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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 95v

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: 0.74.

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. 96r); this page is its left half.

The machine reads it as

  1. e
  2. addy = xxdx + gydu fiat x = 2V y = Z v Ergo
  3. r-1
  4. 141ZCv d0 + aae Z BG+ aAY LD do C m in m. 1n um 2
  5. a 1
  6. e-1
  7. y2MR yM-1N
  8. (MZ
  9. er
  10. av4 eger
  11. aa
  12. L VdZ + BZM n-1
  13. du
  14. CM 1 n
  15. si ubi si divias per v21 restabunt exponentes quinque quom unu l. caleri deberent
  16. detrutalur ubique
  17. 1
  18. DeI 3n =Y+
  19. e 8
  20. V3n - 1-Y+1
  21. 3n -r +1 3n -1 - r +I 2Y+) = Y+I 2Y+n - 1 - Y +1
  22. pt sed si e melius: fiat X = v et y = Z V, et fiet
  23. 2
  24. data est aequatio andus = xxdx + gydx fiat X = se v
  25. du + v dz
  26. dx 2 e v de dy = Y7 r-1
  27. le
  28. Et exaeq. fiet YZ v a0 + v dqe = C V
  29. y.
  30. equ
  31. v do +e qqper v du
  32. ∞- 1
  33. nn
  34. fiat r-1 = 2Y + C - 1 = 3C- 1 fint Y+ e =0
  35. Et per 8 erit 7 erit Y+C= 0 et per _7 et 8 erit - e = - 3e, quod absunum
  36. Invertamus sit dus Zxxdx + gydx et X y v et y = V
  37. y ve-
  38. de
  39. et dy= Y v do et fil
  40. Et ex aeq. 1. fiit Y V de = 77V (DdZ + ez V du) + v (V dque + e ZV dn)
  41. sit jan Y = e
  42. fiet
  43. fict Y + 1Z Y ez sit jam r = e
  44. F du + gV dx + hax =o fiat g - v, pudibit ef. V v do +g y x + h du 20
  45. im
  46. fiat encTC en em e+1 _ o
  47. si sit en = em - e + 1 = 1, fiet n = m = 1 = c
  48. si sit
  49. 0 = em = e + 1 = 1 fiet M + 1 =0, seu m = 8 - 1
  50. hi et fiat et do +
  51. Cm +C - 1 = = 1, fit M = - 1
  52. en em -e2 Ex th Vex
  53. interse

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 95v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0188?run=74