Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Ps. 1], fol. 431

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: 0.76.

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

The machine reads it as

  1. t
  2. acI
  3. en
  4. decat
  5. eparem
  6. l
  7. 52, DIC
  8. 2
  9. 15C
  10. 8
  11. (1CFDD
  12. DE REDUCTTORE AE OUA EIOHUM. 43L
  13. erirque qt. F rr8h. F ssek F 1ThR ∞0
  14. L tFBK
  15. rrb. Ls(
  16. F + BBRe + 2q+FFBR
  17. +BB F s+RR L ErY
  18. 088
  19. 8 LFE hhk R L g tbR reBh- (+ B B- Errs(BR IN 88∞ O.
  20. Supponatur rurtus, breriearis causa,
  21. k- r + BB88- s= RR 58 ∞ V8
  22. ec = q2FF - rr(s88 ∞ 10.
  23. Hecque vd- L wo hR ∞0
  24. p8 ∞ - Bo BR
  25. de inrenietux v ES∞W BhKR. Oux aquatio ab omnibus si
  26. enis radicalibus liberata est.
  27. Deinde ponatur unaquae que licera aequationis superioris
  28. B∞e- g. L B, ecc. designare quancitatem signoradicali V C. 2d-
  29. Fectam. In hac igitur (i loco quadeatae multiplicationis utraque
  30. pars mulciplicetur cubice, crane(cet signum radicale ip(iuIS n, d
  31. unaguae que reliquarum licerarum e, 8, B, dt c. aCquiret L, 2, auF3
  32. dimensiones. In quancum autem eres dimensiones habene, in tan-
  33. cum carene etiam signo radicali, adeo ut hâc ratione obtineri
  34. queat aequatio, in qua e non nili r aur 2 dimensiones habere po-
  35. telt. Ouocirca mulciplicando omnes hosceterminos pere, ob-
  36. cinebitur aequatio, in qua epraeter F, 2, X 3 dimentiones habere
  37. neguic. In quancum aurem z habet, in tantum quoque sisnum
  38. radicale, uti dictum est, cranescit; ac proinde ipla c in hac a qua-
  39. tione etiamnon nisi T X 2 dimentiones retinere poterit. Hlinc si
  40. opchiujus aequationis quaeratur ralor iplius ee, isque in locumee
  41. praecedentis substituatur, obcinebicur xquario in qua e unam
  42. eancum dimensionem habebic, atque ideo inveniri poterit e a-
  43. qualis aliquor terminis, in quibusipla non comprelenditur. Dux
  44. aequatio, li deinde cubetur, dabit aliam, in qua limilicer signum
  45. radicale iplius eprorluserane (cet. vel porest rursum pere mulei-
  46. plicari, de ralor ee denovo inveniri, quiicerum, ut antea, policus
  47. Jocoees habes ralorem ipliuse alio adhuo modo; ideoque duo hi
  48. valoresinricem comparati, aequarionem dabune, in quav cxam
  49. ipsius
  50. L + + BB

Cite

[Ps. 1], fol. 431. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0453?run=74