Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 466

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: 0.91.

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The machine reads it as

  1. +66 LOF ANNEO TIUDDENTE CPFST. I.
  2. Aruere reperiantur, erit Propolica aequatio dirisibilis
  3. per X hoc Ficto valore vo; li aurem hi cermini (e
  4. mucuo non destruant, quaerantur dirisores aggregati
  5. horum omnium terminorum (quod quidem asgrega
  6. tum, ut ab ulcimo termino aequationis distinguatur, in
  7. posterum rocabo Terminum Fictum); at que ab unoquo-
  8. que dirilore unius dimentionis auteratur valor Fictus
  9. iplus X, 2C ab unoquoque dirilore duarum dimenlio-
  10. num auteratur ejusdem raloris quadeatum, e lic dein-
  11. ceps. Duo peracto, videndum crienum aliqua horun
  12. reliquorum consentiant cum diriloribus ulcimi Per-
  13. mini aequationis Propolica; si enim nulla eorum cum
  14. iis consentiane, indicio est aequationem Propolitam per
  15. aliam duos tantum Terminos habencem, (eW Per X, aUE
  16. XX, _C. Vel = quantitaEe quavis COGNIEA AEGUC Fa
  17. tionali non esse dirisibilem: Si vero aliqua consen-
  18. tiane, Oportet, Cacto unoquoque consentiente X
  19. carundem dimentionum, 00, explorare per quam ha-
  20. rum aequationum aequario Propolica dividi postit; si
  21. enim per nullam iplarum dirilibilis sic, erit quoque
  22. PFOPOLITa PEF X, aUE X X, _C. + vel - quavis quanti.
  23. tate cognita acque rationali indirisibilis. Dux guidem
  24. omnia lequenci exemplo clariora cradent.
  25. Cic ad inreltisandos dirilores, si qui sint, hujus aequationis
  26. X3 2FaX X b b X 20 a b b ∞ O, supPOHO ∞3 ∞2I a X b
  27. L 20aa
  28. velbbx ∞ 20 abb, vel ad libicum quemlibet prox valorem assu-
  29. mo, urputa a velb: Ced aumamuS ∞3 ∞ 2T a X X, (IVC X ∞ ZT4.
  30. Deinde subrosando 22 a ubique in locum x in aequatione Propo-
  31. TICa X 3 = 2Fa X x = b b x F. 20 a b b ∞0 (rejiciendo breri-
  32. -20ad
  33. eatis causa rerminos, ex quibus aquario Ficta est ConAata, CUIM
  34. ip(I, dum nitilo sune aequales posti, necessario erane (CANE) obti-
  35. neo pro terminorum omnium aggresato 2T a b b L 21,

Cite

[Ps. 1], fol. 466. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0488?run=74