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Leibniz-Handschriften zur Mathematik LH 35, 4, 7, fol. 9v

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: 0.82.

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. 10r); this page is its left half.

The machine reads it as

  1. qua sciticet sais nius radiris rentus)
  2. regulis Cardani non isi quarundam aequationum Cubicarum Cresolutione
  3. haberi exe diserte asserun. (axesi, quii etiam, summus utique vir quod
  4. nihil magnopere resolutiont agrationum a per ir irationates radices aequationum
  5. altiona ineniri non fera Adeo ut nec rationales earum epe, quae faciunt
  6. imagniaris duci posse scivere.
  7. quod nos c
  8. formulis
  9. ostendemque
  10. ostendum, inde de irratio nalibus generalem dimonstrationem dabimus
  11. sit Aequatio:
  12. speciem
  13. endi
  14. Sed hoc primum de grationalibus
  15. X3 - 13X - 12 10. per regutum Cnus rationalis
  16. radix rationalis vera est 4. Ex regulis autem Cardam est
  17. ((3) 6+ Y - . 225 + +(3) 6 = s - 1225 quam quantitatem ostendam
  18. 27
  19. Tirie
  20. probo
  21. Quod sic ostendo
  22. sive B vel quididem essi .
  23. A valet 2 + Y - = sive (et B valet 2 - s - =, utique A 4 B.
  24. sive
  25. B A, 13B valebit 4. Assumtum probo, si cubus a 2 + f ralet A sive
  26. sive
  27. sive
  28. D sue a
  29. 64 f- 1225. n et si cubus a 2 - t Z valit B sive 6 - Y-
  30. utique C 24 +- salebit A, et 2 tu valebit B.
  31. si Ce A. et B D B.
  32. si
  33. -3, 73.. H -2
  34. 1CL
  35. +24.
  36. +24 1
  37. + - 1225
  38. Eadem modo sacite ostendetur
  39. cubum a 2 1 - dare 6- 1- 1225
  40. 27
  41. Ducatur Cmi scipsum
  42. Cubice: C vel 2+ s - = in se ipsum cubice, fier. 6 + s-
  43. +8X
  44. +6
  45. i7
  46. 22+
  47. 227
  48. Olalo haec ens.
  49. d
  50. per
  51. Y-
  52. -
  53. 27
  54. vel
  55. Sive
  56. AIBLIDTHEBH quae Rursus
  57. RELck
  58. HABIAODENana
  59. semili calculo ostendetum
  60. rationalis
  61. Ilem si radix sit falsa, ut in aequatione
  62. dab
  63. vel
  64. sive
  65. aut
  66. cujus rudix X +6 X p, - 6, id est ex Cardanica
  67. Cardanicam, vatere
  68. led 5582
  69. + - 1225
  70. 36 X - +BX -72 (0
  71. ostendetur formulam
  72. 1(3) 36 + 1 - 2900 + 13) 36 - 1 - 2800 valere, - 6
  73. sumendo X esse - 3 + f- 7 - 3 - s - 7
  74. 1-2
  75. +9
  76. 5-2
  77. 23 3 3

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 7, fol. 9v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068004:0018?run=73