Ocean | 22 | 23 | 30 | N | 175 | 49 | 30 | W | 11 | 43 | 18 | W | ||
Q | ||||||||||||||||
Quebec | Amer. | Canada | 46 | 48 | 38 | N | 71 | 5 | 29 | W | 4 | 44 | 22 | W | 7 | 30 |
Quibo (Isle) | Amer. | Pacific Ocean | 7 | 27 | 0 | N | 82 | 10 | 0 | W | 5 | 28 | 40 | W | 3 | 30 |
Quilloan | Asia | India | 8 | 52 | 30 | N | 76 | 37 | 30 | E | 5 | 6 | 30 | E | ||
Quimper | Europe | France | 47 | 58 | 29 | N | 4 | 6 | 0 | W | 0 | 16 | 24 | W | ||
St. Quinton | Europe | France | 49 | 50 | 51 | N | 3 | 17 | 23 | E | 0 | 13 | 10 | E | ||
Quiros (Cape) | Asia | New Hebrides | 14 | 56 | 8 | S | 167 | 20 | 0 | E | 11 | 9 | 20 | E | ||
Quito | Amer. | Peru | 0 | 13 | 27 | S | 78 | 10 | 15 | W | 5 | 12 | 41 | W | ||
R | ||||||||||||||||
Race (Cape) | Amer. | Newfoundland | 46 | 40 | 0 | N | 53 | 3 | 30 | W | 3 | 32 | 14 | W | ||
Rakah (Ancient) | Asia | Mesopotamia | 36 | 1 | 0 | N | 38 | 50 | 0 | E | 2 | 35 | 20 | E | ||
Ramhead | Europe | England | 50 | 18 | 24 | N | 4 | 17 | 30 | W | 0 | 17 | 10 | E | ||
Ramsgate | Europe | England | 51 | 19 | 31 | N | 1 | 24 | 41 | E | 0 | 5 | 39 | E | ||
Ranai (Isle) | Amer. | Sandwich Isles | 20 | 46 | 30 | N | 156 | 55 | 30 | W | 10 | 27 | 42 | W | ||
Randers | Europe | Denmark | 56 | 27 | 48 | N | 10 | 3 | 27 | E | 0 | 40 | 14 | E | ||
Ratisbon | Europe | Germany | 49 | 0 | 0 | N | 12 | 6 | 25 | E | 0 | 48 | 26 | E | ||
Ravenna | Europe | Italy | 44 | 25 | 5 | N | 12 | 10 | 36 | E | 0 | 48 | 42 | E | ||
Recanati | Europe | Italy | 43 | 25 | 44 | N | 13 | 31 | 8 | E | 0 | 54 | 5 | E | ||
Recif | Amer. | Brasil | 8 | 10 | 0 | N | 35 | 35 | 0 | W | 2 | 22 | 20 | W | ||
Reculver | Europe | England | 51 | 22 | 47 | N | 1 | 11 | 50 | E | 0 | 4 | 47 | E | ||
Red-Buoy | Europe | M. of the Elbe | 53 | 39 | 0 | N |
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[page] 188
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Refuge (Port) | Asia | Bligh's Islands | 18 | 38 | 30 | S | 173 | 56 | 0 | W | 11 | 31 | 44 | W | ||
Reikianess (Cape) | Europe | Iceland | 63 | 55 | 0 | N | 22 | 47 | 30 | W | 1 | 31 | 10 | W | ||
Rennes | Europe | France | 48 | 6 | 50 | N | 1 | 41 | 30 | W | 0 | 6 | 46 | W | ||
Resolution Bay | Amer. | Marquesas | 9 | 55 | 30 | S | 139 | 8 | 40 | W | 9 | 16 | 35 | W | 2 | 30 |
Resolution (Isle) | Amer. | Hudson's Str. | 61 | 29 | 0 | N | 65 | 16 | 0 | W | 4 | 21 | 4 | W | ||
Resolution (Isle) | Amer. | Pacific Ocean | 17 | 23 | 30 | S | 141 | 45 | 0 | W | 9 | 27 | 0 | W | ||
Resolution (Port) | Asia | Tanna | 19 | 32 | 25 | S | 169 | 41 | 5 | E | 11 | 18 | 44 | E | ||
Revel | Europe | Livonia | 59 | 26 | 22 | N | 24 | 39 | 15 | E | 1 | 38 | 37 | E | ||
Rhe (Lights) | Europe | France | 46 | 14 | 49 | N | 1 | 33 | 40 | W | 0 | 6 | 15 | W | 3 | 0 |
Rheims | Europe | France | 49 | 15 | 16 | N | 4 | 1 | 48 | E | 0 | 16 | 7 | E | ||
Rhodez | Europe | France | 44 | 21 | 0 | N | 2 | 34 | 17 | E | 0 | 10 | 17 | E | ||
Riche (Point) | Amer. | Newfoundland | 50 | 40 | 10 | N | 57 | 23 | 0 | W | 3 | 49 | 32 | W | ||
Richmond (Obser.) | Europe | England | 51 | 28 | 8 | N | 0 | 18 | 42 | W | 0 | 1 | 15 | W | ||
Rieux | Europe | France | 43 | 15 | 23 | N | 1 | 12 | 0 | E | 0 | 4 | 48 | E | ||
Riez | Europe | France | 43 | 48 | 57 | N | 6 | 5 | 6 | E | 0 | 24 | 20 | E | ||
Riga | Europe | Livonia | 56 | 56 | 24 | N | 24 | 0 | 15 | E | 1 | 36 | 1 | E | ||
Rimini | Europe | Italy | 44 | 3 | 43 | N | 12 | 32 | 36 | E | 0 | 50 | 10 | E | ||
Ringsted | Europe | Denmark | 55 | 26 | 51 | N | 11 | 47 | 55 | E | 0 | 47 | 12 | E | ||
Ringwood | Europe | England | 50 | 50 | 58 | N | 1 | 47 | 16 | W | 0 | 7 | 9 | W | ||
Rio Janeiro | Amer. | Brasil | 22 | 54 | 10 | N | 43 | 10 | 45 | W | 2 | 52 | 43 | W | 2 | 5 |
Ripa-Transone | Europe | Italy | 43 | 0 | 24 | N | 13 | 44 | 30 | E | 0 | 54 | 58 | E | ||
Rochelle | Europe | France | 46 | 9 | 33 | N | 1 | 9 | 2 | W | 0 | 4 | 36 | W | 3 | 45 |
Rochfort | Europe | France | 45 | 56 | 10 | N | 0 | 57 | 49 | W | 0 | 3 | 51 | W | 4 | 15 |
Rodosto | Europe | Turkey | 40 | 58 | 24 | N | 27 | 25 | 16 | E | 1 | 49 | 41 | E | ||
Rodrigues (Isle) | Africa | Indian Ocean | 19 | 40 | 40 | S | 63 | 9 | 15 | E | 4 | 12 | 37 | E | ||
Roeskilde | Europe | Denmark | 55 | 38 | 25 | N | 12 | 5 | 27 | E | 0 | 48 | 22 | E | ||
Romaine Key | Amer. | Bahama Chan | 22 | 1 | 30 | N | 77 | 39 | 45 | W | 5 | 10 | 39 | W | ||
Rome (St. Peter's) | Europe | Italy | 41 | 53 | 54 | N | 12 | 27 | 41 | E | 0 | 49 | 51 | E | ||
Romney (New) | Europe | England | 50 | 59 | 7 | N | 0 | 56 | 22 | E | 0 | 3 | 45 | E | ||
Romney (Old) | Europe | England | 50 | 59 | 25 | N | 0 | 53 | 50 | E | 0 | 3 | 35 | E | ||
Ronde (Pulo) | Asia | Str.of Malacca | 95 | 13 | 0 | E | 6 | 20 | 52 | E | ||||||
Rot (Abbey) | Europe | Bavaria | 47 | 59 | 11 | N | 12 | 3 | 30 | E | 0 | 48 | 14 | E | ||
Rotterdam | Europe | Holland | 51 | 56 | 0 | N | 4 | 29 | 0 | E | 0 | 17 | 56 | E | 3 | 0 |
Rotterdam (Isle) | Asia | Friendly Isles | 20 | 15 | 22 | S | 174 | 44 | 48 | E | 11 | 38 | 59 | E | 6 | 0 |
Rouen | Europe | France | 49 | 26 | 27 | N | 1 | 5 | 30 | E | 0 | 4 | 22 | E | 1 | 15 |
Round Island | Amer. | Beering's Str. | 58 | 56 | 30 | N | 159 | 53 | 30 | W | 10 | 39 | 34 | W | ||
Roxant (Cape) | Europe | Portugal | 38 | 45 | 26 | N | 9 | 35 | 50 | W | 0 | 38 | 23 | W | ||
Royan | Europe | France | 45 | 37 | 28 | N | 1 | 1 | 32 | W | 0 | 4 | 6 | W | ||
Ruttunpour | Asia | Berar | 22 | 16 | 0 | N | 82 | 36 | 0 | E | 5 | 30 | 24 | E | ||
Rypen | Europe | Denmark | 55 | 19 | 57 | N | 8 | 47 | 5 | E | 0 | 35 | 8 | E | ||
S | ||||||||||||||||
Saba (Isle) | Amer. | Carib. Sea | 17 | 39 | 30 | N | 63 | 17 | 15 | W | 4 | 13 | 9 | W | ||
Sable (Cape) | Amer. | Nova Scotia | 43 | 23 | 43 | N | 65 | 39 | 15 | W | 4 | 22 | 37 | W | ||
Sacrisice (Rocks) | Asia | Malabar Coast | 11 | 28 | 0 | N | 75 | 31 | 5 | E | 5 | 2 | 4 | E | ||
Saddle-back (Isles) | Amer. | Hudson's Str. | 62 | 7 | 0 | N | 68 | 13 | 0 | W | 4 | 32 | 52 | W | ||
Saeby | Europe | Denmark | 57 | 20 | 2 | N | 10 | 32 | 54 | E | 0 | 42 | 12 | E | ||
Sagan | Europe | Silesia | 51 | 42 | 12 | N | 15 | 22 | 15 | E | 1 | 1 | 29 | E | ||
Saintes | Europe | France | 45 | 44 | 46 | N | 0 | 37 | 45 | W | 0 | 2 | 31 | W | ||
Do. (Rocks) W. end | Europe | Bay of Biscay | 48 | 5 | 5 | N | 5 | 5 | 0 | W | 0 | 20 | 20 | W | ||
Sainte-Croix | Europe | France | 48 | 0 | 35 | N | 7 | 23 | 55 | E | 0 | 29 | 36 | E | ||
Salatan (Point) | Asia | Borneo | 4 | 13 | 45 | S | 114 | 29 | 0 | E | 7 | 37 | 56 | E | ||
Salee (New) | Africa | Morocco | 34 | 5 | 0 | N | 6 | 43 | 30 | W | 0 | 26 | 54 | W | ||
Salisbury | Europe | England | 51 | 3 | 49 | N | 1 | 47 | 0 | W | 0 | 7 | 8 | W | ||
Salisbury (Isle) | Amer. | Hudson's Bay | 63 | 29 | 0 | N | 76 | 47 | 0 | W | 5 | 7 | 8 | W | ||
Sall (Isle) | Africa | Atlantic Ocean | 16 | 38 | 15 | N | 22 | 56 | 15 | W | 1 | 31 | 45 | W | ||
Salonica | Europe | Turkey | 40 | 41 | 10 | N | 23 | 8 | 0 | E | 1 | 32 | 32 | E | ||
Salvages (Isles) | Africa | Atlantic Ocean | 30 | 3 | 27 | N | 16 | 6 | 30 | W | 1 | 4 | 26 | W | ||
Samana (Cape) | Amer. | Hispaniola | 19 | 15 | 40 | N | 69 | 16 | 30 | W | 4 | 37 | 6 | W | ||
Samara | Europe | Russia | 48 | 39 | 35 | N | 35 | 20 | 0 | E | 2 | 21 | 20 | E |
[page] 189
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitude. | Longitude | H. W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Sambelong (Great) | Asia | Bengal Bay | 7 | 10 | 0 | N | 93 | 40 | 0 | E | 6 | 14 | 40 | E | ||
Samganooda | Amer. | Oonalaska | 53 | 54 | 29 | N | 166 | 22 | 15 | W | 11 | 5 | 29 | W | ||
Sancta Cruz | Africa | Teneriffe | 28 | 29 | 4 | N | 16 | 22 | 30 | W | 1 | 5 | 30 | W | ||
Sancta Cruz | Africa | Grand Canary | 28 | 10 | 37 | N | 15 | 47 | 0 | W | 1 | 3 | 8 | W | ||
Sandown Castle | Europe | England | 51 | 14 | 18 | N | 1 | 23 | 59 | E | 0 | 5 | 36 | E | ||
Sandsoe | Europe | Lapland | 68 | 56 | 15 | N | 16 | 57 | 0 | E | 1 | 7 | 48 | E | ||
Sandwich | Europe | England | 51 | 16 | 30 | N | 1 | 20 | 15 | E | 0 | 5 | 21 | E | ||
Sandwich Bay | Amer. | South Georgia | 54 | 42 | 0 | S | 36 | 12 | 0 | W | 2 | 24 | 48 | W | ||
Sandwich (Cape) | Asia | New Holland | 18 | 17 | 11 | S | 146 | 1 | 13 | E | 9 | 44 | 5 | E | ||
Sandwich (Cape) | Asia | Mallicola | 16 | 28 | 0 | S | 167 | 59 | 0 | E | 11 | 11 | 56 | E | ||
Sandwich Harbour | Asia | Mallicola | 16 | 25 | 20 | S | 167 | 53 | 0 | E | 11 | 11 | 32 | E | ||
Sandwich Isle | Asia | New Hebrides | 17 | 41 | 0 | S | 168 | 33 | 0 | E | 11 | 14 | 12 | E | ||
Sandy Bay | Amer. | Nova Scotia | 43 | 31 | 9 | S | 65 | 39 | 15 | W | 4 | 22 | 37 | W | ||
Sandy Cape | Asia | New Holland | 24 | 45 | 48 | S | 153 | 12 | 22 | E | 10 | 12 | 49 | E | ||
Sandy-Hook Lights | Amer. | New Jersey | 44 | 26 | 30 | N | 74 | 6 | 42 | W | 4 | 56 | 27 | W | ||
Sapata (Pulo) | Asia | Chinese Sea | 10 | 2 | 40 | N | 109 | 12 | 51 | E | 7 | 16 | 51 | E | ||
Saratow | Europe | Russia | 51 | 31 | 28 | N | 46 | 0 | 0 | E | 3 | 4 | 0 | E | ||
Sarlat | Europe | France | 44 | 53 | 20 | N | 1 | 12 | 49 | E | 0 | 4 | 51 | E | ||
Sarum (Old) | Europe | England | 51 | 5 | 45 | N | 1 | 47 | 28 | W | 0 | 7 | 10 | W | ||
Saunder's (Cape) | Asia | New Zeeland | 45 | 57 | 45 | S | 170 | 16 | 0 | E | 11 | 21 | 4 | E | ||
Saunder's (Cape) | Amer. | South Georgia | 54 | 6 | 30 | S | 36 | 57 | 30 | W | 2 | 27 | 50 | W | ||
Saunder's Isle | Amer. | Sandwich Land | 58 | 0 | 0 | S | 26 | 58 | 0 | W | 1 | 47 | 52 | W | ||
Savage Isle | Asia | Pacific Ocean | 19 | 2 | 15 | S | 169 | 30 | 30 | W | 11 | 18 | 2 | W | ||
Savanna (Lights) | Amer. | Georgia | 32 | 0 | 45 | N | 80 | 56 | 0 | W | 5 | 23 | 44 | W | ||
Schwezingen | Europe | Germany | 49 | 23 | 4 | N | 8 | 26 | 15 | E | 0 | 33 | 45 | E | ||
Scilly Lights | Europe | St. Geo. Chan | 49 | 53 | 47 | N | 6 | 29 | 30 | W | 0 | 25 | 58 | W | ||
Scolt Head | Europe | England | 52 | 59 | 40 | N | 0 | 44 | 11 | E | 0 | 2 | 57 | W | 6 | 20 |
Sebastian (Cape St.) | Africa | Madagascar | 12 | 30 | 0 | S | 46 | 25 | 0 | E | 3 | 5 | 40 | E | ||
Sedan | Europe | France | 49 | 42 | 29 | N | 4 | 57 | 36 | E | 0 | 19 | 50 | E | ||
Seez | Europe | France | 48 | 36 | 23 | N | 0 | 10 | 44 | E | 0 | 0 | 43 | E | ||
Selinginsk | Asia | Siberia | 51 | 6 | 6 | N | 106 | 40 | 45 | E | 7 | 6 | 43 | E | ||
Selsea | Europe | England | 50 | 43 | 50 | N | 0 | 47 | 54 | W | 0 | 3 | 12 | W | ||
Senegal | Africa | Negroland | 15 | 53 | 0 | N | 16 | 31 | 30 | W | 1 | 6 | 6 | W | 10 | 30 |
Senez | Europe | France | 43 | 54 | 40 | N | 6 | 24 | 5 | E | 0 | 25 | 36 | E | ||
Senlis | Europe | France | 49 | 12 | 28 | N | 2 | 35 | 0 | E | 0 | 10 | 20 | E | ||
Senones | Europe | France | 48 | 23 | 7 | N | 6 | 57 | 30 | E | 0 | 27 | 50 | E | ||
Sens | Europe | France | 48 | 11 | 56 | N | 3 | 17 | 21 | E | 0 | 13 | 9 | E | ||
Serdze Kamen | Asia | Beering's Str. | 67 | 3 | 0 | N | 171 | 54 | 30 | W | 11 | 27 | 38 | W | ||
Seringapatam | Asia | Mysore | 12 | 31 | 45 | N | 76 | 46 | 45 | E | 5 | 7 | 7 | E | ||
Seven Islands | Asia | Chinese Sea | 1 | 5 | 16 | S | 105 | 24 | 4 | E | 7 | 1 | 36 | E | ||
Severndroog | Asia | India | 17 | 47 | 30 | N | 73 | 9 | 0 | E | 4 | 52 | 36 | E | ||
Sevastopolis | Europe | Crimea | 44 | 41 | 30 | N | 33 | 35 | 0 | E | 2 | 14 | 20 | E | ||
Seychelles (Isle) | Asia | Almirantes | 4 | 35 | 0 | S | 55 | 35 | 0 | E | 3 | 42 | 20 | E | 5 | 30 |
Shepherd's Isles | Asia | New Hebrides | 16 | 58 | 0 | S | 168 | 42 | 0 | E | 11 | 14 | 28 | E | ||
Shirburn Castle | Europe | England | 51 | 39 | 22 | N | 0 | 58 | 15 | W | 0 | 3 | 53 | W | ||
Shoalness | Amer. | Beering's Str. | 59 | 37 | 0 | N | 162 | 18 | 30 | W | 10 | 49 | 14 | W | ||
Shoreham | Europe | England | 50 | 50 | 7 | N | 0 | 16 | 19 | W | 0 | 1 | 5 | W | 9 | 30 |
Siam | Asia | India | 14 | 18 | 0 | N | 100 | 50 | 0 | E | 6 | 43 | 20 | E | ||
Siao Isle | Asia | Chinese Sea | 2 | 49 | 0 | N | 125 | 3 | 45 | E | 8 | 20 | 15 | E | ||
Sidney Cove | Asia | Port Jackson | 33 | 51 | 7 | S | 151 | 13 | 30 | E | 10 | 4 | 54 | E | ||
Sienna | Europe | Italy | 43 | 22 | 0 | N | 11 | 10 | 0 | E | 0 | 44 | 40 | E | ||
Sierra Leone (Cape) | Africa | Sierra Leone | 8 | 29 | 30 | N | 13 | 9 | 17 | W | 0 | 52 | 37 | W | ||
Sifran | Europe | Russia | 53 | 9 | 53 | N | 48 | 24 | 45 | E | 3 | 13 | 39 | E | ||
Si-nghan-fu | Asia | China | 34 | 16 | 30 | N | 108 | 43 | 45 | E | 7 | 14 | 55 | E | ||
Sinigaglia | Europe | Italy | 43 | 43 | 16 | N | 13 | 11 | 30 | E | 0 | 52 | 46 | E | ||
Sisteron | Europe | France | 44 | 11 | 51 | N | 5 | 56 | 18 | E | 0 | 23 | 45 | E | ||
Skagen (Lights) | Europe | Denmark | 57 | 43 | 44 | N | 10 | 37 | 45 | E | 0 | 42 | 31 | E | ||
Skirmish Bay | Asia | Chatham Isl. | 43 | 49 | 3 | S | 176 | 35 | 0 | E | 11 | 46 | 20 | E | ||
Sledge Island | Amer. | Beering's Str. | 64 | 30 | 0 | N | 166 | 8 | 0 | E | 11 | 4 | 32 | E | ||
Sluys | Europe | Holland | 51 | 18 | 35 | N | 3 | 22 | 54 | E | 0 | 13 | 32 | E | ||
Smeinogorsk | Asia | Siberia | 51 | 9 | 27 | N | 82 | 8 | 0 | E | 5 | 28 | 32 | E |
[page] 190
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Smokey Cape | Asia | New Holland | 30 | 54 | 18 | S | 153 | 1 | 40 | E | 10 | 12 | 7 | E | ||
Smyrna | Asia | Natolia | 38 | 28 | 7 | N | 27 | 6 | 33 | E | 1 | 48 | 26 | E | ||
Snœfell (Mount) | Europe | Iceland | 64 | 52 | 20 | N | 23 | 54 | 0 | W | 1 | 35 | 36 | W | ||
Socono (Isle) | Amer. | Pacific Ocean | 18 | 48 | 0 | N | 110 | 10 | 0 | W | 7 | 20 | 40 | W | ||
Soissons | Europe | France | 49 | 22 | 52 | N | 3 | 19 | 16 | E | 0 | 13 | 17 | E | ||
Sombavera (Isles) | Amer. | Carib. Sea | 18 | 38 | 0 | N | 63 | 37 | 30 | W | 4 | 14 | 30 | W | ||
Sonderburg | Europe | Denmark | 54 | 54 | 59 | N | 9 | 48 | 10 | E | 0 | 39 | 13 | E | ||
Soolo | Asia | Philippines | 5 | 57 | 0 | N | 121 | 15 | 30 | E | 8 | 5 | 2 | E | ||
Southampton | Europe | England | 50 | 54 | 0 | N | 1 | 23 | 56 | W | 0 | 5 | 36 | W | ||
South Cape | Asia | New Zeeland | 47 | 16 | 50 | S | 167 | 20 | 9 | E | 11 | 9 | 21 | E | ||
South Cape | Asia | New Holland | 43 | 42 | 30 | S | 146 | 58 | 0 | E | 9 | 47 | 52 | E | ||
South Island | Asia | Chinese Sea | 24 | 22 | 30 | N | 141 | 24 | 0 | E | 9 | 25 | 36 | E | ||
Southern Thule | Amer. | Sandwich Land | 59 | 34 | 0 | S | 27 | 45 | 0 | W | 1 | 51 | 0 | W | ||
Spartel (Cape) | Africa | Morocco | 35 | 46 | 0 | N | 5 | 57 | 12 | W | 0 | 23 | 49 | W | ||
Speaker Bank | Asia | Indian Ocean | 4 | 45 | 0 | S | 72 | 57 | 0 | E | 4 | 51 | 48 | E | ||
Spichell (Cape) | Europe | Portugal | 38 | 22 | 15 | N | 9 | 20 | 12 | W | 0 | 37 | 21 | W | ||
Spring-Grove | Europe | England | 51 | 28 | 34 | N | 10 | 20 | 21 | W | 0 | 1 | 21 | W | ||
Sproe (Isle) | Europe | Great Belt | 55 | 19 | 56 | N | 10 | 56 | 45 | E | 0 | 43 | 47 | E | ||
Stade | Europe | Germany | 53 | 36 | 5 | N | 9 | 23 | 15 | E | 0 | 37 | 33 | E | ||
Stalbridge | Europe | England | 50 | 57 | 0 | N | 2 | 23 | 30 | W | 0 | 9 | 34 | W | ||
Start point | Europe | England | 50 | 14 | 20 | N | 3 | 44 | 30 | W | 0 | 14 | 58 | W | ||
Stephen's (Cape) | Asia | New Zeeland | 40 | 36 | 50 | S | 173 | 58 | 30 | E | 11 | 35 | 54 | E | ||
Stephen's (Cape) | Asia | Beering's Str. | 63 | 33 | 30 | N | 162 | 17 | 0 | W | 10 | 49 | 8 | W | ||
Stephen's (Isle) | Asia | Cook's Straits | 40 | 35 | 26 | S | 174 | 0 | 22 | E | 11 | 36 | 1 | E | ||
Stephen's (Port) | Asia | New Holland | 32 | 45 | 0 | S | 152 | 12 | 0 | E | 10 | 8 | 48 | E | ||
Stickhusen | Europe | Germany | 53 | 13 | 33 | N | 7 | 40 | 6 | E | 0 | 30 | 40 | E | ||
Stockholm | Europe | Sweden | 59 | 20 | 31 | N | 18 | 3 | 51 | E | 1 | 12 | 15 | E | ||
Strabane | Europe | Ireland | 54 | 49 | 29 | N | 7 | 23 | 5 | W | 0 | 29 | 32 | W | ||
Strasburg | Europe | France | 48 | 34 | 56 | N | 7 | 44 | 36 | E | 0 | 30 | 58 | E | ||
Straumness | Europe | Iceland | 65 | 39 | 40 | N | 24 | 29 | 15 | W | 1 | 37 | 57 | W | ||
Streatham | Europe | England | 51 | 25 | 46 | N | 0 | 7 | 47 | W | 0 | 0 | 31 | W | ||
Stomness | Europe | Orkneys | 58 | 56 | 22 | N | 3 | 31 | 15 | W | 0 | 14 | 5 | W | 9 | 0 |
Success Bay | Amer. | TerradelFuego | 54 | 49 | 45 | S | 65 | 25 | 0 | W | 4 | 21 | 40 | W | ||
Success (Cape) | Amer. | TerradelFuego | 55 | 1 | 0 | S | 65 | 27 | 0 | W | 4 | 21 | 48 | W | ||
Suez | Africa | Egypt | 30 | 2 | 0 | N | 32 | 28 | 30 | E | 2 | 9 | 54 | E | ||
Sulpher Island | Asia | Pacific Ocean | 24 | 48 | 0 | N | 141 | 20 | 0 | E | 9 | 25 | 20 | E | ||
Surat | Asia | India | 21 | 11 | 0 | N | 73 | 2 | 34 | E | 4 | 52 | 10 | E | ||
Swilly Island | Asia | Hew Holland | 43 | 55 | 30 | S | 147 | 7 | 30 | E | 9 | 48 | 30 | E | ||
