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

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[121.] PROPOSITIO XXII.
[122.] Centrum oſcillationis in Pyramide.
[123.] Centrum oſcillationis Coni.
[124.] Centrum oſcillationis Sphæræ.
[125.] Centrum oſcillationis Cylindri.
[126.] Centrum oſcillationis Conoidis Parabolici.
[127.] Centrum oſcillationis Conoidis Hyperbolici.
[128.] Centrum oſcillationis dimidii Coni.
[129.] PROPOSITIO XXIII.
[130.] PROPOSITIO XXIV.
[131.] PROPOSITIO XXV.
[132.] PROPOSITIO XXVI.
[133.] HOROLOGII OSCILLATORII PARS QUINTA.
[134.] Horologii ſecundi conſtructio.
[135.] DE VI CENTRIFUGA ex motu circulari, Theoremata. I.
[136.] II.
[137.] III.
[138.] IV.
[140.] VI.
[141.] VII.
[142.] VIII.
[143.] IX.
[145.] XI.
[146.] XII.
[147.] XIII.
[148.] FINIS.
[149.] BREVIS INSTITUTIO DE USU HOROLOGIORUM AD INVENIENDAS LONGITUDINES.
[150.] Adr. Metius in Geographicis Inſtitutionibus Cap. 4.
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page |< < (189) of 434 > >|
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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