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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 193r

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: 0.75.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 194v); this page is its right half.

The machine reads it as

  1. vel FC,
  2. vel AF
  3. AB. X, BC, y = Saa FXX = Vaa =XX. sprimi.) Et siet (2do) yy - 3aa - 2 s - x
  4. yydx + SXydy = _X y (tio).
  5. (Alo sjaeut ( 12 syydx = Paax -5 Sa2- x dx
  6. (5to)dy = Xdx: saa + XX + a Xdx: Sua =XX
  7. (6to) Xydy = (xx dx) = Xx dx Saat: Saa = xxdx Laa - Xr: Laa t ur (= XXdx)
  8. bendersum
  9. = (7mo) xndx s X Xxdx Sa- x, 1: faa - x1) - 1: (aa + XY) = (Bvo) axtx 1a. P, 2XE a
  10. Ergo per _ ex aeq. 3. per 4 et 7. finsa pax -s (a - dx) + dx sa X: a. X) = : x
  11. seu siet x ax t+s à X, x,
  12. aa x As a + 3X7, lx, 1a :, a - = L xyy = (aa x = X sa
  13. da faux d, x sa = sae - dx x x a X
  14. d, Sat = -dx, x salot -sx, L Sa p + 2Ax. _sa-
  15. = Sa - X - 2X: (a x v0 = a - 8 - 4 + + 4 X ( ). s r- a 6a r + 45,:, a x
  16. = a (2aa XX + X + 2 aC X X B= 2X = X), : X, aa -
  17. d, X Sa = X = de, Sa - X - XX : a X = vdx fiil vv = a - X - 2X x + X (: a4 - XX) =
  18. = - 2aaxX + = 2a a XX +2F + X,:, aa - xx = a - + aaXY + 4 X, :, aa - Xp
  19. ubi rarsus extrahibilitas.
  20. = ∞ fit v0 = aa - xx + 2b + bb
  21. XX
  22. seu
  23. aa - XX
  24. seu vv = a - 2aa X XF t + Abxaa 2aa bX - 2bX + bbXX, :, XX aa - x
  25. Vaunx
  26. du s, X + b + C - , 3X + b, ZXabur xd, t - d, x iburc
  27. h
  28. sed hic semper numerator extrari potest.
  29. b
  30. +
  31. +
  32. R. etm XIn Xtp
  33. K xX + xm X + K mp
  34. in
  35. du, X3 +bx +C: (XAbXC
  36. n
  37. mi
  38. e nn
  39. un
  40. EX +bXX
  41. +hXX -hmX h+K+C
  42. hn
  43. atmn
  44. tn
  45. seu k = - h -
  46. +RXY -kKmX. mip
  47. =KnX Arim
  48. +lXX + lmX +lmn
  49. K = 1 - k.
  50. h+ K + l = 0 hn+h +Km +Kp + Im + In
  51. l= =h- K et fint (trr) + hp(F K in f. K p = tim ( K m = hr) = K n
  52. et fiit K = h, m - p, : p - n et l = hFhM - t m (t hpd; p- 1
  53. Kx +hn k-- h. fit seu L = h, n -m, : p-n seu et
  54. L XX + Em X + l ma
  55. am xtm X+u
  56. +
  57. Xtm Xtn X - m - n
  58. K
  59. h XX + hu X + tup.
  60. + R
  61. X
  62. + km
  63. exame omn
  64. a
  65. et h=
  66. X FB SpC +b, XC + n YXrb, X+d =n LXIC,XId
  67. X X + q sit A = ay r bb 9 srC fi R = 0. D fit 8 + 1OV + 43 . 3.
  68. sit G=
  69. =0
  70. Im +n+mhomlnhtul
  71. Ctom =hn =0
  72. Zem +2ln =0
  73. m = - n
  74. hntton
  75. an- hp
  76. xa m-n
  77. nm
  78. Armn- hnn
  79. fit l -.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 193r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0385?run=74