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# Title: [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 (shelfmarks Leibn. Marg. 70; ZEN Leibn. Marg. 70)
# Folio 52, page id 799199311:0068
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CHIRISTIANIANGENI
PROPOSIIIO aA1V.
On noruin
LXCEBIDE.
et sotsdo id in pradodando ppodno sobi 3
cujus vertex a deorsum spectet, axis aD adhorizontem
erectus sit; e sumpto in ea quovis puncto B, ducatur inde
deorsum recta B quae C ycloidem tancat, occurratque rectae
horizontali AC in C: recta vero B F ad axem perpendicula
ris acatur, Co super F a describatur semicirculus FF A. Deinde
alia recta CE, parallela FB, secet C Vcloidem in E, rectam BC
in T, circumferentiam FE A in HI, C5 denique axem D a in C.
Dico tempus descensus per arcum C gcloidis B F, esse ad
tempus per tansentem eIcum celeritate dimidia ex B , sicut
Sienimhoc verum nest elt, habebit tempus per arcum B F. ad
dictum tempuspetL, relmajorem rationem quam arcus Fe ad
rectam EC vel minorem. Habeat primo, si fieri potest, majorem.
arcus FH ad rectam FC.
lla
2) crrcad dic
US PEF B LUEarCUS F E al F C. 9100
Er jam in Crcloide supra punctum susstucus puuclum aliud N
erit cempus per B E polt. N B, brerius tempore pot B F. Manite.
cum eAt durem punctum rrcam propinquum  posse ipsiB, ut
difterentia ceum cee sic quamtibet enla, ac proinde uc
Saliquod brerius rempore per D E (sit hoc tempUS
mino liccasae  pera  etDE. Sic icaque