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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 335r

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. 334v); this page is its right half.

The machine reads it as

  1. pursus duae supernumerariae sed pria modus simplicio, oldepresporo
  2. et minorem numerum aquationum
  3. quod si x FX +. X. resolvamus in duos factores. XX +. p et
  4. C
  5. XX + ax. situe ille aequ. 00D, hic aequi )8E. sit rursus
  6. Xe l4 + 126 et O-.. st 2A
  7. et O=: t et 9 -. 16 et
  8. s
  9. AS
  10. X2 1t4 + (76
  11. D=. 1H8 + vrav. fiet OO = P. vr. v+ . v +. v+. v 1O et siliter gG
  12. Aequationes ergo sunt ob partem retirualem 3, ob errationalem 2, summa S, utrumque bis fib 10
  13. Literee nt ob X sunt 6, ob O et 4 sunt 2. ob ) sunt 3, fit 11. Ergo sic
  14. quoque datur exptus, vigetur tamen praeferenda Methodus pagn paragraphi
  15. Maecedentis. Hanc ergo actu ipso fenteraus
  16. possemu et caeteris retentis facere x st + YS
  17. X= P. v+ V st + uv +o 16 sed ita amifferetur 2, quanquam in locum
  18. et
  19. darbitiariarum quas continet, alias sic obtineremus sed illud obstat
  20. quod ita x ascenderet in et rationali parte ad v, in rat irrationali
  21. 16)
  22. ad D itaque relentis 0 et e ut ante deferet feri =. Stio +. D +. D +. B
  23. ita haberemus, b x _ aequationes et OO)L. v +. 1 +. P +. P+. 1 + P 1H et
  24. epaque sipmililer supro De+
  25. fierent artibun aequationes pro parte rationali 4 pro ircationali 3, summa 7
  26. ut et quo bis facit 14. literae vero arbitrario forent, quo
  27. ne
  28. ob t et 6 forent 4, ob X forent ad huc 4. Nam ma ibi superfluc de ab
  29. in O et B C n nullae, sed in d) forent 1. summa, 12. sed ita
  30. numerus est inferior justae. Ergo insistendum Methodo paragraphi
  31. praecedentis, vel ante mraecedentis pro XX X+. x + ux. AL
  32. pros X +. X + . X +. X H, ux. recurcendum est ad superius explicatas.
  33. placet autem quod Methodo hac duarum si solarum irrationalium
  34. pl et 16 sie 3tia 12 nullas successus hic promittetur, nam atioque ui
  35. enim Mehodem diffiderem pro tribus successum promitteroti

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 335r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0665?run=74