Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 394

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: 0.90.

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The machine reads it as

  1. 394
  2. A D D E F A N E N X V H.
  3. a344 vicies et lemel surlolidum ex 2, mulciplicatum per quadra.
  4. tum Cx V 2; 7220, trigelies e quinquies cubum ex 2, mulcipsi.
  5. catum per quadrato quadratum ex V 2; X rT2, septies 2, multi
  6. plicatum per quadrato cubum ex V 2. ee prorenient 2704. Unde
  7. manifeltum (C, 2 L V 2 eACradicem quae litaIm.
  8. Cxterum obserrandum hic est, postquam datum binomium
  9. per numerum aliquem mulciplicacum aut dirisum fuerie, acque
  10. ad aliud reductum, cujus radix jam sic invenca, quod, ad prioris
  11. binomii radicem obtinendam, radicem inrentam diridere aue
  12. mulciplicare oporreat per radicem numeri, per quem binomium
  13. mulciplicatum fuic aue divisum.
  14. Sic quoniam ad extrahendam V (3) ex V 242 + +23, ipsum
  15. per 2 mulciplicarimus, se deinde hujus posterioris binomii radi.
  16. ceminrenimus esse r. L V S; diridendum erit T L Y 8 per Y 3)
  17. Cx 2, XHeEY 3) = L V O 228, radix cubica Cx V 242 + 225.
  18. Mulciplicarimus V
  19. 242 1 127
  20. per V 5, dc inrenimus
  21. V 242 = 123, cujus radix eAt V 3 = L V 6 126; qua di-
  22. 128
  23. risd per Y 65, everget V (6 20 V 05, Proradice ex
  24. 242
  25. 125
  26. Mulciplicetum est V 242 L V 243, priimo per V 2, e deinde
  27. per 2; unde licut invenca radix cubica 2 L V 6 diridenda sit per
  28. V2, de prodibic V 2 + V 3, Pro radice cubica quaesita ex
  29. V 242 + V 243.
  30. Dirisimus V 3 3993- L V 6 17578125 per V 3 3. ecmul.
  31. ciplicarimus per 16, ad extrahendam V (5): quare necesse estin
  32. ventam radicem P. L V5 diricere per V 9 26, de mulciplicare
  33. per Y (15) 3, ut hrabeatur rera radix Curtoliia ex daco binomio.
  34. a 22a edL del2dt aaeeb
  35. Le pelcnoiocau, eudlo cidlciolium aliquodim
  36. mulciplicetur cubice, proveniat semper aliua binomium, cu-
  37. jus parcium quadrata, a se inricem subdueta, relinquant cubum
  38. disterentix quadratorum parcium radicis sire primi binomii. Id
  39. quod

Cite

[Ps. 1], fol. 394. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0416?run=74