Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 64r

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: 0.79.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. o sed set aliud exemplum
  2. patet reni iterum fint fieri
  3. dxsddx: dx = de dx + dvdv, : dx = deo
  4. log. ex constantem, eaque ratione
  5. in nullum in subdifferentiando oriri in commodum. Sed si faciami
  6. sit AX sddx: dx = dx + dudv: dx _ = dx + deo seu dudv: dx = ac
  7. lint tac dax + ddq a dax sdux: dx = dax seu dex - 0..
  8. s x (dlx: dx dx dax: ddv + dv et dx ddx: ddv = deo, fiet
  9. cx + ddx sadx: dx = ddes et sddx: du = dav: dex = 1 = (4) per 1, aax illo
  10. + du: dx. ubi pro ddq: ddo substituamue valorem ex aequ. 2, inet
  11. dy: deo - 1 = dco: dy +dv:dx. et differentiando dex: deo
  12. a ddydeo: dxdu + dx ddv - dodax,: dxdx seu adv: dax = exx: deo
  13. au +dco: dx 4 dv: dx a = dx: deo, sed hoc fo sed ita freret
  14. dv = - deo et dx = da et dpdado = Ldx. sed hinc oritur
  15. burdum. in equiefit Ax = -de +dx, quod absurdu. sat petendum
  16. dy sdax: dx = det ut LX Rv. + dx dudx 2 dx sddx: d =
  17. s
  18. deo du dv.: dx
  19. ss
  20. fiet dax + ddx sddx: dx = sd x R+ D: dx +
  21. dx Cdax: du = ax (ret. 1) dv:gt dx (rel. 2) do:
  22. esit + vel 2 x. do = deo et fiet ddx + ddx Sdaz: d3 = ddX rel1) +
  23. + dx d (dv: dx)
  24. 1
  25. (vet 1)
  26. Fdxado = dodpX, iAXdx) d
  27. reddondae tractabille per valores
  28. M+ a nn + ea
  29. ubi Sintegros, ut yia = a
  30. 1+ a + et
  31. Ex sddx: dx = deo + dx (rel. +) dv do: dx et du- per ibisi n
  32. a
  33. laitu mpul
  34. et deo =(el) ddv: ddx et idco = dx (ret) (dB: dx; ddv: ddx) hiiri scor
  35. et duc ddx + dx Sddx: dx = ddx rel dv:dx) + dx dedap-duddx d rel (d v.aX
  36. d
  37. axax
  38. 2et J. Idx: dx= (ret (d. 0: dxs 1 + dax d rel Cdv: dx) = (V: fx) d vel (dv: dx)
  39. (5 4c: dx + (rel(Aviax, et per 2 sit ddv dax pet (ler) (dv:
  40. dax
  41. + (let) (lv. d; de: ded
  42. s
  43. exa relilv. dx)
  44. =deo x et dd dax + ddx ler + AX: o) + ter A vides) a ler et
  45. -
  46. Ergo per 2 vel 5 fint ex 5, aulex
  47. -ddv d vel - Ax lxddv - Lvddx) d alvidx) 0
  48. unde tollendo dax
  49. Llv: dex sHtCqua ore oq. 1. fieret aequatio ideutica quod
  50. ax luid axa
  51. y + dx
  52. aa
  53. et sit
  54. aax
  55. dxopiaq d siet dilus 3) ddx Xxaa Trapdue : aa 12Xdxdx :aa
  56. sit
  57. dy deo + ex Xx: aa et ex 2, fiet g. a= Sdcoidu seu dy: a
  58. lax ddyu
  59. non est in potestite.
  60. ded aux: cocx ita ope aequs. 2 4 C habebmm, aeres in qua solum ex ay dem
  61. siecilis calcubus imclituendus pro ir ubi assumtro
  62. et
  63. ded
  64. artimeria valoris ippius, deo suctadit
  65. + ita vitend
  66. Helationes
  67. o
  68. di

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 64r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0127?run=74