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Leibniz-Handschriften zur Mathematik LH 35, 5, 9, fol. 2v

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: 0.85.

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. 1r); this page is its left half.

The machine reads it as

  1. = C x. sed jam video ista nun quam procedere, nec per partes in
  2. hisin posse, nam vg. sit X + (3, XFB 3 = X, X, fier X2βX.
  3. quod longe aliud est quam X + β, = X , d X + β = X. quod daret (2
  4. concludendum ergo, aliud esse dvis quam dode, aliudque d quam d
  5. primus gradus
  6. D5IpD AB,X, BCpY. 7B++
  7. de
  8. sit aX + by CY a + bX + Cy p0. ordinando et accommodando ad tangentes,
  9. fiet: btp - cy. et t =. eodem modo: Ap = X. sit WC co.
  10. fint
  11. patet esse: T= ⊓ B. erficr: co B = eodem mod β LoC E.GC7(
  12. decundus gradus: a + bX + Cy + dx + ey + fyX Y 0. ordinand ad tangentes, fiet:
  13. bt + 2d XF + fy tB - cy - 2eY 4. fyX . adeoque +p = Cy -2ey - fyX unde facile
  14. putet semper E per 3, (et 6 per X) dividi posse
  15. b +2dX + fy
  16. et quoniam coH BY. ised fiet hic co B B b + 2dX + fy. adeoque fiet:
  17. = c - 2ey - fX
  18. y-CoE . x 32βbr2dX at paulo aute yp = a - bX - dX
  19. f+2e
  20. c + ey + fx
  21. et fier: - coienr, (brrox, + fx m, + fre aubxo -a et 2 (brx
  22. I - codc+ fX, =B D+dX,- C
  23. 5+2C
  24. Quem vatorem arientum instrendo in vatore ipsius eo habebimus aequationem
  25. inqua nulla Y. quod ut fiat commodius, quaeramus ruisus Habemus ergo aequatio-
  26. per partes in exiguis. yx a differentia erit
  27. tim ae yt =. eut. c0 Ca. e B
  28. varia
  29. nem in quanulla est amplius y.
  30. VE XX. i e -X. C B7 -y
  31. Et omnes figurae, quarum
  32. aequatio ex hac aequatione pro explicatione literarum constantium
  33. formari potest, quadrari possunt. illae item quae ipsi per methodos alias ostendi
  34. possunt (t 6u CGYYCTO).

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 9, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068027:0004?run=73