Swinfield | Europe | England | 51 | 8 | 48 | N | 1 | 11 | 15 | E | 0 | 4 | 45 | E | ||
T | ||||||||||||||||
Table Cape | Asia | New Zeeland | 39 | 6 | 40 | S | 178 | 2 | 20 | E | 11 | 52 | 9 | E | ||
Table Island | Asia | New Hebrides | 15 | 38 | 0 | S | 167 | 7 | 0 | E | 11 | 8 | 28 | E | ||
Tackararee Point | Africa | Gold Coast | 4 | 46 | 53 | N | 2 | 27 | 44 | W | 0 | 9 | 51 | W | ||
Taganrok | Asia | Tartary | 47 | 12 | 40 | N | 38 | 38 | 45 | E | 2 | 34 | 35 | E | ||
Tahoora | Amer. | Sandwich Isles | 21 | 42 | 30 | N | 160 | 24 | 30 | W | 10 | 41 | 38 | W | ||
Tahowrooa | Amer. | Sandwich Isles | 20 | 38 | 0 | N | 156 | 36 | 30 | W | 10 | 26 | 26 | W | ||
Tambou | Europe | Russia | 52 | 43 | 44 | N | 41 | 45 | 0 | E | 2 | 47 | 0 | E | ||
Tanjore | Asia | India | 10 | 46 | 30 | N | 79 | 48 | 26 | E | 5 | 19 | 14 | E | ||
Tanna | Asia | New Hebrides | 19 | 32 | 25 | S | 169 | 41 | 5 | E | 11 | 18 | 44 | E | 3 | 0 |
Taoukaa Isle | Amer. | Pacific Ocean | 14 | 30 | 30 | S | 145 | 9 | 30 | W | 9 | 40 | 38 | W | ||
Tarapia | Europe | Turkey | 41 | 8 | 24 | N | 29 | 0 | 28 | E | 1 | 56 | 2 | E | ||
Tarascon | Europe | France | 43 | 48 | 20 | N | 4 | 39 | 36 | E | 0 | 18 | 38 | E | ||
Tarbes | Europe | France | 43 | 13 | 52 | N | 0 | 3 | 59 | E | 0 | 0 | 16 | E | ||
Tasman's Head | Asia | New Holland | 43 | 33 | 30 | S | 147 | 30 | 30 | E | 9 | 50 | 2 | E | ||
Tassa (Isle) | Europe | Sea of Marmara | 40 | 46 | 40 | N | 24 | 38 | 54 | E | 1 | 38 | 36 | E | ||
Tassacorta | Africa | Palma Isle | 28 | 38 | 0 | N | 17 | 58 | 0 | W | 1 | 11 | 52 | W | ||
Taya (Pulo) | Asia | Chinese Sea | 0 | 44 | 30 | S | 106 | 3 | 15 | E | 7 | 4 | 13 | E | ||
Tellicherry | Asia | Malabar Coast | 11 | 45 | 20 | N | 75 | 29 | 3 | E | 5 | 1 | 56 | E | ||
Temontengis | Asia | Soloo | 5 | 57 | 0 | N | 120 | 53 | 30 | E | 8 | 3 | 54 | E |
[page] 191
TABLE XXIX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Teneriffe (Peake) | Africa | Canaries | 28 | 15 | 38 | N | 16 | 45 | 33 | W | 1 | 7 | 2 | W | ||
Tenterden | Europe | England | 51 | 4 | 8 | N | 0 | 41 | 8 | E | 0 | 2 | 45 | E | ||
Tercera | Europe | Azores | 38 | 39 | 7 | N | 27 | 12 | 42 | W | 1 | 48 | 51 | W | ||
Terracina | Europe | Italy | 41 | 18 | 14 | N | 13 | 13 | 7 | E | 0 | 52 | 52 | E | ||
St. Thadæus-Noss | Asia | Kamtschatka | 62 | 50 | 0 | N | 179 | 5 | 0 | E | 11 | 56 | 20 | E | ||
Thalpeny Isle | Asia | Laccadives N.P. | 10 | 10 | 30 | N | 73 | 49 | 30 | E | 4 | 55 | 18 | E | ||
Thalpeny Isle | Asia | Laccadives S.P. | 10 | 4 | 0 | N | 73 | 48 | 0 | E | 4 | 55 | 12 | E | ||
Thionville | Europe | France | 49 | 21 | 30 | N | 6 | 10 | 30 | E | 0 | 24 | 42 | E | ||
St. Thomas's Isle | Amer. | Virgine Isles | 18 | 21 | 35 | N | 64 | 51 | 30 | W | 4 | 19 | 26 | W | ||
St. Thomas's Isle | Africa | Atlantic Ocean | 0 | 19 | 0 | N | 6 | 42 | 30 | E | 0 | 26 | 50 | E | ||
Thorley Hall | Europe | England | 51 | 50 | 45 | N | 0 | 9 | 0 | E | 0 | 0 | 36 | E | ||
Three Hill Island | Asia | New Hebrides | 17 | 4 | 0 | S | 168 | 35 | 0 | E | 11 | 14 | 20 | E | ||
Three King's Isle | Asia | New Zeeland | 34 | 10 | 15 | S | 172 | 25 | 8 | E | 11 | 29 | 41 | E | ||
Three Points (Cape) | Africa | Gold Coast | 4 | 40 | 30 | N | 2 | 43 | 32 | W | 0 | 10 | 54 | W | ||
Thrumb Cap | Amer. | Pacific Ocean | 18 | 36 | 41 | S | 139 | 13 | 45 | W | 9 | 16 | 55 | W | ||
Thule (Southern) | Amer. | Sandwich Land | 59 | 34 | 0 | S | 27 | 45 | 0 | W | 1 | 51 | 0 | W | ||
Thury | Europe | France | 49 | 21 | 28 | N | 2 | 18 | 30 | E | 0 | 9 | 14 | E | ||
Tiburon (Cape) | Amer. | Hispaniola | 18 | 19 | 25 | N | 74 | 34 | 12 | W | 4 | 58 | 17 | W | ||
Timoan (Pulo) | Asia | Guls of Siam | 2 | 53 | 30 | N | 104 | 24 | 37 | E | 6 | 57 | 38 | E | ||
Timor (S. W. Point) | Asia | India | 10 | 6 | 52 | S | 124 | 4 | 36 | E | 8 | 16 | 18 | E | ||
Timor-Land | Asia | India | 8 | 3 | 0 | S | 132 | 17 | 0 | E | 8 | 49 | 8 | E | ||
Tinian (Isle) | Asia | Pacific Ocean | 15 | 0 | 0 | N | 145 | 55 | 30 | E | 9 | 43 | 42 | E | ||
Tobolski | Asia | Siberia | 58 | 12 | 18 | N | 68 | 18 | 30 | E | 4 | 33 | 14 | E | ||
Tolaga Bay | Asia | New Zeeland | 38 | 22 | 0 | S | 178 | 35 | 54 | E | 11 | 54 | 24 | E | ||
Toledo | Europe | Spain | 39 | 50 | 0 | N | 3 | 20 | 0 | W | 0 | 13 | 20 | W | ||
Tomsk | Asia | Siberia | 56 | 29 | 58 | N | 84 | 58 | 30 | E | 5 | 39 | 54 | E | ||
Tondern | Europe | Denmark | 54 | 56 | 19 | N | 8 | 53 | 17 | E | 0 | 35 | 33 | E | ||
Tonga-Tabu (Isle) | Asia | Pacific Ocean | 21 | 8 | 36 | S | 175 | 1 | 50 | E | 11 | 40 | 7 | E | 6 | 50 |
Tongres | Europe | Netherlands | 50 | 47 | 7 | N | 5 | 27 | 23 | E | 0 | 21 | 50 | E | ||
Tonnerre | Europe | Frane | 47 | 51 | 8 | N | 3 | 58 | 44 | E | 0 | 15 | 55 | E | ||
Toobouai (Isle) | Amer. | Pacific Ocean | 23 | 25 | 0 | S | 149 | 20 | 30 | W | 9 | 57 | 22 | W | ||
Tornea | Europe | Sweden | 65 | 50 | 50 | N | 24 | 14 | 0 | E | 1 | 36 | 56 | E | ||
Tortudas | Amer. | West E. P. | 20 | 0 | 55 | N | 72 | 42 | 35 | W | 4 | 50 | 50 | W | ||
Tortudas | Amer. | Indies W. P. | 20 | 5 | 20 | N | 73 | 1 | 26 | W | 4 | 52 | 6 | W | ||
Toul | Europe | France | 48 | 40 | 32 | N | 5 | 53 | 18 | E | 0 | 23 | 33 | E | ||
Toulon | Europe | France | 43 | 7 | 16 | N | 5 | 55 | 26 | E | 0 | 23 | 42 | E | ||
Toulouse | Europe | France | 43 | 35 | 46 | N | 1 | 26 | 45 | E | 0 | 5 | 47 | E | ||
Tournai | Europe | Netherlands | 50 | 36 | 57 | N | 3 | 33 | 17 | E | 0 | 13 | 33 | E | ||
Tours | Europe | France | 47 | 23 | 46 | N | 0 | 41 | 32 | E | 0 | 2 | 46 | E | ||
Trafalgar | Europe | Spain | 36 | 7 | 56 | N | 6 | 3 | 0 | W | 0 | 24 | 45 | W | ||
Traitor's Head | Asia | Erramanga | 18 | 43 | 30 | S | 169 | 20 | 30 | E | 11 | 17 | 22 | E | ||
Tranquebar | Asia | India | 10 | 56 | 0 | N | 79 | 40 | 30 | E | 5 | 18 | 42 | E | ||
Treguier | Europe | France | 48 | 46 | 54 | N | 3 | 13 | 49 | W | 0 | 12 | 55 | W | ||
Treves | Europe | Germany | 49 | 46 | 37 | N | 6 | 38 | 5 | E | 0 | 26 | 32 | E | ||
Trinidada | Amer. | Cuba | 21 | 47 | 45 | N | 80 | 19 | 36 | W | 5 | 21 | 18 | W | ||
Trinidada (Isle) | Amer. | Atlantic Ocean | 20 | 30 | 30 | S | 29 | 33 | 0 | W | 1 | 58 | 12 | W | ||
Trinity Island | Amer. | Pacific Ocean | 56 | 35 | 0 | N | 154 | 53 | 0 | W | 10 | 19 | 32 | W | ||
Trinkamaly | Asia | Ceylon | 8 | 32 | 0 | N | 81 | 12 | 0 | E | 5 | 24 | 48 | E | ||
Tripoli | Africa | Barbary | 32 | 53 | 40 | N | 13 | 21 | 7 | E | 0 | 53 | 24 | E | ||
Tritchinopoly | Asia | India | 10 | 49 | 0 | N | 78 | 38 | 26 | E | 5 | 14 | 34 | E | ||
Tropez (St.) | Europe | France | 43 | 16 | 8 | N | 6 | 38 | 29 | E | 0 | 26 | 34 | E | ||
Troyes | Europe | France | 48 | 18 | 5 | N | 4 | 4 | 34 | E | 0 | 16 | 18 | E | ||
Tscherkaski | Europe | Russia | 47 | 13 | 40 | N | 39 | 45 | 0 | E | 2 | 39 | 0 | E | ||
Tschukotskoi | Asia | Beering's Str. | 64 | 14 | 30 | N | 173 | 31 | 0 | W | 11 | 34 | 4 | W | ||
Tubingen | Europe | Germany | 48 | 31 | 4 | N | 9 | 2 | 29 | E | 0 | 36 | 10 | E | ||
Tulles | Europe | France | 45 | 16 | 3 | N | 1 | 46 | 2 | E | 0 | 7 | 4 | E | ||
Turin | Europe | Italy | 45 | 4 | 14 | N | 7 | 40 | 0 | E | 0 | 30 | 40 | E | ||
Turnagain (Cape) | Asia | New Zeeland | 40 | 32 | 30 | S | 176 | 49 | 0 | E | 11 | 47 | 16 | E | ||
Turk's Isles | Amer. | Windw. Passage | 21 | 11 | 0 | N | 71 | 15 | 22 | E | 4 | 45 | 1 | W | ||
Turtle Island | Asia | Pacific Ocean | 19 | 48 | 45 | S | 177 | 57 | 0 | W | 11 | 51 | 48 | W | ||
Two Groups | Amer. | Pacific Ocean | 18 | 12 | 36 | S | 142 | 11 | 45 | W | 9 | 28 | 47 | W |
[page] 192
TABLE XXIX. The Latitudes and Longitudes of Places. | |||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitude. | Longitude | H. W. | ||||||||||||
In Degrees. | In Time. | ||||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | |||||||
Typa | Asia | China | 22 | 9 | 20 | N | 113 | 43 | 45 | E | 7 | 34 | 55 | E | |||
Tyrnaw | Europe | Hungary | 48 | 23 | 30 | N | 17 | 34 | 36 | E | 1 | 10 | 18 | E | |||
U | |||||||||||||||||
Ubes (St.) | Europe | Portugal | 38 | 22 | 15 | N | 8 | 54 | 22 | W | 0 | 35 | 37 | W | |||
Ufa | Europe | Russia | 54 | 42 | 45 | N | 55 | 53 | 30 | E | 3 | 43 | 34 | E | |||
Uliateah | Amer. | Pacific Ocean | 16 | 45 | 0 | S | 151 | 31 | 0 | W | 10 | 6 | 4 | W | |||
Ulm | Europe | Germany | 48 | 23 | 45 | N | 9 | 58 | 51 | E | 0 | 39 | 55 | E | |||
Umba | Europe | Lapland | 66 | 39 | 48 | N | 34 | 14 | 45 | E | 2 | 16 | 59 | E | |||
Unst | Europe | Shetland | 60 | 44 | 0 | N | 0 | 46 | 0 | W | 0 | 3 | 4 | W | |||
Upsal | Europe | Sweden | 59 | 51 | 50 | N | 17 | 38 | 9 | E | 1 | 10 | 33 | E | |||
Uralsk | Asia | Tartary | 51 | 11 | 0 | N | 51 | 35 | 15 | E | 3 | 36 | 24 | E | |||
Uraniberg | Europe | Denmark | 55 | 54 | 17 | N | 12 | 53 | 0 | E | 0 | 50 | 51 | E | |||
Urbine | Europe | Italy | 43 | 43 | 36 | N | 12 | 36 | 50 | E | 0 | 50 | 27 | E | |||
Ushant Lights | Europe | France | 48 | 28 | 8 | N | 5 | 3 | 21 | W | 0 | 20 | 13 | W | |||
Usolic (Novo) | Europe | Russia | 59 | 23 | 54 | N | 56 | 32 | 15 | E | 3 | 46 | 9 | E | |||
Ust-Kamenogorsk | Asia | Siberia | 49 | 56 | 49 | N | 82 | 38 | 30 | E | 5 | 30 | 34 | E | |||
Utretch | Europe | Netherlands | 52 | 5 | 0 | N | 5 | 9 | 45 | E | 0 | 20 | 39 | E | |||
Uzes | Europe | France | 44 | 0 | 45 | N | 4 | 25 | 2 | E | 0 | 17 | 40 | E | |||
V | |||||||||||||||||
Vabres | Europe | France | 43 | 56 | 27 | N | 2 | 50 | 16 | E | 0 | 11 | 21 | E | |||
Vaison | Europe | France | 44 | 14 | 28 | N | 5 | 3 | 54 | E | 0 | 20 | 16 | E | |||
Valence | Europe | France | 44 | 55 | 59 | N | 4 | 53 | 10 | E | 0 | 19 | 33 | E | |||
Valenciennes | Europe | France | 50 | 21 | 27 | N | 3 | 31 | 40 | E | 0 | 14 | 7 | E | |||
Valery (St.) fur Som | Europe | France | 50 | 11 | 21 | N | 1 | 37 | 36 | E | 0 | 6 | 30 | E | 10 | 0 | |
Valery (St.) en Caup | Europe | France | 49 | 52 | 12 | N | 0 | 41 | 10 | E | 0 | 2 | 45 | E | 9 | 45 | |
Valparaifo | Amer. | Chili | 33 | 1 | 29 | S | 72 | 19 | 15 | W | 4 | 49 | 17 | W | |||
Van Dieman's Road | Asia | Tonga-Tabu | 21 | 4 | 15 | S | 175 | 6 | 0 | W | 11 | 40 | 24 | W | 7 | 15 | |
Vannes | Europe | France | 47 | 39 | 26 | N | 2 | 45 | 19 | W | 0 | 11 | 1 | W | 3 | 45 | |
Vauxe's Tomb | Asia | India | 21 | 4 | 30 | N | 72 | 48 | 44 | E | 4 | 51 | 15 | E | |||
Vence | Europe | France | 43 | 43 | 13 | N | 7 | 6 | 29 | E | 0 | 28 | 26 | E | |||
Venice | Europe | Italy | 45 | 27 | 4 | N | 12 | 3 | 15 | E | 0 | 48 | 13 | E | |||
Venus (Point) | Amer. | Otaheite | 17 | 29 | 15 | S | 149 | 30 | 22 | W | 9 | 58 | 1 | W | 10 | 38 | |
Vera Cruz | Amer. | Mexico | 19 | 9 | 36 | N | 95 | 3 | 0 | W | 6 | 20 | 12 | W | |||
Verd (Cape) | Africa | Negroland | 14 | 47 | 13 | N | 17 | 33 | 16 | W | 1 | 10 | 13 | W | |||
Verdun | Europe | France | 49 | 9 | 24 | N | 5 | 22 | 41 | E | 0 | 21 | 31 | E | |||
Verona | Europe | Italy | 45 | 26 | 26 | N | 11 | 1 | 0 | E | 0 | 44 | 4 | E | |||
Versailles | Europe | France | 48 | 48 | 21 | N | 2 | 7 | 7 | E | 0 | 8 | 28 | E | |||
Victoria (Fort) | Asia | Malabar Coast | 17 | 56 | 40 | N | 73 | 7 | 54 | E | 4 | 52 | 32 | E | |||
Vienna (Observ.) | Europe | Germany | 48 | 12 | 36 | N | 16 | 21 | 54 | E | 1 | 5 | 28 | E | |||
Vigo | Europe | Spain | 42 | 13 | 20 | N | 8 | 27 | 45 | W | 0 | 33 | 51 | W | |||
Villa Franca | Europe | Italy | 43 | 40 | 20 | N | 7 | 19 | 15 | E | 0 | 20 | 17 | E | |||
St. Vincent's (Cape) | Europe | Portugal | 37 | 1 | 0 | N | 9 | 2 | 22 | W | 0 | 36 | 9 | W | |||
St. Vincent's (Isle) | Amer. | Carib. Sea | 13 | 10 | 15 | N | 61 | 30 | 51 | W | 4 | 6 | 3 | W | |||
Vingorla Rocks | Asia | Malabar Coast | 15 | 55 | 30 | N | 73 | 30 | 0 | E | 4 | 54 | 0 | E | |||
Vintimiglia | Europe | Italy | 43 | 53 | 20 | N | 7 | 37 | 30 | E | 0 | 30 | 30 | E | |||
Virgin-Gorda (Fort) | Amer. | West Indies | 18 | 18 | 0 | N | 64 | 18 | 40 | W | 4 | 17 | 15 | W | |||
Virgin (Cape) | Amer. | Patagonia | 52 | 23 | 0 | S | 67 | 54 | 0 | W | 4 | 31 | 36 | W | 10 | 0 | |
Visagapatam | Asia | India | 17 | 42 | 0 | N | 83 | 23 | 52 | E | 5 | 33 | 35 | E | |||
Viviers | Europe | France | 44 | 28 | 57 | N | 4 | 40 | 45 | E | 0 | 18 | 43 | E | |||
W | |||||||||||||||||
Wakefield | Europe | England | 53 | 41 | 0 | N | 1 | 35 | 0 | W | 0 | 6 | 20 | W | |||
Wales (P. of) Cape | Amer. | Beering's Str. | 65 | 45 | 30 | N | 168 | 17 | 30 | W | 11 | 13 | 10 | W | |||
Wales (P. of) Fort | Amer. | New Wales | 58 | 47 | 32 | N | 94 | 13 | 48 | W | 6 | 16 | 55 | W | 7 | 20 | |
Wales (P. of) Isles | Amer. | Pacific Ocean | 14 | 58 | 0 | S | 147 | 48 | 0 | W | 9 | 51 | 12 | W |
[page] 193
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||||||||
Names of Places. | Cont. | Coast, Sea, or Country. | Latitudes. | Longitude | H.W. | |||||||||||
In Degrees. | In Time. | |||||||||||||||
° | ′ | ″ | ° | ′ | ″ | h | m | s | h | m | ||||||
Wallis's Isle | Asia | Pacific Ocean | 13 | 17 | 0 | S | 176 | 45 | 0 | W | 11 | 47 | 0 | W | ||
Walvisch Bay | Africa | Caffraria | 22 | 54 | 51 | S | 14 | 40 | 0 | E | 0 | 58 | 40 | E | ||
Wanstead | Europe | England | 51 | 34 | 20 | N | 0 | 2 | 30 | E | 0 | 0 | 10 | E | ||
Warasden | Europe | Hungary | 46 | 18 | 18 | N | 16 | 25 | 51 | E | 1 | 5 | 43 | E | ||
Wardhus | Europe | Lapland | 70 | 22 | 36 | N | 31 | 6 | 0 | E | 2 | 4 | 24 | E | ||
Warfaw | Europe | Poland | 52 | 14 | 28 | N | 21 | 1 | 5 | E | 1 | 24 | 4 | E | ||
Warwick (Cape) | Amer. | Hudson's Str | 61 | 29 | 0 | N | 65 | 16 | 0 | W | 4 | 21 | 4 | W | ||
Wateeoo | Amer. | Pacific Ocean | 20 | 1 | 30 | S | 158 | 14 | 30 | W | 10 | 32 | 58 | W | ||
Watling's Isle (W.P.) | Amer. | Bahamas | 23 | 56 | 0 | N | 74 | 42 | 32 | W | 4 | 58 | 50 | W | ||
West Cape | Asia | New Zealand | 45 | 56 | 15 | S | 166 | 6 | 15 | E | 11 | 4 | 25 | E | ||
Westman (Isles) | Europe | Northu Ocean | 63 | 20 | 30 | N | 20 | 27 | 45 | E | 1 | 21 | 51 | E | ||
Whitsunday Cape | Amer. | Cook's River | 58 | 15 | 0 | N | 152 | 36 | 0 | W | 10 | 10 | 24 | W | ||
Whitsun Island | Amer. | Pacific Ocean | 19 | 26 | 0 | S | 138 | 12 | 0 | W | 9 | 12 | 48 | W | ||
Whitsuntide Isle | Asia | Pacific Ocean | 15 | 44 | 20 | S | 168 | 20 | 15 | E | 11 | 13 | 21 | E | ||
Whytootachee | Amer. | Pacific Ocean | 18 | 51 | 40 | S | 159 | 39 | 45 | W | 10 | 38 | 39 | W | ||
Wiborg | Europe | N. Jutland | 57 | 27 | 11 | N | 9 | 26 | 15 | E | 0 | 37 | 45 | W | ||
Wicklow | Europe | Ireland | 52 | 59 | 0 | N | 6 | 1 | 0 | W | 0 | 24 | 4 | W | 7 | 30 |
Wildeshausen | Europe | Germany | 52 | 54 | 26 | N | 8 | 27 | 39 | E | 0 | 33 | 51 | E | ||
William (Fort) | Asia | Bengal | 22 | 34 | 0 | N | 88 | 27 | 56 | E | 5 | 53 | 52 | E | ||
Willis's Isle | Amer. | St. Georgia | 54 | 0 | 0 | S | 38 | 29 | 40 | W | 2 | 33 | 59 | W | ||
Wilna | Europe | Poland | 54 | 41 | 0 | N | 25 | 14 | 51 | E | 1 | 40 | 59 | W | ||
Winchelsea | Europe | England | 50 | 55 | 28 | N | 0 | 42 | 31 | E | 0 | 2 | 50 | E | ||
Windsor | Europe | England | 51 | 29 | s | N | 0 | 35 | 28 | W | 0 | 2 | 22 | W | ||
Wittemburg | Europe | Germany | 51 | 53 | 0 | N | 12 | 42 | 45 | E | 0 | 50 | 51 | E | ||
Woahoo (Isle) | Amer. | Sandwich Isles | 21 | 40 | 30 | N | 158 | 1 | 30 | W | 10 | 32 | 6 | W | ||
Wologda | Europe | Russia | 59 | 13 | 33 | N | 40 | 10 | 0 | E | 2 | 40 | 40 | E | ||
Wolstenholme Cape | Amer. | Hudson's Str | 62 | 39 | 0 | N | 77 | 48 | 0 | W | 5 | 11 | 12 | W | ||
Woody Point | Amer. | Pacific Ocean | 50 | 0 | 30 | N | 127 | 57 | 0 | W | 8 | 31 | 44 | W | ||
Worcester | Europe | England | 52 | 9 | 30 | N | 2 | 0 | 15 | W | 0 | 8 | 1 | W | ||
Woronesch | Europe | Russia | 51 | 40 | 30 | N | 39 | 20 | 45 | E | 2 | 37 | 23 | E | ||
Woslak | Europe | Russia | 61 | 15 | 0 | N | ||||||||||
Wrotham | Europe | England | 51 | 18 | 54 | N | 0 | 19 | 12 | E | 0 | 1 | 17 | E | ||
Wurtzburg | Europe | Germany | 49 | 46 | 6 | N | 9 | 54 | 45 | E | 0 | 39 | 39 | E | ||
X | ||||||||||||||||
Xamhay | Asia | China | 31 | 16 | 0 | N | 121 | 31 | 45 | E | 8 | 6 | 7 | E | ||
Y | ||||||||||||||||
Yeu (Isled') | Europe | France | 46 | 42 | 26 | N | 2 | 19 | 50 | W | 0 | 9 | 19 | W | ||
Ylo | Amer. | Peru | 17 | 36 | 15 | S | 71 | 13 | 0 | W | 4 | 44 | 52 | W | ||
York | Europe | England | 53 | 57 | 45 | N | 1 | 6 | 4 | W | 0 | 4 | 24 | W | ||
York Cape | Asia | New Holland | 10 | 38 | 20 | S | 142 | 12 | 20 | E | 9 | 28 | 19 | E | ||
York Fort | Amer. | New Wales | 57 | 1 | 48 | N | 92 | 17 | 11 | W | 6 | 9 | 9 | W | 9 | 10 |
York (Duke of) Isle | Asia | Pacific Ocean | 8 | 29 | 0 | S | 172 | 22 | 0 | W | 11 | 29 | 28 | W | ||
York Minster | Amer. | Terra del Fugo | 55 | 26 | 20 | S | 70 | 8 | 0 | W | 4 | 40 | 32 | W | ||
