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Leibniz-Handschriften zur Mathematik LH 35, 3 B 1, fol. 1r

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. 2v); this page is its right half.

The machine reads it as

  1. De
  2. 2. y adic
  3. Ct AaV, 1l
  4. Definitio:
  5. (5. 1) Numerus dyadice expressus
  6. si V
  7. est, dcba
  8. si idem significet quod
  9. iigfcet, quod
  10. simul sumti
  11. a
  12. O
  13. C00
  14. ut
  15. d600
  16. et b0 idem sit quod bis b, et c00
  17. idem quod (quater C, et d00o idem quod bis quaterna d seu
  18. bisbina c seu
  19. octies d, et ita porro
  20. (15. 2.) itaque 10 est 2 et 100 est 4,
  21. et 1000 est 8, et 10000 est 16, et ita
  22. porro. Patet ex praecedenti si pro
  23. a, b, C, 0, ponantur 1, 1, 1, 1. et
  24. Unde etalis prodit TabulaC
  25. et generaliter Numeis pro
  26. progressionis Geometricae
  27. a binario incipientibile
  28. exprimitur dyadice per unitatem tot
  29. nullitatibus praefixam, quot sunt unitates
  30. in progressionis Geometricae exponente
  31. seu 2 = 10. Tabulaque ita stabit
  32. e
  33. 10
  34. 1000
  35. 10000
  36. 100000
  37. 1000000
  38. 10000000
  39. 100000000
  40. 2 02
  41. +
  42. 16
  43. 32
  44. 64.
  45. 128
  46. 256
  47. 100000000
  48. 10000000000 1024
  49. 2
  50. 2.
  51. 20
  52. 21
  53. 5B3 et + = 50 seu
  54. per praecedentem
  55. 5. 4) 3 = 11 Nam 3 =
  56. fiet perdt 10
  57. unde
  58. 10
  59. 5 = 101 Nam S= 1D 4 + 1 = 100 + 1 per 5. 2
  60. r00 idem quod, vs per 5.
  61. 16+ 1 (per 8.3,

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 1, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068251:0001?run=74