Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 92

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: 0.86.

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

The machine reads it as

  1. 32
  2. DE N A Y u R A
  3. Suppolicis autem be majore quam d d, ee b d d majore quâm f3,
  4. habebic ipla eandem Formam atque secunda propolitarum xt-
  5. IX3. LMMX~ -L n3 X L p+ ∞O, ac per consequens ejuldem erune
  6. natura _ constitutionis. Fiat ergo adae quatio, et per comparatio-
  7. nem secundorum terminorum habebiimus l∞ C-( b, hoc est,
  8. c∞ l = b. Deinde, conterendo certios terminos, habebimus
  9. mm∞bc -dd, hoc est, substituendo ralorem cinventum, Ret
  10. dd ∞bI - bb = mm. Tum ex collatione quartorum termino-
  11. rum habebimusn3 ∞ bdd - f3, hoc est, restituendo ralorem di
  12. inventum, fiet f3 ∞ bbl -- b3 - - bm m -- n3. TInde patet, cognitâ
  13. reraradiceb, hanC aquatIONeI ∞3 = IN N. L M M N- F n ∞ O Erd
  14. bus reliquis inferrire.
  15. + b + bb ut b
  16. -bb + bmm
  17. b
  18. Denique, collacis ultimis terminis, habebimus p+ ∞bf3. Un :
  19. de sequitur, f aequari ; 8, cognit a ver a radiceb, hanc ae qua
  20. tionem X3 =l ~X x = mmx = ∞0 ad cresreliquas investisan.
  21. F b + b
  22. das posse adhiberi.
  23. Lroposdi
  24. Protertia prOPOsitiOne AaF ex quabUSX3 =CNN - d dX - β3∞0,
  25. de x - - b ∞ O haeC aequatio X t - C ∞ 3 = d d X X - f3 X. 1 bf3 ∞0.
  26. -b + b6 + bdd
  27. Suppolitis autem dd majore quam bc, ef3 majore quam bdd,
  28. habebicipla eandem Formam acque tertia propolitio x+ - -- l ∞3 -
  29. MM X X -n3 X- L p+ ∞ O, dC PEr CON SEGLENS EjULdEIL CTUINENaTUTA
  30. ec consticutionis. Fiat erso adaequatio, ee per comparationem
  31. secundorum terminorum habebimus c∞l - b. Deinde, conse-
  32. rendo certios terminos, habebimus bc- d d ∞ = mm, hoc est,
  33. Substicuto ralore c invento, erit dd ∞0 b l- L m m - bb. TuI ex
  34. comparatione quartorum terminorum habebimus b dd -- f3 ∞
  35. n3, hoc es, restituendo ralorem dd inrentum, Het f3 ∞ n3 +
  36. bbI. LbMM = b3. IInde constat, coonita rera radice b, hanc
  37. aqua.

Cite

Ps. 2, fol. 92. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0116?run=74