York (New) | Amer. | Jerfey | 40 | 43 | 0 | N | 74 | 9 | 0 | W | 4 | 56 | 36 | W | 9 | 0 |
Young (Cape) | Asia | Chathamisland | 43 | 48 | 0 | N | 176 | 58 | 0 | W | 11 | 47 | 52 | W | ||
Ypres | Europe | Netherlands | 50 | 51 | 10 | N | 2 | 52 | 49 | E | 0 | 11 | 31 | E | ||
Z | ||||||||||||||||
Zachu (Rocks) | Amer. | Porto Rico | 18 | 24 | 0 | N | 67 | 45 | 30 | W | 4 | 31 | 2 | W | ||
Zaricin | Europe | Russia | 48 | 42 | 20 | N | 44 | 27 | 30 | E | 2 | 57 | 50 | E | ||
Znaym | Europe | Germany | 48 | 51 | 15 | N | 16 | 1 | 42 | E | 1 | 4 | 7 | E |
B b
[page 194]
[page] 195
TABLE XXX. | ||||||||||
The Latitudes and Longitudes of Remarkable Places on the Sea Coast of England and Inland; taken from the Grand Trigonometrical Survey, published in the philosophical Transaction. | ||||||||||
N.B. The Asterisk (*) denotes a station. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
A | ||||||||||
Abinodon Spire | 51 | 40 | 3.8 | N | 1 | 16 | 37,2 | W | 5 | 6,5 |
Adderbury Spire | 52 | 0 | 51,6 | 1 | 17 | 39,7 | W | 5 | 10,6 | |
St. Agnes Beacon | 50 | 18 | 27,0 | 5 | 11 | 55,7 | W | 20 | 47,7 | |
St. Agnes Light House | 49 | 53 | 36,8 | 6 | 19 | 23,4 | W | 25 | 29,2 | |
Alfred's Tower | 51 | 6 | 54,4 | 2 | 21 | 21,5 | W | 9 | 25,4 | |
Allen, (St.) Steeple | 50 | 18 | 56,8 | 5 | 2 | 32,1 | W | 20 | 10,1 | |
Allington Knoll * | 51 | 4 | 46,0 | 0 | 57 | 13,0 | E | 3 | 48,9 | |
Allington, or Aldington Steeple | 51 | 5 | 16,0 | 0 | 57 | 36,0 | E | 3 | 50,4 | |
Amesbury Church | 51 | 10 | 18,9 | 1 | 46 | 36,8 | W | 7 | 6,5 | |
Ampthill Steeple | 52 | 1 | 57,8 | 0 | 29 | 11,7 | W | 1 | 56,6 | |
Angmering Church | 50 | 49 | 40,3 | 0 | 28 | 55,2 | W | 1 | 55,7 | |
St. Ann's Hill * | 51 | 23 | 51,4 | 0 | 31 | 16,6 | W | 2 | 5,1 | |
Anthony's Head (St.) Flagstaff | 50 | 8 | 34,2 | 4 | 59 | 31,0 | W | 19 | 58,1 | |
Appledore Steeple | 51 | 1 | 47,0 | 0 | 47 | 22,0 | E | 3 | 9,5 | |
Arbury Hill * | 52 | 13 | 26,6 | 1 | 12 | 20,4 | W | 4 | 49,3 | |
Ash Beacon * | 51 | 0 | 33,5 | 2 | 30 | 56,0 | W | 10 | 3,7 | |
Ash Steeple | 51 | 16 | 44,0 | 1 | 16 | 34,0 | E | 5 | 6,3 | |
Ashey Down Sea Mark | 50 | 41 | 6,8 | 1 | 10 | 57,8 | W | 4 | 43,8 | |
Ashford Steeple | 51 | 8 | 56,0 | 0 | 52 | 18,0 | E | 3 | 29,2 | |
Aston (Cold) | 51 | 26 | 53,9 | 2 | 20 | 44,4 | W | 9 | 22,9 | |
Aylesbury Spire | 51 | 49 | 18,9 | 0 | 50 | 18,0 | W | 3 | 21,2 | |
Aynoe Steeple | 51 | 59 | 35,2 | 1 | 14 | 46,2 | W | 4 | 59,1 | |
B | ||||||||||
Bagshot Heath * | 51 | 22 | 7,1 | 0 | 43 | 15,4 | W | 2 | 53,0 | |
Bampton Steeple | 51 | 44 | 11,2 | 1 | 32 | 27,9 | W | 6 | 9,8 | |
Banstead * | 51 | 19 | 2,0 | 0 | 12 | 44,1 | W | 0 | 50,9 | |
Banstead Steeple | 51 | 19 | 19,0 | 0 | 11 | 55,0 | W | 0 | 47,7 | |
Bardon Hill Gazebo | 52 | 42 | 47,6 | 1 | 18 | 48,2 | W | 5 | 15,2 | |
Barham Windmill | 51 | 12 | 54,0 | 1 | 10 | 5,0 | E | 4 | 40,3 | |
Barrow Swyre Head | 50 | 36 | 32,4 | 2 | 5 | 10,8 | W | 8 | 20,7 | |
Batten Mount | 50 | 21 | 24,3 | 4 | 7 | 49,1 | W | 16 | 31,2 | |
Battersea Steeple | 51 | 28 | 36,0 | 0 | 10 | 24,0 | W | 0 | 41,6 | |
Beachy Head * | 50 | 44 | 23,7 | 0 | 15 | 11,9 | E | 1 | 0,7 | |
Beacon-Hill * | 51 | 11 | 4,4 | 1 | 42 | 54,9 | W | 6 | 51,7 | |
Beaufovt (Duke of) House, Stoke | 51 | 29 | 34,5 | 2 | 32 | 12,2 | W | 10 | 8,8 | |
Beckley Steeple | 50 | 59 | 1,0 | 0 | 37 | 24,0 | E | 2 | 29,6 | |
Bedingham Windmill | 50 | 50 | 8,3 | 0 | 3 | 50,1 | E | 0 | 15,3 | |
Beechborough Summer House | 51 | 5 | 53,0 | 1 | 5 | 30,0 | E | 4 | 22,0 | |
Belvidere House | 50 | 44 | 36,9 | 1 | 42 | 3,3 | W | 6 | 48,2 | |
Benenden Steeple | 51 | 3 | 54,0 | 0 | 34 | 44,0 | E | 2 | 18,9 | |
Berry Head Flaggsteff, Torbay | 50 | 24 | 0,7 | 3 | 28 | 14,4 | W | 13 | 52,9 | |
Bersted Church | 50 | 47 | 39,4 | 0 | 40 | 17,8 | W | 2 | 41,2 | |
Bestbeech Windmill | 51 | 3 | 34,8 | 0 | 18 | 30,7 | E | 1 | 14,0 | |
Bethersden Steeple | 51 | 7 | 45,0 | 0 | 45 | 10,0 | E | 3 | 0,7 | |
Bevan (Mr.) House | 51 | 59 | 19,9 | 0 | 36 | 49,5 | W | 2 | 27,3 | |
Bexhill Church | 50 | 50 | 46,7 | 0 | 28 | 43,3 | E | 1 | 54,9 | |
Bicester Steeple | 51 | 53 | 46,8 | 1 | 9 | 47,1 | W | 4 | 39,1 | |
Bidenden Steeple | 51 | 6 | 55,0 | 0 | 38 | 23,0 | E | 2 | 33,5 | |
Billinghurst Churuch | 51 | 1 | 20,6 | 0 | 26 | 52,1 | W | 1 | 47,5 | |
Bindown * | 50 | 23 | 32,9 | 4 | 24 | 41,0 | W | 17 | 38,7 | |
Birchington Steeple | 51 | 22 | 25,0 | 1 | 18 | 13,0 | E | 5 | 12,9 | |
Blackdown * | 50 | 41 | 13,8 | 2 | 32 | 22,4 | W | 10 | 9,5 | |
Blackdown, Devon | 50 | 36 | 40,9 | 4 | 6 | 8,0 | W | 16 | 24,5 | |
Blackhead Flagstaff | 50 | 1 | 12,1 | 5 | 3 | 59,3 | W | 20 | 15,9 |
B b 2
[page] 196
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Blackheath Windmill, near Heathrield | 50 | 57 | 50,9 | N | 0 | 19 | 0,0 | E | 1 | 16,0 |
Blaze Castle, near Bristol | 51 | 30 | 10,4 | 2 | 37 | 41,7 | W | 10 | 30,8 | |
Blean Steeple | 51 | 18 | 19,0 | 1 | 3 | 4,0 | E | 4 | 12,3 | |
Blenheim Observatory | 51 | 50 | 24,9 | 1 | 21 | 5,5 | W | 5 | 24,4 | |
Bloxham Spire | 52 | 1 | 5,6 | 1 | 22 | 5,7 | W | 5 | 28,4 | |
Boat House | 50 | 37 | 37,9 | 1 | 22 | 40,9 | W | 5 | 30,7 | |
Boconnock Steeple | 50 | 25 | 15,3 | 4 | 33 | 31,2 | W | 18 | 14,1 | |
Bodmin Down * | 50 | 29 | 11,6 | 4 | 40 | 39,8 | W | 18 | 42,6 | |
Bolhey Church | 50 | 59 | 23,9 | 0 | 12 | 5,0 | W | 0 | 48,3 | |
Bolt-Head Flagstaff | 50 | 13 | 15,2 | 3 | 48 | 3,1 | W | 15 | 12,2 | |
Bosham Church | 50 | 49 | 45,0 | 0 | 51 | 19,1 | W | 3 | 25,3 | |
Botley Hill * | 51 | 16 | 41,5 | 0 | 0 | 3,0 | E | 0 | 0,2 | |
Bovey (North) Steeple | 50 | 36 | 18,7 | 3 | 41 | 38,2 | W | 14 | 46,5 | |
Boughton Malherb Steeple | 51 | 12 | 51,0 | 0 | 41 | 34,0 | E | 2 | 46,5 | |
Bourton Chapel | 51 | 59 | 22,5 | 1 | 44 | 56.7 | W | 6 | 59,8 | |
Bow Brickhill * | 51 | 59 | 50,5 | 0 | 40 | 1,2 | W | 2 | 40,8 | |
Bow Brickhill Steeple | 52 | 0 | 1,1 | 0 | 40 | 13,4 | W | 2 | 40,9 | |
Bowhill * | 50 | 53 | 40,4 | 0 | 49 | 32,7 | W | 3 | 18,2 | |
Boyton Steeple | 50 | 42 | 14,9 | 4 | 21 | 53,6 | W | 17 | 27,6 | |
Boxgrove Church | 50 | 51 | 36,7 | 0 | 42 | 25,9 | W | 2 | 49,7 | |
St. Braeg's Down Stone | 50 | 28 | 47,6 | 4 | 50 | 54,0 | W | 19 | 23,6 | |
Bramber Windmill | 50 | 52 | 55,7 | 0 | 17 | 18,9 | W | 1 | 9,3 | |
Branksea Island Castle | 50 | 41 | 19,5 | 1 | 57 | 1,5 | W | 7 | 48,2 | |
Brasses Windmill | 50 | 57 | 55,0 | 0 | 32 | 5,0 | E | 2 | 8,3 | |
Breadon-Hill Building | 52 | 3 | 16,7 | 2 | 1 | 35,7 | W | 8 | 6,4 | |
Brede Steeple | 50 | 56 | 7,0 | 0 | 35 | 45,0 | E | 2 | 23,0 | |
Brent Beacon, near Ashburton | 50 | 26 | 28,6 | 3 | 48 | 49,4 | W | 15 | 15,3 | |
Brent Tor. near Lydford | 50 | 36 | 13,4 | 4 | 9 | 21,4 | W | 16 | 37,4 | |
Brenzet Steeple | 50 | 0 | 51,0 | 0 | 51 | 21,0 | E | 3 | 25,4 | |
Bridge Windmill | 51 | 14 | 35,0 | 1 | 7 | 55,0 | E | 4 | 31,7 | |
Bridgewater Spire | 51 | 7 | 40,7 | 2 | 59 | 38,7 | W | 11 | 58,6 | |
Bridport Beacon | 50 | 41 | 13,2 | 2 | 50 | 59,9 | W | 11 | 24,0 | |
Brighthelmstone Church | 50 | 49 | 32,2 | 0 | 11 | 55,2 | W | 0 | 47,7 | |
Brightling * | 50 | 57 | 43,3 | 0 | 22 | 39,3 | E | 1 | 30,6 | |
Brightling Windmill | 50 | 57 | 44,0 | 0 | 22 | 41,0 | E | 1 | 30,7 | |
Brighton Starting-House | 50 | 49 | 48,1 | 0 | 6 | 28,5 | W | 0 | 25,9 | |
Brill * | 50 | 49 | 56,6 | 1 | 3 | 56,6 | W | 4 | 15,7 | |
Bristol Cathedral | 51 | 27 | 6,3 | 2 | 35 | 28,6 | W | 10 | 21,9 | |
Brixen Steeple | 50 | 23 | 12,0 | 3 | 30 | 22,7 | W | 14 | 1,5 | |
Brixton Church | 50 | 38 | 37,6 | 1 | 23 | 25,2 | W | 5 | 33,7 | |
Broadway Beacon | 52 | 1 | 25,6 | 1 | 49 | 41,3 | W | 7 | 18,7 | |
Bromley Church | 51 | 24 | 18,0 | 0 | 0 | 52,0 | E | 0 | 3,5 | |
Brown Willy * | 50 | 35 | 27,9 | 4 | 35 | 10,4 | W | 18 | 10,6 | |
Brook Steeple | 51 | 9 | 38,0 | 0 | 57 | 8,0 | E | 3 | 48,5 | |
Brookland Steeple | 50 | 59 | 51,5 | 0 | 49 | 58,0 | E | 3 | 19,9 | |
Buckingham (Marquis of) House, near Brill | 51 | 50 | 23,5 | 1 | 0 | 5,8 | W | 4 | 0,4 | |
Buckland Steeple | 51 | 40 | 53,3 | 1 | 29 | 57,1 | W | 5 | 59,8 | |
Bull Barrow * | 50 | 50 | 59,5 | 2 | 18 | 29,2 | W | 9 | 14,0 | |
Bursledon Windmill | 50 | 53 | 42,3 | 1 | 18 | 34,3 | W | 5 | 14,3 | |
Burton-Pynsent Obelisk | 51 | 1 | 21,6 | 2 | 52 | 45,1 | W | 11 | 31,0 | |
Burian (St.) * | 50 | 4 | 37,9 | 5 | 36 | 4,9 | W | 22 | 24,3 | |
Bute (Lord) House | 50 | 44 | 14,5 | 1 | 42 | 9,7 | W | 6 | 48,6 | |
Butser Hill * | 50 | 58 | 40,8 | 0 | 58 | 32,2 | W | 3 | 54,23 | |
Butterton | 50 | 24 | 46,3 | 3 | 52 | 47,5 | W | 15 | 31,2? | |
C | ||||||||||
Cackham Tower | 50 | 46 | 22,4 | 0 | 53 | 2,3 | W | 3 | 32,2 | |
Caden Barrow * | 50 | 39 | 12,1 | 4 | 41 | 9,2 | W | 15 | 44,6 | |
Callington Steeple | 50 | 30 | 14,9 | 4 | 18 | 1,9 | W | 17 | 12,2 | |
Calshot Castle | 50 | 48 | 12,7 | 1 | 18 | 5,6 | W | 5 | 12,4 | |
Camborn Steeple | 50 | 12 | 51,0 | 5 | 17 | 0,4 | W | 21 | 8,0 | |
Camelford (Lord) Obelisk | 50 | 25 | 11,1 | 4 | 34 | 51,7 | W | 18 | 19,4 | |
Canterbury Cathedral | 51 | 16 | 48,0 | 1 | 4 | 51,0 | E | 4 | 19,4 |
[page] 197
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time. | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Carraton Hill * | 50 | 30 | 41,6 | N | 4 | 25 | 17,0 | W | 17 | 41,1 |
Carisbrook Castle | 50 | 41 | 17,5 | 1 | 18 | 25,9 | W | 5 | 13,7 | |
Catharine's (St.) Light-House | 50 | 35 | 33,1 | 1 | 17 | 50,7 | W | 5 | 11,3 | |
Catherstone Lodge | 51 | 0 | 23,0 | 3 | 8 | 59,0 | W | 12 | 35,9 | |
Cawsand Beacon * | 50 | 42 | 31,1 | 3 | 55 | 1,8 | W | 15 | 40,1 | |
Chatgrave Steeple | 51 | 55 | 40,2 | 0 | 30 | 51,4 | W | 2 | 3,4 | |
Chancterbury Ring | 50 | 53 | 48,5 | 0 | 22 | 46,9 | W | 1 | 31,1 | |
Charing Steeple | 51 | 12 | 37,0 | 0 | 47 | 44,0 | E | 3 | 10,9 | |
Charlwood Church | 51 | 9 | 21,5 | 0 | 13 | 30,0 | W | 0 | 54,0 | |
Chart (Great) Steeple | 51 | 8 | 33,0 | 0 | 49 | 39,1 | E | 3 | 18,6 | |
Chart (Sutton) Steeple | 51 | 12 | 56,0 | 0 | 34 | 54,0 | E | 2 | 19,6 | |
Charton * | 50 | 43 | 6,1 | 2 | 58 | 52,9 | W | 11 | 35,5 | |
Chedzoy Steeple | 51 | 8 | 5,1 | 2 | 55 | 56,1 | W | 11 | 43,7 | |
Cheese Rings | 50 | 31 | 50,5 | 4 | 27 | 2,4 | W | 17 | 48,1 | |
Chichester Harbour Watch-House | 50 | 46 | 53,8 | 0 | 55 | 27,7 | W | 3 | 41,8 | |
Chichester Spire | 50 | 50 | 11,4 | 0 | 46 | 35,9 | W | 3 | 6,4 | |
Chillendon Windmill | 51 | 14 | 32,0 | 1 | 14 | 49,0 | E | 4 | 59,3 | |
Chiselhurst Steeple | 51 | 24 | 36,0 | 0 | 4 | 35,0 | E | 0 | 18,3 | |
Chislet Steeple | 51 | 20 | 4,0 | 1 | 11 | 24,0 | E | 4 | 45,6 | |
Chittingley Church | 50 | 54 | 23,2 | 0 | 11 | 47,0 | E | 0 | 47,1 | |
Christ Church Head | 50 | 43 | 57,3 | 1 | 45 | 10,5 | W | 7 | 0,7 | |
Christ Church Tower | 50 | 42 | 56,8 | 1 | 46 | 3,4 | W | 7 | 4,2 | |
Chudleigh Steeple | 50 | 36 | 14,1 | 3 | 35 | 21,6 | W | 14 | 21,4 | |
Clapham Church | 50 | 50 | 37,3 | 0 | 27 | 43,4 | W | 1 | 50,9 | |
Clapham Common (Mr. Cavendish) | 51 | 27 | 13,0 | 0 | 8 | 40,0 | W | 0 | 34,7 | |
Clark's Folly | 50 | 51 | 13,0 | 1 | 0 | 39,7 | W | 4 | 2,6 | |
Clay Hill or Copt Heap | 51 | 12 | 12,0 | 2 | 13 | 25,8 | W | 8 | 53,7 | |
Cleer (St.) Steeple | 50 | 29 | 15,0 | 4 | 27 | 20,6 | W | 17 | 49,4 | |
Clisden Windmill | 51 | 25 | 57,2 | 2 | 37 | 25,7 | W | 10 | 29,7 | |
Colmworth Spire | 52 | 12 | 49,3 | 0 | 22 | 27,0 | W | 1 | 28,5 | |
Colnmb (St.) Minor Steeple | 50 | 25 | 20,1 | 5 | 1 | 29,3 | W | 20 | 5,9 | |
Corley Hill * | 52 | 27 | 45,0 | 1 | 33 | 24,6 | W | 6 | 13,6 | |
Cow and Calf | 50 | 32 | 44,8 | 5 | 2 | 22,0 | W | 20 | 9,5 | |
Cowes (East) Sea Mark | 50 | 45 | 37,5 | 1 | 16 | 15,2 | W | 5 | 5,0 | |
Coxwell (Great) Windmill | 51 | 38 | 59,8 | 1 | 37 | 8,4 | W | 6 | 28,6 | |
Cranbrook Steeple | 51 | 5 | 50,0 | 0 | 32 | 10,0 | E | 2 | 8,7 | |
Cranfield Spire | 52 | 4 | 3,1 | 0 | 36 | 11,1 | W | 2 | 24,7 | |
Crawley (Husborne) Steeple | 52 | 0 | 57,0 | 0 | 36 | 19,8 | W | 2 | 25,3 | |
Crawley (North) Spire | 52 | 5 | 29,8 | 0 | 38 | 27,3 | W | 2 | 33,8 | |
Creech Barrow St. Alban's Head | 50 | 38 | 9,8 | 2 | 6 | 14,9 | W | 8 | 25,0 | |
Crimhill Passage Obelisk | 50 | 21 | 37,7 | 4 | 9 | 53,3 | W | 16 | 39,5 | |
Crouch Hill * | 52 | 2 | 58,7 | 1 | 21 | 11,6 | W | 5 | 24,7 | |
Crowborough Beacon * | 51 | 3 | 9,4 | 0 | 9 | 9,5 | E | 0 | 36,6 | |
Crowborough Chapel | 51 | 3 | 20,1 | 0 | 9 | 56,8 | E | 0 | 39,7 | |
Cubert Steeple | 50 | 22 | 43,0 | 5 | 5 | 50,1 | W | 20 | 23,3 | |
Cuckfield Church | 51 | 0 | 18,3 | 0 | 8 | 29,8 | W | 0 | 34,0 | |
Cumberland Fort | 50 | 47 | 20,8 | 1 | 1 | 43,0 | W | 4 | 6,9 | |
Cumner Hill, near Oxford | 51 | 44 | 1,5 | 1 | 18 | 18,4 | W | 5 | 13,2 | |
D | ||||||||||
Dallington Church | 50 | 56 | 50,4 | 0 | 21 | 31,8 | E | 1 | 26,1 | |
Deadman * | 50 | 13 | 20,0 | 4 | 47 | 4,4 | W | 19 | 8,3 | |
Deal Castle | 51 | 13 | 5,0 | 1 | 23 | 59,0 | E | 5 | 35,9 | |
Deal Upper Chapel | 51 | 13 | 2,0 | 1 | 22 | 44,0 | E | 5 | 30,9 | |
Deal Watch-House, near the Sea Shore | 51 | 10 | 21,0 | 1 | 23 | 46,0 | E | 5 | 35,1 | |
Dean Hill * | 51 | 1 | 50,9 | 1 | 38 | 46,5 | W | 6 | 35,1 | |
Deddington Steeple | 51 | 59 | 13,9 | 1 | 19 | 12,1 | W | 5 | 16,8 | |
Del Key, or Dalkey Windmill | 50 | 49 | 12,5 | 0 | 48 | 39,7 | W | 3 | 14,6 | |
Dengeness Light-House | 50 | 55 | 1,0 | 0 | 57 | 48,0 | E | 3 | 51,2 | |
Dennis (St.) Steeple | 50 | 23 | 22,1 | 4 | 52 | 1,6 | W | 19 | 28,1 | |
Devizes Steeple | 51 | 21 | 25,5 | 2 | 58 | 31,2 | W | 11 | 54,1 | |
Ditchling Beacon * | 50 | 44 | 7,0 | 0 | 6 | 20,5 | W | 0 | 25,3 |
[page] 198
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Ditchling Church | 50 | 55 | 17,8 | N | 0 | 6 | 49,5 | W | 0 | 29,3 |
Dominic (St.) Steeple | 50 | 32 | 17,8 | 4 | 15 | 48,7 | W | 17 | 3,2 | |
Dorchester Church | 50 | 42 | 57,7 | 2 | 25 | 40,1 | W | 9 | 42,7 | |
Dover Castle, N. turret of the Keep * | 51 | 7 | 47,5 | 1 | 19 | 7,0 | E | 5 | 16,5 | |
Doulting Spire | 51 | 11 | 11,4 | 2 | 29 | 53,1 | W | 9 | 59,5 | |
Doyley (sir J.) House | 50 | 46 | 33,3 | 1 | 30 | 39,4 | W | 6 | 2,6 | |
Drayton Steeple | 51 | 38 | 35,0 | 1 | 18 | 6,1 | W | 5 | 12,4 | |
Doloe Steeple | 50 | 23 | 48,0 | 4 | 28 | 9,4 | W | 17 | 52,6 | |
Dumpdon * | 50 | 49 | 47,2 | 3 | 39 | 34,5 | W | 14 | 38,3 | |
Dunchirch Windmill | 52 | 20 | 4,6 | 1 | 17 | 8,5 | W | 5 | 8,6 | |
Dundon * | 51 | 5 | 6,5 | 2 | 43 | 33,1 | W | 10 | 54,2 | |
Dundry * | 51 | 23 | 52,2 | 2 | 38 | 0,1 | W | 10 | 32,0 | |
Dundry Steeple | 51 | 23 | 47,7 | 2 | 38 | 21,2 | W | 10 | 33,4 | |
Dunnose | 50 | 37 | 7,3 | 1 | 11 | 36,0 | W | 4 | 46,4 | |
Dunstaville (Lord) House | 50 | 14 | 39,5 | 5 | 16 | 58,2 | W | 21 | 7,8 | |
Durham Steeple | 51 | 28 | 44,8 | 2 | 22 | 23,4 | W | 9 | 29,5 | |
E | ||||||||||
Eastry Steeple | 51 | 14 | 44,0 | 1 | 18 | 26,0 | E | 5 | 13,7 | |
Eastwell Steeple | 51 | 11 | 24,0 | 0 | 52 | 24,0 | E | 3 | 29,6 | |
Eddystone Light-House | 50 | 10 | 54,5 | 4 | 15 | 2,9 | W | 17 | 0,3 | |
Egerton Steeple | 51 | 11 | 44,0 | 0 | 43 | 43,0 | E | 2 | 54,9 | |
Egremont (Earl of) Tower | 51 | 0 | 1,9 | 0 | 38 | 7,3 | W | 2 | 32,5 | |
Elham Windmill | 51 | 5 | 44,0 | 1 | 14 | 1,0 | E | 4 | 56,1 | |
Eltham Spire | 51 | 27 | 4,0 | 0 | 4 | 30,0 | E | 0 | 18,0 | |
Epwell * | 52 | 4 | 19,8 | 1 | 28 | 46,8 | W | 5 | 55,1 | |
Erme (St.) Steeple | 50 | 18 | 36,3 | 5 | 0 | 30,0 | W | 20 | 2,0 | |
Eval (St.) Steeple | 50 | 29 | 3,5 | 4 | 59 | 0,8 | W | 19 | 56,0 | |
Evelyn's Obelisk, Felbridge Park | 51 | 8 | 28,9 | 0 | 2 | 40,9 | W | 8 | 10,7 | |
Everley Church | 51 | 17 | 3,3 | 1 | 42 | 5,3 | W | 6 | 48,3 | |
Euhurst Church | 51 | 9 | 11,7 | 0 | 26 | 16,6 | W | 1 | 45,1 | |
Euhurst Windmill | 51 | 10 | 21,7 | 0 | 27 | 26,9 | W | 1 | 49,9 | |
F | ||||||||||
Fairden Tower | 51 | 9 | 21,3 | 0 | 0 | 83,9 | E | 0 | 3,6 | |
Fairlight Church | 50 | 52 | 38,0 | 0 | 38 | 31,0 | E | 2 | 3? | |
Fairlight Down * | 50 | 52 | 38,8 | 0 | 37 | 7,4 | E | 2 | 2?,5 | |
Fareham Church | 50 | 51 | 19,8 | 1 | 10 | 10,7 | W | 4 | 40,7 | |
Farley Down * | 51 | 23 | 35,7 | 2 | 17 | 14,8 | W | 9 | 8,9 | |
Farley Monument | 51 | 2 | 12,8 | 1 | 24 | 30,1 | W | 5 | 38,0 | |
Farnham Castle | 51 | 13 | 6,9 | 0 | 47 | 52,0 | W | 4 | 11,5 | |
Farthingo Steeple | 51 | 59 | 45,1 | 1 | 13 | 18,4 | W | 4 | 5?,2 | |
Fawley Church | 50 | 49 | 47,7 | 1 | 20 | 44,4 | W | 5 | 22,9 | |
Felpham Windmill | 50 | 47 | 12,7 | 0 | 39 | 8,4 | W | 2 | 36,6 | |
Fetherstonhough (Sir H.) Tower | 50 | 57 | 30,3 | 0 | 52 | 43,7 | W | 3 | 30,9 | |
Findon Temple | 50 | 52 | 15,0 | 0 | 25 | 38,9 | W | 1 | 42,6 | |
Firle Beacon * | 50 | 50 | 2,7 | 0 | 6 | 33,3 | E | 0 | 2?,2 | |
Firle Beacon Church | 50 | 50 | 42,9 | 0 | 5 | 22,4 | E | 0 | 21,5 | |
Firle Beacon Windmill | 50 | 50 | 4,8 | 0 | 5 | 30,6 | E | 0 | 22,0 | |
Flitton Steeple | 52 | 0 | 42,1 | 0 | 27 | 14,4 | W | 1 | 48,9 | |
