Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 50

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: 0.90.

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

The machine reads it as

  1. DHRISTIANI IIVGFNII
  2. DE nora in le s. Trague in EriaHSALS AB D, AD F, aquales anguli A BD, A D
  3. E. Communis auccucsa est ansulus ad a. Frso dicticrianguli
  4. miles erunt, idcoqueo A ad a D uc A D ad A F.
  5. cnisf extra circulum, a ducatur b FI
  6. parallela DE, Qua OCCurrat rectae A D in H. Itaque sccundum jam
  7. demonstrata crit ut D a ad a b, ita a b ad a e, hoc cst, ita a fad
  8. a D: Ideoque rursus proporrionales Crint Af, AD, A b. Ouare
  9. constat propolitum.
  10. astOMITIO XXIII.
  11. It Cyclois a BC, cujus verrex a deorsum conversus sit,
  12. Daxe a D ad perpendiculum erecto; sumptoque in ea quolibet
  13. puncto e, ducatur inde deorsum recta B+ quae C ycloidem tan-
  14. eat, termineturque recta horizontali a I. recta vero B F ad
  15. axem perpendicularis acatur, es divisa bifariam FN in X.
  16. superea describatur semicirculus FH A. Duct à deinde per pun-
  17. etum quodlibet C in curva Ba sumptum, recta Z. C parallela
  18. BF, quae circumferentia FH N occurrat in HI, axi A D in Z, in-
  19. tellicantur per puncta C C recta tansentes utriusque curva,
  20. carumque tancentium partes iisdem duabus horiz ontalibus
  21. MS, N T intercepta sint M N, S T. Iisdemque rectis MS, N Y
  22. includantur tancentis B F pars OP, C5 axis D A pars OK.
  23. Onibus ita se habentibus, dico tempus quo crave pereur-
  24. ret rectam m N, celeritate aquabili quanta acquiritur de
  25. scendendo per arcum C gcloidis BC. fore ad tempus quo per-
  26. curretur recta oe, celeritate aquabili dimidia ejus qua ac-
  27. quiritur descendendo per totam tancentem DT, sicut est tan-
  28. sBns ST ad partem axis OR.
  29. Delcribatur enim Cuper axe a D Cemicirculus D V A SCconS rC-
  30. Ctam B F in V, _Z C in P, s jungatur a v sccanS rectaSOO, PR,
  31. C Z IN FK _E A. TUINGaNEUL ILCM H F, HI A, H X e A8; qua poltrc.
  32. ma secet rectas oc, P R in punctis A dII.
  33. Hlabet ergo dictum tempus per m ad tempus per O P, ratio-
  34. nem cam qua componitur ex racione iplarum linearum m N ad
  35. rop. s. Calit. O e, d exratione celeritatum quibus ip la percurruntur, contrarie
  36. de motu x. C, hoc es, e exratione dimidix colcritatis ex B F Sive ex
  37. quab.
  38. Prop. 3. tuj. F. a, ad cetericarem ex Bc, EVC ex P Z. F. Acqui cora celericas ex
  39. Sit jam punctum intersec
  40. EFCLOIDE.

Cite

[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 50. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0066?run=74