Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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294189HOROLOG. OSCILLATOR.11De vi
Centri-
FUGA.
IV.
Si mobilia duo æqualia, in circumferentiis in-
æqualibus circumlata, vim centrifugam æqua-
lem habuerint;
erit tempus circuitus in majori cir-
cumferentia, ad tempus circuitus in minori, in
ſubdupla ratione diametrorum.
V.
Si mobile in circumferentia circuli feratur ea
celeritate, quam acquirit cadendo ex altitudine,
quæ ſit quartæ parti diametri æqualis;
habebit
vim centrifugam ſuæ gravitati æqualem;
hoc eſt,
eadem vi funem quo in centro detinetur intendet,
atque cum ex eo ſuſpenſum eſt.
VI.
In cava ſuperficie conoidis parabolici, quod axem
ad perpendiculum erectum habeat, circuitus omnes
mobilis, circumferentias horizonti parallelas per-
currentis, ſive parvæ ſive magnæ fuerint, æqua-
libus temporibus peraguntur:
quæ tempora ſingula
æquantur binis oſcillationibus penduli, cujus longi-
tudo ſit dimidium lateris recti parabolæ genitricis.

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