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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 13r

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: 0.76.

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. 12v); this page is its right half.

The machine reads it as

  1. dy = 10 + 11V
  2. fit ddus = d10 tdIL. y + 1du. E Unde tollendo y
  3. fit ddy =. d 108 diL 10 + du dy + 11 dy sit do = dy = v de posita dx constante
  4. fit du = deo- du 10 + du v + I1V Si pro 11 ponas 11, et 10, V siut numer
  5. non magnitudines fint. dro aldus = dio dxdx
  6. . x adgatycex
  7. ex x
  8. sit dy: dx = X = Z et ficet y = Xx = Xdy
  9. ia
  10. Ady = 2X IX - dy X dx day - X dy ddx se ady - 2x dx X - x adus
  11. 1
  12. axax
  13. sit dy = vdx: a et ddys = dvdx. a, et fiat
  14. a
  15. C
  16. . Vdx: a = 2xdx - X du ubi feliciter tollitur a
  17. dy Cx = XX + yy
  18. dx
  19. a
  20. aa
  21. ita
  22. X a
  23. sit B et pos
  24. u x
  25. potita ex constante
  26. aa = extyy, dx: dy
  27. Ex aeus , faciendo dy = e vdx:a, fiet deus = dodx: a
  28. etsis d (axdxvd - 4a Xax dudod + 4 xx d = 4ded B: a - q px d w: aa
  29. ubi pro a comurdo valorem substulate YXX , yg, dxadus) in qua yn Y, v, x Av, et valorem dus hinc ductum
  30. vtterentiando habebitur aequatio, sine a, in qua v, lv, X dx sed verevrne sit identica
  31. Si ubique alte assurgant litera affectiones et a poterit tolt a
  32. faciendo y- vx: a
  33. sit X) Y y = et a
  34. aaa
  35. av
  36. fint aequatio in qua Z et a utique salte affacgent et x
  37. et X = vyi
  38. azaa sit aequatio data ag: dx = exiaa (C +97: aa
  39. fiet Ex (a7 taa s2svdv + vV adq ( Z a v2
  40. + v
  41. (a7- aa) quav , rhaq . ( 2. 1) na (qu 22a)
  42. Aet q = aW: v et fiat (aato Fagedxtvaa ds)
  43. a
  44. = eq non succedit ita
  45. unim a quidem et q ibique aequaliter assagunt, sd ubi reperiantur, sed
  46. i
  47. (aan -aa) 2dv + vaa d
  48. quibusdam terminis non extant
  49. 9 = g:a = (bzV et x. a = va 1X
  50. via
  51. y. a = b3 et y: a verra y:a = sav: v
  52. hy x = Xx+ dyv
  53. x
  54. na aa apdx
  55. x + Qusf. au
  56. aa
  57. 3
  58. Xdys - ydx
  59. ly dy

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 13r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0025?run=74