Flitwick Steeple | 51 | 59 | 58,6 | 0 | 30 | 27,1 | W | 2 | 1,8 | |
Folkstone Church | 51 | 4 | 47,0 | 1 | 10 | 52,0 | E | 4 | 43,5 | |
Folkstone Turnpike * | 51 | 5 | 45,5 | 1 | 11 | 33,0 | E | 4 | 46,2 | |
Foreland (South) Light-House | 51 | 8 | 26,0 | 1 | 22 | 6,0 | E | 5 | 28,4 | |
Forlingdon Church | 50 | 42 | 52,2 | 2 | 25 | 11,5 | W | 9 | 40,7 | |
Four Mile-Stone | 51 | 7 | 8,5 | 1 | 50 | 56,2 | W | 7 | 23,8 | |
Fowey Windmill, near | 50 | 20 | 7,2 | 4 | 37 | 31,5 | W | 18 | 30,1 | |
Frampton (Mr.) Obelisk | 50 | 41 | 46,0 | 2 | 15 | 57,9 | W | 9 | 3,8 | |
Frant Steeple * | 51 | 5 | 54,0 | 0 | 16 | 13,0 | E | 1 | 4,9 | |
Frittenden Steeple | 51 | 8 | 20,0 | 0 | 35 | 24,0 | E | 2 | 21,6 | |
Frome Steeple | 51 | 13 | 47,9 | 2 | 18 | 41,6 | W | 9 | 14,7 | |
Froward Flagstaff | 50 | 21 | 1,4 | 3 | 31 | 11,2 | W | 14 | 4,7 | |
Furland * | 50 | 22 | 7,8 | 3 | 32 | 34,3 | W | 14 | 10,3 |
[page] 199
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
G | ||||||||||
Gerran's Steeple | 50 | 10 | 44,8 | N | 4 | 57 | 48,0 | W | 19 | 51,2 |
Glastonbury Tor | 51 | 8 | 47,7 | 2 | 41 | 18,8 | W | 10 | 45,2 | |
Godstone, or Tilbuster Windmill | 51 | 13 | 30,5 | 0 | 2 | 57,9 | W | 0 | 11,9 | |
Golden Cape near Lyme | 50 | 43 | 32,5 | 2 | 49 | 59,6 | W | 11 | 20,0 | |
Goodneston Steeple | 51 | 14 | 45,0 | 1 | 13 | 36,0 | E | 4 | 54,4 | |
Goodwood House | 50 | 52 | 20,8 | 0 | 44 | 9,3 | W | 2 | 56,6 | |
Goring Church | 50 | 48 | 34,2 | 0 | 25 | 44,6 | W | 1 | 43,0 | |
Gorran Steeple | 50 | 14 | 50,8 | 4 | 47 | 25,3 | W | 19 | 9,6 | |
Goudhurst Steeple * | 51 | 6 | 49,5 | 0 | 27 | 40,0 | E | 1 | 50,7 | |
Grade Steeple | 49 | 59 | 8,8 | 5 | 10 | 28,6 | W | 20 | 41,9 | |
Granborough Steeple | 51 | 55 | 4,3 | 0 | 52 | 50,8 | W | 3 | 31,4 | |
Greenwich Observatory * | 51 | 28 | 40,0 | 0 | 0 | 0,0 | 0 | 0,0 | ||
Grinstead (East) Church | 51 | 7 | 27,9 | 0 | 0 | 16,2 | E | 0 | 1,1 | |
Grinstead (West) Church | 50 | 58 | 23,5 | 0 | 19 | 53,2 | W | 1 | 19,5 | |
Guilford (East) Steeple | 50 | 57 | 40,0 | 0 | 45 | 21,0 | E | 3 | 1,4 | |
Gunston Steeple | 51 | 9 | 18,0 | 1 | 19 | 0,0 | W | 5 | 16,0 | |
Gwinear Steeple | 50 | 10 | 34,0 | 5 | 22 | 1,7 | W | 21 | 28,1 | |
Gwinea's Rocks | 50 | 14 | 46,3 | 4 | 44 | 41,6 | W | 18 | 58,8 | |
H | ||||||||||
Hailsham Church | 50 | 51 | 48,2 | 0 | 45 | 39,3 | E | 1 | 2,6 | |
Halden (High) Steeple | 51 | 6 | 11,0 | 0 | 42 | 52,0 | E | 2 | 51,5 | |
Haldon (Little) * | 50 | 34 | 3,0 | 3 | 31 | 1,9 | W | 14 | 4,1 | |
Hallifax Tower | 50 | 52 | 47,5 | 0 | 53 | 35,6 | W | 3 | 34,4 | |
Hamble Church | 50 | 51 | 30,3 | 1 | 18 | 44,6 | W | 5 | 15,0 | |
Hamble Saltern | 50 | 51 | 0,9 | 1 | 18 | 15,2 | W | 5 | 13,0 | |
Hampton Poor House * | 51 | 25 | 35,2 | 0 | 21 | 46,6 | W | 1 | 27,1 | |
Hanger Hill * | 51 | 31 | 23,7 | 0 | 17 | 39,6 | W | 1 | 10,6 | |
Hanslope Spire | 52 | 6 | 45,2 | 0 | 49 | 17,8 | W | 3 | 17,2 | |
Harbledown Steeple | 51 | 16 | 58,0 | 1 | 3 | 13,0 | E | 4 | 12,9 | |
Hardres (Upper) Steeple | 51 | 13 | 1,0 | 1 | 4 | 45,0 | E | 4 | 19,0 | |
Hardwick Steeple | 51 | 51 | 47,8 | 0 | 49 | 33,4 | W | 3 | 18,2 | |
Harfield Steeple | 51 | 29 | 15,3 | 2 | 56 | 54,6 | W | 11 | 47,6 | |
Harlington Steeple | 51 | 57 | 48,4 | 0 | 29 | 18,6 | W | 1 | 57,2 | |
Harrow Steeple | 51 | 34 | 27,0 | 0 | 0 | 20,6 | W | 1 | 20,4 | |
Harting Windmill | 50 | 57 | 32,7 | 0 | 51 | 57,8 | W | 3 | 27,8 | |
Havant Church | 50 | 51 | 5,4 | 0 | 58 | 37,7 | W | 3 | 54,5 | |
Hayling (South) Church | 50 | 47 | 44,7 | 0 | 58 | 19,9 | W | 3 | 53,3 | |
Headcorn Windmill | 51 | 10 | 21,0 | 0 | 36 | 41,0 | E | 2 | 26,7 | |
Hearne Windmill | 51 | 21 | 20,0 | 1 | 8 | 6,0 | E | 4 | 32,4 | |
Helmen Tor | 50 | 25 | 9,9 | 4 | 42 | 43,8 | W | 18 | 50,9 | |
Hemmerdon Ball | 50 | 21 | 21,2 | 3 | 59 | 53,6 | W | 15 | 59,5 | |
Hendellion Steeple | 50 | 34 | 25,6 | 4 | 48 | 47,2 | W | 19 | 15,1 | |
Hensbarrow | 50 | 23 | 3,3 | 4 | 48 | 7,7 | W | 19 | 12,5 | |
Higham Steeple | 51 | 4 | 34,6 | 2 | 48 | 40,9 | W | 11 | 14,7 | |
Higham Windmill | 51 | 4 | 21,8 | 2 | 47 | 41,0 | W | 11 | 10,6 | |
Highbury House Observatory (Mr. Aubert) | 51 | 33 | 13,0 | 0 | 5 | 51,0 | W | 0 | 23,4 | |
Highclere * | 51 | 18 | 46,2 | 1 | 20 | 16,4 | W | 5 | 21,1 | |
Highdown Windmill | 50 | 49 | 42,9 | 0 | 26 | 51,0 | W | 1 | 47,4 | |
High Nook, near Dymchurch * | 51 | 1 | 11,5 | 0 | 59 | 18,0 | E | 3 | 57,2 | |
Highworth Steeple | 51 | 37 | 51,4 | 1 | 42 | 14,1 | W | 6 | 48,9 | |
Hilary (St.) Steeple | 50 | 7 | 38,7 | 5 | 24 | 25,4 | W | 21 | 37,7 | |
Hind Head * | 51 | 6 | 56,1 | 0 | 42 | 43,0 | W | 2 | 50,9 | |
Hoathley (West) Church | 51 | 4 | 35,4 | 0 | 3 | 13,0 | W | 0 | 12,9 | |
Hollingborn Hill * | 51 | 15 | 53,5 | 0 | 39 | 28,0 | E | 2 | 37,9 | |
Holy Trinity Steeple, Shaftesbury | 51 | 0 | 20,7 | 2 | 11 | 18,8 | W | 8 | 45,3 | |
Homehurst Church | 50 | 59 | 51,0 | 0 | 23 | 25,5 | E | 1 | 33,7 | |
Honiton Steeple | 50 | 47 | 35,5 | 3 | 10 | 18,1 | W | 12 | 41,2 | |
Hopes Nose, Torbay | 50 | 27 | 48,5 | 3 | 26 | 43,1 | W | 13 | 46,8 | |
Hordle Church | 50 | 43 | 41,2 | 1 | 36 | 22,5 | W | 6 | 25,5 | |
Hornby (Gov.) House | 50 | 50 | 46,1 | 1 | 17 | 40,2 | W | 5 | 10,7 |
[page] 200
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Horndean Church | 50 | 55 | 33,3 | N | 1 | 0 | 20,9 | W | 4 | 1,4 |
Horseshoe Summer-house, Isle of Wight | 50 | 44 | 34,2 | 1 | 18 | 33,7 | W | 5 | 14,2 | |
Horseted (Little) Church | 50 | 56 | 44,1 | 0 | 5 | 35,0 | E | 0 | 22,3 | |
Horsham Church | 51 | 3 | 36,0 | 0 | 19 | 42,7 | W | 1 | 18,9 | |
Horton Observatory | 50 | 51 | 37,9 | 1 | 57 | 1,3 | W | 7 | 48,1 | |
Hotham (Sir Richard) Flagstaff, near Bognor | 50 | 46 | 49,6 | 0 | 40 | 34,3 | W | 2 | 43,5 | |
Hougham Steeple | 51 | 6 | 50,0 | 1 | 15 | 4,0 | E | 5 | 0,3 | |
Hurst Castle | 50 | 42 | 23,4 | 1 | 32 | 45,5 | W | 6 | 11,0 | |
Hurst Light-House | 50 | 42 | 23,4 | 1 | 32 | 50,0 | W | 6 | 11,3 | |
Hurstmonceux Church | 50 | 51 | 34,6 | 0 | 19 | 41,7 | E | 1 | 18,2 | |
Hurstpierpoint Church | 50 | 56 | 2,5 | 0 | 10 | 42,1 | W | 0 | 42,8 | |
Hundred Acres * | 51 | 20 | 17,5 | 0 | 11 | 20,0 | W | 0 | 45,3 | |
I | ||||||||||
Jevington Windmill | 50 | 47 | 12,3 | 0 | 14 | 12,8 | E | 0 | 56,9 | |
Ickham Steeple | 51 | 16 | 45,0 | 1 | 10 | 57,0 | E | 4 | 43,8 | |
Icklesham Steeple | 50 | 55 | 3,0 | 0 | 40 | 24,0 | E | 2 | 41,6 | |
Iden Steeple | 50 | 58 | 54,0 | 0 | 43 | 36,0 | E | 2 | 54,4 | |
Illugan Steeple | 50 | 15 | 4,4 | 5 | 14 | 57,6 | W | 20 | 59,8 | |
John's (St.) Steeple | 50 | 22 | 11,8 | 4 | 14 | 18,9 | W | 16 | 57,2 | |
Ipplepen Steeple | 50 | 27 | 34,2 | 3 | 35 | 13,7 | W | 14 | 20,9 | |
Isey (St.) Steeple | 50 | 30 | 36,0 | 4 | 54 | 20,1 | W | 19 | 37,3 | |
Isllp Steeple | 51 | 49 | 20,7 | 1 | 13 | 57,9 | W | 4 | 55,8 | |
Ive (St.) Steeple | 50 | 28 | 49,0 | 4 | 22 | 7,7 | W | 17 | 28,5 | |
Ivinghoe Spire | 51 | 50 | 9,1 | 0 | 37 | 51,3 | W | 2 | 31,4 | |
Ivy Church Steeple | 51 | 0 | 45,0 | 0 | 53 | 18,0 | E | 3 | 33,0 | |
K | ||||||||||
Karn (Eastern) near Moreton, Devon | 50 | 38 | 48,4 | 3 | 42 | 11,2 | W | 14 | 48,7 | |
Karn (Western) near Moreton, Devon | 50 | 39 | 27,9 | 3 | 42 | 17,4 | W | 14 | 49,1 | |
Karnbonellis * | 50 | 10 | 59,4 | 5 | 12 | 37,7 | W | 20 | 50,5 | |
Karnbre Castle | 50 | 13 | 23,6 | 5 | 13 | 35,0 | W | 20 | 54,3 | |
Karnbury Chapel | 50 | 6 | 23,5 | 5 | 36 | 15,5 | W | 22 | 25,0 | |
Karnminnis * | 50 | 11 | 43,8 | 5 | 30 | 51,9 | W | 22 | 3,5 | |
Kennington Steeple | 51 | 10 | 12,0 | 0 | 53 | 24,0 | E | 3 | 33,6 | |
Kew Pagoda | 51 | 28 | 16,0 | 0 | 17 | 36,0 | W | 1 | 10,4 | |
Keymer Church | 50 | 55 | 13,6 | 0 | 7 | 35,9 | W | 0 | 30,4 | |
Keysoe Spire | 52 | 14 | 58,2 | 0 | 25 | 24,3 | W | 1 | 41,6 | |
Kidlington Spire | 51 | 49 | 44,6 | 1 | 16 | 27,9 | W | 5 | 5,8 | |
Kilminston Down Summer-House | 51 | 0 | 58,5 | 1 | 10 | 45,2 | W | 4 | 43,0 | |
Kings Arbour * | 51 | 28 | 47,1 | 0 | 26 | 50,0 | W | 1 | 47,3 | |
Kingsnorth Steeple | 51 | 7 | 3,0 | 0 | 51 | 49,0 | E | 3 | 27,3 | |
Kingston Church | 50 | 48 | 13,5 | 1 | 4 | 16,9 | W | 4 | 17,1 | |
Kinsworth * | 51 | 51 | 50,8 | 0 | 31 | 59,9 | W | 2 | 7,9 | |
Kirdford Church | 51 | 1 | 44,1 | 0 | 32 | 46,1 | W | 2 | 11,1 | |
Kit Hill * | 50 | 31 | 9,4 | 4 | 16 | 43,2 | W | 17 | 6,9 | |
Kivern (St.) Steeple | 50 | 3 | 5,6 | 5 | 4 | 8,2 | W | 20 | 16,5 | |
Knotting Green Elm Tree | 52 | 15 | 26,6 | 0 | 31 | 11,5 | W | 2 | 4,7 | |
Knowle Steeple | 51 | 32 | 53,7 | 2 | 34 | 30,3 | W | 10 | 18,0 | |
L | ||||||||||
Lambert's Castle, Dorset | 50 | 46 | 17,7 | 2 | 49 | 45,5 | W | 11 | 19,0 | |
Landrake Steeple | 50 | 25 | 20,7 | 4 | 16 | 30,8 | W | 17 | 6,0 | |
Land's End Stone | 50 | 4 | 6,6 | 5 | 41 | 31,5 | W | 22 | 46,1 | |
Lanlivery Steeple | 50 | 24 | 1,9 | 4 | 41 | 11,7 | W | 18 | 44,8 | |
Lansallos * | 50 | 20 | 25,7 | 4 | 32 | 45,7 | W | 18 | 11,0 | |
Lansallos Steeple | 50 | 20 | 15,3 | 4 | 33 | 39,5 | W | 18 | 14,0 | |
Lansdown, near Bath | 51 | 27 | 50,4 | 2 | 23 | 51,8 | W | 9 | 35,4 | |
Launceston Castle | 50 | 38 | 16,8 | 4 | 20 | 45,4 | W | 17 | 23,0 | |
Launceston Steeple | 50 | 38 | 18,1 | 4 | 20 | 41,6 | W | 17 | 22,7 | |
Lawrence (St.) Steeple | 51 | 20 | 16,0 | 1 | 23 | 56,0 | E | 5 | 43,7 | |
Leigh Steeple on Mendip | 51 | 13 | 24,0 | 2 | 26 | 46,1 | W | 9 | 47,1 |
[page] 201
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Leith Hill | 51 | 10 | 35,7 | N | 0 | 22 | 6,3 | W | 1 | 28,4 |
Leighton Buzzard Spire | 51 | 54 | 56,5 | 0 | 39 | 54,4 | W | 2 | 39,6 | |
Lenham Steeple | 51 | 14 | 13,0 | 0 | 43 | 6,0 | E | 2 | 52,4 | |
Leven's (St.) Point Flagstaff | 50 | 3 | 53,8 | 5 | 41 | 4,2 | W | 22 | 44,3 | |
Lidlington * | 52 | 1 | 54,0 | 0 | 32 | 21,7 | W | 2 | 9,4 | |
Lidlington Windmill | 52 | 2 | 4,2 | 0 | 33 | 25,0 | W | 2 | 13,7 | |
Lillyhoe * | 51 | 56 | 46,5 | 0 | 22 | 19,5 | W | 1 | 29,3 | |
Lindfield Church | 51 | 0 | 52,0 | 0 | 4 | 38,0 | W | 0 | 18,5 | |
Linkinghorn Steeple | 50 | 32 | 17,3 | 4 | 21 | 26,7 | W | 17 | 25,8 | |
Linton Steeple | 51 | 13 | 24,0 | 0 | 30 | 40,0 | E | 2 | 2,7 | |
Lisburne (Lord) Obelisk | 50 | 37 | 1,3 | 3 | 30 | 28,1 | W | 14 | 1,9 | |
Liskeard Steeple | 50 | 27 | 14,4 | 4 | 26 | 43,0 | W | 17 | 46,8 | |
Littlebourn Steeple | 51 | 16 | 40,0 | 1 | 11 | 1,0 | E | 4 | 44,1 | |
Littlebourn Light House | 49 | 57 | 39,5 | 5 | 11 | 4,8 | W | 20 | 44,3 | |
Littlebourn Windmill | 49 | 59 | 35,1 | 5 | 12 | 4,4 | W | 20 | 48,3 | |
Lizard Flagstaff | 49 | 57 | 55,8 | 5 | 11 | 17,7 | W | 20 | 45,2 | |
London Argyll Street Observatory | 51 | 30 | 53,0 | 0 | 8 | 19,0 | W | 0 | 33,3 | |
London St. James's Church Piccadilly | 51 | 30 | 31,0 | 0 | 8 | 5,0 | W | 0 | 32,3 | |
London St. Paul's | 51 | 30 | 49,0 | 0 | 5 | 47,0 | W | 0 | 23,1 | |
Long Aston | 51 | 26 | 9,1 | 2 | 38 | 3,7 | W | 10 | 32,2 | |
Long Knoll, Maiden-Bradley * | 51 | 8 | 16,2 | 2 | 17 | 54,1 | W | 9 | 11,6 | |
Lough Park Flagstast | 50 | 0 | 9,9 | 5 | 14 | 39,5 | W | 20 | 58,6 | |
Ludguan Steeple | 50 | 8 | 44,1 | 5 | 28 | 26,4 | W | 21 | 53,8 | |
Luggersall Steeple, Bucks | 51 | 50 | 57,3 | 1 | 2 | 18,8 | W | 4 | 9,2 | |
Luttrell's Folly * | 50 | 48 | 22,5 | 1 | 19 | 7,5 | W | 5 | 16,5 | |
Lydd Steeple | 50 | 57 | 7,5 | 0 | 54 | 19,0 | E | 3 | 37,3 | |
Lyme Cobb | 50 | 43 | 10,0 | 2 | 55 | 29,4 | W | 11 | 41,9 | |
Lymne Steeple | 51 | 4 | 20,0 | 1 | 1 | 22,0 | E | 4 | 5,5 | |
M | ||||||||||
Madern Steeple | 50 | 7 | 56,6 | 5 | 32 | 42,3 | W | 22 | 10,9 | |
Maker Tower Flagstaff | 50 | 20 | 51,8 | 4 | 10 | 16,0 | W | 16 | 41,1 | |
Maker Tower Naval Flagstaff near | 50 | 20 | 51,9 | 4 | 10 | 16,1 | W | 16 | 41,1 | |
Mangot's-field Steeple | 51 | 29 | 9,5 | 2 | 28 | 43,2 | W | 9 | 54,9 | |
Margaret's (St.) Steeple | 51 | 9 | 14,0 | 1 | 22 | 7,0 | E | 5 | 28,5 | |
Markfield Windmill | 52 | 41 | 16,8 | 1 | 16 | 37,0 | W | 5 | 6,4 | |
Marlborough Steeple | 50 | 14 | 40,7 | 3 | 48 | 5,0 | W | 15 | 12,3 | |
Martha's (St.) Chapel | 51 | 13 | 29,0 | 0 | 31 | 33,1 | W | 2 | 6,2 | |
Martincel's Hill Summer House | 51 | 22 | 3,6 | 1 | 45 | 21,0 | W | 7 | 1,4 | |
Martin's (St.) Daymark (Scilly Isle) | 49 | 58 | 29,0 | 6 | 14 | 38,8 | W | 24 | 58,6 | |
Martin's (St.) Spire, Coventry | 52 | 24 | 25,4 | 1 | 30 | 5,5 | W | 6 | 0,3 | |
Mary's (St.) Windmill (Scilly Isle) | 49 | 54 | 32,7 | 6 | 16 | 58,7 | W | 25 | 7,9 | |
Mary's (St.) Steeple | 51 | 0 | 52,0 | 0 | 56 | 28,0 | E | 3 | 45,9 | |
Maulden Steeple | 52 | 1 | 52,2 | 0 | 27 | 20,2 | W | 1 | 49,3 | |
Mayfield Church | 51 | 1 | 15,3 | 0 | 15 | 40,0 | E | 1 | 2,7 | |
Maypowder Steeple | 50 | 51 | 19,7 | 2 | 24 | 43,8 | W | 9 | 38,9 | |
Mawes (St.) Windmill | 50 | 10 | 46,3 | 4 | 59 | 39,4 | W | 19 | 58,6 | |
Menabilly House | 50 | 20 | 9,9 | 4 | 40 | 17,9 | W | 18 | 41,1 | |
Mendip * | 51 | 13 | 7,2 | 2 | 32 | 6,5 | W | 10 | 8,4 | |
Menheniot Steeple | 50 | 27 | 14,5 | 4 | 24 | 5,8 | W | 17 | 36,4 | |
Mere Steeple | 51 | 5 | 21,7 | 2 | 15 | 44,8 | W | 9 | 2,9 | |
Merian (St.) Steeple | 50 | 31 | 59,3 | 4 | 58 | 31,9 | W | 19 | 54,1 | |
Mersham Steeple | 51 | 7 | 1,0 | 0 | 55 | 47,0 | E | 3 | 43,1 | |
Mewstone highest point | 50 | 18 | 29,7 | 4 | 5 | 32,6 | W | 16 | 22,1 | |
Michael Carhayes (St.) Steeple | 50 | 15 | 14,0 | 4 | 50 | 15,5 | W | 19 | 21,0 | |
Middlezoy Steeple | 51 | 5 | 38,3 | 2 | 53 | 1,2 | W | 11 | 32,1 | |
Milborne Port | 50 | 57 | 58,0 | 2 | 27 | 9,3 | W | 9 | 48,6 | |
Milbourn Obelisk | 50 | 45 | 57,8 | 2 | 15 | 58,8 | W | 9 | 3,9 | |
Milford Church | 50 | 43 | 41,7 | 1 | 34 | 59,9 | W | 6 | 20,0 | |
Millbrock Steeple | 52 | 1 | 43,6 | 0 | 31 | 15,5 | W | 2 | 5,0 |
C c
[page] 202
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time. | |||||||||
° | ′ | ″ | ′ | ″ | ′ | ″ | ||||
Milton Church | 50 | 44 | 55,2 | N | 1 | 39 | 28,4 | W | 6 | 37,9 |
Minster Steeple | 51 | 19 | 50,0 | 1 | 18 | 46,6 | E | 5 | 15,1 | |
Mintern * | 50 | 50 | 52,8 | 2 | 29 | 31,6 | W | 9 | 58,1 | |
Minvern (St.) Steeple | 50 | 33 | 30,6 | 4 | 51 | 27,6 | W | 19 | 25,8 | |
Minvern (St.) Windmill | 50 | 31 | 55,5 | 4 | 48 | 32,2 | W | 19 | 14,1 | |
Mongeham Steeple | 51 | 12 | 53,0 | 1 | 21 | 18,0 | E | 5 | 25,2 | |
Monks Horton Steeple | 51 | 7 | 30,0 | 1 | 1 | 53,0 | E | 4 | 7,5 | |
Moorlynch * | 51 | 7 | 50,2 | 2 | 50 | 53,0 | W | 11 | 23,5 | |
Motteston Down * | 50 | 39 | 40,0 | 1 | 25 | 13,8 | W | 5 | 40,9 | |
Moulshoe Steeple | 52 | 2 | 59,0 | 0 | 40 | 39,6 | W | 2 | 42,6 | |
Mount Edgecumbe House | 50 | 21 | 17,9 | 4 | 9 | 39,3 | W | 16 | 38,6 | |
Mountfield Church | 50 | 56 | 50,4 | 0 | 29 | 6,7 | E | 1 | 56,4 | |
Mount Wife Flagstaff | 50 | 22 | 0,7 | 4 | 9 | 31,2 | W | 16 | 38,1 | |
Moyles Court Summer-House | 50 | 52 | 48,2 | 1 | 45 | 37,5 | W | 7 | 2,5 | |
N | ||||||||||
Nackington Steeple | 51 | 14 | 59,0 | 1 | 5 | 14,0 | E | 4 | 20,9 | |
Needles Light House | 50 | 39 | 53,2 | 1 | 33 | 55,2 | W | 6 | 15,7 | |
Neot's (St.) Steeple | 52 | 13 | 34,7 | 0 | 15 | 49,9 | W | 1 | 3,3 | |
Nettlebed * | 51 | 34 | 45,1 | 0 | 58 | 57,1 | W | 3 | 55,8 | |
New Church Steeple | 51 | 2 | 42,0 | 0 | 55 | 38,0 | E | 3 | 42,5 | |
Newnham Windmill | 52 | 13 | 55,7 | 1 | 10 | 59,8 | W | 4 | 43,9 | |
Nicholas, (St.) or Drake's Island Observatory | 50 | 21 | 21,1 | 4 | 8 | 17,9 | W | 16 | 33,2 | |
Nicholas (St.) Steeple | 51 | 21 | 15,0 | 1 | 14 | 57,0 | E | 4 | 59,8 | |
Nine Barrow Down * | 50 | 38 | 3,5 | 2 | 0 | 3,8 | W | 8 | 0,3 | |
Ninefield Church | 50 | 53 | 7,1 | 0 | 25 | 21,6 | E | 1 | 41,4 | |
Noil Steeple | 51 | 4 | 27,1 | 2 | 19 | 50,6 | W | 9 | 19,3 | |
Noil Windmill | 51 | 8 | 29,3 | 2 | 13 | 23,7 | W | 8 | 53,6 | |
Norbourn, or Northbourn Steeple | 51 | 13 | 18,0 | 1 | 20 | 17,0 | E | 5 | 21,1 | |
Norris's Obelisk | 51 | 20 | 24,8 | 0 | 44 | 7,0 | W | 2 | 56,5 | |
Norwood * | 51 | 24 | 37,5 | 0 | 5 | 3,0 | W | 0 | 20,2 | |
Nuffield * | 51 | 34 | 52,2 | 1 | 1 | 56,1 | W | 4 | 7,7 | |
O | ||||||||||
Odcombe Spire | 50 | 56 | 12,6 | 2 | 41 | 34,4 | W | 10 | 46,3 | |
Old Hartford Hut | 51 | 9 | 1,8 | 1 | 51 | 8,1 | W | 7 | 24,5 | |
Ore Church | 50 | 52 | 48,0 | 0 | 35 | 10,0 | E | 2 | 20,7 | |
Orleston Steeple | 51 | 4 | 36,0 | 0 | 51 | 10,0 | E | 3 | 24,7 | |
Ottery (St. Mary) Steeple | 50 | 43 | 12,9 | 3 | 18 | 49,2 | W | 13 | 15,3 | |
Oving Church | 50 | 50 | 17,3 | 0 | 43 | 5,6 | W | 2 | 52,4 | |
Ower Rocks | 50 | 39 | 57,3 | 0 | 39 | 59,5 | W | 2 | 40,0 | |
Oxford New Observatory | 51 | 45 | 39,5 | 1 | 15 | 22,5 | W | 5 | 1,5 | |
P | ||||||||||
Padlesworth | 51 | 6 | 50,5 | 1 | 8 | 8,0 | E | 4 | 32,5 | |
Pagan Church | 50 | 46 | 14,0 | 0 | 44 | 39,9 | W | 2 | 58,7 | |
Palk's (Sir Robert) Tower, Haldon | 50 | 39 | 52,5 | 3 | 34 | 47,0 | W | 14 | 19,1 | |
Pavenham Spire | 52 | 11 | 36,3 | 0 | 32 | 27,0 | W | 2 | 9,8 | |
