Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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cialis, cuius fulcimentum eſt circuli periphęria ra
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dio EB deſcripta. </
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Cap. 11. gra
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uia in fluido
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velocitati
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bus inæqua
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libus ferri
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debere.</
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<
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">Et hoc ſemper verum eſſe videtur in vaſis amplis,
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ſi tamen ſolida aſcendentia figuram oblongam, & æ
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què craſſam habuerint, ſcilicèt ſi fuerint priſmatą,
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vel cylindri, in figuris verò conicis, vel incuruatis
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varietas aliqua reperitur, vt inferiùs patebit. </
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PROP. CCXXVI.
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E contra in vaſis valdè reſtrictis, & angustis amplitudo ſi
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phonis aquei ſolidum ambientis, & deorsùm fluentis mi
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nor eſſe debet baſi eiuſdem ſolidi, ſed contrario ordine re
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ſpondere debent ſuis velocitatibus.
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<
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ctum vas
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cylindricum RSTX aqua ple
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num, & in eo immergatur ligneus cylindrus ABCD,
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cuius baſis ſemidiametri QA quadratum maius ſit re
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ctangulo KDL, tunc enim conſtat,
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quod baſis circulus AD maior eſt
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zona circulari KLDA, & propterea
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amplitudo ſiphonis aquæ fluentis
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minor erit amplitudine cylindri ſo
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lidi aſcendentis; quia verò tantum
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dem cylindrus ſolidus in aqua
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dit</
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quanta eſt moles aquæ AGHD
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è ſupremo loco expulſa, igitur vt
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ſummitas cylindri AD
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lari</
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motu feratur ad
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GH opor
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tet vt cylindrus aqueus AGHD è ſuo loco expella
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tur, cuius baſis æqualis eſt ipſi AD; vt verò prædicta </
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