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

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    <archimedes>
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        <body>
          <chap>
            <p type="main">
              <s id="s.000994">
                <pb pagenum="193" xlink:href="010/01/201.jpg"/>
                <arrow.to.target n="marg254"/>
                <lb/>
              portionem habeat,
                <expan abbr="quã">quam</expan>
              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
                <lb/>
              fluido mercuriali conſideratæ, maiorem proportio­
                <lb/>
              nem, quam R ad S, igitur vis, & robur, quo cylindrus
                <lb/>
              FG ſursùm aſcendit in fluido M ad eam vim, qua ele­
                <lb/>
              uatur ibidem cylindrus DE maiorem proportionem
                <lb/>
              habebit, quam R ad S, erat verò S vis, qua ſolidum
                <lb/>
              DE ſursùm transferebatur in fluido M, ergò validi­
                <lb/>
              tas, & energia, qua aſcendit cylindrus FG in
                <expan abbr="eodẽ">eodem</expan>
                <lb/>
              fluido maior erit, quàm R, & hoc propoſitum fuerat. </s>
            </p>
            <p type="margin">
              <s id="s.000995">
                <margin.target id="marg254"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
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              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000996">Sed poſſumus faciliùs, & breuiori apparatu pro­
                <lb/>
              blema abſoluere, ſi modò moles corporis innatantis
                <lb/>
              intra aliud fluidum ſimpliciter augeatur multiplice­
                <lb/>
              turque. </s>
            </p>
            <p type="main">
              <s id="s.000997">
                <emph type="center"/>
                <emph type="italics"/>
              SVPPOSITIO X.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000998">VT
                <expan abbr="præcedẽs">præcedens</expan>
              problema faciliùs effici poſſit, priùs
                <lb/>
              præmitti debet, quòd quando agitur de vi, &
                <lb/>
              energia leuitatis, ſenſu conſtat duas æquales moles e­
                <lb/>
              iuſdem corporis homogenei v.g. eiuſdem ligni æquè
                <lb/>
              leues eſſe, ſcilicèt exercere conatus impulſiuos
                <expan abbr="ſursũ">ſursum</expan>
                <lb/>
              inter ſe æquales in eodem fluido, in aqua nempè, ita­
                <lb/>
              ut impelli deorsùm debeant ab æqualibus ponderi­
                <lb/>
              bus ad hoc vt vetentur eorum aſcenſus, & fixè infra </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>