Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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              <s id="s.000204">
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              cet exceſſus quo pondus eius abſolutum ſuperat gra­
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              uitatem aquæ eiuſdem molis; quapropter verum
                <expan abbr="">non</expan>
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              eſt aquam C in ipſamet aqua conſtitutam, nullam
                <expan abbr="cõ-preſſionem">con­
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                preſſionem</expan>
              , aut grauitatem exercere. </s>
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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.</s>
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              <s id="s.000206">
                <emph type="center"/>
              PROP. XVII.
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              <s id="s.000207">
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                <emph type="italics"/>
              Idipſum alia ratione demonſtrare.
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              <s id="s.000208">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. </s>
              <s id="s.000209">Manifeſtum eſt
                <expan abbr="potẽ-tiam">poten­
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                tiam</expan>
              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,
                <expan abbr="quã-tum">quan­
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                tum</expan>
              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-</s>
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