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Leibniz-Handschriften zur Mathematik LH 35, 4, 17, fol. 8r

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

The same scan is also registered as fol. 9v; its text is given once, here.

The machine reads it as

  1. 1+ I aequ 1 + Z + Z. Z.
  2. 112
  3. +
  4. Z. Z- 1. Z-2
  5. 1. 2.3
  6. ax Z.7. 13-2.3-3
  7. fera
  8. 1.2.34
  9. 1- 1 aequ. 1 - Z + Z. Z- 1 + Z. 7- 1. Z. 2 = Z. Z- 1. 2. 273
  10. 1.2
  11. 1 - 2 + 1, 1- 3 +3 = 1aqu0
  12. 1. 2. 3
  13. l. 2. 3.4
  14. -4 + 6 - 4 + 1 aequ. 0
  15. narum aequationu divisibilis per c=1 aequ.d
  16. Hi numeri si multiplicentur per progressio nem het
  17. HaceteaqCu4C quamcunque
  18. productum fit aequ.0.
  19. It1 + 1 - 1 aequ. 1+1
  20. Ergo 1+ 1 aequ. 2 + 2Z. Z- 1 + 2. Z. Z- 1. Z- 2. Z. 3 dsc
  21. -- Z1
  22. C
  23. 1. 2.3.4
  24. seu 141 aequ. 1+ Z. Z-1 + Z. Z- 1. Z.2. 3-3
  25. Rursus
  26. 1. 2
  27. 1.2. 3.4
  28. Ergo 1+ 1_ aequ 2Z + 2.Z. Z- 1. Z-3
  29. seu- 2.1
  30. +
  31. 112. 3
  32. 2. Z. Z. 1. 7.2. Z. 3. Z-4
  33. l2. 3. 4.5
  34. 1+1 aequ Z + Z. Z- 1. Z.3. + Z. Z. 1. Z- 2. 7. 3. 3. 4
  35. Ergo
  36. iC 1.2.3
  37. C1. 2
  38. 1.2. 3.9
  39. aequ Z + Z. Z- 1. Z-3 +
  40. s
  41. 1. 2.3
  42. 3. 2. 3. 4. 5.
  43. C
  44. sc est aequ.
  45. y. 7 - 1. 7-2. 7.3,7-4 D
  46. L 1.2. 3. 4.5
  47. Cimpar
  48. Hinc sequitur si Z. sit numerus primus, adeoque
  49. posse dpr D - 1 dividi per y.
  50. nam terminus ultimus, qui valet 1. detrahendus est.
  51. Ergo si q numerus primus, etiam O-1. dividius
  52. potest per Z. Ergo et + D - 2, seu 1t1 -2
  53. dividi potest per 7. quod et aliunde patebat.
  54. si vero Z sit numerus par res est paulo subtilior
  55. non enim coincidunt numeri in termini in O et D.
  56. Si numerus aliquis dividatur in duas partes
  57. aequales sitque una divisibilis per imparem,
  58. etiam totum per imparem divisibile erit;
  59. et contra si totum per imparem divisiblle
  60. erit et pars erit per imparem divisibilis
  61. Z-1
  62. Ergo si 1+1 -1 divisibile per imparem
  63. erit et 171 =2 divisib. per imparem Z.
  64. jam 1x+ v divisib. per Z. + si Z 1 primitious
  65. et 1+1 - divisib per Z si Z primitivus.
  66. Z
  67. 1+72 - 2 divisib per Z6 si y C primitivus ) Ergo condivitui
  68. 1+
  69. 122 = 1 divisib. per Z. 4 si g. + primitivqs hoc p se patet
  70. 1 14- 2 divisib per Lu2 si Z.2 primitivius

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 17, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068014:0015?run=73