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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 188r

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: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. is
  2. dy: dx = X-
  3. y
  4. a. potest haberi pea quadi Hyp. seu log. ipsius X- y.
  5. sed nunc consideremus pro dus scribarnus A (1. y et fiet etro v e
  6. do
  7. (Etro) (y) - y3a = dxys X -y sol dx constans (Ato) fiel
  8. so
  9. paro jure ((y)-fy)a ex _) - (y) seu (7) = XdX L ydx + ya,: a
  10. sit ax constans, fiet pari jure (D u)a dx, X +de fyB
  11. (y) = (Sto) X ax + ax dx = (y) dx + (y) a,: a
  12. ve C
  13. Py)) (6to) = axdx tadxdx = X cx + ydx yadx + aXdx- aydx + aaye,: aa
  14. seu (y)) (7mo)ayta X ax -24yd + adx - x dx Lyax,: aa
  15. en sic: (1) dyidx = x - y : a: seu (2do) y = Xdx- ady,: ax
  16. et Bto) dy = dx dx = addy: dx et ddu = a dy: dx. et
  17. s
  18. :ds et. Ergu abitur tande
  19. noferiem geometricam Et ita porro. Hinc patet adu esse
  20. == ad
  21. V= rli (X; a) G + alyi t
  22. V
  23. d
  24. progressionas Geometricae
  25. cntanata differe ubi rlixia simificat fongulam integiam ex X et
  26. potent continuata hiffere
  27. HHinc Genteraliter si sit
  28. satione res tautem eo reduci, ut continpata differentratione
  29. seu integre relasatam ad X et a
  30. appareat
  31. geomebria
  32. ex o
  33. d
  34. alquus differentias alicujus gradus dedi progressionis
  35. Hinc gulem
  36. inveuit potest curva.Nam
  37. A
  38. de L aa
  39. du aErgo frt
  40. 2) Log adus h - l09. ddy.
  41. e
  42. 1C2
  43. adeoq
  44. (b:a) dxdx = a day
  45. n
  46. au
  47. B
  48. et fiet
  49. (b. a) dx dx = adu + cax et denique ((b: a) dx dx-ayter
  50. te
  51. dy - 104 durd dy = 10+1y + 127y posito dx esse astantem et 10, 11,
  52. 2 haberi per X fit ddus = W dio + pdu +ydi1 + gy d12 +, sidy +2. 12. ydis
  53. et 12 ddy = +12d10 + 12 d 1 du. y ( 12412. 99) + 1. 11. 12 dy +2, 12 ydy
  54. 2
  55. 10d12
  56. udu. idu + al.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 188r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0375?run=74