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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 47r

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: 0.84.

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

The machine reads it as

  1. dy: dx = XX: aa +yy:aa. soit X = dxdx. dux
  2. il yaura duidu d differentiem erit q
  3. dy dxddue = dyddx,: dxdx 2Xdx: aa +2ydy: aa
  4. pr
  5. sol Xadx= dxux mallons cesse valeur
  6. seu X = dxdx: dax. substituatur hic valor in
  7. aequationibus 1et 2. et siet exag. 1
  8. dyi dx= (ax)=dX): (. (dex) Da) Fyy: au. Et
  9. 4
  10. ex aeg. 2 fiet: dxady = dyddx: dxdx = 2dX C: andix)
  11. +2ydy: aa seu dxddus - dydax = 2dX (: a addx). +
  12. 29 dy dpax: aa. opetarum duam aequs. tollatardu
  13. Aniter poteimus. habere du sine x et
  14. dux, si faciamus dax =0.
  15. sit Ergo dy: dx = XX: aa Fyg: aa sit ddx
  16. Xx = aa(dus: dx) =gu et eut
  17. X = _Y (aa (dy: dx) =yy), adeoque fiet
  18. dx = aa ddy: dx = 2ydy, :, 2Y (acdy: dx) - yy)
  19. seu dpdx = aa ddys fldus: dxdx) - 4 aaus dyeldus : dx)
  20. +4yydy dis,: da dy: dx =gy, seu
  21. apx = aa ddyddue - 4aay dydx ddus + 4yydydurx
  22. aadudue = yus dxdx, adeoque fiet
  23. tandem
  24. Anl
  25. aa addysditus3
  26. + dx aadydx + Fyydlysdus dxax. Taayun i X
  27. A

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 47r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0093?run=74