Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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T
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eamdem proportionem habebit, quam al
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titudo AB habet ad BE. ſit M velocitas, quæ compe
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tit longitudini fiſtulæ AB, & ſit N velocitas fiſtulæ
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CD; quoniam velocitas M aquæ fluentis per orifi
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cium B, plenitudine eius perſeuerante, ad
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N aquæ fluentis per orificium D, æquale ipſi B, ſub
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duplicata eſt eius, quam habent fiſtularum altitudi
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nes AB, & CD, ideoque velocitas M ad N erit vt AB
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ad BE, ſed moles aquæ fluentes eodem tempore per
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orificia æqualia B, D eamdem proportionem habent,
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quàm eorum velocitates, ergo moles aquæ effluxą
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R, ad molem S, eodem tempore T, eamdem propor
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tionem habebit, quam altitudo AB ad EB, quod fue
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rat oſtendendum. </
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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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Pr. 214.</
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Pr. 220.</
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PROP. CCXXII.
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Ab eadem fiſtula duæ moles aquæ in æquales egreſſæ eamdem
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proportionem habent, quam tempora excurſuum.
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eiuſdẽ
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fiſtulæ AB egrediatur mo
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les aquæ R tempore T, moles verò aquæ S
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pore</
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V; dico molem R, ad S
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eamdem proportionem ha
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bere, quam tempus T ad V,
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quia perſeuerante eadem al
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titudine fiſtulę AB ab orificio
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eius B æquè amplo vnà, & ea
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dem velocitate M aqua ſem
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per fluere debet, & ſumptis,
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vt antea H, & O, quæ eædem, & quælibet partes ſint
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V, & molis aquæ S, concludetur, quod vt
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