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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 254r

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: 0.81.

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. 255v); this page is its right half.

The machine reads it as

  1. 5e = 1 - 20
  2. C = na + 12 ab + 13 abc + 1ct abed + etc 51 = 11 + 12 a + 13 ab + 14 ab C + etc
  3. Fiet 11 + 12a + 13 ab + r4 abc + 15 abcd + et ~ 1 - 2. 11 a - 2 12 ab = 2. 13 abc - 2. 14 abcd - 2 etc.
  4. Ergo 11 = 1 12 = - 2. 11 13 = - 2. 12 14 = - 2. 13 et ita porro. Unde statim fit
  5. 1 = 1 12 = - 2 13 = + 4 14 - -8 15 = - 16, et ita porri
  6. 207 = 2C -2 et +CD - 1 - s - 22
  7. 2(0() = (1) - (3
  8. (DD - (3) = PC 91) - 2 9 (C) () (1) = (0) 2(0) ()
  9. (9 += st _ 3) 8 = 3. 57 = (C) (3) = () D () O + OD
  10. 2(3(D) - 30D = (C) - 0 - (1) +) - () - 3 (7
  11. D = 2 22 ab + 23 abc + 24 abed + 25 abcde + etc
  12. 2 = g22 a + 23 ab + 24 abc + 25 abed + erc
  13. Sit OD = 82 ab + 83 abc + 94 abed + etc.
  14. erit (0) (D) = 82 (ab) + 83 (abd) + 84 (abcd) + etc
  15. OD) = OD = P, 82 a + 83 ab + 84 abc+ etc (() -O = p, 1 - 2 + 4 ab B8abct erc
  16. _(7) - Y = p 22 = 23a + 4 ab f25 abc + et C
  17. +3
  18. dabit
  19. E, 8ra + 83ab + 84 abc + 85 abcd =, +1 - 2 a + 4 a b - g abc + 16 abcd
  20. 2- 2223 a - 24 ab 25 abc - 26 abcd
  21. Et rursus 82 ab + 83 abc + 84 abe + 85 abede = a - 2 ab + 4 abe - d abed
  22. - 22 a - 23 ab - 24 oc - 25 a bcd
  23. - 8 -
  24. Ex his duabus aequationibus omnia determinare, licebi:
  25. 283 A 24 284
  26. sed hae duae aequationes dant idem. et non plus praestint
  27. 2 23
  28. Ex prtore poster ore
  29. 1- 22 = 0 2. 82
  30. ∞) -9 = DC- 2pOD
  31. quam
  32. (3) = 9(0) - 29 (0))
  33. 2145 = + 16 = 26
  34. una
  35. (8)) = 3 + P0 - 2pOD + 9C + p9 - 2p 90 = 290D. - 2p 9C + p90B ((+ p C- 2p
  36. 8) DpC - 2p O5
  37. (∞) = (D) + 9(C) e 29 (03)
  38. (∞D) = OD _, : p = C = 20D
  39. fit 82 =1
  40. =
  41. ibede
  42. 83 = - 2 84 = 4+2CY
  43. +2.
  44. (2.1
  45. 36 8y - 12
  46. 27
  47. -Epr+ 4p07
  48. = 2 ab + 4 abc - 8 abed + 16 abede. OD + p3 = 2p O2
  49. - 2. 8rab = 2. 83 ab. - 2. 8 Faled - 2. 85 abede
  50. 85 =
  51. (1) () =
  52. CCDApd - 2p0)
  53. (+ Be = 2p
  54. 4y -
  55. + a)
  56. =E
  57. + 2(y) = 42
  58. seu (7)
  59. +2 + 4)
  60. et 1- 4y = 2
  61. (t3 - 8y
  62. et2, et 2- 8y seu ((2) y = 22
  63. 2
  64. (2y) =
  65. 2 -2, 12
  66. sit pinum 9 = 1 fiet ((y) = 2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 254r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0507?run=74