Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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cet exceſſus quo pondus eius abſolutum ſuperat gra
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uitatem aquæ eiuſdem molis; quapropter verum
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eſt aquam C in ipſamet aqua conſtitutam, nullam
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cõ-preſſionem
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preſſionem</
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, aut grauitatem exercere. </
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Cap. 3. flui
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dum in ſuo
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toto quie
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ſcens ponde
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rat.</
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PROP. XVII.
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Idipſum alia ratione demonſtrare.
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<
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">VAs RO repleatur aqua, in eaque immergatur
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pila ferrea BA quæ filo aliquo DA ſuſtineatur
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ne ad fundum vaſis deſcendat. </
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<
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id
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">Manifeſtum eſt
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potẽ-tiam
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tiam</
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D filum, & pilam retinentem æquari ei graui
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tati quam ipſa pila in aqua exercet, & quia in vaſe
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aqueo RO deficit præcisè tanta aquæ quantitas,
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quã-tum
">quan
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tum</
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eſt ſpatium, quod corpus graue A in ipſa oc
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cupat, collocatur verò intra aquam ne dum grauę
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AB, ſed etiam defectus molis aquæ æqualis eidem̨
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AB quare ſumma poſitiuę grauitatis AB vnà cum de
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fectiuo pondere molis aquæ expulſæ à loco AB, ſci
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licet exceſſus ponderis AB ſupra pondus molis aquæ
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æqualis pilæ AB æqualis erit ponderi quod exercet
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pila AB in aqua ergò ſi huiuſmodi aquæ moles ex ſui
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natura nil in aqua ponderat quando tollitur a ſpatio
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AB moles aquea, quæ ipſum replebat reuerà tollitur
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res non grauis, & quæ nil omninò ponderat; igitur à
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pondere abſoluto ipſius AB, & à ſpatio ab ea occu
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pato nihilum, ſeù nulla grauitas ſubtrahitur, quando
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verò ab abſoluta grauitate IK pilæ AB nil prorſus
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tollitur, remanet eiuſdem gradus, ac proindè pon-</
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