Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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dem latitudinis ſiuè non, ſemper centrum communis
grauitatis fluidi in deſcenſu parabolam deſcribet; ſi
verò brachia ſiphonis æquè inclinata ad horizontem
fuerint, deſcribet eius centrum in deſcenſu parabo­
lam quotieſcumque brachia æquè craſſa fuerint.
Cap. 2. dę
momentis
grauium in
fluido inna­
tantium
COROLLARIVM I.
Siverò in eodem angulari ſiphone vnum brachium
dilatatum, alterum verò gracile fuerit, tunc eius cen­
trum in deſcenſu curuam deſcribet hyperbolam̨
ęmulantem.
COROLLARIVM II.
Et tandem ſi vnum brachiorum perpendicularę
fuerit ad horizontem, reliquum verò inclinatum in de­
ſcenſu deſcribet commune centrum grauitatis curuam
ellipſim æmulantem.
His præmiſſis declarari debet altera libræ, ſeu ſi­
phonis proprietas, in quo centrum grauitatis eius
mouetur non quidem motu obliquo, & curuo, ſed per
lineam rectam ad horizontem perpendicularem, pro
cuius intelligentia præmittendum eſt, quod.
PROP. VI.
Duo pondera inæqualia fune non graui circa trochleam reuo­
luto ſuſpenſa, dum vnum eorum aſcendit centrum gra­
uitatis eorum per lineam rectam ad horizontem
perpendicularem deprimitur.

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