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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 73r

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: 0.88.

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. 71v); this page is its right half.

The machine reads it as

  1. tam, quia notum est, quod Numeros Combinatorios etiam extra seriem
  2. habeamus in potestate, inde Problema pene absolutum esse puto quampre
  3. munc ad Numeros Combinatorios res devoluta est
  4. Tentabo autem totum hoc pro Colunui Olis tali modo
  5. ibc +3. + A
  6. abid 4 =
  7. abede +5. +5. 4. +1.
  8. abides -6. - 6. 5. 4. -6
  9. abidefgus 47, +7. 6. 5 47.6.5 + d
  10. abidefgr - 8. - 8. 7.6. - 8. 7. 6.
  11. 1.2. 3. 1. 2. 3.
  12. +9. + 9. 4. 7. +95.7. 6, +9. 8.
  13. 1. 2. 3. 102. 3.4.
  14. 10. Z10.9. 3. -10. 9. 8. 7. 6. 10. 9. 8.
  15. 1.2. 3, 1.2, 3, 4. 5. 1.2
  16. +11. + 11. 10. 9, +11. 10,95.7. + 11. 10,9. 8=
  17. 1.2. 3, 1.2. 3. 4.5. 1. 2. 3
  18. 12. 11. 10. - 12. 11. 10. 9. 8. -12. 11. 10.9. 8. -12. 11. 10.-12
  19. 1. 2. 3. 1. 2. 3. 4. 5. 1. 2. 3. 4.5.
  20. + 12. 12, 11. +13. 12, 11. 10.g. X +312. 11. 10.95, 413. 1L.14 40 + 18. 12. +
  21. 1. 2. 3.4.5.
  22. 1.2. 3, 9. 5.6
  23. 1. 213.4.
  24. 13. 12, -14. 13. 12. 11. 10. = 14. 13. 12. 11. 10.9. 5. - 14. 13, 12. 11. 10.
  25. 1. 2. 3. 4. 5. 1. 2. 3, 4. 5, 6. 7. 1. 2. 3. 4.5
  26. +15. 14.13, 415. 14.1312911. 4 15. 14.13. 12. 11. 10. 9, +15. 19. 1342. 11. 10.
  27. 3. 4. 5, 6. 7. 1. 2. 3, 4. 5. 6.
  28. 16.15. 14. -16. 15. 19. 13, 12. - 16. 15. 14, 13, 12. 11. 10, 1615. 14. 13, 12. 11. 10.
  29. 2. 3. 4. 5.
  30. unior. Vennio
  31. Quiniom.
  32. 1. 2. 3. a
  33. 5. 6. 7. 1. 2. 3. 4. 5, 6. 78
  34. cobinatorius combinator combinatonus septencom.
  35. combinatorius ecepten.
  36. . 2. 3.4
  37. 16. 5. 14, 13. 12-16. 15
  38. Ergo extra seriem si locus sit par verbi gratia 18
  39. sumatur Novem Positiones combinatoriae
  40. Union. Ternion. Poinion. Septenion. Novenion. Septenion Loinion. Ternion. Union
  41. ultra Novenionem seu Dinudium 18 non ascendo, portea recurro
  42. Si sit Locus per vatuor divisibilis ut Locq Z0
  43. Sumo decem Positiones
  44. Union. Ternion Qvinion Septenion. Novenion. Novenion. Sepben. Luinion. Ternion. Inia
  45. modo sub signo + modo sub signo = occurrat dese mutuo tollat
  46. 6- 8. d 4B-62 -n ab - 23- 5562 76. 20 In talibus autem ad Dimidiu seu Denione accedere
  47. non licet quia solae Imparium Combinationes totum efficinat
  48. si locus ipse sit Impar ut 17
  49. Sumunturtamen g positiones quasi Unitate major esset
  50. Primum Dimidium Positiones Imparee alterum Positiones pari
  51. e
  52. Union. Ternion. Lvinion. Septenion. Petonicen Senion. Quatern. Binco. Nusta
  53. Servas
  54. Et hic Positionu Numerus est quoque Impar. Ergo pares Positiones
  55. unum locum amplius occupalnte
  56. quod si Positionum Numerue sit Par fiat Distributio qalite
  57. ut Loca 19 funit 10 Positiones
  58. Unio. Tern. Luinio septen. Noven. Octon. Senio Luateon. Dinco Nulli
  59. Ideoque huc summa impar positio Maxima pari major est.
  60. in prion erat ea deu minor
  61. 5612 14 20 22 11t 3063
  62. 6 20 41 72 110 1 210
  63. + 15. 14. 13. 12. + 15. 14

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 73r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0145?run=74