Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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portionem habeat,
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R ad S, & quia (ex 9. ſuppoſi
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tione) impetus, & energia, qua cylindrus FG ſur
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sùm fertur in dato fluido M ad eam vim, qua cylin
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drus DE priori æqualis ſursùm fertur in eodem flui
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do eamdem proportionem habet, quam raritas cor
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poris FG ad raritatem alterius DE, habentque præ
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dictæ raritates ne dum abſolutè, ſed etiam in medio
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fluido mercuriali conſideratæ, maiorem proportio
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nem, quam R ad S, igitur vis, & robur, quo cylindrus
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FG ſursùm aſcendit in fluido M ad eam vim, qua ele
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uatur ibidem cylindrus DE maiorem proportionem
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habebit, quam R ad S, erat verò S vis, qua ſolidum
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DE ſursùm transferebatur in fluido M, ergò validi
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tas, & energia, qua aſcendit cylindrus FG in
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eodẽ
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fluido maior erit, quàm R, & hoc propoſitum fuerat. </
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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">Sed poſſumus faciliùs, & breuiori apparatu pro
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blema abſoluere, ſi modò moles corporis innatantis
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intra aliud fluidum ſimpliciter augeatur multiplice
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turque. </
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SVPPOSITIO X.
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præcedẽs
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problema faciliùs effici poſſit, priùs
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præmitti debet, quòd quando agitur de vi, &
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energia leuitatis, ſenſu conſtat duas æquales moles e
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iuſdem corporis homogenei v.g. eiuſdem ligni æquè
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leues eſſe, ſcilicèt exercere conatus impulſiuos
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inter ſe æquales in eodem fluido, in aqua nempè, ita
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ut impelli deorsùm debeant ab æqualibus ponderi
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bus ad hoc vt vetentur eorum aſcenſus, & fixè infra </
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