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Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 7r

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: 0.71.

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. 6v); this page is its right half.

The machine reads it as

  1. s
  2. Ergo ssseu = X+ szax - - = Z- ext 1X + X C
  3. sex p sgd
  4. 1∞X
  5. d
  6. X dx
  7. en lx + ZdX) + ax (= dZ + X AX =0
  8. est
  9. 1-
  10. subest aliquis error
  11. axs
  12. 1-X
  13. in calculo, aliequi
  14. res essit succederet. Hinc ergo quia aliunde
  15. habentur Z
  16. et (2
  17. (set. V
  18. xdx. Utique habemus absolute
  19. et patel (. seu (ZdX
  20. seu X+ L
  21. =
  22. 1-XC
  23. du non pt.
  24. c
  25. Z X
  26. i 7 - 1+ =X + X et
  27. X
  28. L
  29. 1+ C(+ +X + L X et quod
  30. Errr potius C, dque = dx + Zdx
  31. vel
  32. C
  33. c
  34. Z= LX + X etc + sset
  35. Ex G fit differentraliter dz = dX 1tXIX etC +aO
  36. du +x en i
  37. d
  38. Ergo L dx 4+ O = X + (7dx (posito e multiplicari perde
  39. puro Unde C) = X + Sque dx - (.
  40. 1
  41. sed rursus C
  42. y
  43. -
  44. e
  45. 1g
  46. et productum summari)
  47. +x
  48. iXdx per S
  49. C utante
  50. ergo aequanto fit Z = X + sudx seu dZ = dx + Zdx
  51. Urqu veram manet
  52. Sod
  53. seu
  54. l
  55. e
  56. en zdxdxaxax et = 2 M -)
  57. posito X = C aet
  58. 1t
  59. p
  60. 12)
  61. seu
  62. = hat. de X = 10g de 1X
  63. Ax
  64. s
  65. XLog. de 14Z,
  66. Ergo 1+Z= num de X. ergo Z = n. X - 1
  67. eu Zdxdxdo et = Z - dz.
  68. seu )axdx eu = num. de X SL
  69. e
  70. . 1-
  71. +x = l.
  72. dZ
  73. 17Z

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068104:0013?run=73