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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 117r

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: 0.83.

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

The machine reads it as

  1. AB, X
  2. BC, 9
  3. undeto
  4. s curva differentialiter
  5. Sala seu sit dy: dx = fia
  6. posito f dari ex X, y, ai
  7. C si
  8. (2do
  9. fietq
  10. Xx + yi = 2Z,
  11. seu Ctio) Xdx + ydy = ZdZ
  12. seu ex 3 et 1 fret
  13. fit (5t0) dx = az d2 f: ax+ sy
  14. jam b dydgn dxdu In d
  15. et dy = fZdZ: ax+ fy
  16. jam (7mo) dxdx + dy dy = dz dZ + dede
  17. Ergo per 5 et 6 in 7 fiet
  18. (aa + ff) 2Z d i dZ
  19. = d7d7 + de de. pro de fiat
  20. (2) axtfy eitque
  21. avt.-de
  22. quod si ergo in aeq. proposita 1 sit talis
  23. valor ipsius f, ita ut aa +
  24. ex
  25. possit haberi
  26. (2) ax + fy
  27. L seu ex xx+yy, poterit problema
  28. n
  29. solvi per quadraturas verb gr
  30. s nempe set a+ dydy a
  31. si sit
  32. Xxtyue
  33. aa
  34. 2
  35. (7l) Xdx 4yd yfdy: a = Zd2
  36. fit aydu e
  37. (6t0)
  38. =
  39. axdx
  40. 1 Axdx +ydy
  41. aaxx+ dydy in +2axy dys a
  42. axdx
  43. et
  44. aa
  45. habetur solutio per quadiaturas
  46. nam V erit arcus circuli centro A
  47. radio a descristi
  48. ax
  49. CD, ax
  50. DC
  51. AC, Z

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 117r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0233?run=74