RECORD: Darwin, C. R. n.d. [table of angles (including Fibonnaci series)]. CUL-DAR51.A29. (John van Wyhe ed., 2002-. The Complete Work of Charles Darwin Online, http://darwin-online.org.uk/)

REVISION HISTORY: Transcribed and edited by John van Wyhe. RN1

NOTE: See record in the Darwin Online manuscript catalogue, enter its Identifier here. Reproduced with permission of the Syndics of Cambridge University Library and William Huxley Darwin.

A29

1/2 1/3 2/5 3/8 5/13 8/21 13/34 21/55 24 34/89 54/142 54 55/144 89/233 144/377 Real angles.

1/2    180°

1/3 — 120°

2/5 = 144°

3/8 + 135°

5/13 + 138/4615

8/21 = 137.1

13/34. = 137.6

Real Angles

21/55 34/89 55/144 89/233 144/377 233/510 377/887

 

 

Unnatural angles

 

3/7 = 154/285 &c This angle would coincide after 3 turns rond spire — so coincidence is not governing cause

2/7 = 108.86 x

3/5 = 216

4/9 = 160 x

5/12 = 150 x

                        Diff

1          2          diff. 1

1          3         

3          5          ― 2

5          8          ― 3

8          13        ― 5

13        21        ― 8

21        34        ― 13

34        55        ― 21

55        89        ― 34

A29v

 10

 

            7

 

   5

      10

            7

   5

         2

         2

 

  13

  |     |     |     |     |     | 12

 

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Citation: John van Wyhe, ed. 2002-. The Complete Work of Charles Darwin Online. (http://darwin-online.org.uk/)

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