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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 10v

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: 0.90.

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

The machine reads it as

  1. Ax dus idx = XX + yg: aa sit ex constans fiet
  2. ddy: dx = 2xdx +2y dy,: aa
  3. et gam
  4. et y = (aa (dy: dx) = Xx = aa ddus = 2X dxdx; dyd
  5. aa(dys: dx) - x)
  6. itaque
  7. perest
  8. ady.
  9. Z.a = dy: dx
  10. prollema hoc caus
  11. casus est hujus ex
  12. datis AY invenina
  13. M N quaeritur curva
  14. noee curva
  15. problema praesens
  16. invenire
  17. curvam talem
  18. ut sit mN
  19. NM ad M L inc
  20. in ratione daplicata AXad
  21. a
  22. AY ad ML
  23. si X cresca AX crescant aequabditer
  24. erunt incrementa ipsorum XY in
  25. ratione duplicata ipsorum A
  26. itaque
  27. erunt xy proportionalia ipsis A
  28. summas quacrat
  29. ab AY applicatirum ad
  30. AX
  31. seu motuenta ipjorum AY ex
  32. constractio per motum. Cilum cum pondu cui
  33. filum annixumconstituatur in Y. electo pro arbifrio.
  34. inde filum extendatur in punctum aliquod Lquod
  35. reperiatur tale, ut fiat Nm ad ML in ratione duplicata
  36. AY ad ML. ila habebuntur quo puncta vera Y et L. Hinc
  37. jam porro procedet motus. trahendo filum per L, pondus sequens
  38. circumaget Ax circa A, sed ita ut simul obtineptur relitio, debita
  39. inter AY et pM. porantur des curmae salisfaciente, esse
  40. clineato

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0020?run=74