Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 127r

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

The machine reads it as

  1. absd+ bmD+ an =0 ponomus e et n dari per X
  2. ed fiet + ab du + dm +mod tatidn = 0
  3. sit data aequatio aady F yydx + Xxdx 20 fiat y v+p
  4. et quae comparetur cum aequ. 3, et fiet x= - 2, et
  5. m = xtC, et p= LX +
  6. +
  7. et yy= 9quvica +29p a +pp et ex aequ. 3. fiet
  8. agde avdque au dp + Cqquvragdr, quae dividantur
  9. X2qpVdxia +ppax
  10. + XXdX
  11. omnia per qua
  12. + quedxiaa t b = -a
  13. 10-- aad V L avdq: 9 - aadpu
  14. +2pvdxia AppdzE:q
  15. +xrax
  16. fit b=-a m = sadx
  17. in oquatione data si
  18. fiet dy = g: c. dv + v: a. dq + dp
  19. yy = 4qN: _a + 29pvia + pP
  20. aadyus =C - agdv + aggdq. - aadp
  21. egydx +ppf: a. do + E9p v: a. dg + ppdg
  22. +XXAX =
  23. rffa
  24. D
  25. 99f. a. dv 725: a.9ud9 +ggdq
  26. comparando pum ag. 2
  27. et dx = f: a. dv + via. df + dg sit df20
  28. 00
  29. + 99f. v0: a. de + gquv. aa. dg + 2fqp: ac. v dv
  30. ce
  31. ffrv: aa. dus +25f: 4a. 9vdv
  32. et cod cd
  33. + F,
  34. rvdoiaa +
  35. et codco2
  36. rr: aa. vdo + r:aa. Wvdr F rt: a. du + r: a. vat + t: a. vdri tat
  37. et coco = rr: aa + 2r Ev: a + t
  38. +2rt: a. vam + ttdm
  39. + meodoo =Mrt: a dv + mr: a. vdt + mtdt (1t L- 1)
  40. acodu
  41. x+9
  42. Se
  43. XX = ffNOV: + 2f90: a +g4
  44. ua
  45. et le et deo) Yd b: t varia + a+
  46. fiet et fiet
  47. +colodm=
  48. noan
  49. qu: a) + P et X=
  50. +f: a. vodo
  51. Explicetur jam aequatio 2 in q
  52. tab dco F dbdo + b var
  53. et
  54. 47
  55. et ex r duta siet audo + vodx + 2podx + pp dx + Xxdx = 0
  56. fiat yL quia +p et dy (9: a) do +v. adus + ap
  57. C
  58. l
  59. dn
  60. +mt:a. vdr
  61. van Aa
  62. rreaa. vudm
  63. comparando
  64. et am: M
  65. M
  66. e
  67. 2
  68. e
  69. sin logm l0grC
  70. eunde fiet
  71. C
  72. ex
  73. Br
  74. oF Fg9f = abY,: r BrY jam uterus tenumque secundum par et
  75. V me
  76. ax fit t- aa
  77. mr: da. rvar
  78. ae
  79. F. Ie = M seu p logY +e = loc
  80. 94 +ss = 0. seu et d9-0
  81. sit ad seu
  82. 6
  83. l
  84. 1+ Ya1)
  85. mutiplicentur ille per mtin at, hicper
  86. t sublata an, restabuna aequatio pro literis P, g+
  87. ublata d
  88. sed Pdutur per 9. ergo duei restant aterest
  89. mirrna va

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 127r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0253?run=74