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[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [51]v

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: 0.83.

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

The machine reads it as

  1. in alia mulbiplicatione quacunque, ut facice
  2. patet, nam pro
  3. per. X - C.
  4. d-b muti multiplicanda
  5. utique poterimus facere d aequ
  6. e FX si sit dupto major quam X se posite quia
  7. est major quam X. adeoque et major quam b posito X aequ. b)
  8. et fiet.
  9. e. + X - b multiplicanda per
  10. e
  11. et necessario fiet productum
  12. ex = eC + X2: b X-
  13. ceX
  14. CX + b
  15. X = c.
  16. dbe
  17. nim fit enim utique ex - ec + X = b X - CX 4. O.
  18. quod tantundem esse debet
  19. e
  20. quod ex - ec (quia X - b aequ. 0.
  21. ergo Ct C + X - b in X - C idem quod e in X - C.) Ergo
  22. X - bX = cX +
  23. tem
  24. D. aequ. 0. ergo ut supra aequ. + bC
  25. sem fier
  26. Cx - Cc + D
  27. dba
  28. ets.
  29. mulsipficatione A utique postea
  30. cus
  31. 2
  32. explrcare licet explicata
  33. b a qua. ebaper etx
  34. limirum ostendimus ex - ec + +2= b X _CX + bc essa aequ. d - b in X - C
  35. aequ d - b in X -c. ut otendimus
  36. b in A aequatx
  37. C et
  38. e
  39. an
  40. d: b in C aequ
  41. d - b in X aequ. ex + X CbX seb valorem ipsius d)
  42. = dc. O
  43. Estantem id est (quia d aego C+ X) d - b in - c aequ.
  44. -CC - XC. O. Ergo d b in XC equ. ex-
  45. Ergo summa collecta ex + K - bX - CC = XC. O.
  46. superiori:
  47. aequale Cex - eC + X . - b X = C X + b C.
  48. utriaque iisdem fiet aequ. + b.
  49. Ergo ablatis
  50. treviorem hanc
  51. demonstrationem reddidissem si vacasset. facile etiam
  52. patet idem fore it si adhibuissemus non X - c sed aliam
  53. quamvis ut f.
  54. f.
  55. C

Cite

[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [51]v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00066634:0102?run=39