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Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 21r

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

The machine reads it as

  1. sit primitivus qualibet Numerus tali fractione expressus
  2. si e vais existis c. P- 1. C- 2. c- 3. ete est divisibilis per e, excepta ea
  3. 1. 2. 3. 4. etc
  4. Cujus ultimus confactor divisoris est e
  5. ea
  6. enim ipsa est. 1
  7. proxime mnor
  8. fractione
  9. si numerorum divisoris maximus sit minor radice quadrata ipsius e necesse
  10. est, ut inter divisores eas sit aliqua ex aliquobis partibus ipsius e.
  11. si constaret si non-primitivus e habeat aliquotam partem majorem
  12. sua radice quadrata; necesse est
  13. C. C- 1. C-2. C-3 habere commune
  14. 1. 2. 3. 4, etc
  15. divisorem cum e(fractionem eo usque productam donec in divisore occurrat
  16. minuitivas proxime minor epis radice quadrata ipsius e
  17. habere communem divisorem cum ipso e
  18. logoo Quin et generaliter prodbuntiari protest poductum
  19. 26d28continnorum, a qualis est 1. 2.3. 4, etc. usque ad numerum
  20. 60r
  21. proxime minorem radice quadrata dati numeri e, habere
  22. communem divisorem cum ipso e, si modo e sit
  23. 9630
  24. non primitivus
  25. 6
  26. 10
  27. 24 120
  28. 720
  29. 5040 4320) 36280)360199e) 3 9916800
  30. productus continuorum usque ad numerum
  31. a dato differentem dinarie qui antemaecedit
  32. datum relinquit I. si datus sit primi–
  33. tivus si minus re Et generaliter
  34. quicunque sit datus relin–
  35. quelnumerum cum dato sin datus
  36. relinquet
  37. sit derivations eliaquet numerum
  38. qui cum dato habeat communem men-
  39. ssiam
  40. unitate majorem.
  41. 12 3 4 56 7 s 9) 10) 1) 12) 13]1
  42. (7 (1. 2. 6. 7. 1. 6. 8, 3. 15 14 16 2
  43. est
  44. 15 17
  45. a
  46. 1
  47. 1t
  48. 4 362880
  49. 62
  50. lg 1b
  51. 0
  52. 4032
  53. Eg
  54. si
  55. ve
  56. B
  57. Ha
  58. 34.
  59. e
  60. 1
  61. 2g
  62. 12
  63. 3
  64. 365
  65. potare
  66. 24d
  67. Abers. 0+ 263
  68. 9
  69. ese
  70. ot
  71. geoz rofe 792
  72. e
  73. t
  74. us
  75. 1 +5
  76. e
  77. et
  78. 50
  79. Ae
  80. isis
  81. 13
  82. 16 A
  83. 16
  84. 10
  85. b
  86. 2b s
  87. t 48323
  88. in

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 21r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068261:0041?run=74