Search the Nachlass

[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. 37

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: 0.87.

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

The machine reads it as

  1. TOROLOG. OSCTLLATOR
  2. ED DESCENSU
  3. oR aYLUN.
  4. EROPOSITIO
  5. A F cara circulum quad
  6. X Y
  7. Stocircalus ABC, diametro n C, cui ad anculos rectos
  8. vero 0
  9. currat a termn ait acata
  10. quidem necessario secabit circumfe-
  11. sitF
  12. rentiam, puta in B. Dico arcum BD, lineis OF, AF interce
  13. ptum, minorem esse recta DF.
  14. lungal e, l euut ea fultu cunsens circumte-
  15. rentiam RCta B C, guX necCCarIO OCCUEreFReCtA FC inteF F D.
  16. F.ltigieur asutus b a C in circulo aequalis angulo E B CF. quare
  17. d ansulus FBF, qui una cum E B C constituit angulum rectum
  18. FBC, erit aequalis B C a. Ouia aurem limilia lune triangula A B
  19. C, A C F, erit e angulus e aequalis angulo a c B. Frgoidem an-
  20. sulus e aequalis angulo F B P. Itaque ilolceles eA criangulus P F
  21. B, habens crura xequalia P E, E B. Addica ergo urrique corum
  22. recta E D, HeE F D, aequalis duabus BE, F D. HTalce vero duas
  23. majores esse constat arcu B D, iildem cerminis intercepto, e in
  24. candem partem caro. LrsO e FD eodem aecu B D major erico
  25. quare constat provolitum.
  26. eROPOSTTTOXIIT.
  27. I(dem positis, si recta a B occurrat ipsi D C intra circulum;
  28. aDico arcum BD, rectis C D, N B interceptum, majorem
  29. esse recta DF.
  30. lunsarus enim D C d ducatur arcus D B lubcenta B B. uo.
  31. niam ergo angulus A B D aequalis A C D, Hoc ett, angulo A D
  32. C; angulus aurem D = B major angulo AD F, AIVC A D C; erir
  33. ii

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. 37. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0053?run=74