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Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 24r

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: 0.65.

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

The machine reads it as

  1. 6 julii 167∞
  2. V1 - X2
  3. s
  4. +
  5. 1y. 2 N y 2tX = X y. aequalio circuli
  6. 4
  7. X⊓ S +2yX + et.
  8. I3 X 1 y + X - y - 2y+
  9. XNA
  10. e y
  11. +k (I +2X74 1
  12. =X2
  13. Extractio radicis per serjem infinitam pro
  14. orinata circuli. aartem comparatio serimi cum serie differentiali
  15. Erit X p∞ Erit XY ∞+ X.
  16. 4
  17. + 1
  18. +
  19. +12
  20. 1 - ∞ p 1 = x -.
  21. 5 + X -
  22. AX
  23. Ergo X F)
  24. y
  25. atbytcus
  26. Xs- X2
  27. (+X -2 X
  28. te
  29. CQ VH r - X. Ergo Y dy p = fdxX
  30. ty p - dx x
  31. quaeritur.
  32. 3
  33. cucus dramete
  34. 6
  35. an
  36. XHγ +3yX +3yX+X
  37. a
  38. a
  39. t +
  40. X (, a+ y 1 + Y 4 V ut y + + X X
  41. dx
  42. e B C B,v 1,2, 2
  43. 0 + di + y
  44. a
  45. e
  46. u
  47. +
  48. ed
  49. a i + re
  50. d
  51. a
  52. + de X .
  53. in a
  54. Lore a
  55. Series talis, quae si per arithmaticos multiplicetur fiat senes
  56. diminaturque unitate sit et quilibet grodus exponentis uutate
  57. dinimiatur frat eadem cum simpliciter diminuata non multiplicali
  58. seu X+ a + by + cy + dy esc
  59. ita ut sit X 0 + pb + 2cy + 3di est p) a + by fb + cy+ dis
  60. e
  61. seu by +2cy +3 dy3 etc p a 4 bus + cy3 + dy. Ergo apbys.
  62. bp cH b. de c. en.. sed res ni fallor taatum ab. initrum
  63. non procedit, quia non potest ap by. alioqui da non dediset o. quod
  64. si ponamus le a 10. nihil habemus quod ipsi bus aequetur, sed rvo
  65. verte
  66. d
  67. 6X) +Ox = d
  68. b2
  69. 1
  70. 5X
  71. ax b+ by+c7
  72. +0X +30 X - 20Y + SX
  73. a
  74. ed
  75. e
  76. 5
  77. x a ni
  78. ~ 2
  79. a
  80. V2
  81. +
  82. de
  83. de
  84. +
  85. X

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 24r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0047?run=74