Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 13r

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. 12v); this page is its right half.

The machine reads it as

  1. quia quivis residuris est minor divisore primo seu simplice
  2. deo
  3. non nisi unitate differre a simplice divisore, ergo
  4. quasi esset + B +
  5. 2
  6. + +E + et
  7. 7a
  8. 15
  9. p
  10. 1e
  11. 26
  12. p sed hoc = 1 - 6) Ergo quantocunque D sint
  13. nundratores simplicium fractionum, semper componunt
  14. a
  15. ABB 1 b- 1+ b + b +b
  16. 6
  17. fractione
  18. unitate minorem. Et proinde numerator productus per redactionem
  19. +b
  20. singularum fractionum ad communem denominatorem, est
  21. usiduum divisionis totalis numeri dati, 135291 per
  22. numeri dati maximam maximam divisoris dati smplicits
  23. potentiam.
  24. Et haec est propositio
  25. 6 numero dato proxime inferiorem
  26. in hac materia fundamertalis
  27. 128
  28. 256
  29. 512
  30. 2
  31. 10
  32. 12
  33. 1024 2098 4096
  34. 2
  35. 4
  36. 44, 39
  37. 338
  38. 21)
  39. 16
  40. et
  41. 128
  42. quandm residuas est minor divisore habent
  43. sunt in ea ratione sunt
  44. divisore.
  45. habentu residui potenti a potuli
  46. eandem inter se rationem qu
  47. minores
  48. 338 est dupl. ipsius 169
  49. 4c
  50. 2
  51. dupl. ipsuis E2
  52. duplo ipsius C
  53. e +Y
  54. habent residui a tedice, quamdim
  55. (Y=
  56. 40
  57. A
  58. 2
  59. 76]B
  60. eq
  61. N211
  62. 99
  63. 1
  64. i
  65. c2
  66. A
  67. p2
  68. ee
  69. EAB
  70. 4)
  71. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 13r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068261:0025?run=74