Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 65r

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: 0.78.

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

The machine reads it as

  1. de evolutione curvarum
  2. Ellipacae et Hyperboneae
  3. didem sio curvae carice
  4. s rduct ejsegeram raterenaleer
  5. oc nl
  6. Erbenverticem i axem VB
  7. sit curva conica VDE centrum habens (Elliptica fig. L. Hyperbolica fig. 2)
  8. firmumi tencatur alicubi ut
  9. si
  10. circumligetur ei filum, idque sti in E, liberum in V. atque ita evolvatur
  11. et extendatur, in eodem semper cum curva plano, ita ut extremi liberi mota
  12. describatur curva VF. manifestum est durante descriptione filum describens in rectam
  13. extensum, ut LF aequale esse arui evoluto V; ipsam autem fitum extensum DF
  14. semper tangere cutvam evolutam V in D et perpendiculariter occurrere curvae
  15. volutione descriptae VF in F. jam ex puncto F demittatur in axem
  16. perpendicularis FG. quae erit curvae VF ordinata. denique ipsa H LF prodncatur
  17. lum axi occurrat in p.
  18. sit currae conicae triangulum Characteristicum
  19. GWL. currae triangulum characteristicum FDH. Manifestum est haec duo
  20. Triangula esse similia. seu GW: WL: GL:: FD: DH: FH. sunt
  21. autem jam sit CB aqo Y. Et BW, y. et (G sit Z et GF sit v.
  22. erit GW aequ dx. et. N L aego dus, et FD aequ de et D Hequ. dz.
  23. Ergo fier A x: dus s:; do: dz sive dx aequ do
  24. ut
  25. dus
  26. d
  27. Ex unius puncto curvae puncto ducatur perpendicularis, ad alterius ordinatam Bt
  28. est FM aequ = C B + CB, seu =X + Z.
  29. seu ML aequ
  30. et fiet:
  31. pursus
  32. +X
  33. c
  34. =X
  35. =
  36. v.
  37. erit F: ML: i GW: W : FD: FH
  38. itemque ML aequ +) BL (+) GFa
  39. 2 aequ = aequ =. Ergo = x dus = Z aqs aequ (4) y ax 4) v ax
  40. Y(+)v
  41. dX
  42. =Z 1C (4) ay (+) do
  43. Ay
  44. dn
  45. az
  46. av aequ (= x
  47. = Y (F)v, c+ x f tque
  48. FR N y2+ v (+) 2yV aqu
  49. )du 1dv ac, F at
  50. - = tx
  51. 1
  52. Ix
  53. aequ
  54. itu
  55. Fx +Z. x eibus
  56. d
  57. (By) y uqu.
  58. Tex dus- au aequ
  59. aus
  60. ax
  61. qu.
  62. l

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 65r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0131?run=74