Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 705 · Overbeck, fol. 91r

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: 0.73.

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

The machine reads it as

  1. 2I
  2. 9
  3. c
  4. E
  5. e
  6. 1 2 3 4 5 6 7 8 9 10 11 le. 13 14 15 16 17 18 19 2 21 22 23 24 X
  7. 0 1 4 9 16 25 36 49 64 81 100 1 14 169 196 225 256289324 901 400 141 44 529 570
  8. 0 a 0 6 000 100 0 0
  9. 1 d0
  10. 0 60
  11. e
  12. 8
  13. 8
  14. 0
  15. 6 6 0 00 5 6 0 6 0 6 5 0 V 6 50000 c0 C0
  16. 0 0 1 1 2 2 3 3 4 4 5. 5 6 6 7 7 88 9 9 16 10 i 11 b
  17. 0 0 2 4 8 12 16 24 32 40 50 60 72 54 98 112 129 14 1l2 180 20 no 242 264 238
  18. 0 1 0 10 1 0. 10 1 0 10 10 1 0 10 10 10
  19. c
  20. 0 10 10 10 10 1 0 1 0 1 0 10 101 0 10 10
  21. 0 D0 6 1 1 1 1 222 2 3 3 3 3 4 4 4 4 5 5 5 56
  22. 0 0 1 2 4 6 9 12 16 20 25 3d 6 42 47 5b 64 72 d1 90 l 1 R) BI s)
  23. 0 1 2 3 0 1 2 30 1 2 30 1 2 30 1 2 36 1 27
  24. 6 1 0 1 0 10 1 0 10 10 10 1 c 10 1 0 1 c 1 C
  25. 0 b ∞ 0 00001 11 1 1 1 1 1 LZLLF7
  26. 1
  27. ∞0 1 23 4 6 8 10 12 15 18 2)2428 3236 40 45 50 50y60 6p 72
  28. 0 1 2 3 5 6 7 8 4 2 3 4 5 6 2 d 1 2 3 4 5 6 7
  29. O
  30. 0 1 a 1 0 1 41 0 1 4 1 e 14 (0 1 41 0 1 4 1 9
  31. 0 000000000c00000 1 11 1 1 1
  32. 6 0 0 0 1 123 4 56 79 10 12 14 V 1820 222527 30 83 36
  33. d12 3 4 5 6 7 59 10 11 12 13 14 15 0 1 2 345 6 7 8
  34. 0 1 4 9 0 441 0 +490 94 1 0 14909 4 10
  35. 6 0 0 0 0 00000000000000000018
  36. d 4 ∞ 0 d 0 11 2233 4 5 6 7 8 9) 10 11 121 15. 16 18
  37. 8
  38. 1 2 3 4 5 67 8 9 10 1 1 13 14 15 1b 17 18 19 20 22 23 24
  39. 0 14 3 16 25. 4 VB 4 25 1b9 4 1 0 1 4 9 1b 25 4 17 0
  40. dE
  41. X = 28+5 XX = 29+ Y = 288 + 2 8p + 55. Ergo 55. r = q- 288 -285
  42. +
  43. si primam periodum investigemus tot notarum quot sunt in 2, fiet 8 - x et B = d et
  44. fiet q = XX - Y,: 2 seu XX = 2q+Y, quod jam habuimus. Rursus XX + 2X +1 = 2 (q) HV)
  45. siet 29+ Y + 2X +1 = 2 (9) + (Y). Est autem (9) majo quam 9, et fiet
  46. (9 - 9 = r - (r) + 2X + 1,: 2 Ergo Y -(Y) + 2X +1 est numerus par. jam
  47. jam 2x+ 1 est impar Ergo r - (Y) est numerus vet (Y) - Y, seu differentia residuot
  48. a propimis quadralis semper est impar
  49. 0134591625 170 17 4 25 1694 10
  50. = 21 13 - 17
  51. resid (Y + 2X + 1) = (Y) seu Y. + 2X + 1 = R + p. K 2 + (Y)
  52. 4 2 9 + re
  53. 2x +) = 2 (9) + (Y)
  54. Duo
  55. e e en quadratis nota
  56. p
  57. (5f, 9
  58. 25
  59. k = (9) - 9
  60. qeal priore consent sunt aequalia posteriorius.
  61. seu XX usque ad X = ZC-
  62. =1. et XX 2= -1 + X habent eadem re sidua
  63. XX = 24+Y a X +X ( q X): = 2 F +Y =B seu 2. + Z C .XXM- 3
  64. 122
  65. 2 +2 (+ XX - 23 (+XX - 2eg
  66. xer fict 29
  67. u
  68. ope harum duarum aequationum
  69. Eti fu
  70. C+ + X = 3- 9
  71. 9 8- 252.2 9= 2. 2 + 17 (5 + 9) = 3. 19 4 17 f 8+9 = 19- 2 verum
  72. en + -X _) = LB 2 X +Y = 2e. 2- qet x + XX Et XX = E q+ Y
  73. 22 +X = Z-9
  74. fiet E X (+Y - 2e- ex + F g(D fiet X = =- x + 9 se q = 2 +X
  75. 6 = 12
  76. probundum est residua opposita inter se aequari _ sit X = 28 + 5 et XX = 2 88+ 8 (+
  77. Hinc E a X Q -X - 2X
  78. -
  79. 2 X + XX
  80. XX = 29 +r (2C -1 - X) = = 2
  81. XX = YY in itaque residnum ipsius (B1-x
  82. eest in XX. sed in prima citodo reverae X Y eru et Y, vel XX itaque idem resionum est quadrasu
  83. 2
  84. 20-2
  85. ruecn
  86. -X _, qu = 2
  87. ab X, et quadrati a (2=1 - X)
  88. t X 4 189 +
  89. 2IX +XX = XX = ~9+Y

Cite

LBr. 705 · Overbeck, fol. 91r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-861255:0181?run=74