Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 14r

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

The machine reads it as

  1. calculus differentialis Tronscendentis exponentis
  2. aequ. = X + X + dx
  3. jam generaliter s
  4. co
  5. ed
  6. co-
  7. 2+ dque
  8. 12 con2
  9. co-
  10. X+b aequ. X + cd b X, +C0, c0 - 1, b, X +05o.1, co-2, b gC, ex
  11. Ergo:
  12. seu
  13. a
  14. Ataz
  15. +a
  16. 2431
  17. AX + Z,a7) dx. X
  18. dx2 p (- X) .. . . . . . . .
  19. L22+3-2
  20. +Z+cZ, Zeqe - 1 dX, K
  21. infinite parva
  22. et quia q aZ aequz.
  23. V
  24. hinc
  25. destructo aZ ubi ipsi Z jungitur et de, ubi
  26. ipsi dx. jungitur, fit:
  27. 2
  28. d X aequ. Z.X de nulla facta
  29. mentione ipsius de.
  30. sit aequatio necesse est
  31. sit tamen integra
  32. faciamu
  33. aequationem integram: sed quid si sit loco A
  34. e
  35. 1
  36. 22 quantitas constans ut Y. non
  37. de aqu.x
  38. e
  39. eti
  40. hac ra tione exitus
  41. set imorum cogrtandum est differentias quantitatu
  42. progresionis glometria esse eliam progressio
  43. onis geometriae.
  44. sit Y
  45. aequ. y. erit
  46. eut du
  47. Ergo
  48. dy
  49. est.
  50. a per
  51. d rE aequod
  52. 2 ergo du dz
  53. e
  54. fY aequ. Y du 8 adinat
  55. = r3+ dZ + Y2EZ
  56. Y. Est autem T, Nmerus principalis loperichinicae
  57. 2-1 phns
  58. l7B7Y. BC
  59. nta a
  60. Y2 + Y2
  61. 1
  62. Hi
  63. -111
  64. 1 de
  65. pe
  66. ytaz, 121 2
  67. YE
  68. Cle
  69. itaque utile hoc casu jungere tre
  70. ordinatas YL. Y2+dZ Z+2dZ
  71. Z 10
  72. b rus
  73. 100
  74. mesicae
  75. 81

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068033:0027?run=73