Paul's (St.) Spire, Bedford | 52 | 8 | 8,8 | 0 | 27 | 43,3 | W | 1 | 50,9 | |
Paul's (St.) Steeple | 50 | 1 | 24,3 | 5 | 21 | 42,7 | W | 21 | 26,8 | |
Peasmarsh Steeple | 50 | 57 | 54,0 | 0 | 41 | 7,0 | E | 2 | 44,5 | |
Pendennis Castle Flagstaff | 50 | 8 | 48,7 | 5 | 1 | 43,6 | W | 20 | 6,9 | |
Penlee Beacon | 50 | 19 | 24,0 | 4 | 10 | 40,1 | W | 16 | 42,6 | |
Penpole Gazebo | 51 | 29 | 33,7 | 2 | 39 | 54,1 | W | 10 | 39,6 | |
Pertinney * | 50 | 6 | 27,0 | 5 | 37 | 31,9 | W | 22 | 30,1 | |
Petherwin (North) Steeple | 50 | 40 | 52,5 | 4 | 25 | 2,8 | W | 17 | 40,2 | |
Petherwin (South) Steeple | 50 | 36 | 30,4 | 4 | 22 | 27,5 | W | 17 | 29,8 | |
Petworth Church | 50 | 59 | 17,0 | 0 | 36 | 25,8 | W | 2 | 25,7 |
[page] 203
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ′ | ″ | ′ | ″ | ||||
Petworth Windmill | 50 | 59 | 22,5 | N | 0 | 34 | 53,3 | W | 2 | 19,6 |
Peranzabulo | 50 | 21 | 59,4 | 5 | 6 | 58,2 | W | 20 | 27,9 | |
Pevenfey Church | 50 | 49 | 11,9 | 0 | 20 | 14,1 | E | 1 | 20,9 | |
Pilsden * | 50 | 48 | 26,9 | 2 | 49 | 23,1 | W | 11 | 17,5 | |
Pitchcot Windmill | 51 | 52 | 58,5 | 0 | 50 | 35,5 | W | 3 | 22,3 | |
Pitt (Mr.) Factory Flagstaff | 50 | 36 | 46,5 | 2 | 3 | 7,9 | W | 8 | 12,5 | |
Playden Steeple | 50 | 57 | 46,0 | 0 | 43 | 56,0 | E | 2 | 55,7 | |
Pluckley Steeple | 51 | 10 | 30,0 | 0 | 45 | 14,0 | E | 3 | 0,9 | |
Plumpton Church | 50 | 54 | 19,1 | 0 | 4 | 12,1 | W | 0 | 16,8 | |
Plymouth Blockhouse Flagstaff | 50 | 22 | 56,4 | 4 | 9 | 11,8 | W | 16 | 36,8 | |
Plymouth Dock Chapel | 50 | 22 | 19,0 | 4 | 9 | 58,3 | W | 16 | 39,9 | |
Plymouth, Governor's House, West Chimney | 50 | 22 | 2,9 | 4 | 9 | 19,1 | W | 16 | 37,2 | |
Plymouth Windmill | 50 | 22 | 11,6 | 4 | 9 | 41,7 | W | 16 | 38,8 | |
Plymouth Garrison Flagstaff | 50 | 21 | 21,8 | 4 | 7 | 24,0 | W | 16 | 29,6 | |
Plymouth Hospital Cupolo | 50 | 22 | 10,1 | 4 | 9 | 56,1 | W | 16 | 39,7 | |
Plymouth New Church | 50 | 22 | 20,4 | 4 | 7 | 16,5 | W | 16 | 29,1 | |
Plymouth Old Church | 50 | 22 | 13,6 | 4 | 7 | 31,6 | W | 16 | 30,1 | |
Plymstock Steeple | 50 | 22 | 24,2 | 4 | 5 | 24,3 | W | 16 | 21,6 | |
Poles (Sir J. de la) Flagstaff | 50 | 42 | 31,9 | 2 | 54 | 43,8 | W | 11 | 38,9 | |
Pollux Hill Steeple | 51 | 59 | 31,2 | 0 | 27 | 8,7 | W | 1 | 48,6 | |
Polparrow Flagstaff | 50 | 25 | 5,5 | 4 | 28 | 24,9 | W | 17 | 53,6 | |
Polruan Old Tower | 50 | 19 | 40,2 | 4 | 37 | 8,0 | W | 18 | 28,5 | |
Poole Church | 50 | 42 | 50,0 | 1 | 58 | 54,6 | W | 7 | 55,6 | |
Porchester Castle | 50 | 50 | 18,6 | 1 | 6 | 35,5 | W | 4 | 26,3 | |
Porchester Church | 50 | 50 | 12,7 | 1 | 6 | 29,1 | W | 4 | 25,9 | |
Portfield Windmill | 50 | 50 | 31,4 | 0 | 45 | 25,5 | W | 3 | 1,7 | |
Portland Light House | 50 | 31 | 22,2 | 2 | 26 | 49,5 | W | 9 | 47,3 | |
Portsdown * | 50 | 51 | 30,6 | 1 | 6 | 12,6 | W | 4 | 24,8 | |
Portsdown Windmill | 50 | 51 | 17,6 | 1 | 3 | 49,1 | W | 4 | 15,3 | |
Portsmouth Academy | 50 | 48 | 1,6 | 1 | 6 | 1,3 | W | 4 | 24,1 | |
Portsmouth Church | 50 | 47 | 26,8 | 1 | 5 | 57,3 | W | 4 | 23,8 | |
Portsmouth Observatory | 50 | 48 | 2,9 | 1 | 5 | 58,7 | W | 4 | 23,9 | |
Preston Steeple | 51 | 17 | 55,0 | 1 | 12 | 54,0 | E | 4 | 51,6 | |
Prinsted Windmill | 50 | 50 | 23,9 | 0 | 54 | 51,6 | W | 3 | 39,4 | |
Puckle Steeple | 51 | 29 | 16,2 | 2 | 25 | 32,8 | W | 9 | 42,2 | |
Pulborough Church | 50 | 57 | 25,5 | 0 | 30 | 13,6 | W | 2 | 0,9 | |
Puncknoll Flagstaff | 50 | 41 | 17,3 | 2 | 38 | 58,8 | W | 10 | 35,9 | |
Puslinch Oblisk, Devon | 50 | 20 | 17,5 | 3 | 59 | 50,1 | W | 15 | 59,3 | |
Q | ||||||||||
Quainton * | 51 | 53 | 6,9 | 0 | 54 | 23,9 | W | 3 | 37,6 | |
Quainton Steeple | 51 | 52 | 28,7 | 0 | 54 | 28,0 | W | 3 | 37,8 | |
R | ||||||||||
Radigunds (St.) Abbey | 51 | 7 | 56,0 | 1 | 14 | 44,0 | E | 4 | 58,9 | |
Radley Steeple | 51 | 40 | 58,3 | 1 | 43 | 33,4 | W | 6 | 54,2 | |
Rame Head | 50 | 18 | 51,7 | 4 | 12 | 29,0 | W | 16 | 49,9 | |
Rame Steeple | 50 | 19 | 18,7 | 4 | 30 | 47,3 | W | 18 | 3,1 | |
Ramsden Hill | 50 | 46 | 7,5 | 1 | 48 | 8,0 | W | 7 | 12,5 | |
Ramsgate Windmill | 51 | 19 | 49,0 | 1 | 24 | 20,0 | E | 5 | 37,3 | |
Ravensden Steeple | 52 | 10 | 33,9 | 0 | 25 | 15,7 | W | 1 | 41,0 | |
Reculver (South) | 51 | 22 | 47,0 | 1 | 11 | 50,0 | E | 4 | 47,3 | |
Redcliff Steeple, Bristol | 51 | 26 | 54,8 | 2 | 34 | 50,4 | W | 10 | 19,3 | |
Renhold Spire | 52 | 9 | 41,5 | 0 | 24 | 20,1 | W | 1 | 37,3 | |
Richmond Royal Observatory | 51 | 28 | 8,0 | 0 | 18 | 43,0 | W | 1 | 14,9 | |
Ridgemont * | 52 | 0 | 56,4 | 0 | 34 | 45,7 | W | 2 | 19,0 | |
Ringswold, or Kingswould, Steeple | 51 | 11 | 8,0 | 1 | 22 | 20,0 | E | 5 | 29,3 | |
Ringwood Church | 50 | 50 | 58,0 | 1 | 47 | 16,0 | W | 7 | 9,1 | |
Rippin Tor * | 50 | 33 | 59,1 | 3 | 45 | 26,2 | W | 15 | 1,7 |
C c 2
[page] 204
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Ripple Steeple | 51 | 12 | 12,0 | N | 1 | 19 | 0,0 | E | 5 | 16,0 |
Roach Rock | 50 | 23 | 53,4 | 4 | 48 | 29,4 | W | 19 | 13,9 | |
Roach Steeple | 50 | 23 | 58,7 | 4 | 48 | 46,6 | W | 19 | 15,1 | |
Rogers (Mr.) Tower | 50 | 10 | 42,4 | 5 | 16 | 37,4 | W | 21 | 6,5 | |
Rolle's (Lord) Barn, near Sidmouth | 50 | 45 | 35,6 | 2 | 58 | 39,6 | W | 11 | 54,6 | |
Rolvenden Steeple | 51 | 3 | 3,0 | 0 | 37 | 50,0 | E | 2 | 31,3 | |
Romden Stables | 51 | 8 | 49,0 | 0 | 42 | 36,0 | E | 2 | 50,4 | |
Romney (New) Steeple | 50 | 59 | 7,0 | 0 | 56 | 22,0 | E | 3 | 45,5 | |
Romney (Old) Steeple | 50 | 59 | 25,0 | 0 | 53 | 50,0 | E | 3 | 35,3 | |
Rook's Hill * | 50 | 53 | 32,5 | 0 | 44 | 58,3 | W | 2 | 59,9 | |
Rook's Hill Windmill | 50 | 53 | 17,2 | 0 | 45 | 47,1 | W | 3 | 3,1 | |
Rotherfield Church | 51 | 2 | 46,3 | 0 | 13 | 8,8 | E | 0 | 52,6 | |
Round House Edge Hills | 52 | 7 | 25,6 | 1 | 26 | 54,4 | W | 5 | 47,6 | |
Round House Windmill | 52 | 7 | 11,4 | 1 | 27 | 8,6 | W | 5 | 48,6 | |
Ruan Major Steeple | 50 | 0 | 27,2 | 5 | 11 | 29,1 | W | 20 | 45,9 | |
Ruckinge * | 51 | 3 | 55,0 | 0 | 53 | 16,0 | E | 3 | 33,1 | |
Ruckinge Church | 51 | 3 | 56,0 | 0 | 53 | 13,0 | E | 3 | 32,9 | |
Rumbold's (St.) Steeple, Shaftsbury | 50 | 59 | 11,8 | 2 | 11 | 28,5 | W | 8 | 45,5 | |
Rusper Church | 51 | 7 | 22,4 | 0 | 16 | 36,9 | W | 1 | 6,5 | |
Rye Steeple | 50 | 57 | 1,0 | 0 | 44 | 0,0 | E | 2 | 56,0 | |
S | ||||||||||
Salisbury Plain (North) Windmill | 51 | 12 | 3,4 | 1 | 55 | 20,8 | W | 7 | 41,4 | |
Salisbury Plain (South) Windmill | 51 | 11 | 33,0 | 1 | 53 | 43,2 | W | 7 | 34,9 | |
Salisbury Spire | 51 | 3 | 48,9 | 1 | 47 | 0,2 | W | 7 | 8,0 | |
Saltash Steeple | 50 | 24 | 39,8 | 4 | 11 | 41,8 | W | 16 | 42,8 | |
Sandhurst Steeple | 51 | 1 | 3,0 | 0 | 33 | 4,0 | E | 2 | 12,3 | |
Sandown Castle | 51 | 14 | 18,0 | 1 | 23 | 59,0 | E | 5 | 35,9 | |
Sandwick highest Church Steeple | 51 | 16 | 30,0 | 1 | 20 | 15,0 | E | 5 | 21,0 | |
Sarsden Chapel | 51 | 54 | 16,4 | 1 | 34 | 25,9 | W | 6 | 17,7 | |
Sarum (Old) * | 51 | 5 | 44,7 | 1 | 47 | 27,5 | W | 7 | 9,9 | |
Sauldon Windmill | 51 | 57 | 9,7 | 0 | 47 | 26,9 | W | 3 | 9,8 | |
Schutchamsly * | 51 | 33 | 44,1 | 1 | 20 | 13,0 | W | 5 | 20,8 | |
Selsea Church | 50 | 45 | 18,8 | 0 | 45 | 41,3 | W | 3 | 2,7 | |
Selsea High House | 50 | 43 | 49,6 | 0 | 47 | 53,8 | W | 3 | 11,5 | |
Selsea Windmill | 50 | 44 | 5,4 | 0 | 48 | 4,4 | W | 3 | 12,3 | |
Sennen * | 50 | 3 | 55,6 | 5 | 40 | 52,4 | W | 22 | 43,5 | |
Sennen Steeple | 50 | 4 | 18,0 | 5 | 40 | 29,9 | W | 22 | 41,9 | |
Sevenoaks Windmill | 51 | 14 | 29,0 | 0 | 11 | 13,0 | E | 0 | 44,9 | |
Severndroog Castle on Shooter's Hill * | 51 | 28 | 0,0 | 0 | 3 | 41,0 | E | 0 | 14,7 | |
Shadoxhurst Steeple | 51 | 6 | 14,0 | 0 | 48 | 53,0 | E | 3 | 15,5 | |
Sharnbrook Spire | 52 | 12 | 55,1 | 0 | 32 | 48,0 | W | 2 | 11,2 | |
Shillington Steeple | 51 | 59 | 31,7 | 0 | 21 | 45,0 | W | 1 | 27,0 | |
Shire Ash Tree | 51 | 58 | 46,8 | 0 | 39 | 12,6 | W | 2 | 36,8 | |
Shooter's Hill * | 51 | 28 | 5,1 | 0 | 3 | 54,5 | E | 0 | 15,6 | |
Shoreham Church | 50 | 49 | 59,5 | 0 | 16 | 19,1 | W | 1 | 5,3 | |
Shottenden Windmill | 51 | 15 | 41,0 | 0 | 55 | 25,0 | E | 3 | 41,7 | |
Shotover Hill * | 51 | 45 | 6,7 | 1 | 10 | 47,5 | W | 4 | 43,1 | |
Silsoe Steeple | 52 | 0 | 33,0 | 0 | 25 | 21,4 | W | 1 | 41,4 | |
Slaugham Church | 51 | 2 | 18,7 | 0 | 12 | 21,4 | W | 0 | 49,4 | |
Sleep Down * | 50 | 51 | 22,1 | 0 | 20 | 19,2 | W | 1 | 21,3 | |
Smarden Steeple | 51 | 8 | 57,0 | 0 | 41 | 8,0 | E | 2 | 44,5 | |
Snargate Steeple | 51 | 1 | 23,0 | 0 | 50 | 10,0 | E | 3 | 20,7 | |
Snave Steeple | 51 | 2 | 1,0 | 0 | 52 | 12,0 | E | 3 | 28,8 | |
Soleyhull Spire | 52 | 2 | 30,4 | 1 | 45 | 49,3 | W | 7 | 3,3 | |
Somerton Steeple | 51 | 3 | 17,3 | 2 | 43 | 5,1 | W | 10 | 52,3 | |
Sopley Church | 50 | 46 | 34,7 | 1 | 47 | 33,5 | W | 7 | 10,2 | |
Souldrope Spire | 52 | 14 | 38,6 | 0 | 33 | 59,1 | W | 2 | 12,6 |
[page] 205
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Southampton Spire | 50 | 53 | 59,5 | N | 1 | 23 | 56,4 | W | 5 | 35,8 |
South Hill Steeple | 51 | 31 | 48,3 | 4 | 20 | 34,4 | W | 17 | 22,3 | |
South Sea Castle | 50 | 46 | 42,5 | 1 | 5 | 1,7 | W | 4 | 20,1 | |
Southwick Church (Sussex) | 50 | 50 | 6,6 | 0 | 14 | 20,9 | W | 0 | 57,3 | |
Southwick Church (Hants) | 50 | 52 | 27,0 | 1 | 6 | 24,3 | W | 4 | 25,6 | |
Spital Windmill | 50 | 52 | 44,7 | 0 | 1 | 28,3 | W | 0 | 26,0 | |
Spring Grove House (Rt Hon. Sir J. Banks, Bt.) | 51 | 28 | 34,0 | 0 | 20 | 22,0 | W | 1 | 21,5 | |
Stanwell Steeple | 51 | 27 | 2,3 | 0 | 28 | 37,0 | W | 1 | 54,5 | |
Staplehurst Steeple | 51 | 9 | 30,0 | 0 | 33 | 9,0 | E | 2 | 12,6 | |
Start Point Flagstaff | 50 | 13 | 25,9 | 3 | 38 | 20,8 | W | 14 | 33,4 | |
Statten Barn | 50 | 20 | 37,4 | 4 | 6 | 26,1 | W | 16 | 25,7 | |
Statten Battery Flagstaff | 50 | 20 | 31,8 | 4 | 6 | 41,6 | W | 16 | 26,8 | |
Stelling Windmill | 51 | 10 | 51,0 | 1 | 3 | 6,0 | E | 4 | 12,4 | |
Stephens (St.) * | 50 | 39 | 6,7 | 4 | 21 | 47,1 | W | 17 | 27,1 | |
Stephens (St.) Steeple | 50 | 38 | 50,3 | 4 | 21 | 20,1 | W | 17 | 25,3 | |
Stephen's (St.) Steeple | 50 | 24 | 15,1 | 4 | 12 | 50,5 | W | 16 | 51,3 | |
Stockbridge Hill * | 51 | 6 | 55,3 | 1 | 27 | 8,2 | W | 5 | 48,5 | |
Stokeclimsland Steeple | 50 | 32 | 55,8 | 4 | 17 | 35,0 | W | 17 | 10,3 | |
Stonehenge, Salisbury Plain | 51 | 10 | 44,3 | 1 | 49 | 7,8 | W | 7 | 16,5 | |
Stonehouse Steeple | 50 | 20 | 47,4 | 4 | 6 | 23,2 | W | 16 | 25,5 | |
Stourhead House | 51 | 6 | 29,5 | 2 | 18 | 36,4 | W | 9 | 15,4 | |
Stourmouth, or Stormouth Steeple | 51 | 19 | 13,0 | 1 | 14 | 3,0 | E | 4 | 56,2 | |
Stow * | 51 | 55 | 46,9 | 1 | 42 | 59,6 | W | 6 | 51,9 | |
Stow-on-the-Wold * | 51 | 54 | 16,3 | 1 | 42 | 2,4 | W | 6 | 48,1 | |
Stow Park, (Northern) Obelisk | 52 | 2 | 30,2 | 1 | 0 | 42,9 | W | 4 | 2,8 | |
Stow Park, (Southern) Obelisk | 52 | 2 | 2,2 | 1 | 0 | 27,1 | W | 4 | 1,8 | |
Stretham Steeple | 51 | 25 | 46,0 | 0 | 7 | 48,0 | W | 0 | 31,2 | |
Stretley Steeple | 51 | 56 | 42,8 | 0 | 26 | 12,4 | W | 1 | 44,8 | |
Sturry Steeple | 51 | 17 | 55,0 | 1 | 7 | 5,0 | E | 4 | 28,3 | |
Sundon Windmill | 51 | 57 | 52,7 | 0 | 28 | 57,0 | W | 1 | 55,8 | |
Sutton Windmill | 51 | 12 | 46,0 | 0 | 36 | 9,0 | E | 2 | 24,6 | |
Swingfield Steeple * | 51 | 8 | 48,0 | 1 | 11 | 18,0 | E | 4 | 45,2 | |
T | ||||||||||
Tatesfield Church | 51 | 17 | 12,6 | 0 | 1 | 56,4 | E | 0 | 7,7 | |
Tenterden Steeple * | 51 | 4 | 8,0 | 0 | 41 | 11,0 | E | 2 | 44,8 | |
Thakenham Church | 50 | 56 | 41,8 | 0 | 25 | 7,1 | W | 1 | 40,5 | |
Tharfield Windmill | 52 | 1 | 30,9 | 0 | 3 | 20,4 | W | 0 | 13,3 | |
Thorness * | 50 | 44 | 1,1 | 1 | 21 | 43,5 | W | 5 | 26,9 | |
Thorney Down * | 51 | 6 | 30,2 | 1 | 42 | 16,8 | W | 6 | 49,1 | |
Thorney (West) Church | 50 | 49 | 0,7 | 0 | 54 | 15,2 | W | 3 | 37,0 | |
Thornhill's (Mrs.) Obelisk | 50 | 56 | 17,5 | 2 | 21 | 53,8 | W | 9 | 27,6 | |
Three Barrow Tor, Dartmoor | 50 | 29 | 13,5 | 3 | 50 | 34,0 | W | 15 | 22,3 | |
Titchfield Church | 50 | 51 | 10,0 | 1 | 13 | 41,6 | W | 4 | 54,8 | |
Torbay, Berry Head Flagstaff | 50 | 24 | 0,7 | 3 | 28 | 14,4 | W | 13 | 52,9 | |
Tottenhoe * | 51 | 53 | 18,9 | 0 | 34 | 37,5 | W | 2 | 18,5 | |
Tremaine's (Mr.) Summer House | 50 | 16 | 37,8 | 4 | 47 | 14,1 | W | 19 | 8,9 | |
Trenchard's (Mr.) Tower | 50 | 46 | 40,5 | 2 | 5 | 36,5 | W | 8 | 22,4 | |
Trevose Head * | 50 | 32 | 56,5 | 5 | 0 | 54,2 | W | 20 | 3,6 | |
Trusler Hill * | 51 | 59 | 48,0 | 0 | 34 | 50,5 | W | 2 | 19,3 | |
V | ||||||||||
Veep's (St.) Steeple | 50 | 21 | 57,5 | 4 | 36 | 1,0 | W | 18 | 24,1 | |
U | ||||||||||
Ulcombe Steeple | 51 | 13 | 1,0 | 0 | 38 | 31,0 | E | 2 | 33,0 |
[page] 206
TABLE XXX. The Latitudes and Longitudes of Places. | ||||||||||
Names of Places. | Latitudes. | Longitude | ||||||||
In Degrees. | In Time | |||||||||
° | ′ | ″ | ° | ′ | ″ | ′ | ″ | |||
Wadhurst Steeple | 51 | 3 | 46,0 | N | 0 | 20 | 25,0 | E | 1 | 21,7 |
Waldershare Park, the Belvidere | 51 | 10 | 53,0 | 1 | 15 | 39,0 | E | 5 | 2,6 | |
Waldershare Steeple | 51 | 11 | 15,0 | 1 | 16 | 59,0 | E | 5 | 7,9 | |
Waldron Church | 51 | 0 | 9,8 | 0 | 10 | 42,5 | E | 0 | 42,8 | |
Walford Spire | 52 | 0 | 31,6 | 1 | 37 | 48,5 | W | 6 | 31,2 | |
Wallingford Steeple | 51 | 36 | 2,4 | 1 | 6 | 59,8 | W | 4 | 27,9 | |
Walmer Steeple | 51 | 15 | 29,0 | 1 | 23 | 8,0 | E | 5 | 32,5 | |
Walton Windmill | 51 | 6 | 59,5 | 2 | 45 | 44,5 | W | 11 | 2,9 | |
Wanstead House | 51 | 34 | 10,0 | 0 | 2 | 7,0 | E | 0 | 8,5 | |
Warblington Church | 50 | 50 | 57,1 | 0 | 57 | 25,6 | W | 3 | 49,7 | |
Warehorn Steeple | 51 | 3 | 27,0 | 0 | 50 | 13,0 | E | 3 | 20,9 | |
Warwick Steeple | 52 | 16 | 53,0 | 1 | 34 | 54,3 | W | 6 | 19,6 | |
Wendover * | 51 | 45 | 6,4 | 0 | 46 | 1,4 | W | 3 | 4,1 | |
Werrington Steeple | 50 | 39 | 52,2 | 4 | 21 | 6,9 | W | 17 | 24,4 | |
West Bourn Church | 50 | 51 | 38,4 | 0 | 55 | 24,3 | W | 3 | 41,6 | |
West Down Beacon | 50 | 37 | 20,5 | 3 | 20 | 17,5 | W | 13 | 21,1 | |
Westbury Down * | 51 | 15 | 35,3 | 2 | 8 | 9,4 | W | 8 | 32,6 | |
Westham Church | 50 | 49 | 4,0 | 0 | 19 | 45,8 | E | 1 | 19,0 | |
Westonzoyland Steeple | 51 | 6 | 33,8 | 2 | 44 | 35,3 | W | 10 | 58,3 | |
Westleigh Steeple | 51 | 30 | 49,4 | 2 | 26 | 10,4 | W | 9 | 44,6 | |
Westoning Steeple | 51 | 59 | 2,7 | 0 | 30 | 5,9 | W | 2 | 0,4 | |
West Tarring Church | 50 | 49 | 29,8 | 0 | 23 | 35,0 | W | 1 | 34,3 | |
West-stone-Street Windmill | 51 | 10 | 22,0 | 1 | 1 | 45,0 | E | 4 | 7,0 | |
Westwell Steeple | 51 | 11 | 39,0 | 0 | 50 | 39,0 | E | 3 | 22,6 | |
Whitehouse Hill * | 51 | 34 | 31,6 | 1 | 33 | 37,7 | W | 6 | 14,5 | |
Whiteham Hill * | 51 | 46 | 15,4 | 1 | 19 | 48,1 | W | 5 | 19,2 | |
Whitlands Naval Flagstaff | 50 | 42 | 47,7 | 3 | 2 | 22,8 | W | 12 | 9,5 | |
Whittersham Steeple | 51 | 0 | 39,0 | 0 | 42 | 10,0 | E | 2 | 48,7 | |
Wickham Steeple | 51 | 17 | 5,0 | 1 | 10 | 48,0 | E | 4 | 43,2 | |
Willesborough Steeple | 51 | 8 | 14,0 | 0 | 53 | 52,0 | E | 3 | 35,5 | |
Willingdon Church | 50 | 49 | 31,2 | 0 | 14 | 40,6 | E | 0 | 58,7 | |
Winchelsea Steeple | 50 | 55 | 28,0 | 0 | 42 | 31,0 | E | 2 | 50,0 | |
Windsor Castle | 51 | 29 | 0,0 | 0 | 35 | 28,0 | W | 2 | 21,9 | |
Wingham Steeple | 51 | 16 | 21,0 | 1 | 12 | 38,0 | E | 4 | 50,5 | |
Wingreen * | 50 | 59 | 7,6 | 2 | 5 | 58,9 | W | 8 | 23,9 | |
Wingrove Steeple | 51 | 51 | 46,8 | 0 | 44 | 7,3 | W | 2 | 56,5 | |
Winterslow Church | 51 | 5 | 29,7 | 1 | 40 | 3,0 | W | 6 | 40,2 | |
Wisborough Green Church | 51 | 1 | 20,1 | 0 | 29 | 55,0 | W | 1 | 59,7 | |
Winterbown Steeple | 51 | 31 | 36,4 | 2 | 30 | 31,2 | W | 10 | 2,1 | |
Witchwood Steeple | 51 | 50 | 9,8 | 1 | 31 | 57,6 | W | 6 | 7,8 | |
Whitlands Naval Flagstaff | 50 | 42 | 47,7 | 3 | 2 | 22,8 | W | 12 | 9,5 | |
Witney Spire | 51 | 46 | 49,9 | 1 | 28 | 42,9 | W | 5 | 54,8 | |
Woard Steeple | 51 | 15 | 23,0 | 1 | 20 | 41,0 | E | 5 | 22,7 | |
Woburn Market House | 51 | 59 | 27,8 | 0 | 36 | 58,5 | W | 2 | 27,9 | |
Woburn Steeple | 51 | 59 | 21,8 | 0 | 37 | 0,3 | W | 2 | 28,0 | |
Woodchurch Steeple | 51 | 4 | 51,0 | 0 | 46 | 12,0 | E | 3 | 4,8 | |
Woodley's Summer House | 50 | 33 | 4,5 | 3 | 45 | 13,0 | W | 15 | 0,9 | |
Woodnessborough, or Woodnesborough Steeple | 51 | 15 | 47,0 | 1 | 18 | 17,0 | E | 5 | 13,1 | |
Woodstock Steeple | 51 | 50 | 47,4 | 1 | 21 | 0,5 | W | 5 | 24,0 | |
Wooton Steeple | 52 | 5 | 39,2 | 0 | 31 | 55,7 | W | 2 | 7,7 | |
Worsley (Sir Richard) Obelisk | 50 | 36 | 59,5 | 1 | 14 | 35,4 | W | 4 | 58,3 | |
Wrest Garden Obelisk | 52 | 0 | 16,2 | 0 | 25 | 10,7 | W | 1 | 40,7 | |
Wrotham Hill * | 51 | 18 | 54,0 | 0 | 18 | 47,0 | E | 1 | 15,1 | |
Wyke Church | 50 | 35 | 57,5 | 2 | 28 | 10,2 | W | 9 | 52,7 | |
Wyvelsfield Church | 50 | 58 | 16,0 | 0 | 5 | 36,3 | W | 0 | 22,4 |
[page break]
THE
OF THE
[page break]
[page 1]
CONCERNING
The INSTRUMENTS and OBSERVATIONS.
