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Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 10v

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: 0.72.

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. 9r); this page is its left half.

The machine reads it as

  1. 10 32 64 128 256 512
  2. 3i68 615
  3. 8
  4. 2047
  5. 1024
  6. 2 = n9 + Y = n (9Y1) - 8
  7. ng+r = 2
  8. 1G) + (1) = 2 et
  9. n n) ((9) + (r) =
  10. et2
  11. re-n
  12. e
  13. 16384
  14. 4096 6192
  15. ZPH1= n (9) +Y)
  16. 2e2 = n() + (C1)
  17. 2 = HG +Y
  18. 2
  19. e
  20. t
  21. R2 +M
  22. en
  23. per ugitate diff
  24. rertes divis
  25. _ _2 = gn + Y = pn - p. fit Y + 5 = (p - 9) H
  26. (3A
  27. 2n1t
  28. t (Z
  29. pif 341
  30. =M+Y
  31. M + Y
  32. 2E = gn + Y
  33. Ergo YF5= K, ,
  34. p.7-1 (1H6
  35. s 1+6
  36. = gn tY = = Kn + Ergo Z
  37. 2
  38. M
  39. = qu. + Y 2 = qu + r3. Ergo Re E = R r. 2m
  40. hetm = Kn + 5 = qn 2 + YX. Ergo C = e Y2
  41. e qu 1V (911)p + C 2e = gn +r = p(2 + 1) +B, fi. p+ C
  42. Y.
  43. Dn
  44. vel e-Y = (9- p) n = p vel, r - e = p + (9- p) n. Ergo disserentia, duorum residurorum
  45. a
  46. est residuns quotientis a divisore proximemajore
  47. t
  48. Htoc verum est in quantitate quacunque cujus duo divisores differunta sola unitate
  49. = p(n+ d) +8 sit re = (p- qn tap. Ergo generalite
  50. et qn+r
  51. si diferentia residuor est Resictus artis numeri ejusdem per binos divisi est
  52. Residuns proditurus si quoticns a majore per divisorum differentiam mulplicatus
  53. quotiens 9 residuom
  54. 1024 dividatur per 3 residuus est 1 C dividatur per u, residuas est 1. dfferentia eorum est d
  55. Ergo si 33 multiplicatus per 8, ut prodeat et productus 24 dividatur per 3 asiduns est as
  56. Ergo generatim differentia duorum residuorum numem biusum per binos sivis est resos proditurus
  57. 1
  58. si quotiens a minore divisore per dafdibijorum differentiam multiplicatus dividatur per majorem divisore
  59. EY. gr. 10c4. dividutur per H, residuns est quotiens et 93; dividatur per 3 residaus e st) quotens est 341 differentia resi
  60. Ergo si 24) musiplicatus
  61. Resinam iput esto
  62. pe
  63. bdi
  64. per 11, residuns erit C. Hinc si differentia uio quotqu alter, ni
  65. ea
  66. seu
  67. quadteus a grinore sc qu
  68. civisinisper majne idisiem vel quot eus mtnsi pliminm
  69. upg
  70. aben
  71. drjore
  72. dos.
  73. 4
  74. 341
  75. r. c (n ) - = (9- p) 1
  76. cu
  77. divisatur per minoren ivisorem quotiens 341
  78. 2728
  79. Hursus 9n +Y = P(n - d) + C fit rCBF

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 11, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068261:0020?run=74