Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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461
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dientur eodem tempore ex B prædictis duabus velo
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citatibus H, & M duæ æquales moles aquæ O, & R;
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ſi verò moles O fluat eodem tempore velocitate H
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maiori, quam M, erit quoque aqua O maior, quàm̨
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R, & ſi velocitas H minor fuerit quàm M, erit etiam
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moles aquæ O minor quàm R, cùm eodem tempore
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ex foramine B
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fluãt
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; quia verò ſunt quatuor quanti
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tates M, N, R, S, & ſumuntur duæ aliæ quantitates H,
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& O habentes quamlibet, & eamdem commenſura
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bilem proportionem
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N, & S; ſuntque
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vnà æquales, vel vnà maiores, aut minores antece
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dentibus ordinatæ, igitur M ad N eamdem propor
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tionem habebit, quam R ad S. </
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Ex pręceden
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ti prima ſup
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poſitione.</
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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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Noſtr. Enel.
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reſtitut. lib.
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3. prop. 23.</
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PROP. CCXXI.
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Ex eiſdem fistulis temporibus æqualibus fluent aquæ moles
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ſubduplicatam
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proportionẽ
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habentes altitudinum
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earũ
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.
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perpendicularitèr ad horizontem erectæ, eorum
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foramina infima B, & D æqualia ſint inter ſe, & ſem
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per fiſtularum plenitudine perſeue
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rante, eodem tempore T egrediatur
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ex foramine B moles aquæ R, at ex
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foramine D alia moles aquæ S, & ſe
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cetur altitudo EB media proportio
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nalis inter altitudines AB, & CD;
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patet AB ad EB proportionem ſub
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duplicatam habere eius, quam ha
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bet AB ad CD; dico, quòd moles a
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quæ R ad molem S eodem tempore </
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