Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 358

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: 0.87.

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

The machine reads it as

  1. x per 15
  2. quinti.
  3. E per 17
  4. quinti.
  5. DE CONCTNHANDIS
  6. multiplicatontr Per a b VEa = b ad b. F a, ita 26 ad 2 X.
  7. exitque ac. a x 1 b x ∞ b6.
  8. X vide Cla- addatur utrinque ac
  9. vium ad 18
  10. Y per 15
  11. quinti.
  12. 2. per 16
  13. erit etiam
  14. :hoc elB, HL SEUE a - b 2d b F a, i12 6 ad X:
  15. V vide Cla - HiE ac - a X ∞ bC = b x.
  16. vium ad 22. auferatur uerinque bx
  17. quinti.
  18. quinti.
  19. lexti.
  20. erit ax L b x ∞ bc - ac.
  21. mulciplicato utrinq; per a L b
  22. Bc- ac
  23. erit ac- a X ∞ b6 = b X.
  24. id est, reducendo proporrionem
  25. ad aequalitatem,
  26. uc a ad b, Itac -- x ad c - X.
  27. d dividendo
  28. UE a - - b ad b, ita 26 2d c. X.
  29. vel, sumpeis consequencium sc-
  30. missibus, u
  31. UE a- J b ad 2b, it2 26 2d 26,- - 2X.
  32. id est, per compolitionem ratio-
  33. nIS COntrarIaI,
  34. ut a - F b 2d b - a, It2 2C ad 2X.
  35. erit etiam y
  36. Si SIE N ∞ F B: hoc est, (I SIt UE a - F- b ad b - a, ic ac ad v:
  37. Crit Z ax ac ∞ b X =- bc.
  38. id est, reducendo proportionem
  39. ad aequalitatem,
  40. UE b ad a, ita X - C ad X - c.
  41. a componendo a
  42. ut b - a ad a, IEa 2C ad X = c.
  43. vel, lumpris consequentium le-
  44. missibus,
  45. ut b - a 2d 2a, IFa 26 ad 2X = 2C.
  46. est, per dirisionem rationis
  47. contrariam,
  48. Acb = a 2d a. b, ita 2C 2d 2X.
  49. esICCFIaM a
  50. SIIIL b - ∞x: hoc est, sI SF uEb - a ad a F b, itac ad x:
  51. ac
  52. Si CIE X ∞
  53. 5 per 16
  54. Sedetr.
  55. a per 18
  56. quinti.
  57. B vide Cla HC AX - a C ∞ bX = b6.
  58. vium ad 22 auteratur utrinque b5
  59. quinti.
  60. C vide Cla-
  61. vium adt 17
  62. quinti.
  63. a per 13
  64. eritque a x . L ac. (- b0 ∞ bX.
  65. ddatur ucrinque ax
  66. eiteab b60bX
  67. mulciplicato uerinq; perb-a
  68. ac + bc
  69. Guoet.

Cite

Ps. 2, fol. 358. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0382?run=74