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Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 6r

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: 0.80.

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. 7v); this page is its right half.

The machine reads it as

  1. seplema. 169 d. Huc alias cheda
  2. ejusi dgti in 4i.
  3. sit au n nsast
  4. Tunde sit u incinitus. scribam ergo
  5. edx
  6. sit dy = ydx. fit S y = Sydx. et pro
  7. Y substituendo valorem fit y =) syax x, et rursus
  8. substituendo valorem fit y = ((syax dx dx
  9. Continuando in infinitum
  10. sed
  11. Si
  12. et
  13. xull
  14. )etc ax dxdxax dx
  15. Ergo
  16. ax = x et (Cax Ax = (XAx = L XX
  17. et (((ax ex dx E perC
  18. eos
  19. (107
  20. 1 (pege = L X
  21. pag. sequenti inenistam han qgantitatam quae glibivocatur C
  22. rgo
  23. xxdu
  24. per 5, E y =
  25. infin
  26. en
  27. 23
  28. 12.2. 4. 5, 6, 7. 8L
  29. nemer y est finita orea ex insirua
  30. ABy CB, V. sit v= 1:y posito AH, 1
  31. erit HC hyperbola. st
  32. ee e
  33. di BE
  34. Debe esse BE summae omnium BC
  35. po. si y ponatur crescere a nihilo
  36. id
  37. sit X = Sudy = BE = (dy: y per n.
  38. (14
  39. seu
  40. (16)
  41. Itaque si y incipit a nihilo seu ab A seu si y = sdy
  42. ut posuium in aequ. 2 derivanda ex aeg. 1. fit s BE infim
  43. nam exprimet spatium infinitmm LFAB CF
  44. sed si y incipiat alicubi ab aliqua quantitate assumta
  45. A verbi gratia AE seu 1. fiet (ay = 1+ y. et
  46. BE seu X non exprimet totum spatim infinitum
  47. sed finitam tantum portionem HEBCH. Hinc ex
  48. ∞g. 1. per a9. 17 (loco 94. 16) habebimus coco eg. 2.
  49. 9
  50. sequentem y+ a = fyax seu y = (yax-
  51. quo valore substituto feteo. ex i in aqui
  52. 20
  53. Le
  54. ex aeq. 19. in ag. 19. fit y = sydx = 1 d
  55. 19
  56. C22
  57. seu
  58. incipst a (nihulo
  59. don Z ubi rursum
  60. x
  61. Syaxium spax= ssy ax ax
  62. substituendo valorem sit ((syax - 1dxa B =y= syx xdx x
  63. at
  64. 1.23

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 6r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068104:0011?run=73