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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 8r

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. c
  2. 16-18 19
  3. 19 : (dd 20
  4. : 3bdd L ddd
  5. 2b L d
  6. 20 (21 : b = d..- quod eft contr.. hypoth..
  7. Vel 14322 b = d
  8. 22 X (dd 23
  9. 23
  10. 1b- 24
  11. d. 13
  12. 3277.
  13. 5.2.1
  14. 6
  15. Sit.
  16. 1328
  17. 24
  18. 25
  19. 26
  20. 27
  21. bad = ddd
  22. 3bdd = ddd
  23. 2ccc = 2bbb
  24. :c L b........ quod est contor.. hypoth..
  25. Aequat.. aa a - - 3bba -
  26. est impossibilis ... quod erat ostendendum.
  27. b- + d -
  28. 29: aaa . 3bba =
  29. 2,2930
  30. sit 1.
  31. 31, 32
  32. S
  33. 32
  34. 33
  35. 33, antitu 34
  36. Aliter.
  37. 6bbd
  38. 6bdd
  39. ddd.. quam aequalitatem esse im
  40. aequat.. Commun. aaa - 5bba - - 2CCC.. in qua...-
  41. b =c... est impossibilis.. quod erat demonserandum.
  42. Lemma.
  43. Ostendendum est Aequationem... aaa - 3bba --
  44. daa.. es
  45. Hb - 36bb -- 2b6b - 6bbd- bbdd- dad. impossibilem.
  46. 6bbd + 6bdd + 2 dad --0.. quod ese impo ssibile
  47. Sit 2. 35 a = b H a = b + f
  48. -360b - 2b6f
  49. = =b8b - bbbd - 6bdd - 2dd
  50. 3bff. + fff. + 61d + 6bdd +2 ddd -- 0.. quod ese quoque impossibile
  51. Sit 3. 33 a = b u a = - b- f
  52. 31,38 (39: bbb - 36bf + 3bff fff.
  53. 11: ( 47
  54. ade
  55. possibilem sequenti Lemmate demonseratur.
  56. a = - b
  57. 31,35 36: 6bb + 36bf +3bff f
  58. 36, antil. 37
  59. 39, antit. 40
  60. 40
  61. 41
  62. 36bb + 3bbf
  63. 2bbb -66bd -6bdd - ddd
  64. :3bff + 6bbd + 6bdd + 2 ddd =
  65. :3bf fff
  66. : 3b L f
  67. s
  68. =- 2EcC..- in qua b =C..
  69. b
  70. Sbbd
  71. tad

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0015?run=74