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

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1
cialis, cuius fulcimentum eſt circuli periphęria ra­
dio EB deſcripta.
Cap. 11. gra­
uia in fluido
velocitati­
bus inæqua­
libus ferri
debere.
Et hoc ſemper verum eſſe videtur in vaſis amplis,
ſi tamen ſolida aſcendentia figuram oblongam, & æ­
què craſſam habuerint, ſcilicèt ſi fuerint priſmatą,
vel cylindri, in figuris verò conicis, vel incuruatis
varietas aliqua reperitur, vt inferiùs patebit.
PROP. CCXXVI.
E contra in vaſis valdè reſtrictis, & angustis amplitudo ſi­
phonis aquei ſolidum ambientis, & deorsùm fluentis mi­
nor eſſe debet baſi eiuſdem ſolidi, ſed contrario ordine re­
ſpondere debent ſuis velocitatibus.
PRo cuius intelligentia ſupponatur fiſtula, ſeù ſtri­
ctum vas vitreum cylindricum RSTX aqua ple­
num, & in eo immergatur ligneus cylindrus ABCD,
cuius baſis ſemidiametri QA quadratum maius ſit re­
ctangulo KDL, tunc enim conſtat,
164[Figure 164]
quod baſis circulus AD maior eſt
zona circulari KLDA, & propterea
amplitudo ſiphonis aquæ fluentis
minor erit amplitudine cylindri ſo­
lidi aſcendentis; quia verò tantum­
dem cylindrus ſolidus in aqua aſcen­
dit
quanta eſt moles aquæ AGHD
è ſupremo loco expulſa, igitur vt
ſummitas cylindri AD perpendicu­
lari
motu feratur ad locum GH opor­
tet vt cylindrus aqueus AGHD è ſuo loco expella­
tur, cuius baſis æqualis eſt ipſi AD; vt verò prædicta

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