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A896    Beagle Library:     Wood, James. 1825. The elements of algebra: designed for the use of students in the University. 8th ed. Cambridge: Deighton and Son, and T. Stevenson; London: J. Mawman.   Text
CONTENTS. PAGE ON Vulgar Fractions 1 On Decimal Fractions 16 Signs used in Algebra 24 The Addition of Algebraical Quantities 29 Subtraction 32 Multiplication 33 Division 38 On Algebraical Fractions 42 Involution and Evolution 51 Simple Equations 64 Quadratic Equations 79 On Ratios 91 On Proportion 95 On Variation 103 On Arithmetical Progression 109 On Geometrical Progression 111 On Permutations and Combinations 115 The Binomial Theorem 117 On Surds 123 The Nature of Equations 135 The
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A896    Beagle Library:     Wood, James. 1825. The elements of algebra: designed for the use of students in the University. 8th ed. Cambridge: Deighton and Son, and T. Stevenson; London: J. Mawman.   Text
Let a + b be the quantity to be raised to any power. If b be negative, or the quantity to be involved be a - b, wherever an odd power of b enters, the sign of the term must be negative (Art. 114.) Hence, (118.) Evolution, or the extraction of roots, is the method of determining a quantity which raised to a proposed power will produce a given quantity. (119.) Since the nth power of am is amn, the nth root of amn must be am; i. e. to extract any root of a single quantity, we must divide the
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A896    Beagle Library:     Wood, James. 1825. The elements of algebra: designed for the use of students in the University. 8th ed. Cambridge: Deighton and Son, and T. Stevenson; London: J. Mawman.   Text
By involution, where the odd terms involve the same surd that x does, because c is an odd number, and the even terms, the same surd that y does; and since no part of a can consist of y, or it's parts (Art. 255), and b = hence, a - b = xc - therefore, by evolution, (258.)The square root of a binomial, one of whose factors is a quadratic surd, and the other rational, may sometimes be expressed by a binomial, one or both of whose factors are quadratic surds. Let a + b the given binomial, and
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A896    Beagle Library:     Wood, James. 1825. The elements of algebra: designed for the use of students in the University. 8th ed. Cambridge: Deighton and Son, and T. Stevenson; London: J. Mawman.   Text
). (112.) COR. Hence it appears, that a quantity may be transferred from the numerator of a fraction to the denominator, and the contrary, by changing the sign of it's index. Thus, ON INVOLUTION AND EVOLUTION. (113.) If a quantity be continually multiplied by itself, it is said to be involved, or raised; and the power to which it is raised, is expressed by the number of times the quantity has been employed in the multiplication. D 2. [page] 5
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A896    Beagle Library:     Wood, James. 1825. The elements of algebra: designed for the use of students in the University. 8th ed. Cambridge: Deighton and Son, and T. Stevenson; London: J. Mawman.   Text
representatives; and the involution or evolution of numbers, by multiplying or dividing their logarithms by the indices of the powers or roots required. [page] 22
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A826    Beagle Library:     Scrope, George Julius Poulett. 1825. Considerations on volcanos: the probable causes of their phenomena, the laws which determine their march, the disposition of their products, and their connexion with the present state and past history of the globe. Leading to the establishment of a new theory of the earth. London: W. Phillips.   Text   PDF
moments, by the rise of fresh bubbles, or volumes of elastic fluids, which escape in a similar manner; and it is evidently this incessant evolution of aeriform substances in vast quantities, which preserves the lava invariably at so great an elevation, within the cone of Stromboli, and constitutes the permanent phenomena of its eruptions. In this instance there evidently exists within and below the cone of Stromboli, a mass of lava, of unknown dimensions, permanently liquid, at an intense
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A826    Beagle Library:     Scrope, George Julius Poulett. 1825. Considerations on volcanos: the probable causes of their phenomena, the laws which determine their march, the disposition of their products, and their connexion with the present state and past history of the globe. Leading to the establishment of a new theory of the earth. London: W. Phillips.   Text   PDF
