Search the Nachlass

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

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

The machine reads it as

  1. ~II
  2. sid
  3. td sit geq+b9 20
  4. isi polt 4q aqtbiso
  5. silqa +b2ot
  6. uut
  7. ea
  8. A qu
  9. las
  10. XX
  11. (Hab
  12. 10000000000100100et (=1
  13. a et binaequaeb el atb =1 ++AECCL19-1+b, q+a -b
  14. Ao si positis a+b =1 sit q- ad b. Mairii
  15. Ai
  16. Y 9g- gAbarag.H
  17. ient qu vatbia sut qi- b e
  18. ic ut 001010oieu = q
  19. e
  20. sest
  21. 11 100 c
  22. seribu e retine a, b. c. d adde asi b, cCd. et
  23. 11
  24. scribe retire reliqua, quibus adeenf q- a + b
  25. sit 4
  26. f. bf. cs df. es
  27. sit 1C4 dC+p + ef = W. 9. scribe q
  28. qu-ab+rab
  29. retiae aliqua qubq adde Mg.
  30. scribe h. retine ruiqua, quibus ad Nod
  31. q- ab quatG
  32. qab
  33. Gup +b)
  34. qqab
  35. 1 -a
  36. N+
  37. il.
  38. a = aa
  39. a staco
  40. (a +bs) oi rab
  41. eec
  42. a. Yh
  43. ah. bh et. d. eti
  44. 111 qu ab +1 =0
  45. 1001
  46. = 1 velo
  47. 0c
  48. a-b h V)a
  49. sit dtec
  50. o (fa (+b) +
  51. Si obia vel b,0
  52. si a vel b sid 0 erit atb e+ ab 20
  53. sa a et v et
  54. ab+a
  55. atab vil
  56. +b+ab si a et b sint 0 ent atb ab sit q- 0
  57. 1.
  58. a+b, a - b = a - b
  59. a
  60. a
  61. 1,.9 Janq- 2ab
  62. sit b+ ceLdF+9+e9 xrh +h1 ag bg. c9. du ed
  63. sit, 0 et simul
  64. nnc altemo
  65. quel b sit 1, erit a +b=1
  66. si ab nil aube0
  67. si a et b sit 0 vel a et b sint 1 erit a-b
  68. si ob a et b, 0 sit 410 et ob a et b, 1 sit 4, D, et ob a et b opposita sit
  69. si ex a et b uno
  70. a=1 fiet q = a - b vel q= atb, sed g
  71. 9q. (a- b) 4 + bb =0
  72. au
  73. ga
  74. in 9 -2a = a - b seu q= 2a 1b a- b, i, 1-2a, (qu
  75. 1= b- a, 1302ar. = a- b,:, 2b-f
  76. si a et b aequales qua qut 0 erit q- a- b ∞2a tbb-
  77. urve si q et b inaequalibus sit 4sit 0, erit q = diff. a et b
  78. ergo a = da + lb 2 ab seu = a+b 2ab ergo si reqa
  79. e
  80. redine a e
  81. 4 b(Cd
  82. tae le ceoete et
  83. a- ab a
  84. a
  85. bq b
  86. plqa sin
  87. a-hb,a
  88. 100d sit M= ab. c. d. C est e 1.
  89. sertil
  90. 1b-1) 9(4) a (+ (+ )ab
  91. aq Laq +) ab +a f ab
  92. 20 A∞4000000010
  93. val an
  94. a et b aequalibus 4 ht 0, et nae qualibus sit 1 fiet q= a- b. diffi _ D

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 3, fol. 10r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068253:0019?run=74