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Leibniz-Handschriften zur Mathematik LH 35, 6, 6, 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: 0.85.

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. 16r); this page is its left half.

The machine reads it as

  1. sed nihilominus puto in casibus non nimis
  2. simplicibus adeoque in hoc ipso puius reducto ad X
  3. rem po ut in quadrando feri posse onstat rem posse
  4. succevere. Id ergo reapse adhuc exploranum.
  5. sane si consideretur esse X = inZ + nn Z+ p
  6. et in cubica gradu esse m+ bmm + cem + d=0
  7. et p = un, +3mm + 2b m + cc,:, m + 2bmn + 3CC m + 4d
  8. utique si x sit constans obortet, ut si ope aeqq 1, 2, et 3
  9. tollamus m et p. simul evanescat X 3 alioqui X
  10. non feret constans itaque calculum hunc generaliter instituendo
  11. scremus quibus casibus reu succedere possibile sit
  12. sit
  13. X nd+ 2bmmZ + 3cCmZ + 4d
  14. sit nn = h qp fiet q-
  15. X est constans oportet, ut sit un: m = p
  16. et fet (m3 (2bmf + DCc, + 4d = (3m 2b mm) f CCm)
  17. seu fiet m = (CCm) + (3d = bm cem (d) seu nm- 4 d: b
  18. et um =d: b quo substituto in aeg. 2 oritur deferminatio, seu
  19. relatio inter datas
  20. X9: V + ab ay: infiat vV = dx et vdo = L adx seu
  21. di = 2 a dx sax fiet Pfaan XX + ab, ax ac
  22. seu fa du = ax + a x hinc _ b = 0 et d = 0
  23. in form ax + ab XX + acCX + ad.
  24. et cc = ab et fit
  25. m = = ccm = - abm seu m = Y- ab
  26. et - p = - haabnn + aab nn et
  27. = aab s- ab + 3aab -ab
  28. seu p- un: Af- ab
  29. quod vitare volebamus
  30. sed ita in illud ipsum inciditur,
  31. si esset x-cot h. foret
  32. faco + 3ahcoco + dahtco + ak3, fiilt man m- e ab. H
  33. +a b co + abh
  34. fil (b)= h et cc = 3tk + ab cd = h + abh
  35. et . p =
  36. 3a, - ab = 2hS- ab + hh + 2ah, nn, = h + ( ab
  37. Cas, 3rab, a - ab - 2h f ab + th, f- ab -h
  38. aha
  39. MMl
  40. si sit vo (∞+ ab = vo (∞+ 2orZ + Z2. fit fit vr = ab- 22
  41. ut (v + a610 - ur +Z do
  42. v (ab) (a6) 2V ab + v7ZZ. an ac vv-2 sib iti vi
  43. u
  44. seu v v - 2atab Z: aa -Z
  45. v mle H Vi +bV = 1+h

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 6, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068051:0034?run=73