neighbouring rocks are, from the continued shifting of the fumaroles, extensive and remarkable, and have acquired for such spots the common appellation of Solfataras or Souffri res. These usually are found in the interior of a volcanic crater, as might be expected; since the evolution of vapours from a current of lava that has flowed away from the volcanic vent upon the surface of the earth, must be extremely limited in quantity and duration; whereas, after most eruptions, a vast body of heated
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A735    Beagle Library:     Murray, John. 1826. Experimental researches on the light and luminous matter of the glow-worm, the luminosity of the sea, the phenomena of the chameleon, the ascent of the spider into the atmosphere, and the torpidity of the tortoise, &c. Glasgow: W. R. M'Phun.   Text
with a yellow light, accompanied by slight explosion. It is obvious, that all these exhibitions may be resolved into chemical changes, and that the change of volume either way does not influence the evolution of light. Generally, the accompaniment of light may be considered dependent on that chemical process we call combustion, as in the light from potassium heated in a medium of the vapour of iodine. In the combination of sulphur with copper, lead, potassium, sodium, c. or the alloys from
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A764    Beagle Library:     Daubeny, Charles. 1826. A description of active and extinct volcanos. London: W. Phillips.   Text
Now if water were at any time admitted to them whilst in that condition, we know from the common principles of chemistry, that a great evolution of gaseous matter must take place, and that the combination of the oxygen of the water with these inflammables would give rise to heat, sufficient to account for the liquefaction of the surrounding rocks, and all the other ph nomena attendant on an eruption. Such being the opinions respecting volcanos, which appear, at first sight, to possess the
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A735    Beagle Library:     Murray, John. 1826. Experimental researches on the light and luminous matter of the glow-worm, the luminosity of the sea, the phenomena of the chameleon, the ascent of the spider into the atmosphere, and the torpidity of the tortoise, &c. Glasgow: W. R. M'Phun.   Text
this, by some more recent experiments, would seem to be the consequence of silicious matter being present. When balls of oxygen are broken in vacuo, and the separated elements expand in the explosion of chloride and iodide of azote; and also when we expose nitrate of ammonia to a specific temperature, it is decomposed with the evolution of a beautifully coloured flame at the close, too, of the obtainment of nitrous oxyde from the nitrate of ammonia, when the temperature is raised above 500
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A735    Beagle Library:     Murray, John. 1826. Experimental researches on the light and luminous matter of the glow-worm, the luminosity of the sea, the phenomena of the chameleon, the ascent of the spider into the atmosphere, and the torpidity of the tortoise, &c. Glasgow: W. R. M'Phun.   Text
altogether of the interstitial substance through which they are diffused. The fact of the gradual and not instantaneous evolution of the light, and the gradual eclipse it suffers, seem to refer the phenomenon to the volition of the insect the intervention of a shade or contraction of the fibres on which the luminous points are suspended, or to which they are attached, would account for the occasional occultation of the light. The luminous matter heated in a platinum spoon, soon ceased to
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A735    Beagle Library:     Murray, John. 1826. Experimental researches on the light and luminous matter of the glow-worm, the luminosity of the sea, the phenomena of the chameleon, the ascent of the spider into the atmosphere, and the torpidity of the tortoise, &c. Glasgow: W. R. M'Phun.   Text
, perhaps parasitic, luminous animalcul , the evolution of light being the effect of the slight [page] 7
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A764    Beagle Library:     Daubeny, Charles. 1826. A description of active and extinct volcanos. London: W. Phillips.   Text
PHENOMENA OF AN ACTIVE VOLCANO. PAGE Aeriform fluids given out 371 Evolution of these Gases accounted for 376 Structure of a Volcanic Mountain 379 Chemical characters of Lava 381 Mineralogical characters of Lava 382 Lavas derived in general from Trachyte 383 ORIGIN OF TEACHYTE INVESTIGATED, by considering its position 384 Extraneous substances imbedded in it 385 Crystals found in it 387 General characters 388 DEPTH AT WHICH THE VOLCANIC ACTION RESIDES 389 THEORY OF VOLCANIC OPERATIONS, deduced
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A764    Beagle Library:     Daubeny, Charles. 1826. A description of active and extinct volcanos. London: W. Phillips.   Text
