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Leibniz-Handschriften zur Mathematik LH 35, 7, 2, fol. 14v

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: 0.75.

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

The machine reads it as

  1. ax dx + a dy = 5du sihel A. ald C et ab gae ere
  2. seu X: a + dy: dx = gy: aa sit X: a = (dz. 9 y2 a =) de
  3. d
  4. : V. dycdx = Z:
  5. fdz:v. sit
  6. et ex aeg. 2 per 3 et gfl d: Z + Z: v
  7. v = e
  8. fiet dz. 4 de D2dzu: V dz: D Et 1:C + Vde: 1Z = 2(az: v unde rursus
  9. de: e - ae ddz: 47 = 2 dz: V
  10. Ex et pro V ponendo
  11. c
  12. posito dde =0 et tollendo v ope aequ. 7. fiet de: ce - de ddZ: 3 = 2dzC:
  13. X aer. 10
  14. poterimus aliter tollere V ex aequ. 10 per aeq. B3 et fret
  15. differentiando sit
  16. : z: de edv: de sed ita sublato de, prodit du. opus
  17. est ad huc una aequatione nempe differentio differentiu. Scit daz- dede F
  18. ed quia caque = de + edv
  19. 13
  20. ex7
  21. de: ce
  22. (4)
  23. = de ddz: dZ = 2 a
  24. seu der
  25. 2dedo + edao
  26. ex de aequest diterentiandoit
  27. edau + de de
  28. emrissa e,
  29. lip 69,7
  30. il
  31. de
  32. substitulo in oeg. 9
  33. c.N d
  34. sit v:
  35. Bd
  36. + _1-
  37. - dv qu de
  38. ex aeg. 13 toleendo e
  39. 7
  40. ful
  41. hoc valore
  42. gdo: utazue = 2(dz: v
  43. du ddv - do adZ
  44. 2
  45. dt
  46. o
  47. az dv
  48. sed difficultas est quod tolli debet tam v quam Z
  49. de va
  50. Ela
  51. eo
  52. Ex ag
  53. et valere ipsius e
  54. et
  55. d2
  56. per

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 2, fol. 14v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068074:0028?run=73