Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 122

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: 0.86.

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

The machine reads it as

  1. D E L T N L F L B U S
  2. PrOD. 3. X X - lX = M M ∞ O.
  3. Per transpolitionem habebimus X x L. lx∞ mm, de per conse.
  4. mm
  5. quens = majus erit quam x. Rursus exiltente a x- L l~DMM.
  6. eriemminajus quam ex, e mnajor quaimx, ac proinde mema-
  7. juS quam Xx. AEqui habemus ∞ x L l ∞ ∞ m m. FrCO M X L. LX
  8. majus erit quam mm. Flinc dirisd ueraque parte pet m. L. l, Aetx
  9. mm
  10. Major quaim-
  11. m. Quare invenca eAt x radix XquationIS PrOPO
  12. mm
  13. mm
  14. litx major quam,. J m aE minor quam , ee M.
  15. C A P I F TI.
  16. Delimiribus Aquarionum Cubicarum seu trium dimensio-
  17. num, secundo termino carentium.
  18. Prop. T. X3 X = M M X + 1 3 ∞ O.
  19. DEr transpolitionem habebimus x3 ∞ L m M X -n3, erieque
  20. Lmmx majus quamn3. Unde diri (OUErOqUe FeFIINO DEEMM,
  21. erit x major quam-. Deinde per transpolitionem critmmx
  22. MM
  23. x3 ∞n3, aC PeT COnTEQUeNS M M IMajuS quaIM X X, _ M Major
  24. quam x. Ouareinrenta est urraque radix a aequationis propolita
  25. de minor quam M.
  26. Prop. 2. X3 X - M M X = n3 ∞O.
  27. Per Campeoeadebimus X3 = M M X ∞N3, CFIEGUC XX
  28. majus quam mm, ec x major quam m. F. rit quoque X3- n Cmm,
  29. ideoque x3 major quamn3, _ x major quainn, ac proinde nnv
  30. majus quam n3. Aequi per transpolitionem propolitionis habe
  31. ImUS MM X + 13 ∞ X3. QUaTC MM X + BN X INajUS CrIE quam X3;
  32. ee dirisd utraque parte per x, erit mm. Lnn majus quam xx; ideo-
  33. que x minor quam V mm-Lnn. Inventa ergo est x radix aequa-
  34. tionis propolicae major quam mden, ac minor quam Vmm. L n.
  35. Requeliquet, ad cricandam extractionem radicis cubica ipLIUS N.
  36. quod loconn in rinculo allumi possit quantitas aliqua, gux non

Cite

Ps. 2, fol. 122. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0146?run=74