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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 38v

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: 0.75.

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. 39r); this page is its left half.

The machine reads it as

  1. 1. +) 5 29
  2. n (+ +)
  3. -a F4
  4. 3 ((+ +) a a + 4, y)
  5. . . - . . . . . . . . 1d , (+ + ) ay (t +) + qy - da - . . . . . , 23
  6. 9 . . . . . . . . - + a9 .9 - + qY,
  7. +s (+ +) (1 +) sgay (+ f )+ +) 54y + 4ay + 4y -
  8. (+ +) p44 (1 +) dae x (+ +) daq (+ f) f dagx
  9. +49y + axy +agy + aqy x
  10. + aquy + aqy,C =4y + q YX
  11. +a
  12. (F4 +X 2 - a +4, da (+ +) da
  13. a q a (t +) a X (t+) daque t f) A at
  14. P XY, conguetur cum 14 (+ +) Xy
  15. (1)
  16. 9 + 2ag + a
  17. +9 + a
  18. +9. 13 aq +aq (7 ) (+ +) (+ +) f + (t) e sga
  19. comporetur caud f (+ ) ff (+ 4) aq
  20. +9- q +2a9 = Faq + a
  21. (+ +) f (+ +) a
  22. (t L) fy (1 +) +4y
  23. a + Cy=
  24. y - -c3.
  25. aF (y
  26. ev- Bd
  27. d +. By = v. et (y = v - d, et y = v - d, et Z B∞
  28. = 6- 5 = c. 8 tan q = a + a X. et v- dt B
  29. Ergo a = X ∞ C - =
  30. vel C = Ed, divisaque
  31. d + βy
  32. utiaque aequa homs parte per 44 fiet:
  33. +q. + x _ + C400 + cd2, vl. Jam β= -a = 4 et B = ra + 1a9+ 4
  34. 1 fier. 4
  35. . . ..---.
  36. =(+ +) c4 ∞ =
  37. =a =4 --
  38. Et quia C 0 (+ +) f (+
  39. Ergo fiet:
  40. aer raq 9
  41. (1+) da + 3
  42. +9 + X + (+ +) (+ +) f9 + 4
  43. exphicando procuculo fiet:
  44. x (+ +) (+ +) fa + a c
  45. (+ +)a
  46. = (+ +) Fdga (++) dga
  47. a +2a9 + g2
  48. ( +) da
  49. et fiei (+) da (+4) dx (+ () fy + ay 4∞ 0. ou (+ +) Ad 1a5= (+ 4) fy tay
  50. (+ F) da (4) 3a2
  51. et da +dy + fy(+ +) fav + ay
  52. et 5 = d’a
  53. d F57+ +) sa F a sd +C
  54. quod verum esse patet, cum enim E sit circuli centrum, patet esse
  55. XY (7) ad a, X, P (-a) ut DE (= d) ad DP. Tar
  56. ponendo PF = C = + f (1 +) a, vel (+ +) G+ a secuper enim
  57. Ct) cit
  58. astm
  59. + (es (+ f da (+ f) 15) syA rayi (t +) olt +)da Substibunu p (3
  60. a +q
  61. (+ +) 5dat (1 =ida. Ego ( +) da ( +) dX = py P L Xy A. C1
  62. erco
  63. + ∞D
  64. +
  65. (e (9) 5) +, - in
  66. LV
  67. 2 +4,c3 1 4
  68. ta Fa1 + qu
  69. +qu + Xy
  70. 49y q’xy
  71. +2a9. cag
  72. +aq.. ra
  73. a 2-
  74. ad +bd + ed
  75. b+c bd + cd
  76. ponatur a d b= cs
  77. ent at c. b,

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 38v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0076?run=74