THE observer must be furnished with a good Hadley's quadrant, and a watch that can be depended on for keeping time within a minute for six hours. But it will be more convenient if the instrument be made a sextant, in which case it will measure 120°, for the sake of observing the moon's distance from the sun, for two or three days after the first and before the last quarter. The instrument will be still more fit for the purpose, if it be furnished with a screw to move the index gradually in measuring the moon's distance from the sun or star; an additional dark glass, lighter than the common ones, to take off the glare of the moon's light in observing her distance from a fixed star, and a small telescope, magnifying three or four times, to render the contact of the star with the moon's limb more discernible. A magnifying glass of an inch, or an inch and a half focus will assist the observer to read off his observation with greater ease and century.
The greatest care must be taken in having the quadrant carefully adjusted before the observation; or, which I would rather advise, in examining the error of the adjustment, for it is liable to alter, and allowing for it. The method of doing it is this; turn the index of the quadrant till the horizon of the sea, or the moon, or any other proper object, appears as one, by the union of the reflected image with the object seen directly; then the number of minutes by which O on the index differs from O on the arch is the error of adjustment. If O on the index stands advanced upon the quadrant before, or to the left hand of O on the arch, that number of minutes is to be subtracted from all observations; but if it stands off the arch, behind, or to the right hand of O on the arch, it must be added to the observations. But the sun is incomparably the best object for this purpose: either the two suns may be brought into one, or, which is a still better method, the sun's diameter may be measured twice, with the index placed alternately before and behind the beginning of the divisions: half the difference of these two measures will be the correction of the adjustment, which must be added to, or subtracted from all observations, as the diameter measured with the index upon the arch, that is to say, before or to the left hand of the beginning of the divisions, is less or greater than the diameter measured with the index off the arch, behind, or to the right hand of the beginning of the divisions. Thus, suppose I had measured the sun's diameter with the index upon the arch or to the left hand of the beginning of the divisions, to be 30′, and the contrary way to be 33′; I should conclude that the correction of ad-
a
[page] 2
justment is 1′½, or half the difference, 3′, additive to the observations. In the practice of this method the telescope must be used, and a dark glass must be applied at the eye, or at least on the hither side of the little speculum, to darken both suns at once. It may be sometimes convenient to provide an umbrella of pasteboard, about six inches square, with a hole in the middle to receive the telescope, in order to defend the eye from the direct light of the sun, as well as from the ambient brightness of the sky, which would otherwise render this practice in many cases too painful and difficult.
It will conduce to greater exactness to take several measures of the sun's diameter each way, and take the means of each; half the difference of the two means will be the correction of the adjustment, to be applied as before.
There is another adjustments of the quadrant, which is not commonly regarded so much as it ought to be, that of setting the little speculum parallel to the great one by the screws on the fore-part of the instrument. The manner of doing it is this; hold the plane of the quadrant parallel to the horizon, and the index being brought near to O, if the horizon of the sea, seen by reflection in the little speculum, is higher than the direct horizon seen by the side of it, unscrew the nearest screw a little, and screw up the opposite one till the direct and reflected horizons agree. On the contrary, if the reflected horizon is lower than the true one, unscrew the screw furthest from you, and screw up the nearest one; and take care to leave the screws both tight, by screwing them up equally if they are slack.
The observer being now assured of the adjustment of his quadrant, or the exact correction of it, may proceed safely to the necessary observations for ascertaining the longitude. The first observation to be made, is that of the altitude of the sun or some bright star, if the horizon be fair enough, for computing the apparent time at the ship, and correcting the watch by which the other observations are to be made. These altitudes must not be taken nearer to the meridian than three or four points; but the nearer they are taken due east or west the better, provided the object be not less than 5° high. The next observation to be made is, that of the distance of a star from the moon's enlightened limb, or the distance of the nearest limbs of the sun and moon. The two other requisite observations are the altitudes of the moon and star, or the moon and sun, to be taken by two assistants at the instant when the principal observer gives notice of completing his observation of the distance of the moon from the sun or star. At the same instant, somebody must note the hour, minute, and second, shewn by the watch which was used in taking the sun or star's altitude for computing the time; and the observations requisite for ascertaining the longitude are completed.
If the moon's distance be taken from the sun, and the sun be not nearer to the meridian than three points, and his altitude be well taken, this altitude will serve to compute the apparent time from, without requiring the use of the separate observation first mentioned, except it be used by way of confirmation and check both upon observation and calculation.
In taking the moon's distance from the sun, the observer must look at the moon directly through the unsoiled part of the little speculum, and observe the sun by reflection, letting down one of the dark glasses used in taking his meridional altitude. In taking the moon's distance from a star, he must look at the star directly, and fee the moon by reflection, using the dark glass that is lighter than the rest, and designed for this particular purpose, if it be necessary. The plane of the quadrant must be always made to pass through the two objects whole distance is to be observed, and must be put into various positions accord-
[page] 3
ing to the situations of the objects, which will be rendered familiar by a little experience.
In order to attain the greater degree of exactness, it will be proper to repeat the observations till at least three distances and their corresponding altitudes are obtained; but the more that are taken the better. The sum of the distances divided by the number of them is the mean distance: in like manner the mean altitudes, and the mean time by the watch are obtained; which then are to be used as a single observation would be, only they may be relied upon with greater assurance. But these observations must be all included within the space of a quarter of an hour or thereabouts.
The manner of finding the star, whose distance from the moon is set down in the Ephemeris, has been mentioned among the uses of the distances contained in the Ephemeris.
Whoever would see more concerning the necessary instruments and observations, may consult the two first chapters of the British Mariner's Guide, from which most of the foregoing instructions are borrowed.
TABLE 1.
IT is certain, both from experience and the laws of dioptrics, that the rays of light are bent out of their rectilineal course on passing obliquely out of one medium into another of a different density: and if the density of this latter medium continually increase, rays of light, as they pass through it, will be bent more and more from their first direction towards a line which is perpendicular to the surface of the medium on which they fall. Hence it is that all the heavenly bodies, except when they are in the zenith, appear higher than they ought to do; and the more so, the nearer they are to the horizon; because they then pass through a greater portion of the earth's atmosphere, as well as more obliquely to the refracting surface. This apparent elevation of the heavenly bodies above their true height is called their refraction, and the effect of it is contained in Table I. All observed altitudes of the sun, moon, and stars, must be lessened by the numbers in this table, which are to be taken out with the observed altitude of the object, corrected for the dip of the horizon contained in the following table.
TABLE II.
In observing altitudes with Hadley's quadrant, the image of the object is brought down to the visible horizon; that is, to the edge of the water: but on account of the convexity of the earth's surface, and the elevation of the observer's eye above it, a line drawn from the observer's eye to the water's edge will fall below the true horizontal line, drawn through the eye of the observer; consequently, by bringing the image of the object down to the former line, instead of the latter, the altitude is made too great, and the more so, the higher the observer is raised above the surface of the sea; and the quantity of this
a 2
[page] 4
error, to every probable height that the observer may be raised to, is contained in Table II. and is to be taken out with the height of the observer's eye in feet. This correction is evidently subtractive from the observed altitude. The horizon of the sea is raised up by one-tenth of the depression, computed from the dimensions of the earth, by the effect of refraction, which is allowed for in this table.
TABLE III.
The parallax of any celestial object is the distance between its place in the heavens, as seen from the surface of the earth, and that in which it would be seen from the center: the last is called its true place, and is that which is given directly from astronomical tables. On this account all objects (except when they are in the zenith) appear lower than they really are; and the quantity of this error depends jointly on the distance of the object from the center of the earth, and its altitude above the horizon; consequently, when the distance of the object is continually the same, or nearly so, as is the case of the sun, it will depend wholly on its altitude; being greatest when the sun is in the horizon, where it is about 9″, and lessening gradually as the altitude increases, until it arrives at the zenith, where it is nothing.
The correction of the sun's altitude on this account is contained in Table III. out of which it must be taken with the sun's apparent altitude, and is always to be added to the apparent altitude to obtain the true altitude.
TABLE IV.
It is well known that objects appear greater or less, as they are at a greater or less distance from the observer; consequently, as the moon is nearer to the observer by a semi-diameter of the earth when she is in the zenith than when she is in the horizon, and as the earth's semi-diameter bears a very sensible proportion to the moon's distance from its center, it is manifest that the semi-diameter of the moon must appear greater to a spectator on the earth's surface, when she is in his zenith than when she is in his horizon: and as this augmentation of her diameter is variable, increasing all the way from the horizon to the zenith, it has been thought proper to give her horizontal semi-diameter in the Nautical Almanac to every noon and mid-night; and the augmentation of it, according to her altitude, is contained in Table IV. out of which it is to be taken with her altitude, and added to her horizontal semi-diameter, found in the Almanac, for the given time.
TABLE V.
The numbers in Table II. express the dip of the visible horizon, below the true, when it is intirely open, and free from all incumbrances of land or other objects that might hide it from the observer. But as it frequently happens, especially in harbours, and when ships are running along shore, where, nevertheless an observation may be very desirable, that the sun is over the land at the time when it is wanted, and the shore nearer to the ship than the visible horizon would be, if it was unconfined; and as in that case the dip will be different from what it would otherwise have been, and greater, the nearer the ship is to that part of the shore which the sun is brought down to; it has been judged proper to insert the dip of the sea to different heights of the eye, and different distances from the ship, in Table V. to be used instead of the numbers in
[page] 5
Table II. when occasions require. This Table is to be entered on the top with the height of the eye above the surface of the sea in feet, and on the side with the distance of the ship from the land in sea miles; and, directly under the former, and opposite to the latter, stands the dip of that point in minutes of a degree: which is to be subtracted from the observed altitude instead of the number in Table II. The numbers in the table have been corrected for the effect of refraction.
Most seamen can estimate, nearly, the distance of any object from the ship, especially when that distance is not greater than five or six miles, which is the greatest distance that the visible horizon can be from an observer on the quarter deck of any ship whatsoever. But if any person wish for a method of determining that distance by actual measurement, the following one, if executed carefully, will give it sufficiently near the truth for the purpose of taking the dip out of Table V.
Let two observers, one placed as high up the main-mast as he can conveniently be, and the other on the deck, directly underneath him, each observe the altitude of the sun, or other object that may be wanted, at the same instant of time; and let the height of each observer's eye, above the surface of the water, be carefully measured. Take the sum and difference of these two heights, in feet, and also the difference of the two altitudes (of which that observed by the upper person will always be greatest) and say, as the difference of the heights of the two observers is to the sum of them, so is the fine of the difference of the two observed altitudes to the sine of an angle: take half the sum of this angle and the difference of the observed altitudes; and say, as the radius is to the co-tangent of the half sum, so is the height of the upper observer above the sea, in feet, to the distance of the ship from the land in feet; which being divided by 6078, the feet in a sea mile, give the distance in miles. Or, to save this last division, the observer may write out the table, putting the number of feet in the side column that corresponds to the miles and parts of a mile that are there now.
EXAMPLE.
Admit that the height of an observer's eye on the deck of a ship be 22 feet, that of another observer at the main-top-mast-head 90 feet; and that the difference of the altitudes of the sun's limb when brought down to the water's edge, by these two observers, is 12 minutes: how far were they from the land according to this observation?
Height of the mast-head | 90 | feet, | |||
Deck | 22 | ditto, | |||
Difference | 68 | Log. Ar. Co. | 8,16749 | ||
Sum | 112 | Log. | 2,04922 | ||
Diff. Observed altitudes | 0° | 12′ | 0″ | Sine | 7,54291 |
0 | 19 | 46 | Sine | 7,75962 | |
Sum | 0 | 31 | 46 | ||
Half Sum | 0 | 15 | 53 | Co-tang. | 2,33533 |
Height of the mast-head | 90 feet | Log. | 1,95424 | ||
Distance of the land Or 3,2 Miles. | 19479 feet | Log. | 4,28957 |
[page] 6
TABLE VI.
Is intended to facilitate the reduction of the sun's declination from the noon at Greenwich, for which time it is given in the Nautical Almanac, to the noon under any other meridian, or to any other time under that meridian. It has been usual in tables of this nature, to make one argument the longitude of the ship or place from the meridian of Greenwich; or the time from noon at Greenwich, and the other argument the daily difference of the sun's declination. But it was conceived that if the day of the month could be substituted for this latter argument, it would not only render the reduction more short and easy, but also answer some other useful purposes: particularly it would greatly facilitate the operation of correcting latitudes given in the journals of such seamen as had not themselves attended to this particular, which is absolutely necessary to be done before such latitudes can be used in the construction of maps and charts, and in forming geographical tables. In constructing this Table, the daily difference of the sun's declination was taken for every day throughout a period of four years, including leap year, and the first, second, and third years following it: a mean of the daily differences for every four corresponding days was made out from these; and the greatest difference between any one of these means and any one of the four daily differences of which it was compounded was too trifling to be mentioned. The principal error arose from the sun's unequal motion in the ecliptic, on which account he is not at equal distances from the equinoxes' at equal intervals of time from the days on which they happen, and, consequently, the daily change in the sun's declination on the corresponding days in the several quarters is not the same: the difference, however, between any one of the numbers here put down, which result from taking a mean of the four, and any one of the extremes of which it was formed, never exceeded 16 or 17 seconds, and therefore this Table is sufficiently exact for all nautical purposes, for which alone it was intended. The use of the Table is as follows:
Take the sun's declination from page II. of the Nautical Almanac, for noon at Greenwich, on the day following, if the given time be less than 12 hours; but for noon on the day following, if it be more.
If the time at Greenwich be given, enter Table VI. of the Requisite Tables with the time from the nearest noon at the top, and the day of the month in one of the side columns; opposite to which, and under the time, stands the correction of the sun's declination.
If the time be noon under a meridian which is not that of Greenwich, find the longitude of the place at the top of the Table, and the day of the month in one of the side columns; opposite to which, and under the longitude, stands the correction of the declination on that account.
If the declination be wanted for any other time than noon, and under a meridian which is not the meridian of Greenwich, both these corrections must be applied, and they must be added to, or subtracted from the sun's declination for noon at Greenwich, according to the directions which stand at the top of the column where the day of the month is found.
EXAMPLE I.
What was the sun's declination, at 19h 17′, on the 14th of November, 1795, under the meridian of Greenwich?
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November 14th, at 19h 17′, is 4h 43′ before noon on the 15th. | ||||
Sun's declination for noon at Greenwich, November 15th, | 18° | 34′ | 41″ | S. |
In Table VI. 4h 43′ before noon, November 15th, give | - | 2 | 51 | |
Sun's declination November 14th, at 19h 17′ | 18 | 31 | 50 | S. |
EXAMPLE II.
What was the sun's declination on the 3d of May, 1795, at noon, in 117° E. longitude?
Sun's declination for noon at Greenwich, May 3d, | 15° | 44′ | 46″ | N. |
In Table VI. 117° of E. Longitude on May 3d, give | - | 5 | 55 | |
Sun's declination May 3d, at noon in 117° E. longitude | 15 | 38 | 51 | N. |
EXAMPLE III.
What was the sun's declination on the 10th of June, 1795, at 7h 38′, in longitude 87° W.?
Sun's declination for noon at Greenwich, June 10th, | 23° | 02′ | 45″ | N. |
87° W. longitude on the 10th of June, give in (Table VI.) | + | 1 | 11 | |
7h 38′ after noon, June 10th, give in Table VI. | + | 1 | 33 | |
Sun's declination June 10th, at 7h 38′ in longitude 87° W. | 23 | 5 | 29 | N. |
SCHOLIUM.
The correction of the declination found in this manner will, generally, be true within 10 or 12 seconds: but if, the time be afternoon, and the longitude west, and considerable; or if the time be morning, and the longitude great, and east, the result will be less exact. In these cases, as well as when the utmost exactness is required turn the longitude into time, by Table XIV. and if it be west add it to, but if it be east, subtract it from the time which the declination is wanted for, and it will be the time at Greenwich: Then, as 24h is to this time, so is the daily variation of the sun's declination in the Ephemeris to a number of minutes and seconds, which being added to the declination at the preceding noon, if the declination be increasing, or subtracted from it. if the declination be decreasing, will give the declination at the given time.
In every operation, where one time is taken from another, add 24 hours to the time you subtract from, if the time which is to be taken from it be the greater, and the remainder must be reckoned from the noon of the preceding day: when one time is added to another, if the sum exceed 24 hours, take 24 hours from it, and the remainder must be reckoned from the noon of the following day.
TABLE VII.
Contains the right ascensions in time, and the declinations of sixty of the principal fixed stars, for the beginning of the year 1796, with their annual
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variations both in right ascension and declination. If the places of these stars are wanted for any time after the beginning of the year 1796, multiply the annual variation both in right ascension and declination by the number of years that have elapsed since that time; to the product add such part of the annual variation as is passed of the current year, and the sum will be the variation from the beginning of 1796 to the given time. This variation must always be added to the right ascension for 1796; but the variation in declination must be added or subtracted, according as the sign + or - is found against the annual variation in the last column of the Table, to give the right ascension and declination for succeeding years. If the places of the stars be wanted for any time before the beginning of the year 1796, the variation in right ascension must be subtracted from the right ascension must be subtracted from the right ascension found in the Table, and the variation in declination must be applied with a contrary sign to that which is put against it.
TABLE VIII.
Contains the correction of the moon's apparent altitude for the joint effects of parallax and refraction. It is to be entered with the apparent altitude of the moon's center in the top column, and her horizontal parallax in the left-hand side column, and directly under the former, and opposite to the latter, stands the correction sought; which is always to be added to the apparent altitude of the moon's center to obtain the true.
TABLE IX.
This Table contains certain logarithms which were contrived by the late Mr. Dunthorne to facilitate the computation of the effects of parallax and refraction on the distance of the moon from the sun or a fixed star. As some considerable improvements have been made in this mode of reducing the distance, it was thought proper to extend this Table, as well as Table VIII. which conduces also to the same purpose, to every tenth second of the moon's horizontal parallax. The logarithms in this Table are the arithmetical complements of the differences between the logarithmic co-sines of the moon's true and apparent altitudes, increased by 120, which number is uniformly the difference between the logarithmic co-sine of the true and apparent altitudes of a fixed star, or any other celestial object which is not sensibly affected by parallax; that object being more than 25° high. At altitudes less then 25° this uniformly ceases, and the difference of the sines is less than 120 by the numbers contained in Table XI. consequently the arithmetical complements in Table IX. must be lessened by the numbers contained in that Table. Table IX. depends on the same arguments, and the logarithms are taken out of it exactly in the same manner as the numbers are out of Table VIII.
TABLE X. AND XI.
The numbers in Table X. are to be subtracted from the logarithms taken out of Table IX. when the moon's distance from the sun is observed. The difference of the logarithmic co-sines of the true and apparent altitudes of the sun being less than 120 by the these differences, on account of the sun's altitude being sensibly affected by parallax, as well as refraction. The numbers in Table XI. are to be used instead of those in Table X. when the moon's distance from a fixed star is observed.
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TABLE XII.
This table contains the moon's parallax in altitude to every minute of her horizontal parallax. It is to be entered with the moon's horizontal parallax at the top, and her altitude in the left-hand side column: under the former, and opposite the latter, stands the moon's parallax in altitude, to the nearest minute. It is of use in reducing the apparent distance of the sun and moon, or of the moon and a star to the true distance, by Mr. Lyon's method, as given in the first edition of the Requisite Tables, but is not used in the improvement of that method, given in this edition; Table VIII. being used in its stead.
TABLE XIII.
Is also useful in Mr. Lyon's method of reducing the apparent distance of celestial objects to the true. Those also who use Mr. Witchell's method of reducing the distance, may take the third correction out of this Table.
TABLE XIV.
This Table is very useful for converting degrees and minutes of the equator into time, and the contrary. The method of using it is too obvious to need pointing out.
TABLE XV.
This Table, which was first given by Dr. Maskelyne, Astronomer Royal, in the first edition of these Tables, is analogous to the common tables of logistical logarithms: but continued to three degrees, or hours, which are here made the radius of the Table, instead of one degree, or hour, as hath been usual in other tables of this kind. By this means it is peculiarly adapted to the purpose of finding the apparent time at Greenwich, by comparing the observed distance of the moon and sun, or of the moon and a fixed star, when reduced to the true, with the same distance, put down in the Nautical Almanac for every three hours, under the meridian of Greenwich. In taking the logarithms out of this table, the table, the degree, or hour, and the minutes to either, must be looked for at the top of the page, and the seconds in the left-hand side-column; under the former, and opposite to the latter, stands the logarithm sought.
These logarithms are also useful on other occasions, where a proportion is to be worked, in which two or more of the terms are sexagesimals, and do not exceed three degrees, or three hours.
TABLE XVI.
Is intended to facilitate the solution of the problem for finding the latitude of a ship at sea, having the latitude by account, two observed altitudes of the sun, the time elapsed between the observations,. measured by a common watch, and the sun's declination. The solution of this very useful problem, on these principles, was first invented by Mr. Cornelis Douwes, examiner of the sea officers and pilots by the appointment of the right honourable College of Admiralty at Amsterdam, about the year 1740. He sent his papers and Table, constructed upon them, to the Lords Commissioners of the English Admiralty; and was
b
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rewarded with 501 by the Commissioners of Longitude∗. It has since been found that it may be usefully applied in the solution of other problems, for which purpose the column, intitled log. rising, has been extended to 9 hours. In the Nautical Almanac of 1797, 1798, 1799, and 1800, three tables are given, with rules adapted to them, by the Rev. John Brinkley, Andrew's Professor of Astronomy, near Dublin, to improve this method, and render it move general; which are also added at the end of these Tables, being Tables XXIII. XXIV. and XXV.
TABLE XVII.
