Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 91

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: 0.77.

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

The machine reads it as

  1. + L- 1DC
  2. DO. duppo
  3. Aetala
  4. aC pecco
  5. 150 ad a9u
  6. - b3
  7. IIM TCFIMMO
  8. Loralorem
  9. COEMIEd Ver
  10. D0 reliqui
  11. imus p v
  12. aequatione
  13. Clcteren
  14. aliMe
  15. 1.
  16. cim seque
  17. AE O U A Y L O N U H.
  18. ∞ E -- l X3 MM X X- ] B3 X - p+ ∞O.
  19. ∞t b ∞3 = MM X X B3 X = pF ∞O.
  20. ∞ 4 - - lX3 = M M ~ ∞ - B3 X = p+ ∞ O.
  21. a. 4 - LX 3 -] M M X X = 13 X - - p+ ∞ O,
  22. X + ) L∞3 MMX X L B3 X - p+ ∞O0
  23. a4 lX3 MM X X B X = p+ ∞ O.
  24. ∞ + - (- lX3 MM X X -( B X = pF ∞O.
  25. E Propositio.
  26. Prohatura d constitutione primae propositionis dignolcende
  27. Fiat ex duabus hilce, ∞3 - CX X - ( d d X - - f3 ∞ O XC X -- b ∞ 0.
  28. haec aequatio nt = Cx L d d x x - f3 x. L bf3 ∞0, qua candem
  29. b + bc - bdd
  30. habebieformain acque prima propositarum x+ - l X3. L M M X X-
  31. n3x. 1 p ∞0, ac per consequens ejuldem erunt naturae de consti-
  32. cutionis. Fiac erso adxquatio, unde comparando secundoscer-
  33. minos habebimus 1∞c. L b, hoc est, 6∞0 l = b. Deinde conse-
  34. rendo tertios terminos, habebimus mm ∞o dd ( bc, hoc est,
  35. restituendo ralorem cinventum, Fiec d d ∞ m m - bI- (- bb. Tum
  36. per collationem quartorum terminorum habebimus n’∞f3 L bad,
  37. hoc elt, substicuendo ralorem dd inventum, fiet f3 ∞ 113 - L bb1 -
  38. bmm - b3. Uinde constat, cum innocescit vera radix b, hanc ae-
  39. QuatiOne X =lXX- L mm X - n3 ∞O cribus reliquisinterrire.
  40. L b + bb. - bbl
  41. -b1 Lbm
  42. Lb3
  43. Postremo, conterendo ultimos terminos, habebimus pt ∞ bβ
  44. undelequitur, f aequariZ; et, cognita vera radice b, hanc x-
  45. quationemx3 =IXx L mmx - ∞0 ad tres reliquas eNCre-
  46. Ferendam.
  47. Fb L bb
  48. 2 Froposio.
  49. Prolccha PopoC, Hat ex duabuS, X CXX ddx s. ∞O
  50. X b∞0, haeC aequatiO X = - 6∞ 3 - a cb X X - f3X - L bf3 ∞ O.
  51. + b6 + bdd
  52. N
  53. SuP.

Cite

Ps. 2, fol. 91. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0115?run=74