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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 246r

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: 0.78.

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

The machine reads it as

  1. Z
  2. Ergo Xlogx= o a. logu seu
  3. (+)
  4. Sax: x = a sag: y E Zdx: X + dZ Sax: X = ady: y
  5. et, Zddx: X + dxdze. X = Z x:
  6. a ddyus : y - a dy: gy
  7. eR Sax: fiet:
  8. it per 4 et 5 collendo
  9. dZddx: X +Fdxdz : x = Z dx dz: xx + adyddz: y - Zdxddz: X
  10. e
  11. d ed = a dque ady: y - a dy dz: yy
  12. si felciamus ddzue0 ex aeq. 5 fieret.
  13. e
  14. constat genecalter
  15. xaddys: y - acu. y
  16. Unde sequitur posita du constante fore
  17. dd Z. log. X = Z ddX 1x + 2 dx d Z - X X7ddx - 2Xlxaz - X
  18. sin sin adg:y faciamus constantem = ded
  19. C XX
  20. fiet: Xde (1 X7 dx adzue + Z aX dZ = XZ dq ddx = 2 X dx czue
  21. sed t si faciamus, ut dixi dam o fit
  22. d posito
  23. 2
  24. a
  25. C 2y fit a dd log: y =
  26. dd log. X
  27. ee
  28. posita XV. = y
  29. XZ ddx - 2X dXdZ - X Z dx,: X
  30. Adeou absolite dd log. X.
  31. = XZ ddx - 2X dX dz - xZ aX, : aX
  32. a
  33. 12
  34. posita dZ constante
  35. A (+

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 246r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0487?run=74