Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 78

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. F NV et Z U R a
  2. 2 Proposstio.
  3. Pro lecunda Fat ex muleiplicatione _3 L b X X F 6Cx f d3 ∞0
  4. per X b ∞ 0 haec aquatio x + X - CCX N L d3 X d3 b ∞ O.
  5. bb = ccb
  6. Suppolitorero cc majore quam bb, etccb majore quam d’,ta-
  7. bebicilla eandem Formam cum secunda propolitarum x+ X. L mm
  8. X X = B3 X = - p+ ∞ O, aC per COn(EGUENS CrUNE CjuILdCI natUEX de
  9. consticutionis. Fiat igitur adaequatio, ec ex comparatione tertio
  10. rum terminorum habebimusmm Docc- bb, hoc Cst, c0∞ mm L bb.
  11. Deinde, collatis quartis cerminis, crit = cb3 L d3 ∞0- n3, hoc elt.
  12. reltituendo ralorem cc inventum, habebitur d3 ∞ b m m L
  13. b3 = n3. Unde discimus, coonita vera radice b, aequationem
  14. X3 L bXX. Lmmx L ommoo, tribus reliquis inrestigandis interrire.
  15. + bb +b3
  16. Praeterea, comparando ultimos terminos, habebimus pt ∞ d3 b.
  17. unde sequitur, d’aequari; ee cognita rera radiceb, aequatio
  18. nem hanc ∞3 F b x X L mM N F ∞0 ad eres reliquasindas an.
  19. das posse ucurpari.
  20. L b
  21. 3 Propositio.
  22. PrO terCa, Hat ex duabus his X 3 L b x X L CCN L d 3 ∞0 e
  23. x = b ∞ 0 aequatio xt X - f 56X N F 43 x -- d3 b ∞00. FF, luppO(I.
  24. bb =ccb
  25. tobb majore quam cc, e cob majore quam d, habebit ipsa candem
  26. Formam acque terria propolitio x+ F-MM XX- 13 X. p+ ∞O, aC per
  27. consequens ejusdem erunt naturae ex constitutionis. Unde facta
  28. adaequatione, ex collatione cerriorum terminorum habebimus
  29. Mm ∞- bb- + cc, hoc eAt, c0∞ bb mm. Deinde, collatis quartis
  30. terminis, habebimus -n ∞ -ccb F d3, hoc est, substituendo
  31. ralorem ce invencum, crit d3 ∞ b3 - L b m m -- n3. unde patet, (1
  32. Cognita sic radix rerab, hanc aequationem x3. L bx x. L bb x F b3 ∞0
  33. M + bm

Cite

Ps. 2, fol. 78. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0102?run=74