Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 15r

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. X y. a = Sdz.
  2. J.a = V:
  3. l
  4. d(v. Z)= dz
  5. :2
  6. X: a = (dZ: Z
  7. L: a = dv: d2
  8. (av: d2z)- (V
  9. ed
  10. a (dv: dZ) = ddze: de 3 (ddv: ddz) (dv: dz
  11. via = V: Z
  12. fint dy: dX =
  13. Xia = W.Z. sint
  14. de -
  15. 1Z
  16. aL
  17. H: a = sddv: dv.
  18. fit dyidx =
  19. : du - W = dv- vd
  20. dZ
  21. y:a = dx: dv
  22. e
  23. d(v: Z
  24. du
  25. etZdu WdZ do:)
  26. fiet duidue = d3d: duar
  27. s si dz constans fit dy= dZ ddv: dudo, et dx= dd
  28. av
  29. ara
  30. Aliter y: a = dv: d2 X: a = sdav: dv fiet dy: dx (ddv do: a vil Z
  31. et pretdy: dx = - dz: du.
  32. posita de constante, sit jam data aequatio Tancentialis quae.
  33. Cunque du: dx = yy+XX, iaa fiet dv: dz = (dvdv: dZdZ) + qu sadv:v
  34. seu fadgis= sed nita dare fieret y: a = dyidx quod absaru
  35. Cetiam absu
  36. x: a = sdd v: dZ, fiet aeux = quod
  37. ituum absurdum. An sic Xia= sadvive 5+) + et
  38. 1
  39. e
  40. aliter ya = dv: d2
  41. y: a = dz. dv et dy: dx = 6 (dd b dZ: dvde ): (dz:
  42. seu y ddv: dede = = dy:dx sed nit hinc
  43. L y. a = 9 ViZ
  44. p
  45. X: a = dZ. d, jec Ergo per sriora
  46. do. dx = y:a = d dv:dco et x:a = dZ: deo
  47. fiet dy: dx = ddvi adz
  48. sit jam aequatio data
  49. dy: dx = ∞ yy+ xx siaa fint ddv Ed vdv +i dZ dZ
  50. fit jam
  51. a au
  52. codc _Z ddZ C et U sddco: Z sit
  53. da
  54. sit aedno. dodoidcocco= da: adv, fie
  55. seu Hruc datur na dav idd ex exia
  56. e
  57. advi dcodio ex duidco, et res reducta
  58. ads - adZ= dZ dZ
  59. .
  60. est ad quadraturas sed hinc binetur oriri absurdum
  61. nam e ata dabitur bis adzue ado et nempe ex dodideri
  62. naz
  63. et ex dz. ded, ergo haec duo, dabuntur invicem sine qua–
  64. c trs sed si quod non licet. quid sic siC
  65. odo: dcdded ddu. dd v) t co rnecdicet facere do ex av etd)
  66. s
  67. da deo ddo = daz dodb + dazdzdz. sitdd
  68. C
  69. ∞adA adque dudv. 2diod dv Ret du = 2d codu
  70. esit ea ddz= dodco fint, addv= dedv +d2dZ. , do
  71. et adq codco Lbdco et ay + ac = Lcoco + b bco frustra
  72. qet fit aB dando
  73. at
  74. sit dd
  75. Aliteri cbcodeo = (dDa D +d3dZ) dd d.
  76. D
  77. aazue. e
  78. seu ado iaaque se sdV: Sanda
  79. G aZ davaz
  80. , daz. Naco 4Z
  81. sed hoc non prto licere
  82. de
  83. laxdio
  84. du du

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 15r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068072:0029?run=73