Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 26

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: 0.82.

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

The machine reads it as

  1. de
  2. a5 a a b3
  3. P X I N C I P L A
  4. aaca = aa d d relInquCEu 25 = a a b3 - b+ d
  5. 125.
  6. ∞ = 25
  7. b4A
  8. aacd aadd:
  9. aac d - a ad a. SiC de CITollatur
  10. 23- - 30 X ∞ - 625
  11. ∞3 = 25 ∞ _ N - 10∞ f2, LCMaNCDIL ∞4 - + 5 ∞3- 25 ∞ N - 125X
  12. Fadem racione ad subducendum aa = ab
  13. a. + 3 dea, reducta quanti-
  14. tate a ad denominatorem a = b, demiptoque 2a = ab a a + ab
  15. 2ab
  16. a + b
  17. het reliquum a. +. 8. Non secus si Cubrrahatur b. ,
  18. relinquetur a - b + d
  19. De Mulciplicatione fractionum.
  20. 2b
  21. a + B3
  22. de a - f b.
  23. D multiplicandum = per =X mulciplico numeratorem ab
  24. per numeratorem de, ut ee denominatorem cper denomi-
  25. natoremf (ad modum tractionum rulgarium), ticque productum
  26. abde.
  27. aa- bb
  28. multiplicatum per 2ac
  29. diC d
  30. b. Fc
  31. producie 243b -- 2 ab3
  32. 60 +cc
  33. Ad Faciliorem autem operationem non raro convenit abbre.
  34. viare quantitates per crucem. Cr ad mulciplicandum
  35. aac = aad -- bbc + bbd a3 - a bb
  36. aa + 2ab F bb Per Ca = da: Quoniam A AC = a a d =- bbc
  37. bbd _ cd - d d reducuntur ad limpliciores a a -- bb de d, ut &
  38. a3 = a bb _ aa + 2 a b f bb adt a a = a b X a j b; hinc loco1muI-
  39. tiplicandi a ac - a a d -- bbc. + bb d per a = abb mulciplico aa bb
  40. per aa - ab; ee loco mulciplicandi aa- + 2 a b - F bb per c d - d d
  41. multiplico a- L b per d: eritque productum -= a3b - aabb. +- ab3
  42. ad = bd
  43. Porro ad muleiplicandum a a - bb pcr 2 a = a b
  44. a + B: Substituto F
  45. pro denominatore ipsius a a = b b, GuOnIAII NUMIETATOF A a -bb
  46. e denominator a L b reduci polune ad a - b e Z, hinc multi-
  47. plicatis numeratoribus inter se, ut a denominatoribus, Hec pro-
  48. duCtum 23 = 2a ab + abB
  49. (eu a3 = 2 a a b F a b b.
  50. Eademratione cum mulciplicatur a. L
  51. aa = ab + bb aa - 2ab + bb
  52. BPeFa- 2b. + =, hOC
  53. : Quoniam a a - 2 4b f bb
  54. 80

Cite

Ps. 2, fol. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0050?run=74