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

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: 0.85.

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The machine reads it as

  1. 22, antit. 23
  2. 23
  3. 24
  4. 24, ad H. 25
  5. Sit. 3.-.
  6. 1,26
  7. 27, antil.
  8. d. 253
  9. sit 1.
  10. cc -+ dd = bb
  11. icc = bb
  12. :c = b........ quod est contra hypoth.-
  13. 26 a L b H a = - b- d
  14. 27
  15. 28
  16. 29
  17. 3
  18. 4
  19. 4.antit. 5
  20. 5 (2 6
  21. 6, ad C. 7
  22. bb- 2bd + dd
  23. 2bb - + 2bd -
  24. cc + dd = - bb
  25. am CC
  26. c - b...- quod est contra hypoth.
  27. Aequat.. Commun. a a - 2 b a.
  28. Oscendendum est.. Aequationem communem. - aaa =- 3bb a =
  29. in qua b - c.... esse impossibilem.
  30. a = - b
  31. Demonserat..
  32. bbb = 3bbb = = 2ccC
  33. : 2cCC == 2bbb
  34. ccc = = bbb
  35. :c b... quod est contr.. hespoth..
  36. :Hb + 3bbd + 3bdd- + ddd
  37. 3bbb -- 2bbd.-
  38. grantit. 30 2ccc- = 3b dd + dd d-
  39. 30.
  40. 11
  41. 2ccc = 2 bbb
  42. 11- (2 12: ccc = bbb
  43. = 2bb6
  44. 12 ad C. (13) c - b .... quod est contr.. hyfoth..
  45. Sit 3. 19 a = b H a = = b - d.
  46. 514
  47. 15, antit. 16
  48. CC... in qua
  49. bLc.... est impossibilis. quod erat grobandum.
  50. Propos..
  51. Sit 2. 8 a = b _ a = - b. 1 d
  52. 1.8
  53. 9
  54. 13
  55. bbb - 3bbd- + 3bdd- ddd
  56. 3bbb F 3bbd
  57. 2ccc -+ 3bdd -
  58. 2 X C ub. 17 ccC = bbb
  59. 17 X (2 18: 2ccc = 2bbb
  60. = 2bbb- + ddd
  61. LCCC
  62. 30
  63. C
  64. 2
  65. d
  66. Sit
  67. ou
  68. Sit
  69. 3
  70. 36.
  71. Su
  72. 31
  73. 39
  74. 4

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0014?run=74