Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 72

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: 0.82.

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

The machine reads it as

  1. e
  2. D E N A F U R A
  3. aquacionem hanC X X = l x - b l. + b b + mm ∞ 0 duabus resi-
  4. L b
  5. quis inveniendis esse ului. Denique ex collatione postremorum
  6. terminorum habebimus n3 ∞ b dd. IInde colligicur dd aequari
  7. 13
  8. a, cognitaradice ver a b, hanc aequacionem X X = lN -= ∞O
  9. duabus reliquis inreniendis inservire.
  10. 6 Proposirio.
  11. t b
  12. Pro lexta propolicione formetur ex duabus x x Lcx - d d 00
  13. ee X - b ∞ O ae quatio ~3 F C X X - d d x F d d b ∞ O. FC, SuPPOLIEd
  14. B
  15. = bc
  16. cmajori quam b, habebit ipla candem formam atque sexta pro-
  17. POlICarUI ∞3 F b X X = M EB X FN3∞ O, et per COMleGuenS erUNE
  18. ejuldem naturae a consticutionis. P’iat jam comparatio, de ex col-
  19. lacione secundorum terminorum habebiimus l ∞ c= b, seu
  20. c∞l. f. b. Deinde ex collatione tertiorum terminorum crit mma
  21. dd. F bc, hoc est, substituto ralore cinvento, habebitur dd ∞mm
  22. = b1 - bb. TInde constat, si vera radix b Cc cognita, hanc ae qua-
  23. tionem X N L lX mm ∞0, pro duabus reliquis inreniendis
  24. L b + bb
  25. L bb
  26. ului Eururam. Denique, comparando ultimosterminos, habebi-
  27. mus ddb∞n3: de per consequens dd ∞=; adeoque, cogniri
  28. vera radiceb, haec aequatio X X L lx - ∞0 ad inreltisandas
  29. duas reliquas utilis erit.
  30. Lsitio.
  31. Pro septima propolitione formetur ex duabus _ - b ∞0 d
  32. X X +. 6X = _d ∞ O XquatiO X3. F C N x = d d X F d d b ∞ 0. Sup.
  33. -b
  34. b6
  35. Polita aurem b majore quam c, habebit ipsa eandem Formam
  36. cum septima propolitarum x3 = l X X = m mX f n3 ∞ O, d COn-
  37. sequenter erunt ejuldem naturae e consticutionis. P’act a igitur
  38. comparatione, orietur ex collatione lecundorum terminorum,
  39. 10b.

Cite

Ps. 2, fol. 72. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0096?run=74