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Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 10v

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: 0.74.

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. 20r); this page is its left half.

The machine reads it as

  1. Ia omisso secundo termino calculus breviter
  2. erit talis: X +c X + dX + e aeq. 0.
  3. scribamus X + m aequanX + p fiet:
  4. X +2 X + mn aego nn XX + 2n p X + pp
  5. seu X+ + 2m X L En p X + mpr aeq. 0. comparanda datae
  6. =nn
  7. = pp
  8. fit: m aequ ZC - 2 nn et qu. mmaequ Cc - = CMna L M
  9. ace
  10. e
  11. rursus p aequ -d: 2n et pp aequ dd: 4 nn
  12. denique nm - pp aequ. e. ergo fint n - 2C n + ce nn aequ dd
  13. + =4e..
  14. et fiet XX = n X + +C aequ. 0.
  15. inn
  16. d. 2h
  17. pro n punatur Y + 2C fiet
  18. n’aequ. y +32C y + 3. 2ccy + 8 c3
  19. 7
  20. = 2Cn squi = 2C y8 v. 2C. 4 y - 1c. 4c1
  21. 4 ccn
  22. oc y +cc. 2
  23. ac
  24. . 24c. 2C
  25. = Lcc y +Z Cd aeq. 0.
  26. -4C
  27. -8 ce
  28. - dd
  29. Itaque proposita aequatione quadrato quadratica generalis
  30. secundo termino caren,_ X + C N + dx + e aeg. 0.
  31. reducetur ad hanc quadralieam: XX yC X + LC
  32. seu X X + Sy+zC X + sC
  33. - + y
  34. e
  35. et y
  36. Pago
  37. + d2syrC
  38. dusg
  39. inter vemiente hac cubica secundo termino carente;
  40. Y X - ZCC Y +Z C
  41. -4C. -8 ce
  42. -dd
  43. )aeq. 0.
  44. C
  45. si XX + pX aequ. q fit: X aequ - p + 2 q + pp Ergo hoc laco
  46. X aequ Z Ly+ = c + s (.9 (= 49) + d, = + y (+ F B
  47. 42ty+3
  48. ae
  49. -dd
  50. d aequ y3 X
  51. seu
  52. 24.
  53. +3e2
  54. c
  55. 8 - 24 + 1B l aq. 27
  56. 27
  57. 27

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068220:0020?run=74