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

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: 0.77.

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. 3v); this page is its right half.

The machine reads it as

  1. et
  2. (Xd Cdy: dx)) = X(dy: de) y + a
  3. X = +aa 1a, b-4a
  4. sit Rec b + VRx 6-g = H(XX + as)
  5. ddu = ex lx exdx
  6. dyld ex dx = aa K: 2V ex (Ab r cX + 2b d CX) Ax =
  7. aa
  8. bieex
  9. possumus X et y assumiere pro arbitrio
  10. sde ee fiat = y
  11. +X
  12. prodibit (X dx = Kx Xs.
  13. X = (dx (dx
  14. bix
  15. bIX
  16. probatio Candni adyid dy dux. dxdx
  17. +X
  18. e
  19. Eexddus dytdax: du
  20. a
  21. cdx exsile
  22. a dbix bix
  23. et sit dx constans
  24. L X dx (xidedex)
  25. X, dx dd dys ddX,: dxdX = X
  26. (X d(dyodX) = X dy: dx - y
  27. ed
  28. it y= (r (XZ ) y = sser (X2 + ab)
  29. =
  30. X rab)
  31. et
  32. Ik+ ab)
  33. ex VI3 + abX) l fiet = X Y(x t abX)
  34. lin altimum en
  35. ergo quanitur
  36. X
  37. d (dy: dx)
  38. rev
  39. g
  40. xx + ab dx
  41. 2 Y( + abX)
  42. 3(( xx A tabae) + (ab RS (X tabX)
  43. Xx tab
  44. ux
  45. 2) Xx+ ab
  46. KEX3 +abX ) + ( l X + abX
  47. seu frit 2( dx Y(t ab) = X Y (X + abe) = (dx X (x taba)
  48. XX
  49. d XX +ab
  50. v
  51. xxta
  52. dendum an ho ex hoc carione veniri
  53. ex ad possit ad exaltationem contenbi
  54. t
  55. axtas
  56. a odx =y) X ddy: dx = Xdy idx: dxdr + dy - dus
  57. Isdu x ex
  58. Ergo
  59. sit
  60. e
  61. adx = X dx 14 dx
  62. btx bIX
  63. (X d (dy: dx)) = X (dy: dx) - y
  64. Quaesivi aliquando
  65. (ag. x)
  66. (
  67. Vaxtas)
  68. du = Ex dx: XXtas)
  69. d, dy: dx) = dx ddy - dydx,: dxdx
  70. d(dy: dx) erit =
  71. anon
  72. mb irrationali sane etsi laci assumas
  73. no multiplicando sea pro ∞ assumas nic
  74. aq
  75. b sex
  76. prodest, quia transfertur ex numeratore in numeratore
  77. mutfplicando et diferentia semper ejuldem est
  78. rratonalis et exaltubionis in grationeti ergus speruna

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0003?run=74