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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 39r

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.

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The machine reads it as

  1. X
  2. Xi
  3. ab X + aaC) Summari rationaliter debe
  4. 3
  5. X = m+ 3mmor gy + 3aamnny + adn
  6. ab X = abmus + 2 abmpyy + ab m ppy
  7. + aabr yy + 2. aabn p 2 + aubripp
  8. aaC = aa CY + 34aC p yy + 3aa c pp y + aac p
  9. Tollatur terminus summus, et fiet m F abm + aac = 0, et habebitur M
  10. jam divicatur reliquum Numerator per coefficientem termini secundi, et fiet:
  11. zaamnn+ abmpp + 2 cabnp
  12. 3aaCPP
  13. zamm n + 2 ab m p
  14. an taabnpB + aac p)
  15. 3ammn + 2ab mp
  16. na b n + 3aaC p
  17. aabn 3aac p
  18. quod dividatur per y+ P et videatur an effici possit ut succedat divisco
  19. compendio sit gu + qy + at dividenda per y+
  20. seu
  21. et
  22. +
  23. 1y + qy + ah
  24. prodibit quotiens y + g, et quotens pp-gp + an fiet = 0
  25. Ergo fiet pp -
  26. seu
  27. Zammn
  28. aa Cn pP
  29. (= 2aabn pP
  30. 3aaC p
  31. aemp
  32. Zaac p
  33. +aabnpp) + aaCp
  34. 3aam nn + abmpp + 2aabnp
  35. a n = 3aannmp + 3 an mmpp
  36. fiit an-
  37. et erit an-
  38. MP
  39. +3aapp
  40. zammn. + 2abmp
  41. aabn 3aac p
  42. +(2 abmp3 - 3aa mnnp + an = C
  43. 1
  44. = - p 1 (m3 + ab m + aaC)
  45. MP =
  46. nam fieret ∞ m
  47. et erit y
  48. sit X =My t an
  49. +pu
  50. Byr3)
  51. Et A Faabu s aa cP
  52. Sampntrabmo
  53. aabr zaa cp
  54. M.
  55. = = m p = abm p.
  56. p
  57. ues
  58. m V + mp
  59. L quod nonlices

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 39r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0077?run=74