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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. 67

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: 0.89.

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

The machine reads it as

  1. TTOROLOG. OSOTLLATOR.
  2. vero lequicur, ex cycloidis prOpriCEaTC, CU CIECUIUS SENIEOE MLK DE LIBEARuM
  3. cangebat reculam in x, punctum de scribens Fuisse in e. Itaque,
  4. recta x F Occurrit cycloidi in e ad ansulos rectos F. Fl autem R P = Propol. 15.
  5. ipsa B Kproducta. Ergo Patet productam B X occurrero cycloidi
  6. ad ansulos rectos. quod crat demonstrandum. A quB
  7. PB OPOSTTIO
  8. Emicycloidis evolutione, à vertice caepta, alia semicy-
  9. Lclois describitur evoluta aqualis ( similis, cujus basis
  10. est in ea recta quae cycloidem evolutam in vertice contincit.
  11. Sic Cemicrelois a B C, cui luperimpolura sic alia similis A EF,
  12. quemadmodum in propolitione praecedenti. Dico, si linca Aexi-
  13. lis, circa lemicreloidem a B C applicara, crolratur, incipiendo
  14. ab a, cam describere extremitare lua iplam lemicreloidem AE F.
  15. Ouia enim ex puncto a cgrediuntur lemicrcloides A B C, AFF,
  16. in unam parrem insexx, e ambx in candem carx, ac praecerea
  17. ita comparatae, ut omnes tangentes femicrecloidis A B C OCCUITAME
  18. Temicreloidi a e F ad anoulos rectos, seguitur hanc evolucione
  19. haccis 2.
  20. illius, a termino a incepta, describi t. quod crat demonstrandum. = Propol. +.
  21. Ec apparet, si dimidiam creloidem, ipsi a BC gemellam, con-
  22. crario litu ab altera parre linex cc disponamus, velur C N, ejus
  23. erolutione, releriam dum filum, jam extensum in CF, circacam
  24. replicatur, alceram semicreloidem e Nr Aili exrremicare descri-
  25. Deum iri, qua limul cum priore A P. F inceram constitaE.
  26. Acque ex his, e propolitione 25 de descensu grariu, mani-
  27. Feltum jam est quod supra in Constructione HToroloeii de aequa-
  28. bili penduli moru dictum fuic. Paret enim perpendiculum; inter
  29. laminas binas, secundum semicrcloidem inAexas, Culpensum agi-
  30. carumque, moru suo crcloidis arcum. describere, ac proinde
  31. aequalibus temporibus quaslibet ejus reciprocationes absolvi.
  32. Non refert enim uerum in Cuperticie, secundum crcloidem cur-
  33. vaca, mobile feratur, an Filo allicatum lineam iplam in aëre per-
  34. currat, cum urrobique candem libertatem, eandem que in om-
  35. nibus curra punctis inclinationem ad motum habeat.
  36. qui
  37. LOSELIC
  38. Tolois linea sui adissstde aramerit cirnt ciors
  39. Ls

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. 67. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0083?run=74