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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 432r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.68.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 431v); this page is its right half.

The machine reads it as

  1. Enm sumanus differentiam senus et radii, nempe ea est 1 -0 vocemus eam d et pet
  2. 1 1 - 2y + 293 - 29+ 19. et rad arcus 1 2y, - 2 1 + 293 - 2y7 2y3 - 27 est
  3. 5+1- 2y hini nihil
  4. S mau eut s fi a et ye -8 ergo rs p a seu d 1a
  5. a p 17 5H 1-19 ay3. g p a 7 g (y. N g 27- 24 7 7 esp a. et s poeriy
  6. si tangens 19, auy a
  7. ex duplus arius erit
  8. cirgu Ea6Y ergo a a 12X et 2y expriore yt 1y-a.
  9. a H 1y-
  10. exposteriore ist e a. Ego 2y -60 pi
  11. (2)d
  12. ) v7.
  13. 0vB 27.- 193
  14. q
  15. r
  16. x
  17. arc P 2.
  18. si arc prus = 27
  19. 1x . Y - a ex 3.
  20. eut ap 7- 3 + 3 3 en
  21. jam si langens sit y. tangens arcus duli dupli H G. est SH
  22. est autem 2a p 8. 8 + 8- 8 erc.
  23. 1- y
  24. 1+
  25. 1-7
  26. + nyt etc. 1 2y . 25 + 95 8. 2y
  27. 5 6)1-y
  28. Et ita porro in infinitum, quae Hyperbolicis consonant.
  29. 2a7 1
  30. 3
  31. 2a 1 27 - 292+ 2y5 - 2y) ex.
  32. sei ra p 27 8y3
  33. 15]
  34. 4a
  35. 1 - (7)
  36. (C3)
  37. 8ac =
  38. a 7(VD a e (Cyn
  39. 1- ( 1))
  40. ar(
  41. ar y Ex aC a r (3.
  42. posterioi appropinquatione semper exactior priore. Verum notandum quod hoc modo ec non assurgi
  43. potest in infraitum nec infinituplicari potest arcus ejusdem circuli, nisi sit ipse circulus infimtai magnitudinis
  44. (H 8H, Z. ergo G 8y F, 2y. et
  45. itaque contra potius divisione utendum:
  46. Dy + 29 1 9 et V +Zy H et y + 1 y + H
  47. et y + H Sp+. a Y⊓ 19+1 -1 3
  48. 8
  49. arc 8
  50. arc 7 + (8) ure ri 4(9)
  51. 7 a 1941 -.
  52. 1is
  53. an 9 8( er
  54. angulum in data ratione secare: J sit a A 7 - 3 + y - y et.
  55. sit quaeritur sit alius arcu X B - B + 85 - D7 etC sit aB ab. erit
  56. .
  57. t
  58. bN8. 87 +95- 87 et a r 18- b0. b8 - b0 p y= 3 +3,
  59. quaentur 8.
  60. a e ari 29.
  61. jam
  62. ap
  63. a J2v. a Rey esy
  64. are
  65. api 19. 2
  66. auc 4
  67. V p 2.
  68. cop

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 432r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0859?run=74