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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 3v

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: 0.74.

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. 4r); this page is its left half.

The machine reads it as

  1. ille enim
  2. datis.
  3. aid
  4. semel repertus serviet pro omnibus residuis
  5. Commodissimum ergo est talem quassumeret
  6. numerum X. ut diff differentia inter si residuos,
  7. si per C, et b. dividatur, sit unitas; ita enim
  8. residuorum differentia semper metietur quotientes, quia
  9. Unitas quemlibet numerum metitur.
  10. Hoc autem
  11. eveniet rursus commodissime si numerus. X sit talis, ut
  12. per unum divisus divisorem ulivisus relinguat nihil, per
  13. alterum divisque relinguat unitatensi
  14. Ergo
  15. erit Xa
  16. et
  17. b
  18. 5 + 0.
  19. xa. 5 +
  20. (10).
  21. Erit ergo X multipls pera b. ponamus ergo XH
  22. fier ex Aeg. 10 fiet : Z Y 8 + 0. (13)
  23. an
  24. et ex ateu. 1 fier:
  25. Unde:
  26. b
  27. 215
  28. +
  29. 1 b C t a
  30. na
  31. n
  32. C
  33. 1
  34. quod id ipsum est, quod aequatione 7. dixeramus. ut adeo apparec
  35. consensus sisse
  36. +
  37. aliud superest, quam ut dus inveniamus numeros istos
  38. Numerum Zb, sive Nb, vel X4. quam ad re
  39. v
  40. xeqdendam. emiendum ojam est ad naturam numerorum
  41. Ergo TC + a debet divi di posse p b. Z
  42. Id est quaeritur numerus qui ltiplipatus per datum accedente
  43. unitate dividi possit per alium datum primum cum priore.
  44. id est reperiendi sunt; multiptus a b, et multiplus a C, diffe.
  45. rntes prior excedens posteriorem unitate
  46. 1 2C, 11.
  47. 221
  48. -V
  49. 9-
  50. 10r 14
  51. 39 A
  52. A
  53. 3
  54. V
  55. f
  56. Recenseamus ordine aliquor numeros qui per quos ali unitate
  57. differentes, per alios divisibiles: urnm ma
  58. 12 1N. 8. 91 14. 15 16 N. 20
  59. 1,, 24 37 27 32
  60. e
  61. 72
  62. 53
  63. 44
  64. 2 1) 311, 2t, nc 21 + et i 2B
  65. 10
  66. 45
  67. er s c
  68. 1922
  69. 21N24. 25
  70. 1d
  71. H. 3F + 1 5F + 2T +1 seu T + 2Ft. Ergo (1
  72. Quod ita Analytice invenietur
  73. 122
  74. C7
  75. o
  76. 2u V5

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 3v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0006?run=73