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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 10v

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

The machine reads it as

  1. P20205.
  2. Ostendendum est Aequat. . commun.. . aa - - 2 ba = = - cc. -- in qua
  3. b = C... esse impossibilem...
  4. Demonstrat.. Synthet..
  5. Bantit. 3 aa + cc + 2 ba
  6. Sit 1.. 4 a = c
  7. qartit. 5 a -c = 0
  8. 5dH. 6 aa - 2ca + cC 0
  9. 6, antit. 7 aa 1 CC - 1 2Ca
  10. X 8 2a
  11. 2X 8 9 2ba = 2ca
  12. 239 10: a a -F Cc = 2 b a .. . . quod ese 1..
  13. Sit 2. 11 a = c
  14. 11 antit 12 a c = 0
  15. 12 DH. 13 aa - 2 ca tCC= 0
  16. 13, antit. 14 aa YCC = 1 2 ca
  17. sit 3.
  18. 15
  19. aa t cc = 26 a . . . . - quo est 2.
  20. 16 a = c
  21. 16, antit 17 a c 0
  22. 12, 15 18: aa-L Cc = + 2b a . . . . quod ese 3.
  23. Conclus. 19.: aa = 2ba - cC .. . . quod c. 0.
  24. 310
  25. Confertar.-
  26. vel potiul.
  27. Hypoth.
  28. Aequat... aa - 2ba = - cc.-- in qua b = c... est im.
  29. possibilu. quod demonserandum proponebatur.
  30. Aliter.-
  31. + Zca
  32. ec. 5.
  33. PV. Ana
  34. 20,2. 1
  35. 22
  36. 2X (2a (21 2ca = 2ba
  37. aa 2ba= - cC
  38. i ad Cc = 2ba
  39. inba . quod etat pdbanoum.
  40. SHFOR..
  41. Hygoth.
  42. b-+
  43. d
  44. d. F cd
  45. = bc
  46. aa CC

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0020?run=74