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Leibniz-Handschriften zur Mathematik LH 35, 5, 17, fol. 6v

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: 0.77.

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. 5r); this page is its left half.

The machine reads it as

  1. a- b ab
  2. e
  3. 5+ 3Cd + 3cd = d 1a + 2lab + 1V
  4. C+ d (4)
  5. 1. 0-
  6. arb 1
  7. l a + 1D
  8. C2 + 2Cd+ 3
  9. 8 2la 15) d. Ergo c+ d6) d
  10. 3e2 1
  11. C+ 5d
  12. Ergo c+d (e
  13. a+ h, (I
  14. a +b I b Ergo E H E
  15. e
  16. cpla 3ed fplab
  17. 24, 3C+ 3c df 2 la relab
  18. 21 a(5. (7) l a + lb ex 4
  19. 3c H
  20. (11)
  21. Si aequationis, 4. Cermini in se invirem ducantur, fiet CD
  22. (+dS
  23. 1
  24. C27 2+d2
  25. +0. Ergo L
  26. C+
  27. (12
  28. 10
  29. D seu 1 (15)
  30. . per 14 et 10. Egu l a f C+ Cd
  31. feret et c la et rcd F Ib. fui d0
  32. si frissi C + 2 cd + d la +b.
  33. sed procedendo eodem modo: C+ d ( 1. ex 2 et 3 tier 26 + 260 p, p2 a + 1b. ergo eto (.1
  34. a +l
  35. c+
  36. (
  37. a+b A 2C
  38. jam ex 3 est E 8 ergo per 6 Ad 13) d ergo Ca. si aquationes 4. termini
  39. b
  40. in se invicem ducantur, fiet ODfi.
  41. Etd
  42. a+b 1 B
  43. 1
  44. Ergo (.9O2, at per y O s 2 ergo dt ante opo.
  45. aemeroli ergo calculo inverta demonstratio impo prabilitatis quandocurque exponentes. potestatum
  46. LEfferunt unitato tantum. Investigandum et in pliis casibus. Et quidem scimus impossibilitatem
  47. cum sibi propimitermini, quaeramus e cum sita a e invirem maxime, remoti, pertinent ista
  48. aad artem tentamentorum sit ergo C2+ 3Cd + 3cd + d p l4+ (b. cpsta
  49. et 3c4 126
  50. c3 +3C8 pus l a + P b seu 3C3+ 3Cd(2la + F b
  51. 2.-.
  52. c3 2d 2tab e
  53. et c+3d a+ b
  54. 2...
  55. 3C d H qu
  56. 3c0
  57. 5+ H b
  58. 3cd2 + d3 p 0. Ergo Cp . ergo 3a ergo
  59. vel a vel b negativa quod est absndum. sed si esset
  60. d B 2. et 6cd + 4cd3 + 4+, fit: 6c+ 4cd + d2 7 0. ergo
  61. 4c + 4cd +d 2c. aequatio absolute impossibilis. Sed hoc credo particulore. Supra
  62. C ex 3Cd4d310. sequitur C+d - 2c. ex 6C2+4cd + d 0. sequitur:
  63. quad C+ d = 5 C - 3 cd. at quad C+d (5a + 13 b - 3 E. 3Cd
  64. ergo Pa+ 1 ( + 4C3d + 6Cd + 4cd +d Va + Bb. quad e+d .
  65. sive: 4c3d +6Cd = 4cd + d + 13b. et 4C+6Cd +4cd +d
  66. rursus 6Cd + 4 cd + d Ergo C + 3Cd + 3cd + d
  67. et a
  68. 1138 - 3c - 3Cd-8
  69. et 4ZC A br E ergo E3B vb Ergo a vb
  70. et VC a a b
  71. b, b. a
  72. c, a-c
  73. bia
  74. a. sit a. a- b
  75. ad
  76. bC AZ

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 17, fol. 6v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068035:0012?run=73