Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 271r

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: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. icus
  2. summa mmum an An possint inveniti Eduo cubi aequales dato s B + 2 +3cCC (+ C) B (C)
  3. sit b d - C, erit d= 3de d (= C3 + (3) + 3CeEp0 et ponndo. d fc, fier :
  4. C 2se se fiat -3dc2 + 3eC2 10. sive dpe, et restabit: a rb
  5. e3-
  6. eC +3CC20. et foret e10. hoc ergo non proaedit, quid si sic.
  7. sit m C+- e. fietque. d3 + 3ed d 50 sive d+ 3ed p 3C2
  8. et pro d ponendo ed fier: Ad + 3d p 3. sive d +3d + ZB
  9. sie d+55
  10. 2
  11. +3
  12. H = 3 + Y9+ 12521 quod quae hpothesis non perducie
  13. ad numerum quia ex 21. non potest ex trahi radix. monem
  14. A
  15. Ergo resunta aeq. O faciamus d ( fe. fiet : fC - 3fC fc +3CeC 70 on
  16. sve + f.3 2
  17. DC et fiet X4E 41 +(X + aequ.
  18. -352 +3C c + 3e hioi c +3
  19. 3f. +de.
  20. 1+ ytub HA
  21. c + ge
  22. ge
  23. f2. 35235 4. H 733F 23f 4(2 s 2t
  24. et habebimus. Et problema hac reducetur, ut tantum
  25. 9- 12 I1f3-3 f. 3f debeat esse quadratus. excitetur quadatus ab.
  26. 3 + g f2- 3f. 35, fer: 9 + 39F2. 3F2- 3f + gt (7 f - 3 f. 3f, qui si aequetur priori
  27. destuncto utrobique) fiet: et f- 3f2. 3f pocarndo h, fiet: -12h 7 39 +g h et faciendo
  28. 45L. Unde fiet aequatio cubica, ex qua
  29. extrahendo radicem per regulas sardani, statum judicari poterit, an ope solius quae superest arbihar
  30. G possit reddi S rationalis. Unde patebit usque Algebra in diophantaeis. Si tamen problemi
  31. sint nimis simplicia, credo nihil novi ex radicibus disci, ut si quaeratur an possit ex, esse
  32. X+V p, C dato fiet xpVe-. unde nii discimus. explicemus tamen quantum possumus faclendo.
  33. X P7
  34. bin + cp, et Y dm + fp. fiet m +2bCMB + e n2 p e ante omnique patet
  35. +2dk. + C2, 1
  36. si duoquadrata aequari possea nchilo haben quaesitum sed hoc impossivnle
  37. b+ + 26d + d+ nEp, 6c + 2b cd ft 42 ta
  38. nt + 2bc + 2d f, b et + 2bcdf + dus
  39. -
  40. ta
  41. ebet aequani quad rato. sed haec pulixiora. Ind
  42. ractus, ut , fore
  43. e
  44. 2= numerum
  45. 2b4 r +C N + b7abB C
  46. 2b + d7
  47. erim deber
  48. ae
  49. sente pagate

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 271r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0541?run=74