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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 60r

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. 5May 1697
  2. similiter
  3. tio vice
  4. es
  5. oc dignum in qntitione
  6. uotiescanus aequalio dalu
  7. ut
  8. V
  9. differentialis, in qua una litera
  10. absolute posita non assurgit ad potentias, licet
  11. s
  12. su
  13. Xiget dy: ax assur
  14. caut itcunque semper licebit aequationem Tiam differentralem
  15. uxempli culusa
  16. rausformare in rationalem
  17. ib
  18. e
  19. Xia
  20. e
  21. esL
  22. t
  23. +
  24. ax labentur
  25. si dascondati cotanga
  26. et gumatur
  27. rationatite
  28. elitur
  29. dy dydy: dx dxdx =
  30. sit
  31. cava
  32. hhoc prosit pro qbadraturit
  33. Dax. v vuar v ov
  34. vo seu dx:do = - 313~: 13 cum alias sic liceat procedere
  35. Vytaia sit summund ax= dy: Vyta: a sit
  36. dx=
  37. Z
  38. ody:a sed habebitur Zdu s. habetur d
  39. ve
  40. et labebimus
  41. cerdendum quater d ves enien prodes pro
  42. ux ax. adenastendetunt
  43. agede aydu
  44. derd
  45. ata,: a fiet y:a = (dx: v fietue doodef
  46. ax. v = = a 3uodo:
  47. na
  48. Zaado: v = (5to )2(Xdv: aa) + dx: V
  49. a: V3 - Sdx: v +1 - seu (dx: V = a - V: V seu dxo
  50. XX + ya,
  51. desida dydy: dxax:
  52. e sit y.a = ax: v fietqus du: dx (3) = a: V
  53. aa. VV (4t0) = (XX: aa)
  54. seu ao
  55. lyiax
  56. 23
  57. na et sydque = a
  58. +d
  59. yta: a = a:Z, et firt
  60. jam yta: a2 a:
  61. 1t -qdu
  62. 7
  63. et fiet y = a4a:
  64. Hoc igitur semper fit ermulatio. sit duiax = a + aagus: a sit y: a = fax: v seu dy: dx = a: v
  65. +pax: B dx: vres
  66. et fiet a: v =1
  67. 4
  68. Gax. Y
  69. se et discentrando adv: vv=
  70. tk
  71. ietad dudv: dxdx = a: v = 1. Aliter dy: dx = hy+ vy: aa 26 seu a: V- bsdx. vF P (
  72. et fit a- a dv: vv) = b dx (.V) + 2 f.. axli V) et fit s..= adv = bAX V: a) ax, : vdx = s... et
  73. aa du dv + bbvv: aa) dx dx = 2bvdoax,:qvvax ax = (5. et set denique
  74. C
  75. a = b aadv. bvax 4 at dodo + bb vrdrdx. 2a ab qu dx 2 sed posten ut habeatur
  76. l
  77. sine
  78. vax
  79. aa 6x x ax
  80. Caxivoni
  81. verse nova pommatione

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 60r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0119?run=74