Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 136

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.

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The machine reads it as

  1. 30
  2. DE L I N F F L B U 8
  3. jor quam v. Deinde elt nt. L pt ∞ l. X 3 = m M X N, dc per conse.
  4. mm
  5. quens x major quam, PEXterCA eAtx L MMXKBL~-p
  6. ac proinde xmajor quam Z, de x major quain V C. Z. Inveni-
  7. musigitur, unamquam que duarum radicum a quationis proposi-
  8. m m
  9. ta majorem esse quam, e V C. 7 ac minorem quam l.
  10. ProP. 6. Xt + lX3 =MM XX + p+ ∞0.
  11. MM
  12. Pertranspositionem est at - L pr DMm XX = l x3, ideoque
  13. majus quamx. Deinde est lX3 f pr ∞ MmX X - xt, ac proinde
  14. mmajor quam x. Praeterea eAt xt. L l x3 ∞ M M X N - p+, _ CON-
  15. in y hoc est, a major quam. Inve
  16. B
  17. lequenter xx majus quam
  18. nimus erso, unamquamque duarum radicum xquationis propo
  19. m M
  20. Prop. 7. X+ - lX3- MM XX X p+ ∞ O.
  21. Pertranspositionem habebius ~2 = L X3 ∞ MM XX =pt. UN.
  22. de patet, six aequalis est ip(iL, iplam x quoque Fore aqualem ipsi
  23. et
  24. n; de per consequens, situerine termini l d aequales, exit una
  25. radicum aequationis propoliex aequalis singulis illorum; dt Sifue.
  26. rint inaequales, neuera duarum radicum sequationis propolia
  27. pocerit esse inter illos duos constituta. Fodem modo pertrans-
  28. politionem est x+ =mmXx ∞ lX3 -p+. Unde imiliter constat,
  29. Ituerit x xqualis ipsim, fore quoque x xqualem ipsi V C.; id.
  30. eoque li aequales tuerint m ec V C. Z, una radicum aquationis
  31. propolicae aequalis erit cuilibet horum terminorum a qualium; et
  32. li fuerint inaequales, nulla radicum aequationis proDosIEx erit in-
  33. ter illos duos constitura. Porro pertranspolitionem est quoque
  34. xt L p+ ∞ lx3 + MM X X, UndC l x3 M M ∞ X IMajUS CTIE quaIm X
  35. _Lx- Lmm ajus quamx x. Jam (i fuerit xquatio propolitarea-

Cite

Ps. 2, fol. 136. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0160?run=74