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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 226v

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: 0.77.

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. 225r); this page is its left half.

The machine reads it as

  1. Resumumus:
  2. Y +at. Y a la
  3. Et V⊓ S0 l
  4. 2a
  5. tar PX
  6. vli
  7. B2 a a Sa L a sp2
  8. sive compernii ausa y B 0 NL + ade a - a d + S0 N l = ast 3S = ad: porro coytot D at
  9. 2a
  10. Ponatur jam:
  11. 2a
  12. a27at
  13. +4 7a2
  14. b = ad f b - E 1- ad 53. fict anteonnia: b - a atio
  15. D
  16. sive 3a b +C d pi Ah X2
  17. Dc reliquo unam ipsius expressionem vel ipsius O cum altera comparemus, sufficit autem eligi unam, aut potius
  18. fignis aohibitis ambignis altentram: V cubetur ergo b +E. f - ad. fiet: b + 3bc s- ad +bE2 ad Ead)a
  19. sive +ba
  20. it
  21. + Ilica Y- ad
  22. ed..
  23. a .
  24. Unde duae aequationes: l , a b = 3dabc
  25. et altera:
  26. Et jam supio habuimus:
  27. a N3 3bca = d B
  28. hae e 3ab +3dc
  29. Unde sequattur: a hab hde , 3a b +, aede
  30. Unde jam: 1a3b - 3d ae bc 1 34 lbc - l d c3
  31. sue:
  32. a b = 3d ae bc 4 3a l b c - 1d C p
  33. ponendo l esse B - 1. fiet b e c sive a b + 3 albC - 3a dbc - 1d C2
  34. Si l. ponas sequantitatim affirmativam, signa instar cubi disposita erun
  35. Aliter.. N+ F ab + 3d 3b ca = dC. Ergo N p, 3b cah - deti
  36. a N
  37. 3ab + 3dac
  38. et s p, 3ab 4yde H aeb - 3dabc 36C a - de
  39. as
  40. porro: d5 a b - sl ( e 3b ca - a s
  41. 3ab
  42. fiet (bd = sel c (9) ab ca - 3 a set
  43. pursus 4 2b ca - a N
  44. A
  45. nN = 3 ab unde (9l ca - 3a N ch 3abC
  46. 31
  47. est autem et H. arbitraria, sam ergo explicando satisfactum ert uni aequationi
  48. explicando scilicet n, quam includit. Et quia in altera aequatione non redit p
  49. tur solutionem haberi planam: imo orov. L. scilicet ingreditur ab altera
  50. parte quae etiam continet M.
  51. Dantur autem duo valores C, nempe C ⊓ 3 aN b
  52. unde na l (+2 + a b.)
  53. 2 H-B Hm
  54. 3L
  55. N3a b nba- et
  56. h b X
  57. ; H +3L in A+H in a
  58. separetur haec aequatio in mas: sed non possunt distingui ut sunt
  59. tieit. 3 set - RY L a + : A2 +3 Lm + Hna b
  60. 13) 1d
  61. 2
  62. ideo haec explicatio nihil praejudicat, caeteraque sumi pro arbitrio possunt unde sequeae.
  63. tur mei
  64. Hm

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 226v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0452?run=74