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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 160, page id 799199311:0176
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CHIRHDELANI AIVGENTI
CxIEuS. Jora   a qua in minori, sicut ipsa inter se
TI
Si duo mobilia  agnali celeritate ferantur, in
circumferentus maqualious; erunt eorum vires centrifuea in
ratione contraria dametrorum.
ITI.
Si duo mobilia aqualia in circumferentiis aqualibus fe-
rantur celeritate inaquali, sed utraque motu aquabili; qua
lem in his omnibus intellici volumus; erit vis centrifuea ve-
locioris, ad vim tardioris, in ratione duplicata celeritatum.
Si mebtm un agualia.  circumferentiis inaequalibus
circumlata, vim centrifueam aequalem habuerint; erit tempus
circuitus in majori circumferentia, ad tempus circuitus in
minori, in subdupla ratione diametrorum.
Si mobile in circumferentia circuli feratur ea celeritate,
quam acquirit cadendo ex altitudine, qua sit quartae parti
diametri agnalis; habebit vim centrifueam (ua cravitaii
aequalem; hoc est, eadem vi funem quo in centro detinetur
intendet, atque cum ex eo suspensum est.
In cava superficie conoidis parabolici, quod axem ad per-
pendiculum erectum habeat, circuitus omnes mobilis, cir-
cumferentias horizonti parallelas percurrentis, sive parva
sive maona fuerint, aequalibus temporibus peraguntur: qua
tempora singula aquantur binis oscillationibus penduli, cujus
lonsitudo sit dimidium lateris recti parabola genitricis.
Si mobilia duo, ex filis inaequalibus suspensa, eyrentur
ita ut circumferentias horiz onti parallelas percurrant, capi-
te altero fili immoto manente; fuerint autem conorum, quo-
rum supersiciem fila hoc motu describunt, altitudines aqua
les; tempora quoque circulationum aqualia erunt.
160
circumferentia, vet earum diametri.
DE VE CKD