Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 5, 25, fol. 17v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 18r); this page is its left half.

The machine reads it as

  1. ejum jam video impossibile esse ut res loc modo
  2. generaliter absolvatur, ai nam alcoqui omnes luius imidi aequationes
  3. differentiales possent reduci ad curvam bidinariam. Sid ergo potius
  4. rem optime fieri posse arbitior
  5. sint
  6. Resumtis aequationibus 1. 2. 3. t ex aequ. 3. tollend
  7. omnes quibas termini in quibus V assuigit ultra av,
  8. nempe V dx vdo. ar exdx. vxdo.
  9. vdv. vxdv. vdv. scilicet etiam
  10. termini sex. Et semper tot tolcendi erunt termini, quod semadum
  11. vax. exdx. vV ax.
  12. methodum praecedentem, nam termini vdx. exlx vedx. indem
  13. et
  14. erant qui ante. Et iidem Et vdv. exdo. vndu succedunt
  15. Adv. exdo xxdr
  16. tialis Euc ad dici possit nempe BxV + V vv + B x v + AxV + V
  17. quo cujus differentialis est: βxdv + βvdx + vdo +OXdot Dxvx+ QV
  18. Unde fiet B aequ- c. D aeqo - f
  19. +Ex V +Ox +2XV + Y
  20. rursus ) aequ - = n
  21. tantum ergo in data aequatione data efficiendum
  22. Quod facile est
  23. Cno video nec hoc modo rem procedere
  24. nisc quiL D
  25. debet addi ab utraque parte, hinc non potest v haberi valor ipsius do per sole,
  26. X et ex nam manet v ab altera parte ergo non omnis y sublata.
  27. est, ut sit 9aequ. 29.
  28. nam
  29. Majoris brevitatis causa tentemus rem in aequ. 1. pro y substituendo v.
  30. fit +BD +2DXV +V
  31. A4) aequ. B 2
  32. (2 aequ. -51
  33. ssumamus jam formulam, in qua reperitur v, sita ut etus differer
  34. pro tollendis prioubus
  35. +,XV do + 3 MV do
  36. sit aequatuo 1. data
  37. Daque a + bX, cb
  38. A aequ -g.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 25, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068043:0034?run=73