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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 3r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half.

The machine reads it as

  1. +
  2. sit
  3. (X d(dy: dx)) = xdyi dx - y
  4. sit Y = (dx siab + CX + Xx
  5. u
  6. dulis
  7. Xdx, ab + ZE
  8. =
  9. V(aabx + a X3)
  10. l
  11. xf, it (ab +CX +XX) - (ax rabrexrx
  12. Y(nabxtax)
  13. Caabxdx
  14. oabxtax)
  15. I dy: dx = ta
  16. +ab) ad) =
  17. dx
  18. Cdbtx
  19. X Y(aabxtax - (AX H (aabX
  20. rebul
  21. ax
  22. +b X
  23. Axib bix
  24. (X+ b, d (dy: dx)) = x+ b, dy: dx
  25. ddyue = (Xdx dx, +
  26. xobiqu
  27. fiat dy = Xdx
  28. dxdx d
  29. X+b biX
  30. xdx + dxdx (dx = Xdxdx +
  31. Xrbs
  32. sit
  33. qua (xrb
  34. ide dx + dx (dx = X dx (dx = X dX sdx-
  35. et siit ddu=
  36. ex
  37. de
  38. X+b ∞
  39. 2
  40. XX bIX X btX
  41. X+b. 4X
  42. Xax (AY
  43. X1b.
  44. X
  45. t
  46. ab u) dx
  47. dx sint xprogusi. Geom. in numerius, trunt differentiae. Eimul sd progrest Authu.
  48. X+b
  49. Rrb
  50. Axdx sax ex dx
  51. (dx quae aequatio est identica
  52. (ax ed bEx
  53. xxE (d)
  54. rdu=
  55. a
  56. a Dazue sdZ v(I, t ab) = (dyt (a2 Etab
  57. (1Z ((az. B7 rab)
  58. lX
  59. dx (dx + (ax = a Vix
  60. X HX b+X
  61. (Xdx (de
  62. dx
  63. dx Y (aabX+ aex)
  64. du = dus (ax, XL + ab)
  65. qtzue: 21a7
  66. x delodx) =i) C dZ d day= dda s
  67. 1 = Sxd bK
  68. xddus -
  69. X Y(aa bX + ax
  70. aabx
  71. 2ab. +3X. = dx
  72. sit
  73. aK
  74. ).
  75. 2 selx Vsaabx tax
  76. ex a Laabx + ax)
  77. a
  78. - sa bx + X fdx b sdue abX + ax
  79. 3dx
  80. X+b
  81. X+ bd X
  82. X etfiet et differentia postans sit e, fiet dx e + Sdx
  83. a+
  84. A
  85. reno
  86. dx + dx
  87. X Xb
  88. sta sois
  89. X ex + bdx = X X dx - b ux
  90. Ne abre 1. 1X 2do
  91. v
  92. ((xdx Cax

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0005?run=74