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Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 5v

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. 6r); this page is its left half.

The machine reads it as

  1. prr aequatione
  2. fieret; bE - a
  3. bx - ha +) ed ponatur.
  4. H 9
  5. d
  6. bhx = ha
  7. d
  8. 1
  9. h9
  10. XHhE
  11. porr bei +a et ee Unde bEp dg. et si b, et
  12. d. sint primi inter se, 1 fiet: vel 1g. multipla ipsius b, vel si ipsius d.
  13. alterntro horum positores procedit. Et hoc est ille analyseos j transitus
  14. ad numeros, dua scilicet ex b0
  15. seu bE-qdnar sed non
  16. video quid inde possit duci., nisi forte, quod pontudo 3 d +
  17. Resumamus.
  18. X cid + ea = ca. d si d est diorsibilis per b. necess
  19. si d est divicibilis per obi necesse est etiam e C, esse divisibilem per b.
  20. sina non est divisibilis per b, pone X11 F
  21. sa si ea -ca est major quam b ponatur ei p h- Ib
  22. et ert i codqa
  23. et dpi si major quam b, erit M - nb
  24. fiet X ri com + ha - nad - l.
  25. Ergo com +ha. aequatur integio. ubi constat neque in neque h, per b dividi amplius posse
  26. b
  27. ergo explicanda restat co erit scilicet co A b + n.
  28. unde cm A bm + m + ha
  29. YH
  30. Am + am + ha. Jam neque h, neque m
  31. neque n dividi potest per b. tantumque res eo redacta, est ut videndum sit, an
  32. nm ha
  33. possit aequari integio se. unde bs = ha . sed inde tan-
  34. m
  35. dem video ad metliodum meam alibi a me adhibitam redeamdum: sit itaque calculus.
  36. X. 19dCd +4ea = 15ca. Quoniam nihil hic lucrari possumus abiscindendo, invertatur, fier
  37. 28b
  38. 28b X + 154 - 4 ea co.. pone 2b, 19+ 2n19d + 11 m a
  39. 19d
  40. froi cop LnX +1m X + 15C a = 4 ea) c Ergo 11 mX + 15ca- 4 ea p :
  41. 19 d
  42. a
  43. a
  44. sive 19dC + 4ea - 15Ca X. Ergo Et ponendo 19H 1gd _ rpum +89a
  45. 11 m
  46. Unde Xp 1PC +
  47. equ +4ca Isca, unde 11 mo+isca - 4Ca Cd. et Um, 1r 89+ 3sa
  48. 11 m
  49. e
  50. 80
  51. unde cd H 1X 6V + 3soi + 15ca - 4ea et 89 ( 2 f 3) + 2va, adeo ,
  52. ts
  53. adeoque op 2+ A + 2vA +aea isca + D. et 3SB IW 2V + ∞N 17 a
  54. adecoque Ap n0 B + 2D + isca - 4e4, + d. adeoque D1 2vd + 4ea - 15c a
  55. a
  56. Adeoque AY 1WV ~ aVD + aea -Hsca, + d. et BV 2t sie 1 2vd 44ca - 15ca + 5 n + avd + ea 1sca
  57. WB it
  58. d taea Lisca, +d + 2vd +aea ti5 ca + 1wac 2vd taca isca +s
  59. a C a
  60. ea
  61. 7
  62. cops ta

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068240:0010?run=74