Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 705 · Overbeck, fol. 97r

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: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 2
  2. L
  3. 4
  4. 2
  5. 2
  6. 2
  7. 4 8 16 32 64 128 256512 1024 2048 4096
  8. 4
  9. 1
  10. 2
  11. 4
  12. i
  13. sinit duo risdin 2 et 2 quorum Bosulii R2 et R Y. Dico R (R~. A. 2) esse hasid B e
  14. d
  15. v. g B 2 in R3 = 16 B 16 = 2 R2 =2
  16. quaeritur an 37 23 residuns sit 1
  17. (4 13 1l. 17 18
  18. 19
  19. DO12345 b 7 8 9 10 1 12 B
  20. 1 2 a 8 16 3264 128 256 512 1024t 20t8 4096 6)92f38 ( 32 718 ( 5, 3b (osam 1268 (2328576) 4637152)
  21. 37 divid E- 6+ 2 2
  22. 2
  23. 26
  24. 10
  25. investigare an numera datus 113 sit primitivus
  26. 113 12 56 28 14 7 6 3
  27. 4 C Y 112 15. 4 8
  28. 113 112 5b
  29. 191 190 85 44 42 21 40 10 5.
  30. 69 37
  31. 6
  32. Cuaj. 27
  33. 189)
  34. 26 3∞d
  35. 26+
  36. 156
  37. 405b
  38. 56f4 17
  39. 1(4, 5
  40. 16
  41. B
  42. 1576
  43. 7152
  44. Elsq A2db ) 1048571. 38d
  45. 1024
  46. 4096
  47. 2048
  48. 10240
  49. 9857b
  50. 20
  51. 112
  52. 1
  53. 44
  54. 191 12F
  55. ai f14
  56. E
  57. 11.
  58. 4
  59. aSA+ (11
  60. ra
  61. 77 producitur ex 7 et 11. periodus ipsius y est 6, ipsius 1 est 10. runeus minimis drosibalis per 6 et 10 est 30
  62. Kinima
  63. itaque mmima periodus ipsius yy est 30.
  64. Ponamus numeri 77 incentam periodum 30 ne divieros. nt 2. 5. 3. i ia Him Hujus blui divisores pares sunt 6 et 10
  65. atas non potes dindi per
  66. Ex his via se prodit resolvendi numerum. Sit datum; invento ejus igclo, resolvatur nunerus Cycli in suos
  67. Ergo si 77 non potest esse. Ex his patet
  68. compostores, qui primitivos, hi dupli unitete aucti dividenthrunt divisores primi dati
  69. itaque resolutio umeri
  70. dati reducta estad resolutionem nameri minoris. et hic narsus resolvetur in minorem.
  71. Cycelus dato numero haberi posset, si haberetur quando residuas ex Geometricis binaris sit
  72. Sed superest modus inveniendi cyclum, is haberetur si dato num
  73. m = 77 f sit M = ntY
  74. fiet nir- n = 27f Ergo 2, 2 - 1 = 775 sit f = 29 firt 2 - 1 = 77g _ pertodus est Y
  75. ipse binarius 7 = Qv2 2 7Z+ 2m - 4, s 2 fit 2
  76. Y est pereodus
  77. 34
  78. 7f
  79. 24 - (779+775 +16 = 775+ 2 34 2- 2 = 175
  80. = 7gf 2b = 77h + p 2 = Y, k + 1 26- p = rh 2 - 1-72 2 1 K
  81. 4
  82. Numerum invenore, qui ix se intum ducus et per dat cujus quadrato Residum sit 1.
  83. rY = fN+1 Ex rr- 1 = fN
  84. 14 + 1, 14 -1 si Y = 1 erit f =0
  85. 14 = 15. 13 +1 14 - 1 = 15. 13
  86. videndum ergo an quadratus aliquis
  87. unitate m minutus divisibilis sit per numdm datum. vel quaeratur periodusque
  88. lesa quadrila per numerum datum divisorum, et apparebit an in eam cadat 1. alibi quam in
  89. s
  90. 7b- p
  91. k
  92. 136 1b9
  93. Rotis

Cite

LBr. 705 · Overbeck, fol. 97r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0193?run=74