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Leibniz-Handschriften zur Mathematik LH 35, 6, 11, fol. 10v

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

The machine reads it as

  1. Nequasio
  2. mocum
  3. C
  4. s
  5. Exagen
  6. du = a dx: Exr-aa Aeqquatio praxestanda est: sy dda atu: stax us -gu Xdsi d
  7. 3
  8. C Ldx + du = TF + dx an: XK a4, = XV x dx: syp aa. y = a (ax. exx-aa
  9. y rax + =a)ax: ser aa xdx: Exr aa Ergo denique cx 69. 2. fiet
  10. a
  11. ex: TXX - aa X dx CxX-aa = (Xdx XX - aa = A sdx. sxx aa = x p: xr aa
  12. dx: Exx-aa vocemus M fiet
  13. MXM: (XM = (m = Ma posito dx-
  14. seu (FM XM = sem sm - (Xm (M.
  15. seu
  16. SM XM = (XM sA + sXM M L XM M = SX M dM
  17. sed a M = X X M. Ergo (XM = M. Ergo fit
  18. MM - X M M= X Ma Male
  19. dy = M- dM = XM Y = fM - (X M
  20. m
  21. dy = 1: YXY - Aa
  22. Comisso a dx ut constante.) Aequatio inventa
  23. Py fax+ay: (saxraque= y- x dy: dx aequatio praestanda
  24. ss
  25. 1
  26. sit 1: 1XX - aa = M (= du y = SM Sn dM = +C:M SAX+y = XM
  27. Ergo ex aeq. 2. fit
  28. Sn XM: SXN = (n - XM. seu ((a XM = SXMsM = (XM XM
  29. Ergo diferentiando sn xa XMSM + (XM M - ( XMXM = sXMM.
  30. sin XM = X (M + suM XM XM (XMM. (XMX dm
  31. +
  32. seu pe ex. 8 per 6) -S(MXm: M = (M - Xm seu -((M XM = M Sm = XMM
  33. et differentiando SM XM = (MM Y ((M dm seu) -sM No (= _MM + X M XM
  34. fee 2M =XMuod falsum. itaque soorte peccatum est signis
  35. debet esse dy 1: fXM = 1aM itaque non procedit
  36. ax + a du Ax + dx a: XX aa = AX XX = dx aa + de a: XX -aa
  37. Name hago fdx 4 du = LX X. SXK - aa sed (AxX. SxN-aa = Vxx-aa
  38. Aequatro efficienda sy saxa: (Tax tdue = y - Xdy: dx Aequalio inventa dy=ar. XX. aa
  39. siet sx aecus X dy et adx: dus = Sx dy q frg etvu lifiet (Y Xd9 dy: adx = y - x dy: dx. co
  40. seu fx sg du gydx = aX dy. Ergo Ex 3. 4. 2 fit sodx a = XXX- aa. Ergo ex tet
  41. n
  42. henata
  43. fiet Syxdus = y ExX aa - Xa adeoque Yx= dserentiando (y xy) = Ay sar. aa A(yR L. 1ac
  44. adx
  45. hoc est dy = adx: YXX -aq. Itaque res succedit
  46. 1.L Z

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 11, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068056:0020?run=73