Is a Table of natural sines, which are wanted in computing the latitude of a ship at sea by means of the preceding table: They will also be found useful on some other occasions, as well be shewn in the course of the following rules and examples.
TABLE XVIII.
Contains the logarithms of natural numbers, from 1 to 10,000; and to five decimal places of figures, which is as far as they are generally wanted in the practice of navigation. This index must be prefixed by the computer, and is always less by unity than the number of integral figures in the natural number.
TABLE XIX.
The logarithmic sines, tangents, and secants, have been found abundantly sufficient for the general purposes of navigation, when printed to five places of figures, beside the index: accordingly, the tangents and secants are exhibited to no greater length in this Table, But it was thought expedient to print the sines and co-sines to six places of figures, beside the index, for the convenience of such gentlemen as chuse to use that improvement of Mr. Dunthorne's method of reducing the apparent distance of the sun and moon, which is inserted in Problem XI. of this book, because the reduced distance cannot be had true to the nearest second by that method with fewer. Moreover, in order to facilitate the taking out of the sines to single seconds, the differences of those sines to 100″ are printed in two small columns adjoining to them, and denominated Diff. 100″, and D. so that by multiplying this difference by the number of odd seconds, cutting of the two right-hand figures of the product, and adding the remaining ones to the right-hand figures of the sines of the even minute, or subtracting them from the co-sines of the even minute, will give the logarithmic sine, or co-sine, for the degrees, minutes, and seconds proposed.
EXAMPLE I.
Suppose it were required to find the log. sine of 24° 16′ 48″.
The diff. to 100″ is | 467 |
Multiply by | 48 |
3736 | |
1868 | |
Add | 224,16 |
Log. sine of 24° 16′ | 9,613825 |
Log. sine of 24° 16′ 48″ | 9,614049 |
EXAMPLE II.
Find the log. co-sine of 74° 16′ 34″.
The diff. to 100″ is | 748 |
Multiply by | 34 |
2992 | |
2244 | |
Subtract | 254,32 |
Log. co-sine of 74° 16′ | 9,433226 |
Log. co-sine of 74° 16′ 34″ | 9,432972 |
* A more extended table of the same kind was afterward presented to the Commissioners of Longitude by the late Admiral Campbell, from which the present table was printed.
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On the contrary, if the degrees, minutes, and seconds be wanted to a given logarithmic sine, or co-sine, look for that sine which is next less, or the co-sine which is next greater than the given one; against which stand the degrees and minutes. Take the difference between the sine, or co-sine thus found, and the given one; add two cyphers to it, divide this number by the difference to 100″, and the quotient will be the seconds to be annexed to the degrees and minutes found before.
EXAMPLE I.
Find the degrees, minutes, and seconds corresponding to the log. sine 9.614049.
The given sine is | 9.614049 |
Sine next less (24° 16′) | 9.613825 |
The difference is | 224 |
Two cyphers being added, makes 22400; and if this be divided by 467, the difference to 100″, the quotient will be 48″, to be annexed to 24° 16′ the answer is therefore 24° 16′ 48″.
EXAMPLE II.
Find the degrees, minutes, and seconds corresponding to the log. co-sine 9.432968.
The given co-sine is | 9.432968 |
Co-si. next greater (74° 16′) | 9.433226 |
The difference is | 258 |
Two cyphers being added, makes 25800; and if this be divided by 748, the difference to 100″, the quotient will be 34″, to be annexed to 74° 16′ the answer is therefore 74° 16′ 34″.
But that this additional place of figures may not embarrass those who want five places only, the sixth place is separated from the others by a point; by which means the five first places, after the index, are taken out as readily as if the sixth was not there: with this caution, however, that when the sixth figure exceeds 5, the preceding figure, or last of the five, must be increased by unity.
TABLE XX.
As the moon passes the meridian of any place later every day than she did the day before, by a number of minutes, which is equal to the difference of the variation of the sun and moon's right ascensions in time, in the interval, it is obvious that the moon must pass the meridians of such places as lie to the westward of Greenwich later, and the meridians of such places as are to the eastward of Greenwich sooner, than the passes the meridian of Greenwich by a number of minutes, which is to the number of minutes in the above-mentioned difference, as the distance of that meridian from the meridian of Greenwich is to 360°. And because it is frequently of use at sea, to know the time of the moon's passage over the meridian, usually called her southing; the time by which she passes over the meridian, usually called her southing; the time by which the passes the meridian of any place, before or after the time when she passes the meridian of Greenwich, is inserted in this table. The table is to be entered at the top with the daily variation of the moon's passing the meridian, and in the left-hand side-column with the longitude of the ship or place: under the former, and opposite the latter, stands a number, which being added to the time of the moon's passing the meridian of Greenwich, if the longitude be west; or subtracted from it, if the longitude be east; will give the time of its passage over the meridian of the given place.
Note. The daily variation of the moon's passing the meridian is found by taking the difference between the time of the moon's passage over the meridian of Greenwich on the proposed day, and the day following, if the longitude of the ship or place be west; or between the time of her passage on the proposed day and that preceding it, if the ship or place be in east longitude.
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TABLE XXI.
This table is useful in finding the moon's declination, at a given place and time, from her declination given in the Nautical Almanac for noon and midnight at Greenwich. The manner of using it is this: Turn the longitude of the ship or place into time; and if it be west, add it to, but if it be east, subtract it from the time at the given place, and it will give the time at Greenwich. Take the moon's declination out of the Nautical Almanac for noon or midnight on the given day, according as the time at Greenwich is less or greater than 12h: enter the table with the variation of the moon's declination in 12h in the top column, and the time at Greenwich in the right-hand side-column, if that time be less than 12h, but with its excess above 12h, if it exceed that quantity: under the former, and opposite the latter stands the correction of the moon's declination; which must be added to her declination for noon, or midnight, at Greenwich, if the declination be encreasing, but subtracted from it if the declination be decreasing; and the sum, or difference, will be the moon's declination at the given time.
EXAMPLE I.
What is the moon's declination May 3d, 1796, at 7h 22′ in long. 57° west?
Time at the ship, or place | 7h | 22′ |
Long. in time W. add | 3 | 48 |
Time at Greenwich | 11 | 10 |
Moon's declin. at noon | 7° | 42′ S. |
Tab. XXI. under 2° 34′ and opp. 11h 10′ gives | 2 | 24 |
Moon's declination required | 5 | 18 S. |
EXAMPLE II.
What is the moon's declin. April 4th, 1796, at 17h 47′ in long. 162° west?
Time at the Ship, or place | 17h | 47′ |
Long. in time W. add | 10 | 48 |
Time at Green. on the 5th | 4 | 35 |
Moon's declin. at noon | 10° | 24′ S. |
Tab. XXI. under 2° 25′ and opp. 4h 35′ gives | 0 | 56 |
Moon's declin. required | 9 | 28 S. |
EXAMPLE III.
What is the moon's declination Feb. 23d, 1796, at 19h in long. 67° east?
Time at the ship, or place | 19h | 0′ |
Long. in time E. subt. | 4 | 28 |
Time at Greenwich | 14 | 32 |
Moon's declination at midn. | 8 | 44 N. |
Tab. XXI. under 2° 22′ and opp. 2h32′ gives | - | 30 |
Moon's declin. required | 8 | 14 N. |
EXAMPLE IV.
What is the moon's declination June 30th 1796, at 4h 49′ in long. 114° E.?
Time at the ship, or place | 4° | 49′ |
Long. in time E. subt. | 7 | 36 |
Time at Greenwich 29th | 21 | 13 |
Moon's declin. at midnight | 6 | 52 N. |
Tab. XXI. under 2° 36′ and opp. 9h 13′ gives | +2 | 00 |
Moon's declin. required | 8 | 52 N. |
The moon's right ascension may also be found by the help of this table, if it be entered at the top with half the variation of her right ascension in 12h: the number found in the Table must be doubled, and added to the right ascension at noon or midnight.
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TABLE XXII
This table will be found very useful in finding the sun's right ascension for any given time, either before or after noon, under the meridian of Greenwich, from the right ascensions of the sun, given in page II. of the Nautical Almanac, for noon at that place; and also in finding the sun's right ascension at noon under any other meridian. It will also greatly facilitate the finding the same thing for any time under any given meridian, by combining the two former considerations. The table must be entered at the top with the daily variation of the sun's right ascension, and in the left-hand column with the given time from noon, or with the ship's longitude in the right-hand column; under the former, and opposite the latter, stands a number of minutes and seconds to be added to the sun's right ascension for noon at Greenwich, if the time be after noon, or the longitude of the ship be west; but to be subtracted from it, if the time be before noon, or the longitude of the ship be east.
EXAMPLE I.
What is the sun's right ascension at noon May 24th, 1796, in longitude 124° east?
Sun's R.A. for Noon at Greenwich | 4h | 7′ | 40″ |
Tab. XXII. with daily diff. 4′ 2″ and east long. 124° gives | - | 1 | 24 |
Sun's R.A. at Noon in long. 124° | 4 | 6 | 16 |
EXAMPLE II.
What was the sun's right ascension January 16th, 1796, at 6h 48′ A.M. in longitude 68° west?
6h A.M. is 5h 12′ before Noon.
Sun's R.A. for Noon at Greenwich | 19h | 52′ | 50″ |
Tab. XXII. & 4′ 17″ daily variation | 68° W. gives | + | 48 |
5h 12 gives | - | 55 | |
Sun's R.A. for given time and place | 19 | 52 | 43 |
EXAMPLE III.
What is the sun's right ascension on July 21ft, 1796, at 9h 42′ P.M. at Greenwich?
Sun's R.A. for Noon at Greenwich | 8h | 5′ | 50″ |
Tab. XXII. with daily diff. 3′ 59″ and 9h 42′ P.M. gives | + | 1 | 36 |
Sun's R.A. at 9h 42′ P.M. | 8 | 7 | 26 |
EXAMPLE IV.
What was the sun's right ascension August 21ft, 1796, at 9h 17′ P.M. in longitude 167° east?
Sun's R.A. for N. at Greenwich | 10h | 4′ | 42″ |
Tab. XXII. & 3′ 42″ daily variation 167° E. gives | - | 1 | 43 |
9h 17′ gives | + | 1 | 26 |
Sun's R.A. for given time and place | 10 | 4 | 25 |
TABLES XXIII. XXIV. AND XXV.
These Tables have been already explained under Table XVI. to which they are an appendix.
TABLES XXVI. XXVII. AND XXVIII.
These three Tables were given by the Rev. Dr. Maskelyne, Astronomer Royal, in the Nautical Almanac for 1772, to facilitate that method of reducing the apparent distance of the moon from the sun or a star to the true, which stands first in the resolution of the twelfth problem, and which was invented by him. Table XXVI. contains a logarithm which is to be taken out with the star's apparent altitude. Table XXVII. contains a logarithm to be taken out with the sun's apparent altitude; and Table XXVIII. contains a number of minutes and seconds, to be taken out with the moon's apparent altitude, and also with the sun or star's apparent altitude.
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TABLE XXIX.
An exact knowledge of the geographical situation of places is of the utmost importance, especially to sea-faring persons: it has therefore been thought proper to add a table of those places, of which the situations are supposed to be known with tolerable exactness; either from astronomical observations made there, or from good geographical surveys.
The table is divided into seven columns; the first contains the names of the several places, digested in alphabetical order; the second contains the part of the world; the third the country, coast, or sea where they are; the fourth the latitude; the fifth and sixth the longitude, in degrees, and in time, reckoned from the meridian of Greenwich; and in the seventh are put down the times of high water on the days of the full and change of the moon, at those places where it has been observed.
THE
PROBLEM I.
To find the Latitude of a Ship at Sea, from the observed meridional Altitude of the Sun's Limb.
RULE.
Take the sun's declination from page II. of the Nautical Almanac by the help of Table VI. or the Scholium annexed to the explanation of it, and note whether it be north or south.
Correct the observed altitude of the sun's limb, by subtracting the dip of the horizon (Tab. II.) and refraction (Tab. I.) from it, and by adding the parallax in altitude (Tab. III.) to it, also by adding to it or subtracting from it the semi-diameter (p. III. Nautical Almanac) according as the lower or upper limb was observed, and you will have the true altitude of the sun's center.
Take the true altitude from 90°, and it will leave the true distance from the zenith; which is north if the zenith was north of the sun at the time of observation, but south if it was south of it.
If the sun's zenith distance and its declination be both north, or both south, add them together; but if one be north, and the other south, subtract the less from the greater; and the sum or difference will be the latitude, of the same name with the greater.
EXAMPLE.
July 24th, 1799, longitude 54° W. the meridional altitude of the sun's lower limb was observed to be 79° 44′ ¼, the zenith being north of the sun, and the observer's eye 24 feet above the surface of the sea: what was the latitude?
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Sun's declination for noon at Greenwich | 19° | 51′ | 12″ | N. |
Correction for 54° W. longitude, (Table VI.) | - | 2 | 02 | |
Sun's declination for longitude 54° W. | 19 | 49 | 10 | N. |
Meridional altitude Sun's lower limb | 79 | 44 | 15 | N. |
Dip of the horizon | - | 4 | 40 | |
Apparent altitude Sun's lower limb | 79 | 39 | 35 | |
Refraction | - | 10 | ||
Parallax in altitude | + | 2 | ||
Sun's semidiameter | + | 15 | 48 | |
True altitude of the Sun's center | 79 | 55 | 15 | |
90 | 00 | 00 | ||
Sun's true zenith distance | 10 | 04 | 45 | N. |
Sun's declination | 19 | 49 | 10 | N. |
Latitude | 29 | 53 | 55 | N. |
SCHOLIUM.
It has been usual to divide the rule for this problem into different cases; but the necessary for such division arose wholly from considering, improperly, the zenith of the places as a fixed point, instead of the sun.
PROBLEM II.
To find the Latitude of a Ship at Sea, from the observed meridional Altitude of a fixed Star.
RULE.
Take the star's declination out of Table VII. for the given year.
Correct the observed altitude of the star by subtracting the dip of the horizon, (Tab. II.) and the refraction (Tab. I.) from it, which will leave the true altitude. Take the true altitude from 90°, and it will leave the true distance from the zenith, which is north or south, according as the zenith was north or south of the star at the time of observation.
Then, if the zenith distance and declination be both north or both south, add them together; but if one be north and the other south, subtract the less from the greater, and the sum of difference will be the latitude, of the same name with the greater.
EXAMPLE.
September 26th, 1798, the meridional altitude of Sirius was observed to be 17° 14′ ¾, the zenith being north of the star, and the height of the observer's eye 21 feet: what was the latitude?
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Years since 1796 | 2, 75 | Star's merid. alt. | 17° | 14′ | 45″ |
Yearly variations | 4, 35 seconds. | Dip of the horizon | - | 4 | 22 |
Refraction | - | 3 | 02 | ||
1375 | |||||
825 | Star's true altitude | 17 | 07 | 21 | |
1100 | 90 | 00 | 00 | ||
11, 9625=0′ 12″ + | True zenith distance | 72 | 52 | 39 N. | |
Star's declin for 1796 | 16 26 47 S. | Star's declination | 16 | 26 | 59 S. |
Star's declin for 1798 | 16 26 59 S. | Latitude | 56 | 25 | 40 N. |
PROBLEM III.
To find the Latitude of a Ship at Sea, from the observed meridional Altitude of the Moon's Limb.
RULE.
To the longitude of the given place, in time, add the number from Table XX. corresponding to that longitude and the daily variation of the moon's passage over the meridian, and take the sum from the time of the moon's passage over the meridian on the given day, (Nautical Almanac, p. VI.) if the longitude be east, but add it to the time of her passage if the longitude be west, and the sum or difference will be the time at Greenwich, when the moon was on the meridian of the given place.
To this time take the moon's horizontal parallax and semidiameter from page VII. of the Nautical Almanac, and her declination from p. VI. noting whether it to be north or south.
Correct the observed altitude of the moon's limb by subtracting the dip of the horizon (Tab. II.) from it, and by adding the correction of her altitude (taken out of Table VIII. with the moon's horizontal parallax, and the altitude of her limb corrected for the dip) and also her semidiameter, if the lower limb was observed, or by subtracting her semidiameter from it, if the upper limb was observed, which will give the true altitude of her center. Take the true altitude from 90°, and it will leave her distance from the zenith, which will be north or south, according as the zenith was north or south of the moon at the time of observation.
Then, if the zenith distance and declination be both north or both south, add them together; but if one be north and the other south, subtract the less from the greater, and the sum or difference will be the latitude; of same name with the greater.
EXAMPLE.
August 3d, 1796, longitude 174° W. the meridional altitude of the moon's lower limb was observed to be 67° 42′ ½, the zenith being north of the moon, and the height of the observer's eye 23 feet, what was the latitude?
Longitude 174° W. in time | 11h | 36′ |
Correction from Table XX. | + | 26½ |
Sum | 12 | 2½ |
The moon souths at | 0 | 16 |
Time at Greenwich | 12 | 18½ |
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Moon's declination at midnight | 17° | 26. | |
Correction for 0h 18′ ½ | 3 | ||
Moon's declination | 17 | 23 N. | |
Moon's semidiameter 16′ 20″. Moon's horizontal parallax 59′ 57″ | |||
Meridional altitude Moon's lower limb | 67° | 42′ | 30″ |
Dip of the horizon, subtract | 4 | 34 | |
Apparent altitude of the Moon's limb | 67 | 37 | 56 |
Correction from Table VIII. add | 22 | 26 | |
Moon's semidiameter add | 16 | 20 | |
Moon's true altitude | 68 | 16 | 42 |
90 | 00 | 00 | |
Moon's zenith distance | 21 | 43 | 18 N. |
Moon's declination | 17 | 23 | 00 N. |
Latitude | 39 | 6 | 18 N. |
SCHOLIUM.
If the meridional altitude of a circumpolar star be observed when it is below the pole, or the meridional altitude of the sun or moon at midnight, in any place where it does not set; then, if to such altitude, properly corrected, there be added the polar distance of the sun, moon, or star, that is the complement of its declination, the sum will be the latitude of the place; of the same name with the declination.
PROBLEM IV.
To find the Latitude of a Ship at Sea, having the Latitude by Account, two observed Altitudes of the Sun, the Time elapsed between the Observations, measured by a common Watch, and the Sun's Declination.
RULE.
To the log-secant of the latitude by account, add the log-secant of the sun's declination: their sum, rejecting 20 from the index, is the Log-ratio.
From the natural sine of the greater altitude, taken out of table XVII. subtract the natural sine of the least altitude; find the logarithm of the remainder, and write it under the log-ratio.
With half the elapsed time, enter table XVI.; and, from the column of half-elapsed time, take out the logarithm answering to it, which must also be put under the log-ratio.
Add these three logarithms together, and look for their sum in table XVI. in the column of middle time; and, having found the logarithm nearest to it, take out the time corresponding, put it under half the elapsed time, and subtract the less from the greater: their difference will be the time from noon when the greater altitude was taken.
With this time enter the tables again, and from the column of log-rising, take out the logarithm corresponding to it: from this logarithm subtract the log-ratio, and the remainder will be the logarithm of a natural number, which being found in table XVIII. and added to the natural sine of the greater altitude, will give the natural sine of the meridional altitude of the sun.
From the meridional altitude of the sun the latitude of the ship is to be found in the usual manner.
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SCHOLIUM I.
If the latitude found by the preceding rule differ considerably from the latitude by account, the operation must be repeated, using the latitude last found instead of the latitude by account, until the result give a latitude which agrees nearly with the latitude used in the computation.
EXAMPLE I.
July 19th, 1797, Latitude by account 38° 3′ N. Longitude 111° W. at 0h 30′ 15″ by watch, the altitude of the sun's lower limb was observed to be 70° 58′, and at 1h 26′ 28″ it was 63° 47′ ¼, what was the latitude; the height of the observer's eye being 22 feet?
Altitude sun's lower limb 1st obs. | 70° | 58′ | 00″ | Second | 63° | 47′ | 15″ |
Dip of the horizon | - | 4 | 28 | - | 4 | 28 | |
Refraction | - | 19 | - | 28 | |||
Semidiameter | + | 15 | 48 | + | 15 | 48 | |
Sun's parallax | + | 3 | + | 4 | |||
True Altitude | 71 | 9 | 4 | 63 | 58 | 11 |
Sun's declination for noon at Greenwich | 20° | 45′ | 01″ N. |
Time of observation 1h after noon tab. VI. | 29 | ||
Longitude 111° W. (tab. VI.) | 3 | 36 | |
Sun's declination for the given place and time | 20 | 40 | 56 N. |
EXAMPLE II.
November 20th, 1796, latitude by account 50° 40′ N. longitude 85° W. at 10h 17′ 30″ by my watch, the alt. of the Sun's lower limb was observed to be 17° 4′ ¼, and at 11h 17′ 30″ the alt. of the same limb was 19° 31′ ¾; what was the latitude, the height of the observer's eye being 21 feet?
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Alt. ☉'s lower limb 1st obs. | 17° | 4′ | 15″ | Second | 19° | 31′ | 45″ |
Dip of the horizon | - | 4 | 22 | - | 4 | 22 | |
Refraction | - | 3 | 04 | - | 2 | 39 | |
Semidiameter | + | 16 | 15 | + | 16 | 15 | |
Sun's parallax | + | 8 | + | 8 | |||
True altitude | 17 | 13 | 12 | 19 | 41 | 07 |
Sun's declination for Noon at Greenwich | 19° | 56′ | 52″ | S. |
Longitude 85° W. (table VI.) | + | 3 | 02 | |
Time of observation before noon 1h 13′ give | - | 39 | ||
Sun's declination for the given time and place | 19 | 59 | 15 | S. |
As the latitude resulting from this computation differs 40 miles from the latitude by account, the operation must be repeated, using the last found latitude instead of that by account.
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34199 | N.S. Mer alt. | 20° | 00′ | 00″ |
90 | 00 | 00 | ||
Zenith distance | 70 | 00 | 00 N. | |
Declination | 19 | 59 | 15 S. | |
Latitude | 50 | 00 | 45 N. |
SCHOLIUM II.
In the preceding examples it has been supposed that both altitudes were taken at the same place; but as that can seldom happen at sea, it is necessary to shew how to correct one of the altitudes so as to make it what it would have been if observed at the same place where the other was, which may be done as follows:
Let the bearing of the sun be observed by the compass, at the instant of the first observation; take the number of points between it and the ship's course, corrected for lee-way, if she makes any; with which, if less than 8 points, or with what it wants of 16 points, if more than 8, and the distance run between the observations, enter the Traverse Table, and take out the difference of latitude corresponding to them. Add this difference of latitude to the first altitude, if the number of points between the sun's bearing, and the ship's course were less than 8; but subtract it from the first altitude if the number of points were more than 8, and it will be reduced to what it would have been if observed at the same place where the second was.
Note. The result of the operation will be the latitude of the ship at the time when the second altitude was taken, and must be reduced to noon by means of the log.
EXAMPLE I.
November 19, 1795, being at sea, in longitude 8° W. and latitude 47° 34 N. by account, at 9h 55′ 30″ by my watch, the altitude of the 's lower limb was observed to be 17° 24′, and the bearing of it's center by compass S. by E. ¼ E. and at 12h 54′ 10″ the altitude of the same limb was 21° 45′ ½ the height of the observer's eye being 20 feet. The ship's course between the observations was E ½ S by the compass, at the rate of 7 knots, and the made no lee-way; what was the latitude when the latter observation was taken?
Skip's course | S. | 7½ | points E. | Sun's dec. for N. at Greenwich | 19° | 33′ | 1″ S. |
Sun's bearing | S. | 1¼ | E. | 35′ bef. noon in Tab. VI. give | - | 19 | |
Angle between them | 6¼ | give D.L. 7′ 07. | 8° W. in Tab. VI. give | + | 18 | ||
Distance run | 21′ | ||||||
Sun's true declination | 9 | 33 | 0 S. |
Alt. ☉'s L. L. 1st obs. | 17° | 24′ | 00″ | Second | 21° | 45′ | 30″ |
Cor. for alter. of Sta. 7,07 | + | 7 | 04 | ||||
17 | 31 | 04 | |||||
Dip of the horizon | - | 4 | 16 | - | 4 | 16 | |
17 | 16 | 48 | 21 | 41 | 14 | ||
Refraction | - | 3 | 00 | - | 2 | 23 | |
17 | 23 | 48 | 21 | 38 | 51 |
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17 | 23 | 48 | 21 | 38 | 51 | ||
Semidiameter | + | 16 | 15 | + | 16 | 15 | |
17 | 40 | 03 | 21 | 55 | 06 | ||
Parallax | + | 8 | + | 8 | |||
True altitude | 17 | 40 | 11 | 21 | 55 | 14 |
As the latitude resulting from this computation differs 13 miles from that by account, the operation must be repeated, using the last found latitude instead of that by account.
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EXAMPLE II.
May 3, 1795, being at sea, in longitude 4° W. and latitude 27° 20′ S. by account, at 0h 19′ 14″ by my watch, the observed altitude of the sun's lower limb was 47° 01′. and the azimuth of its center by compass, N. N. E. ¼ E. and at 1h 14′ 39″, the observed altitude of the same limb was 44° 6′ ½. The ship's course between the observations was N. by W. ¾ W. on the starboard tack, at the rate of 6 knots, and she made ¾ of a point lee-way: what was the true latitude, the height of the observer's eye being 21 feet?
Ship's course by comp. | N. 1¾ W. | Sun's dec. at Greenw. | 15° | 44′ | 46″ N. | |
Lee way | ¾ | 47′ aft. N. table VI. give | + | 36 | ||
4° W. in tab. VI. give | + | 12 | ||||
Ship's course corrected | N. 2½ W. | |||||
Sun's bearing | N. 2¼ E. | Sun's true declination | 15 | 45 | 34 N. | |
Angle between them | 4 ¾ | D. Lat. 3,27=3′ 17″. | ||||
Distance run | 5,5 |
Alt. of the sun's lower limb 1st observation | 47° | 1′ | 00″ | second | 44° | 6′ | 30″ |
Correction for difference of ship's station | + | 3 | 17 | ||||
47 | 4 | 17 | |||||
Dip of the horizon | - | 4 | 22 | - | 4 | 22 | |
46 | 59 | 55 | 44 | 02 | 08 | ||
Refraction | - | 53 | - | 59 | |||
46 | 59 | 02 | 44 | 01 | 09 | ||
Semi-diameter | + | 15 | 54 | + | 15 | 54 | |
47 | 14 | 56 | 44 | 17 | 03 | ||
Parallax | + | 6 | + | 7 | |||
True altitude | 47 | 15 | 02 | 44 | 17 | 10 |
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73562 N. S. Meridian altitude | 47° | 21′ | 35″ |
90 | 00 | 00 | |
Zenith distance | 42 | 38 | 25 S. |
Declination | 15 | 45 | 34 N. |
Latitude | 26 | 52 | 51 S. |
As the latitude resulting from this computation differs 27′ from the latitude by account, the operation must be repeated, using the last found latitude instead of the latitude by account.
SCHOLIUM III.
