Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 200v

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: 0.84.

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. 199r); this page is its left half.

The machine reads it as

  1. d +
  2. vel aposomos
  3. si quis un divisiones per binomia in divisiones per simplicia
  4. resolveret rem magnam praestaret, ut
  5. b + c
  6. invertatur ratio erit
  7. b + c.
  8. quaeratur ratio rationum; primum praeposita rave
  9. vinomium puaeponente
  10. H
  11. b +c
  12. boc fiet b+c b+C a = b + C. - b +c + 2bc
  13. a
  14. c
  15. a
  16. a
  17. B+c
  18. a BtC
  19. a
  20. Deinde praeposita rade binomium postponente:
  21. buc -
  22. a b+C -
  23. a
  24. ar
  25. b+ e
  26. a--
  27. b4C2 (2b btc
  28. btc btc a b+c b +C +2bc 1bec X1 2tC bE B+C
  29. e
  30. Hinc intilis, in fallor e axis duci potest. Accidit nonnunquam, H
  31. libenter velimus convertere a in btc sed non possimus,
  32. b+c
  33. a.
  34. quia per consequens etiam alter terminus aequationis invertendus
  35. esset, qui fortasse sic fieret et vicissim divisus per binomium
  36. nullo lucro ut ad a d+ c = a Ergo b+C = 1
  37. quod nobis saepe inusmodum ut expertus sum. btc
  38. a atc.
  39. En ergo methodum, ut invertere, et tamen oppositi in dersio
  40. ne abstinere possis. Inverte ravem, et substitutam divide
  41. per priorem, per productum multiplca altu terminum
  42. aequationis manebit aequatio.
  43. ut: d + e = a. Ergo b +c = d + e b + C + 2bc
  44. b+C
  45. seu dac db d re b+ c + 2bC= b +c
  46. seu dte b+c+ 2bC = b +c
  47. a
  48. seu d+e b +c+ 2bc = ba tcb +C, a.
  49. seu d+ e b +c = a.
  50. 1
  51. bte
  52. la
  53. Nota a- est Unitus divisa per b +C sirgo si oppositus
  54. 1+C
  55. b+c malliplicetur
  56. terminus, divid per terminum cundem btc. pro
  57. a
  58. prodctum d+ e, ea = +. Et d te = 1 et b+C - a.
  59. +C
  60. btc a ate
  61. b+c = 1. Otc Ergo a= atebtC

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 200v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0402?run=44