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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 174v

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: 0.87.

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. 175r); this page is its left half.

The machine reads it as

  1. ut destruatur oepo. 4 ultinus cinim
  2. ro speciali igitur solutione faciamus
  3. 7
  4. ut destr
  5. Sc Ysb + C: 4b d = 0 seu X +e -c
  6. X 4be - C.: 4b 1b
  7. Ergo ex aequ. 4
  8. destructio fiet: A 4bed - cC - e + 816tbd0- 8bcd +cc
  9. seu a - 16bbc0 + 4bcc + 4be
  10. 4 bb
  11. 16bb de - 8bcd +CC
  12. 1663
  13. Possumus autem ex fer matii Methodo
  14. primme
  15. jam pro valore ipsius y sumere aliam iucognilam
  16. ipsius y
  17. valore hoc invento auctam; et substituendo hac
  18. hanc quantitatem in locum ipsius, simili net methodo
  19. habebunus aliam alium novum valorem
  20. pat
  21. Quod cum ita sit ad videamus quid ab initio
  22. in fonnulas
  23. si pro b cy + dyy + ey, substiturtemus
  24. b pro y substituamus co + V et siet
  25. ce
  26. + b + ccd + dcocd + e c aeq. quadrato 77
  27. d +2d. + 30..
  28. d
  29. etseo
  30. _+Z leb)
  31. C: 4(6)
  32. seu per compendi fut
  33. B) + (C) co + (d) cotd + (esed = 22
  34. unde fieta n +
  35. 12C: 16 a +Z )
  36. C
  37. b+ 19 + dyy+ ey
  38. =d seu
  39. patet
  40. Hinc si (6) (posset aequata quadrato, haberi novum
  41. valorem, nam poterit destini terminus ultimus
  42. quia seu haberi valor ipsius Z rationalis unde
  43. etiam ipsius valor rationalis habetur Vecum
  44. patet si ipsius y valor determinate habeatur, etiam
  45. ipsius 7 valorem sie haberi. adeoque et ipsius cd valorem
  46. interum id comme Caeterum prto hanc methodum
  47. ducere ad impossibilitatum demonstrationum, re
  48. redacta ad meros integros; dure
  49. ditur sugponi _ temper praerequiri minorem aliquid
  50. desi deratum praestantem, nam in integris non
  51. licet a imminuere in infinitum
  52. tanc Methodum etiam altiores gradus adaptemus

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 174v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0348?run=74