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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 7r

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.

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The machine reads it as

  1. Sit 1- -- - 6
  2. 5, 6
  3. 6. + d-
  4. 480205.
  5. Ostendendum est Aequationem Communem...
  6. --- aa - - 2 ba
  7. -cc... in qua
  8. b = c... esse impossibelem.
  9. mulaca c.. in b + d, erit .. aa -- 2ba -.-
  10. id autem obiter est demonstrandum...
  11. a b
  12. Lemma.
  13. Ostendendum est Aequationem...
  14. aa- 2ba =
  15. : bb - 266 =
  16. b6
  17. 2bd
  18. 9 a = b I a = - b + f
  19. 10): bb- + 2 bf + f
  20. 30, antit.. 11
  21. Sit 3.
  22. 18, antit.
  23. -2bb - 2 bf -
  24. dd.... quae a
  25. H. + 2bd. + dd - = 0..... qual est quoque impossibile.
  26. bb- 2bf + f
  27. = 26b + 2bf.
  28. :f + 2bd. + dd =
  29. Aequat...
  30. bb = 2 bd - dd
  31. 0.... quod est deiam impossibile.
  32. a a a - 2ba - -- bb - 2bd - dd.... est impossibilis.
  33. 16: Aequat. - aa - - 2b a = = - - cc.. -. in qua b c.. ett impossi.
  34. 19
  35. b
  36. bilis... quod erat demonstrandum.
  37. bb - 2 bb -
  38. cc
  39. b
  40. Aliter..
  41. 19, ad H. 20: c = b...- quod est contra hypoth.
  42. Sit 2.
  43. 1321
  44. qualitas est imfossibilii
  45. = - bb = 2bd - dd
  46. 12 a = b. H a = b- f
  47. 13, antit. - 19
  48. 8,11, 14
  49. 5, 1
  50. 2bd
  51. dd.... esse impossibilem.
  52. = = bb - 2 bd - dd
  53. 7,antit.. 8): 2bd- + dd = = 0... . quod est impossibile.
  54. Sit 2...
  55. 539
  56. 5312
  57. 13
  58. 13
  59. 21 a = b _ a = - b- 1 d
  60. 22: bb + 2 bd + dd
  61. 2bb -- 2 bd =
  62. Sit.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0013?run=74