Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 103r

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: 0.89.

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. 102v); this page is its right half.

The machine reads it as

  1. sic Triscerptiones absolutae numeri-
  2. S+ItI 4+2+1 34341 2+4+1 1+5+1
  3. 4+1+2 342+2 2+3+2 144 +2
  4. 341+3 2+2+3
  5. 1+3+ 3
  6. 2+1+4. 1+2+4
  7. 1+5
  8. 15 = 5 vitit subtrahitur qua hae
  9. nullus numerus semel
  10. In Numero 7 trigeminatur nullus, (quia 7 non est divisibilis per 3)
  11. geminantur 1 et 2 et 3 nempe 3.
  12. Regula hoc est: A Numero quaeratur Triangularis, cujus radix
  13. est numdius datus binario minutus, ( sic 7 = 2 est 5, tiuius trangulanis
  14. est 15) Ab hoc auferatur numen geminationum Trigeminatioum.
  15. in teger
  16. il est seu a- 2. a -1. hinc detrahatur B. si quidem est erationalis
  17. Hinc detratatur 1. si quidem est a divisibilis per 3, sin minus nihil.
  18. Residuum dividatur per 3 sic a - 2. a -1 - a vel o hoc loco 5
  19. 1.2. 3
  20. apel 5+1+I 3+2t2. e33. 1244 Ab his auferantur
  21. inde auter fiet
  22. 4+244
  23. lo his auferantur geminiti nempe i in quibus geminatur
  24. unus numerus qui sunt dipse numerus maximus integer in dimidio
  25. quorum namerus
  26. ipsius numeri colentus seu a a - oveli, ere residuns eut
  27. summa igitur
  28. numeus ectum qui non geminantur
  29. formam hiscerptionum correcta a repelitionib, c
  30. pomus numerus lingeminanbum, hoc loco Ovel 1. prout S.spe non stvel est
  31. i
  32. numer geminantium nempe
  33. Denius nmem irrepetiuil repetentium,
  34. qui est....
  35. en qui est
  36. a= ovel prout a est vel non est dioisib per
  37. ads Mont a non est oel est
  38. a-E. a - 1 - ovel 12 - a - o vel 1: 2
  39. 1. 2.3
  40. q - 2. a - 1 = 0vel 1. E - 3 a = 3 ovel1
  41. 1.2. 3, 1.2
  42. seu qui est aa - 6a + 1 - o vel 1:2 + 3 ovel1
  43. divisib. per 3
  44. horum trumgei geminorum, geminorum et smplicium summa est
  45. 1. 2. 3 , 1. 2
  46. aa - 12a + I + 3 ovel, - 11 0 vel1
  47. 2.
  48. a - 2. a - 1 - 0 vel1. 2 a - 0vil1 a- vil 1 4 0 vrl
  49. yt. 2.3.2
  50. aa -3a +2 - 20 vel 1. AD, 3a -. D0vr1 + 12 ovel1 : 1. 2. 34
  51. aa +2 + 10,0vel1 = 3 ovet 1
  52. aa + 3a + 10 Ovels60vela
  53. ubi si a divisibuger 3 tit 0 ila = 1
  54. 2
  55. qui est numerus
  56. iisterptionum
  57. numeri a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 103r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0205?run=74