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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 136v

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: 0.78.

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. 137r); this page is its left half.

The machine reads it as

  1. Utamum ergo explo.
  2. C v - na V - 1a F 0. E
  3. sit YH X fiet:
  4. N+ -uV X. nV+
  5. 12 6.
  6. e
  7. 28
  8. Ergo Xe S0 +6V, + v s18, f-1 + (96V - 128, Y.
  9. Wideamus jan an radix cubica extrahi possit ex ejusmodi binomio,
  10. 6 v + v 129-1 sit aliud binomium f Y - 1. ex eo
  11. excitetur cubus, fiet: 1+ +34 s-1 - 3ta = s. 1 Quod
  12. binomium priori coordinando fiet:
  13. 6V + v sis 6y + v Sis s-19
  14. 9 13 + 32 s-
  15. l3t.. -1 1
  16. ut comparare
  17. Quorum duorum binomiorum terminos respondentes continundo,
  18. liceat rectius, faciamus V⊓ d t A et fiet
  19. ex terminis rationalibus comparatis: 69 + H +3 - 3+, sive fiet
  20. 13
  21. t2 3. et t 1 2s
  22. 1-69
  23. -69
  24. (269
  25. a
  26. Ex terminis autem irrationali quantitat
  27. affectis inter se comparatis, fiet.
  28. vs28 5 3+ - 1. et explecando tam V quam F habebimus:
  29. (3, 28
  30. 2s+i
  31. 69
  32. -19
  33. 1I 169
  34. Ubi faciendo S1 =. Eg B e
  35. fiit aequatio
  36. 3 = - 3 B2 C + 3963 51, 28
  37. e erDse 39 so 128 (95, 1t - 1 + se
  38. H 1 S. 1 - 69
  39. ---
  40. si ul initio tollendo utrobique B fecessemus v +3- 3+ 3F- 1. fieret
  41. 5, 30
  42. -1857- 25,185 = 18, 36
  43. 23, 36
  44. - 18
  45. + 6
  46. sive cubus t suve 6 an s
  47. Sed iatum quod cubus est a 37.
  48. 73
  49. and et vnomino a 18,
  50. +3= 18f - 3t + 6 0 et tollendo terminum secundum:
  51. 1 S + 6. fici S (+ 185) + 3, 365 +
  52. quam quas
  53. a 6, 36
  54. 66 imo sunt aequales
  55. quad tantum aut 3C.
  56. Sed erratum tamen nonnihil in calcudo scilicet debet esse.1876
  57. V1
  58. 3te
  59. 3+7 - C unde 43 - 184 = 3 + 6c
  60. 120
  61. Y28
  62. Uode omissa tamen c. impraesentiarum fiet: t s+ 6
  63. Unde
  64. 128
  65. 1i8 C65
  66. 3,
  67. (63
  68. 28S
  69. L18 ,6S
  70. V28 sas
  71. 216
  72. 28528 12 216
  73. -18, 36 5 1i8
  74. 128 28)
  75. sig
  76. + 6
  77. 128
  78. s28
  79. quaeritm jum ad
  80. 16,3
  81. 28
  82. erbus a 36 sit major
  83. sit major quam quad.
  84. 216 + 12
  85. 28, 128
  86. V28
  87. an
  88. -1 8
  89. sid
  90. 8t
  91. 26
  92. Tubus a 36

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 136v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0272?run=74