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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 93v

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. CB+ AC) C AB+ CB = AC) = ABC A
  2. AB+ CB+ AC) (AB + CB + AC)
  3. = = (ACqu - (CB. AB) qu. (AB+ CB a
  4. ACM
  5. ABA= AC
  6. ACqu
  7. quodsi jam ponamus AC infinitesimalem, et differentiam inter
  8. AB et CB etiam infinitesimalem fiet
  9. ABCA = = AB VC AC qu. = qu E CB - AB)
  10. seu posito AB, Z a et AC, + deo fint ABCA = = Z (deoduo - dzdz)
  11. eu 4Zd
  12. Cet AD, dv.
  13. ABCA = 27 du, quod praevideri poterat
  14. pato lart
  15. = dβ s erit do: dβ = .
  16. 1 99 dβ: C
  17. AB: BV = Z: C. fint ABCA = 2
  18. itaque si mobile moveatur in linea vertiginante
  19. punctum
  20. circa
  21. centrum, erit areaas areae crescent in ratione com-
  22. posita ex duplicata ratiorum, et simplice angulorum
  23. se
  24. sed idem locum habebit, et si variet centrum
  25. seu isi B B sit curva cujus sunt sangentes AB
  26. i ud
  27. porro callia quoque locum habent si
  28. miuetur centrum B nisi quod tunc
  29. ID2C oet 2D3C, non est d7
  30. Nam
  31. tunc e augetur, tum motu mobilis c in
  32. sse regula vel filo tenso BC,
  33. tu
  34. ea Esto ergo dari cerd. id + C 1C1d esse dx
  35. argmento ipsius fili
  36. et id2C esse dy it eaque dari ex X et y. videamu
  37. dy: deei dari
  38. an comminisci aliqud liceat quod motu exhiberi possit
  39. dx = ZaB: C d dy + do = dZ ytvoh-3
  40. lo
  41. o
  42. fit 7 dβ. C - d7 - dv
  43. EdB.C dβ Z: C fA (dZ- d0) = (De
  44. ad nihit hinc ad constrnctionem inversae tangentium
  45. 1
  46. C D: 1D2C
  47. u
  48. 1B21 - d0

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 93v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0186?run=74