Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 124

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. DE L E H E Y L B U S
  2. iajor pe hvenca itaque est radix x aequationis propolitx
  3. major quam len, sedminor quam l -1.n. Manifectum est quo.
  4. que ad cricandam extractionem radicis cubicae ex n3, quod locon
  5. Tumi posheminor erium dimentionum iplius n, quandoxmajor
  6. CA; S quando minor perhibetur quam l. L B, quod tunc locon
  7. maxima erium dimentionum iplius n’accipi queat, e lic de reli-
  8. quis, quibus ob nimiam FaciliTaLeI NON LMMIOTAIUE.
  9. Prop. 3. X3 - L IX X X = 13 ∞ O.
  10. Pertransxolitionem erit x ∞ n =lX x, ac per conlequens,
  11. majus quam x x. FCt etIaI LX X ∞n3 = X3, _ CON(CGUENECFNMI-
  12. jor quamx, _nx x majus quam x. Sed habetur x3 L l X X ∞ n3.
  13. Freonxx. + lxx majus erit quam n3, hoc eAt, diris à utraque paF-
  14. ce vern L I, eric x xmajus quam
  15. nJ1. Inrenta esicaque radix x
  16. n
  17. aequationis propolica major quam Vi p Led minor quam V
  18. _En. Demonstratur praeterea nnx. L Inx majus esse quamn, et
  19. BN
  20. nx. F lx majus quam nn, de consequenter x major quai F
  21. quandoquidem n major est quam v.
  22. C A P U F IV.
  23. De Aquarionibus Cubicis, in quibus omnes termini extant.
  24. PrOp. T. X3 = lX X M M X = n3 ∞ O.
  25. DExtranspolicionem habebius x3 = l X X ∞ n3 =m mx. FTinc.
  26. sI X aquetur ip(I L, erit etiam x ip(I-
  27. q
  28. vicistim l’aequetur ipsi
  29. hoc est, Immon3, erit limiliter xra-
  30. m
  31. dix aequationis propositxe ae qualis ip(Ilet min Praeterea (IX3 =LXX
  32. estrealis, hoc est, x major quam l, crie quoque n3-m mx realis,
  33. de consequenter major quam x. Ouod si autem caden quan-
  34. M
  35. TitaS X3 = lxx nihilo minor sIC, transponatur propolita aequatio
  36. hac ratione LXN - X D MM X = n3. Ec quandoquidem suppon
  37. 124

Cite

Ps. 2, fol. 124. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0148?run=74