Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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quæ moles ab infimo eiuſdem fiſtulæ orificio egredi
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untur, & propterea vna, & eadem velocitate deter
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minata ab eius ſumma altitudine aqua fluit, (ſi tamen
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ſemper fiſtula repleta ſupponatur); ergo æqualibus
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temporibus tanta aquæ moles ſupernè infunditur,
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quanta inferiùs ab eadem fiſtula egreditur, quare in
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progreſſu motus intra fiſtulam
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eadẽ
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velocitate à qua
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excurrit, qua infernè egreditur, cùmque hæc veloci
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tas ab altitudine caſus, ſeu longitudine penduli, vel
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fiſtulæ determinetur, igitur velocitas aquæ intra ca
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nalem fiſtulæ ſemper eumdem gradum habet, æqua
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lem ſcilicèt ei, qui fiſtulæ longitudini competit. </
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ſtea, vt ſubſequentes propoſitiones demonſtrari com
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modiùs poſſint; Primò ſupponendum eſt vt euidens,
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quòd ab eodem fiſtulæ orificio,
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perpẽdicularitèr
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ta
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men erecto ad directionem aquæ fluentis, duæ moles
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æquales aquæ æqualibus temporibus egreſſæ neceſ
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ſariò æqualibus velocitatibus egredi debent; & è
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cõ-uerſo
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uerſo</
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ſi velocitates æquales fuerint, paritèr moles a
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quæ æqualibus temporibus effluxæ erunt quoque in
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ter ſe æquales. </
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dupla eodem tempore paritèr dupla moles aquæ ab
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æquali foramine egreditur, idemque dicendum eſt
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de qualibet æquè multiplici proportione: paritèrque
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ſi velocitas partes fuerit alterius velocitatis, paritèr
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moles aquæ ab æqualibus foraminibus eodem tem
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pore egredientes eamdem proportionem commen
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ſurabilem habebunt, quam habent
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earũ
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velocitates.
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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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Supp. 1.</
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Supp. 2.</
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