constant and essential ph nomenon of an active volcano, is the evolution of certain aeriform fluids, which, forcing themselves a passage through the incumbent strata, carry up with them whatever comes within the sphere of their violence, thus giving rise to ejections of stones, of ashes, and even of water. To determine the chemical nature of these gases, and to ascertain by an extensive induction of particulars, which of them are to be considered essential, and which as arising out 2 A 2 [page] 37
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A764    Beagle Library:     Daubeny, Charles. 1826. A description of active and extinct volcanos. London: W. Phillips.   Text
, which was covered by a crust of very pure sulphur, 18 inches in thickness, broken open on the northern side, through which the vapours issued. * Is not this what Livy refers to, when he speaks of clouds of wool being seen to rise from the ground at Privernum (now Piperno), Priverni lana pulla terr enata, 1. xlii. c. 2. Julius Obsequens notices a similar ph nomenon at Pr neste (Palestrina) c. 140 and c. 89. It is probable, that the evolution either of muriatic acid or of muriate of ammonia, gave
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A764    Beagle Library:     Daubeny, Charles. 1826. A description of active and extinct volcanos. London: W. Phillips.   Text
which they appear to occur: in the first place, so long as air was present, an evolution of large volumes of muriatic, sulphurous, and nitrogen gases, together with aqueous vapour, would take place; at a later period, when the oxygen was expended, sulphuretted hydrogen and carbonic acid, with a smaller quantity of muriatic acid, would appear; lastly, when all the other effects had subsided, aqueous vapour and carbonic acid might continue to be evolved. If it be asked, how we can account for the
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A764    Beagle Library:     Daubeny, Charles. 1826. A description of active and extinct volcanos. London: W. Phillips.   Text
as the first effect of the heat would be to produce a softening of the contiguous strata, it must necessarily happen, that the evolution of so large a portion of elastic matter would have the effect of bearing them up to a certain distance round the focus of the volcanic action.* This aperture would undoubtedly be filled in the first instance by the gases given off by the volcano itself, but the slightest intermittence, or even inequality in the process would occasion a partial vacuum, which
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A764    Beagle Library:     Daubeny, Charles. 1826. A description of active and extinct volcanos. London: W. Phillips.   Text
volcano. It may be remarked, that in the cases alluded to, the basalt is always seen covered by a bed of scori or some other substance, which might have prevented the too sudden abstraction of heat. There is also this further distinction. In antient volcanic products no difference of compactness or texture exists between the upper and lower portions of a bed, such as would indicate a more sudden cooling or a greater evolution of elastic matter in the superficial portions, as is generally the
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A761.06    Beagle Library:     Cuvier, Georges. 1827-35. The animal kingdom arranged in conformity with its organization. With additional descriptions of all the species hitherto named, and of many not before noticed, by Edward Griffith and others. 16 vols. London: Geo. B. Whittaker. vol. 6: Aves (1).   Text
acting on the organs in a propelling direction to the external surface in proportion as reparation takes place. This mutation or evolution of living beings is the source of the changes which their external surfaces undeigo in the different periods of their existence. These changes are of great importance to study inasmuch as' an ignorance of them has often caused the multiplication of species and confusion of sexes and distinctions in many instances where there was no real difference. The
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A761.09    Beagle Library:     Cuvier, Georges. 1827-35. The animal kingdom arranged in conformity with its organization. With additional descriptions of all the species hitherto named, and of many not before noticed, by Edward Griffith and others. 16 vols. London: Geo. B. Whittaker. vol. 9: Reptilia.   Text
The tadpole then is a young batracian, from the moment in which it issues from the egg, until, after various metamorphoses, it passes to the adult state, without preserving either its form, structure, or even its mode of living. When we examine the different periods of its evolution in the eggs of frogs, (which of all the eggs of reptiles have been the most carefully studied, as to the development of germs,) we find that during the three or four days which follow the fecundation, the tadpole
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