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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 140v

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. 141r); this page is its left half.

The machine reads it as

  1. sumta jam aequatione
  2. 16 -6ma rona V
  3. -n
  4. n6
  5. -2m n
  6. sive a X3. =omna X +omnax u lepjo ponendo aV y
  7. 6
  8. =2m
  9. Vata sit alia aequatio: Cd = 94 + 2 (279- a t
  10. quae est intractabilis per regulas Cardani, quia triens a 9q
  11. mole cognita termini penultimi est 39, cujus cubus est 2796, qui
  12. utique major est quam 279- a quadratum a qu 27 4- at dimidio
  13. termini ultimi. jam faciamus a XF-29 Y3
  14. fiet a aequatioe
  15. X 3, 1913, X +3, 49, X 8, 4,3 t
  16. 94. l. + 993913
  17. 2
  18. + 2274- a +
  19. a X 4. 4913 X. - f 274 - 469as
  20. +2279- a
  21. quam aequationem comparando cum priore
  22. 2
  23. a X 4- 6mna X
  24. + omna X, - m
  25. =
  26. 6
  27. = 2M 21 3
  28. fiit ex collatis terminis secundis: mnri aq t3, sive mn 3aq
  29. Excollatis autem terminis tertis: 9nin f 274a, id est min 34 a, ut ante
  30. consentiunt ergo hae duae collationes; et rostat tertia, ex
  31. colatis terminis ultimis. Jam n aq V3. et n p 27 a96
  32. et
  33. n
  34. 2m n 2 a9, 3 (3 ( 6 a9 13
  35. et aequatio collatitia ultima ita stabit.
  36. M + 27 a4
  37. et
  38. M
  39. mo
  40. 6aq 13) 6 a92 sy - 24 5279 - a7
  41. 2
  42. M + + 2a 279 = a m + 279 , + 279 - 279
  43. quae aequatio absurda est:
  44. at - a
  45. 99
  46. +2 179 - a f)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 140v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0280?run=74