Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 38r

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: 0.74.

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

The machine reads it as

  1. Pro
  2. xadditionibus binariis duplisi via
  3. incedi potest Nam e
  4. at ab +a
  5. E Nam posito a et b esse quanti numeros.
  6. +a
  7. b
  8. -2ab
  9. quia a semper est 1, nisi oia ol
  10. l
  11. 17ab
  12. ubi a et b se habent eodem modo
  13. seu D non esse oynisi arb sit 0
  14. aFb+ C = Rab ∞a
  15. et pua prib
  16. i omt
  17. 2
  18. iba (+ Oosito, a posse esse majorem
  19. pro bascribi poset a
  20. ounia o
  21. 5
  22. qui valeant, vel o vel 1 erit
  23. a +b = Cab
  24. Iem a+b
  25. b
  26. + c
  27. debet addi C ad 1bD, pt tipt
  28. a c+ ab et hoc sit lex
  29. ut si turae sit una sit 0, ea sit a
  30. si duae eae sint a et b
  31. et fiet c + b - a = cl Cbc
  32. + C106 Zu
  33. ca ataenac
  34. +
  35. jamc-a + , ubi cum cb ut non possit esse nunor
  36. e
  37. quam alum caetba scribemus frest e
  38. di Ergo denique
  39. Abi+
  40. eba Lba
  41. e
  42. + cub (+ Cnt ud po
  43. +Caban
  44. ba l. ta.
  45. pro cb + ea scribi potest bta
  46. adc
  47. b btub
  48. a- al-a
  49. eema1aaja
  50. ter ta Ergo adc
  51. bais
  52. addi debet e, et fiet
  53. db
  54. da
  55. debent in unum addi eb +ca ba
  56. itaque a+b = 4)-a
  57. +aa eid faL aIa
  58. cb = ca +ba =F, F cba
  59. e
  60. cb
  61. st
  62. d- c+b- a
  63. e
  64. Nam
  65. (=2L1
  66. (1= 4 -2 - 1
  67. e et +dc- db + da
  68. 1b a+ brc = b YCY
  69. +
  70. 1= 8- 4 - 2 -1
  71. =b 1= 16 ∞-4-2.
  72. +C
  73. addatur jam d, ad a+b _, fiet debent in unum addi 1a- b + C et d
  74. est
  75. 1.
  76. sed a - b +c addi debet ad b fit a ( b) + c (+b) sed a + b = a ( = a + c
  77. ergo a + b+ c+d = a =a+c = a + b = c + d
  78. addatur e, ad -a + b = C+d, fiet
  79. addatur in unum =ad b. a ibC d+d a +C cta et - a + b - c+d
  80. fiat a tbc ad -a +c (+ a) c( a) +b - c +d
  81. seu = a + b +d seu = a +b
  82. = b +d
  83. Addatur inumi in otia columna -a +b et a fiet b.
  84. Ergo atbtetote = b- b)- b
  85. 1d
  86. l
  87. +a
  88. 8
  89. b
  90. te
  91. ri

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 38r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0075?run=74