When the latitude and declination are of the same name, and the latitude greater than the complement of the declination, the sun's altitude may be observed on the meridian, below the pole, at midnight: or the latitude may be found by two altitudes of the sun, taken either before or after midnight. its declination the latitude by account, and the time which elapses between the observations, in a manner scarcely different from that which has been already given for finding it when the altitudes are taken before, or after noon; for the three first articles of the rule are exactly the same. And, having added the three logarithms together, found the middle time corresponding to the sum, and taken the difference between it and the half-elapsed time, that difference will be the time from midnight when the less altitude was observed.
With this time enter table XVI. and from the column of log-rising, take the logarithm corresponding to it: from this logarithm subtract the log-ratio, and the remainder will be the logarithm of a natural number, which being found in table XVIII. and subtracted from the natural sine of the least altitude, will give the natural sine of the meridional altitude of the sun below the pole.
To the meridional altitude of the sun add the complement of its declination,
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and the sum will be the latitude; subject, however, to the caution given in scholium I.
EXAMPLE.
June 10th, 1795, latitude by account 81° 30′N. longitude 47° E. at 9h 33′ 8″ by my watch, the altitude of the sun's lower limb was observed to be 16° 3′¼; and at 11h 16′ 48″ the altitude the same limb was 14° 36′¼, the height of the observer's eye being 18 feet above the surface of the sea: what was the true latitude of the ship?
Sun's declination | 23° | 02′ | 45″ | N. | 1st altitude | 16° | 03′ | 15″ | 2d alti. | 14° | 36′ | 15″ |
Cor. for 47° E. | - | - | 38 | Dip | - | 4 | 3 | - | 4 | 3 | ||
23 | 02 | 07 | ☉'s app. alt. | 15 | 59 | 12 | 14 | 32 | 12 | |||
Cor. for 10h25′P.M | + | 2 | 6 | Refraction | - | 3 | 17 | - | 3 | 37 | ||
True declination | 23 | 4 | 13 N. | 15 | 55 | 55 | 14 | 28 | 35 | |||
☉'s par. in alt. | + | 8 | + | 9 | ||||||||
15 | 56 | 03 | 14 | 28 | 44 | |||||||
☉'s semidiam. | + | 15 | 48 | + | 15 | 48 | ||||||
☉'s true alt. | 16 | 11 | 51 | 14 | 44 | 32 |
Remark I. The operation is the same whether the sun hath north to south declination: and also whether the ship be in north or south latitude.
Remark II. When the sun hath no declination, the secant of the latitude will be the log. Ratio.
Remark III. The observations must always be taken between nine o'clock in the morning and three in the afternoon; and the nearer the greater altitude is to noon the better.
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Remark IV. If both observations are in the forenoon, the interval must not be much less than the distance of the first observation from noon.
Remark V. If the both observations are in the afternoon, the interval between them must not be much less than the distance of the first observation from noon.
Remark VI. If one observation be in the forenoon, and the other in the afternoon, the interval must not exceed four hours and an half.
Remark VII. The above limitations are founded on a supposition that the sun's meridional zenith distance, is not less than the latitude of the place; but if the latitude of the place should be double the sun's meridional zenith distance, the first of two altitudes taken in the forenoon must not be before half past nine, nor the second before three quarters past ten. The first of two taken in the afternoon must not be later than a quarter past one, nor the second after half past two. If one be taken in the morning and the other in the afternoon; that in the morning must not be taken before half past nine o'clock, and the interval between them must not exceed three hours and an half.
Remark VIII. If the latitude of the place be three times the sun's meridional zenith distance, the first of two observations taken in the forenoon must not be before ten o'clock, nor the second before eleven. The first of two taken in the afternoon must not be later than one o'clock nor the second after two. If one observation be taken in the forenoon, and the other in the afternoon; that in the morning must not be before ten, and the interval between them must not exceed three hours.
Remark IX. If the latitude be five times the sun's meridional zenith distance, the first of two observations taken in the forenoon must not be before half past ten o'clock, nor the second before a quarter after eleven. The first of two taken in the afternoon must not be later than three quarters past twelve, nor the second later than half past one o'clock. If one be taken in the forenoon, and the other in the afternoon, the morning one must not be before half past ten, and the interval between them must not exceed two hours and a quarter.
Remark X. This method should never be used when the sun passes the meridian within two degrees of the zenith.
If the preceding remarks be attended to, the latitude found by the calculation will be, at least, five times nearer the truth than the latitude by account, that is, the error in the computed latitude will not be above a fourth part of the difference between them: and hence a judgment may be formed whether it will be necessary to repeat the computation with the latitude last found, or not.
PROBLEM V.
To correct the Latitude, found by the last Problem, after one Computation.
INTRODUCTION.
The latitude may generally be found from two observed altitudes of the sun and the interval of time between them by one operation, as directed in the foregoing problem; but when the computed latitude differs five minutes, or more, from the latitude by account; instead of repeating the operation, as is directed to be done there, it is here proposed to correct is by tables XXIII, XXIV, and XXV; as the operation will not only be more concise,
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but will produce a true result in cases where the other fails, on account of the computed latitudes not approaching nearer and nearer to the true latitude, or not approximating toward it sufficiently fast.
RULE.
From the two observed altitudes of the sun, its declination, the elapsed time, and the latitude by account; compute the latitude by problem IV.
With the sun's declination and the computed latitude take the number from table XXIII. and take the sum of this number and unity when the latitude and declination are of different names: but take the difference between this number and unity when the latitude and declination are of the same name, and call the sum or difference A.
With the time from noon when the greater altitude was taken at the top, and the middle time in the side column, take the number from table XXIV. or XXV. according as the observations are on the same or different sides of noon; divide A by this number, and call the quotient B.
When the observations are on the same side of noon, and the declination of a different name from the latitude, or being of the same name, is less then the latitude:—also when the observations are on different sides of noon, and the declination of the same name with the latitude, but greater than it, add unity to B, and divide the difference between the computed latitude and latitude by account by the sum; the quotient will be the correction of the computed latitude: to be added to it when the computed latitude is less than the latitude by account; but subtracted from it when it is greater.
When the observations are on the same side of noon, and the declination is of the same name with the latitude, but greater than it: —or, when the observations are on different sides of noon and the declination is either of a contrary name to the latitude, or of the same name, and less than it, take the difference between B and unity, and divide the difference between the computed latitude and latitude by account by it: the quotient will be the correction of the computed latitude; to be applied to it according to the following rules.
B greater less than I, and compu. lat. greater less than the lat. by acc. add.
B greater less than I, and compu. lat. less greater than the lat. by acc. subtract.
Note. The observations are on the same, or different sides of noon or midnight, according as the middle time is greater or less than half the elapsed time.
EXAMPLE I.
Let the first altitude be 41° 33′ 12″, the second 50° 1′ 12″ (both in the morning), the interval between them 1h 30′ the latitude by account 52° 50′ N. and the sun's declination 14° 00′ N.
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By the fourth problem the computed latitude will be 52° 2′ 17″ N. the middle time 1h 47′ and the time nearest noon 1h 2′.
EXAMPLE II.
Let the first altitude be 50° 1′ 12″, before noon, the second 41° 33′ 12″. afternoon, the interval between them 3h 30′, the latitude by account 51° 30′ N. and the sun's declination 14° 00′ N.
By the fourth problem the computed latitude will be 52° 4′ 24″ N., the middle time 0h 44′ 28″, and the time nearest noon 1h 00′ 32″.
EXAMPLE III.
Let the first altitude be 70° 2′, the second 35° 21′, both in the morning, the interval between them 2h 20′, the latitude by account 6° 30′ N. and the sun's declination 5° 30′ N.
By the fourth problem the computed latitude will be 8° 5′ N. the middle time 2h 29′ 37″, and the time nearest noon 1h 19′ 37″.
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As the latitude and declination are here of the same name, and nearly equal, it will be prudent to repeat the operation directed in the fourth problem, using the last-found latitude, 7° 28′½ N. for the latitude by account; and the computed latitude will be found 7° 29′ N. which, as it differs but half a minute from the latitude by account, may be relied on, as the true latitude.
Note. It would have taken seven operations by the common method to obtain the latitude within 10′ of the truth.
EXAMPLE IV.
Let the first altitude be 5° 36′ 6″, and the latter 45° 5′ 42″, both in the morning, the interval between them 3h 00′, the latitude by account 27° 00′ N. and the sun's declination 12° 00′ N.
By the fourth problem the computed latitude will be 30° 5′ 53″ N. the middle time 4h 25′ 6″, and the time nearest noon 2h 55′ 6″
But as the computed latitude differs more than two degrees from the latitude by account, it may be proper to repeat the operation directed by the fourth problem, using the last-found latitude, 28° 00′ ⅔ N. for the latitude by account; and the computed latitude will come out 27° 59′ 30″ N. the middle time 4h 30′ 2″, and the time nearest noon 3h 0′ 2″. We may, therefore, correct it a second time.
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The true latitude could never have been come at by repeating the operation, as directed in the fourth problem, because the observations are taken here a long way without the limits which that method is confined to.
SCHOLIUM.
When the latitude has been computed from two altitudes of the sun, taken either on the same, or different sides of midnight, as in the third scholium to the fourth problem: take the sum of unity and the number from table XXIII for the number A.
With the time from midnight when the less altitude was taken at the top, and the middle time in the side column, take the number from table XXIV, or XXV, according as the observations are on the same, or different sides of midnight, divide A by this number, and call the quotient B.
When the observations are on the same side of midnight add unity to B, and divide the difference between the computed latitude and the latitude by account by the sum; the quotient will be the correction of the computed latitude: to be added to it when the computed latitude is less than the latitude by account, but subtracted from it when it is greater.
When the observations are on different sides of midnight, take the difference between B and unity, divide the difference between the computed latitude and latitude by account by it, and the quotient will be the correction of the computed latitude: to be applied to it according to the following rules:
B greater less than I, and compu. lat. greater less than the lat. by account, add.
B greater less than I, and compu. lat. less greater than the lat. by acct. subtract.
EXAMPLE.
Let the first altitude be 16° 12′, the second 14° 44′ 30″, both before midnight, the interval between then 1h 43′ 40″, the latitude by account 80° 41′ N. and the sun's declination 23° 4′ N.
By the fourth problem the computed latitude will be 81° 34′ 34″ N. the middle time 1h 26′ 11″, and the time nearest midnight 0h 34′ 21″.
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CAUTIONS.
I. When the latitude by account and that computed differ more than two degrees, or when the declination and latitude are nearly equal, and of the same name; after the computed latitude has been corrected by this method, it may be proper, for the sake of safety, to repeat the operation directed by the fourth problem, using the latitude, once corrected, as the latitude by account, and the correcting the latitude, re-computed, by these tables, if it be necessary.
II. In high latitudes, when the middle time is more than three hours, and the latitude by account very erroneous, it will also be prudent to repeat the operation directed by the fourth problem, using the latitude once corrected by this method as the latitude by account, and then correcting the last-found latitude by these tables, if it be necessary.
III. When B happens to be nearly equal to unity, and their difference is to be taken for a divisor of the difference between the computed latitude and latitude by account; or when the latitude and declination (of the same name) are so nearly equal that it is uncertain whether the true latitude be greater or less than the declination, this method cannot be depended on.
GENERAL OBSERVATION.
Except in the particular cases above mentioned, it is unnecessary to use a second operation: however, as a second operation, using the latitude corrected for the latitude by account, will always be a check upon the first, it is recommended, in general, to use a second operation, as a satisfactory proof that no mistake has been made in the first.
PROBLEM VI.
The Latitude and Longitude of a Place, and the observed Altitude of the Sun's Limb being given, together with the Time of Observation nearly, to find the apparent Time when the Observation was made.
RULE.
From the observed altitude of the sun's limb, subtract the dip of the horizon, and the refraction, and add the semidiameter, and parallax in altitude to the remainder; the sum will be the true altitude of the sun's center.
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Take the sun's declination from p. II. of the Nautical Almanac, and note whether it be north or south.
If the sun's declination and the co-latitude of the ship be one north and the other south, take their difference; but if they be both north, or both south, take their sum for the sun's meridional altitude. If that sum be greater than 90°, take it from 180°.
From the natural fine of the sun's meridional altitude (tab. XVII.) take the natural sine of the sun's true altitude at the time of observation, find the logarithm of the remainder; to which add the logarithmic secant of the ship's latitude, and the logarithmic secant of the sun's declination: their sum, rejecting 20 from the index, must be fought for in table XVI, under log-rising; and the time corresponding to it will be the apparent time from the nearest noon: consequently, if the observation be made in the morning, the time thus found must be taken from 24 hours, and the remainder will be the apparent time from the noon of the preceding day.
EXAMPLE.
July 8th, 1795, about 20h, latitude 34° 55′ N. longitude 12°½ E. the observed altitude of the sun's lower limb was 36° 49′½; the observer's eye being 21 feet above the surface of the sea: what was the apparent time when the observation was made?
Altitude sun's lower limb | 36° | 49′ | 30″ | ||||
Dip of the horizon 4′22″ | - | 5 | 38 | ||||
Refraction - 1 16 | |||||||
36 | 43 | 52 | |||||
Sun's parallax in altitude | + | 7 | |||||
Sun's semi-diameter | + | 15 | 47 | ||||
Sun's true altitude | 36 | 59 | 46 | ||||
Sun's declination, July 9th, | 22° | 21′ | 57″ | N. | |||
12°½ E. longitude give | + | 16 | |||||
4h before noon give | + | 1 | 18 | ||||
Sun's declination | 22 | 23 | 31 | N. | Log-secant | 10,03405 | |
Co-latitude | 55 | 05 | 00 | N. | Log-co-secant | 10,08619 | |
Sun's meridional altitude | 77 | 28 | 31 | Nat.sine | 97620 | ||
True observed altitude | 36 | 59 | 46 | Nat.sine | 60176 | ||
Difference | 37444 | Log. | 4,57338 | ||||
Time from noon | 3h | 58′ | 23″ | Log. rising | 4,69362 | ||
24 | 0 | 0 | |||||
Apparent time | 20 | 01 | 37 |
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PROBLEM VII.
The Latitude and Longitude of a Place, and the observed Altitude of a known fixed Star being given, together with the Time of Observation nearly, to find the apparent Time at that Place.
RULE.
If the time at Greenwich be not given, turn the longitude into time, and if it be west, add it to, but if it be east, subtract it from the estimated time at the ship when the star's altitude was observed, and it will give the time at Greenwich.
To this time take the sun's right ascension from page II. of the Nautical Almanac, by the help of table XXII, and take the star's right ascension, and declination for the given year out of table VII.
Subtract the dip of the horizon, and the refraction from the observed altitude of the star, and the remainder will be its true altitude.
If the star's declination and the co-latitude of the ship be one north and the other south, take their difference; but if they be both north, or both south, take their sum for the star's meridional altitude. If the sum exceed 90 degrees, take it from 180 degrees.
From the natural sine of the star's meridional altitude take the natural sine of its true observed altitude, and find the logarithm of the remainder. To this logarithm add the log-secant of the ship's latitude, and the log-secant of the star's declination; their sum, rejecting 20 from the index, must be fought for in table XVI, under log-rising, and the time corresponding to it will be the distance of the star from the meridian; which being added to the star's right ascension in time, if the star was west of the meridian at the time of observation, or subtracted from it if the star was then east of the meridian, will give the right ascension of the mid-heaven.
From the right ascension of the mid-heaven subtract the sun's right ascension, and the remainder will be the apparent time when the observation was made.
EXAMPLE.
April 21st, 1797, about 40′ after seven o'clock, latitude 51° 27′ N. longitude 58° W. the altitude of Arcturus, east of the meridian, was observed to be 30° 13′¾ the height of the observer's eye being 19 feet: what was the apparent time?
Estimated time | 7h | 40′ | Sun's ![]() |
1h | 58′ | 35″ | |
Longitude in time | 3 | 52 | W. | 11h 32′ in table XXII gives | + | 1 | 47 |
Time at Greenwich | 11 | 32 | Sun's ![]() |
2 | 00 | 22 | |
*'s ann. variation in ![]() |
2,79 | *'s annual variation in declination | 19,09 | ||||
Years since 1796 | 1, 3 | 1,3 | |||||
837 | 5727 | ||||||
279 | 1909 | ||||||
3, 627 | 0′ 25″= | 24,817 | |||||
*'s ![]() |
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PROBLEM VIII.
The apparent Time, and the Ship's Latitude and Longitude being given, to find the Sun's apparent Altitude.
RULE.
Take the sun's declination from page II. of the Nautical Almanac.
If the sun's declination and the co-latitude of the ship be one north and the other south, take their difference; but if they be both north or both south, take their sum for the sun's meridional altitude. If that sum be greater than 90°, take it from 180°.
With the apparent time from noon enter table XVI, and take the logarithm corresponding to it out of the column of log-rising, to which add the co-sine of the latitude, and the cosine of the sun's declination: their sum, rejecting 20 from the index, will be the logarithm of a natural number, which being subtracted from the natural sine of the meridional altitude, will give the natural sine of the sun's true altitude, at the given time. Add the difference between the sun's refraction and its parallax in altitude to the true altitude, and it will give the sun's apparent altitude.
EXAMPLE.
Required the sun's apparent altitude on the 24th of November, 1795, at 3h 21′ 30″ apparent time, lat. 51° 32′ N. long. 38° E.
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PROBLEM IX.
The apparent Time, and the Latitude and Longitude of the Ship being given, to find the apparent altitude of any known fixed Star.
RULE.
Turn the longitude of the ship into time, and if it be west add it to, but if it be east subtract it from the apparent time at the ship, and it will give the time at Greenwich.
Take the sun's right ascension for the time out of the Nautical Almanac, by the help of table XXII. and add it to the apparent time at the ship, counted as usual from the preceding noon; the sum will be the right ascension of the mid-heaven. Take the star's declination and right ascension out of table VII. and take the difference between its right ascension and the right ascension of the mid-heaven, which will be the distance of the star from the meridian.
If the star's declination and the co-latitude of the ship be one north, and the other south, take their difference; but if they be both north, or both south, take their sum for the star's meridional altitude. If the sum exceed 90°, subtract it from 180°.
With the distance of the star from the meridian take the log-rising out of table XVI. to which add the co-sine of the ship's latitude, and the co-sine of the star's declination; their sum, rejecting 20 from the index, will be the logarithm of a natural number, which being subtracted from the natural sine of the meridional altitude of the star, will give the natural sine of the star's true altitude. Add the refraction to the true altitude, and the sum will be the apparent altitude to the star at the given time.
EXAMPLE.
What was the apparent altitude of Aldebaran on the 12th of April, 1797, at 5h 56′ 20″ apparent time, in latitude 51° 32′ N. longitude 123°¼ E.?
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PROBLEM X.
The apparent Time and the Latitude and the Longitude of the Ship being given, to find the apparent Altitude of the Moon's Center.
RULE.
Turn the longitude of the ship into time, and if it be west add it to, but if it be east subtract it from the apparent time at the ship, it will give the time at Greenwich.
To this time take the sun's right ascension from page II. of the Nautical Almanac by the help of table XXII. and add it to the apparent time at the ship, counted from the preceding noon, which will give the right ascension of the mid-heaven. Take also the moon's horizontal parallax from page VII. and its declination and right ascension from page VI. by help of table XXI. Turn the right ascension into time, and take the difference between it and the right ascension of the mid-heaven, which will be the distance of the moon from the meridian.
If the moon's declination and the co-latitude of the ship be one north and
c 2
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the other south, take their difference; but if they are both north, or both south, take their sum for the moon's meridional altitude. If the sum exceed 90 degrees take it from 180 degrees.
With the distance of the moon from the meridian take the log-rising out of table XVI, to which add the co-sine of the ship's latitude, and the co-sine of the moon's declination; their sum, rejecting 20 from the index, will be the logarithm of a natural number, which being subtracted from the natural sine of the moon's meridional altitude, will give the natural sine of the moon's true altitude at the given time.
With the moon's horizontal parallax and her true altitude, diminished by the number which stands against them in table VIII, take the correction of her altitude out of that table, and subtract it from her true altitude, which will give the apparent altitude of the moon's center.
EXAMPLE.
What was the apparent altitude of the moon's center on the 26th of Feb. 1795, at 5h 49′ 58″ apparent time, in latitude 39° 54′½ N. and longitude 116° 24′¼ E.?
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PROBLEM XI.
Having the apparent, or observed Distance of the Moon from the Sun or a fixed Star, together with the observed Altitude of each, and the Moon's horizontal Parallax, to find their true Distance.
RULE.
First method, by the Rev. Dr. Maskelyne, Astronomer Royal.
I. Enter table XXVIII with the moon's apparent altitude, and take out a number of minutes and seconds, which subtract from the moon's horizontal parallax, and you will have the moon's horizontal parallax diminished.
II. To the log. tangent of half the difference of the apparent altitudes of the moon and star (or sun) add the log. co-tangent of half their sum, and rejecting ten from the index, you will have the log. tangent of arc the first.
III. To the log. tangent of arc the first, just found, add the log. co-tangent of half the distance of the moon and star (or sun) and, rejecting ten, you will have the log. tangent of arc the second.
IV. If the star's (or sun's) altitude be greater than the moon's take the sum of arc 2d, and half the distance of the moon and star (or sun); but if the moon's altitude be greatest, take the difference of arc 2d and half the distance, and you will have arc the third.
V. To the log. tangent of arc 3d add the log. tangent of the moon's apparent altitude; the sum, rejecting ten from the index, is the log. co-sine of arc fourth.
VI. With the star's apparent altitude take a logarithm out of table XXVI, or with the sun's apparent altitude take a logarithm out of table XXVII, to which add the constant logarithm 0,3010, and the log. sine of the moon's apparent altitude; the sum, rejecting ten from the index, is the proportional logarithm of a number of minutes and seconds, to be added to the moon's horizontal parallax diminished, which will give her horizontal parallax corrected.
VII. To the logarithm taken out of table XXVI, or table XXVII, according as the moon's distance was taken from a star or the sun, add the co-tangent of double arc the first, and the sine of double arc the second, reject 20 from the index, and you have the proportional log. of the effect of refraction, or first correction of distance, which is always to be added to the observed distance.
VIII. To the proportional logarithm of the moon's horizontal parallax corrected add the log. co-secant of the moon's apparent altitude and the log. co-tangent of arc 3d; the sum, abating 20 from the index, is the proportional logarithm of the principal effect of parallax, or 2d correction of distance; which is always to be subtracted from the observed distance corrected for refraction, except the moon's altitude be greater than that of the star (or sun) and, at the same time, arc 2d be greater than half the distance, in which case it is to be added.
IX. To the constant log. 1,5820 add the log tangent of the distance of the moon from the star (or sun) twice corrected, double the secant of the moon's altitude, double the co-secant of arc 4th, and double the proportional logarithm of the moon's horizontal parallax diminished; the sum, rejecting 50 from the index, is the proportional logarithm of the third correction of distance; and is always to be added to the distance of the star (or sun) from the moon's center twice corrected, except the distance exceeds 90 degrees, in which case it is to be subtracted.
X. Enter table XXVIII with the star's (or sun's) altitude, take out the
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corresponding number and double it; to the proportional logarithm of which, add the proportional logarithm of the third correction (found by the preceding article) the arithmetical complement of the proportional logarithm of the moon's horizontal parallax diminished (found by article I,) and the log. co-sine of the distance twice corrected. the sun of these four logarithms, rejecting 20 from the index, is the proportional logarithm of the fourth and last correction of distance, and is always to be added to the distance of the star or sun from the moon's center thrice corrected.
These four corrections being applied, according to the rules, to the apparent distance of the moon from the star or the sun's center, the true distance will be obtained clear of the effects of refraction and parallax.
EXAMPLE I.
Let there be given the apparent distance of the moon from a star 43° 35′ 42″, the apparent altitude of the star 11° 17′, the apparent altitude of the moon 9° 38′, and her horizontal parallax 54′ 42″, to find their true distance.
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EXAMPLE II.
Let the apparent distance of the moon from the sun be 103° 29′ 27″ the apparent altitude of the sun 19° 3′ 36″, that of the moon 41° 6′ 2″, and her horizontal parallax 58′ 35″: what was their true distance?
Second method, or Mr. Lyons's improved.
1st. To the proportional logarithm of the star's refraction, or the difference between the sun's refraction and its parallax in altitude, add the co-sine of the sun or star's apparent altitude, the sine of the apparent distance of the moon from the sun of star, and the co-secant of the moon's apparent altitude; their sum, rejecting 30 in the index, will be the proportional logarithm of the first arc.
2d. To the proportional logarithm of the star's refraction, or the difference
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between the sun's refraction and its parallax in altitude, add the co-tangent of the sun or star's altitude, and the tangent of the apparent distance of the moon from the sun or star; their sum, rejecting 20 in the index, will be the proportional logarithm of the second arc.
3d. If the apparent distance be less than 90°, take the difference between the first and second arcs, which must be added to the apparent distance, if the first arc be greater than the second, but subtracted from it, if the second arc be greater than the first: if the apparent distance be greater than 90°, the sum of the two arcs must be added to the apparent distance, to give the distance corrected for the refraction of the sun or star.
4th. Take the correction of the moon's altitude out of table VIII. to the proportional logarithm of which, add the co-sine of the moon's apparent altitude, the sine of the distance corrected for the sun or star's refraction, and the co-secant of the sun or star's true altitude; their sum, rejecting 30 in the index, will be the proportional logarithm of a third arc.
5th. To the proportional logarithm of the correction of the moon's altitude add the co-tangent of the moon's apparent altitude, and the tangent of the distance, corrected for the sun or star's refraction; their sum, rejecting 20 in the index, will be the proportional logarithm of a fourth arc.
6th. If the distance, corrected for the sun or star's refraction, be less than 90°, take the difference between the third and fourth arcs, which difference must be subtracted from the distance, corrected for the sun or star's refraction, if the third arc be greater than the fourth; but it must be added to it if the fourth arc be greater than the third: if the distance, corrected for the sun or star's refraction, be greater than 90°, the sum of the two arcs must be subtracted from it to obtain the distance corrected for the sun or star's refraction, and principal effect of the moon's parallax.
7th. Enter table XIII. under the apparent distance, corrected for sun or star's refraction and principal effect of parallax, in the top column, with the correction of the moon's altitude in the left-hand side column, and take out the number of seconds which stand under the former and opposite to the latter. Enter it again under the same corrected distance in the top column, and opposite to the principal effect of the moon's parallax in the left-hand side column, and do the like: the difference of these two number must be added to the distance, corrected for the sun or star's refraction and the principal effect of the moon's parallax, if the distance, so corrected, be less than 90°; but it must be subtracted from it, if that distance be greater than 90°, and the sum or difference will be the true distance of the objects.
SCHOLIUM.
It will greatly expedite the computation if all the logarithmic sines, tangents, amp;c. which fall at the same opening of the book, be taken out at the same time, whether they relate to the first or second parts of the operation: thus, the co-sine and co-tangent of the star's apparent altitude, and co-secant of its true altitude may all be taken out at the same time, and written down in different parts of the paper; and so also may the co-sine, co-tangent, and co-secant of the moon's apparent altitude; the sine and tangent of the apparent distance; and the sine and tangent of the distance, corrected for the refraction of the sun or star.
EXAMPLE I.
Admit that the apparent altitude of a star was 24° 48′, when that of the
Citation: John van Wyhe, ed. 2002-. The Complete Work of Charles Darwin Online. (http://darwin-online.org.uk/)
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