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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 78v

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: 0.84.

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The machine reads it as

  1. (5) = 4
  2. p0 +
  3. b Lnab 23 abc 424 abcd 425 abede, )-
  4. 2 22 pa + 23p ab 1 24 abc + 25 pabid + 26 abede )
  5. = 22 ab - 23 abc - 24 ab cd - 25 abcoe
  6. D) = p0 - D 5+ (D) = pC
  7. ita accipi debet, ut plus tribuatur majori
  8. ex differentibus pC et D. vel certe cuilubet
  9. Cum sunt aequalia
  10. Erx A. Necesse est D + (D) esse afformativam
  11. si d est 1, non potest +() esse +) sed vel )
  12. D est 0, vel + est -
  13. + 22. Cab) + 23 ( abc) + R + sab c0) f. 23 sab cdC)
  14. aequ.
  15. pa - 2pab + e p abe
  16. eituleteam
  17. inveni etiam sequentia thecremata
  18. D = 101 a. F 102 ab + 103 abc +104 abcd
  19. (a) = a = p (ab) - ab = pa (abc)- abc = p ab et ita P
  20. (8) = 101 (a) + 102 (ab) + 103 sabC)
  21. Ergo ((B) - B,: p = 101. 1 + 102 a + 103 ab + 104 abc t etc.
  22. O_t
  23. (0) = X (D) = 9+ O p 20dp
  24. O2H
  25. diff. C et p ducta in, D, 1- 2D
  26. P -C in pO =0. Ergo O+ p - 2) p in pO =0
  27. C - p, in p0 = 0 Ergo
  28. Ergo O+p -20p, in D + Op (1- 2D) = Orp . 26p in D
  29. Erp (C)D) = (0) D
  30. seo non ideo
  31. 3) =
  32. Op 2p in (D)
  33. Ermo (0D) - CD, : p = Bs () D - D
  34. Eeb +a +b in ab ii aa = a et ab bb - b
  35. uut qab. L ab itaque fa + b, in ab =0, licet
  36. enim nunquam ab s non vil ab, non ideo sit 0,
  37. nec ab, ideo sit, 0, necessario tamen vel ab est 0,
  38. vel + a + b est 0. unde productum fit 0
  39. Htinc si (1() = (C) D non tequitur esse 5) esse (5)
  40. sed hoc sequitur, vet C esse 0, vet D esse (D)
  41. (D) est differentia inter D et pC
  42. (D) = +5 Y D+ p0
  43. (() est differentia inter C et p
  44. (O = 1 a +in + 13 abc + 1+ abcd
  45. (6) = 11 (a) + 12 (al) + 13(abc) + 14 (abc d) = + n a + 12 ab + B abe tera
  46. a) = a + P (ab) = ab +pa (abc) = ab e+t pat (abcd = abed + pabeterc
  47. aD
  48. ti + na +12ab + 13 abc + 14 abcd + CtC
  49. 1p +12pa + p ab + 14p abC 15 pabed
  50. et fiet 11.
  51. 20
  52. +p Qua + nab Hi3abe f 14 abid
  53. quae aequatio ientica, ergo 1141 =0 seu 1 - + 1 Ergo squadrando
  54. fit B= sed alliunde scimus esse H 1 ergo fiet
  55. +C 1 Et + si p = 1 fit 11 = + 1 debent
  56. autem veri numeri provenire, etiam cum p=1, quia sunt semper
  57. sidem jum scimus et si p = 0 nihil ex calculo dum
  58. potest. Porro scimus aliunde esse 11 = + 1 ergo
  59. 1 et aequatio erit
  60. tia + 12ab + 13abc + etC)
  61. fit 4 =
  62. HIy
  63. +H +1a + 1ab + igabe
  64. -1 + Ha 4 12 ab + 13 abc
  65. sea +n + 1a + 13 ab + 14 abc ) = C
  66. 1 - 2. Ha = 2 12ab = 2. (3abc 5
  67. Undetandem 11 = 1 1 = - 2 13- + 4, 1 - - 8 et
  68. Mlurcto
  69. vel pesto.
  70. vel a esto
  71. sed 22 non est 0
  72. Ergo vel p vel a
  73. esto

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 78v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0156?run=74