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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 90v

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: 0.81.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 91r); this page is its left half.

The machine reads it as

  1. 26) Ponatur t X. et (34 XB
  2. ex
  3. fiet Aeq 25.
  4. Video tamen hac methodo non diminui diniensiones ipsius X
  5. cujus rei ratio est, quia omnes tres incognitae olucuntur in se
  6. sic
  7. quod evitari non potest; nisi eas ad altiores gradus dimen-
  8. sionum attollere velimus; utar ergo artificio, ut arbitror
  9. meliore Orvisionum:
  10. Resumatur Aequatio (22)
  11. ex +9 f BxgY F xt Y + + β + a q - x β + fβ + e) + (76)) +a) p
  12. (2
  13. dividenda per β+ + b7.
  14. extqu +lq ut B +bY + Xt y + a9β- Xβ + f β + ey + a)7
  15. sive rq
  16. 2
  17. et +Y + +b)
  18. Jam ut dividatur exacte..
  19. faciamus + eY + aV
  20. + b7
  21. t)re a t Xt + 24B. n ( +5
  22. (20) Et exacte procedet divisio, fictq
  23. b
  24. extq + CxqY + xt V + tB + aq B- x(3+ fB + e) + b) f a)
  25. atloco P
  26. (3t + b
  27. nes+ l’a
  28. Quia valor purus est, quoniam omnes -- l. b. e. a. sunt date.
  29. ac proinde tuto ubique in locum ejus quantitatis X9, substitui potest
  30. substituatur ergo in Aeq. 12, fiet
  31. 84) e (33 en 1) b - bt- et +at + t + ag + f- X
  32. Substituatur idem valor in aequatione 14
  33. 35) ec (3). ella, fier: b + ob at (b(+ est a) C e) (= b + a) + x t ppo quod est absudium
  34. lineus
  35. Neque enim hicin nostra est prletate palveroque pt parcie inculo
  36. aequales: Quare mulandum est aliquid in suppositione 3
  37. scilicet faciamus et ne possimus iterum deludi, novam adhibeamus
  38. arbitrariam, sciliceto ex
  39. faciamus;
  40. +Y + a4( - x β + fβ +. eY 4 a)
  41. e
  42. jam ut dividatur exacte haec fractio, faciamus
  43. ep eY + ay = PY Jrea- p, et 5
  44. Ergo
  45. o
  46. X4 +
  47. b)
  48. +Xt) 1 agB- XB, fB+ p)
  49. m solutio hoc redit. Namem quadrat inverore numem ( pequem aequatio (lex multiplicanda esst, vid. (20) alius
  50. qui auctus tipto quadrat
  51. et pedeas, s
  52. ila
  53. num (31)
  54. X +
  55. =Lb - Ve + Va +HID n c prodiomatum quadtatidum duaeum ncogio demonstrationem a nalysi non detecta. Sumto renim qualiber
  56. 30) fiet:
  57. (31)
  58. (31)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 90v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0180?run=74