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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000056">
                <pb pagenum="6" xlink:href="010/01/014.jpg"/>
                <arrow.to.target n="marg6"/>
                <lb/>
              horizontaliter conſtitutum, ſuſpenſum, & alligatum
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              in centro C & pondus vniuerſum applicatum eritiņ
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              centro D extremo fili, vel lineæ CD: ſed penduli na­
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              tura talis eſt vt conetur deorſum ferri per arcum qua­
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              drantis DE circa centrum eius fixum C vſque ad lo­
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              cum infimum E, quod magis ad centrum terræ appro­
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              ximatur, quàm in ſitu horizontali D & patet quòd
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              vniuerſa hæc operatio neceſſaria, & naturalis eſt de­
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              pendens à deſcenſu totius grauis. </s>
              <s id="s.000057">& eſt impoſſibilę
                <lb/>
              vt fune pendulum CD ad in fimum ſitum CE perduca­
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              tur abſque eo quòd libra rigida ſitum perpendicula­
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              rem ad horizontem acquirat, quale eſt GCF, hoc ve­
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              ro minimè acquiri poteſt niſi pars minus grauis libræ
                <lb/>
              B ſurſum aſcendat per arcum BF, igitur caſus, & de­
                <lb/>
              ſcenſus totius corporis grauis AB à ſitu eleuato D ad
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              infimum E eſt vera & legitima cauſa aſcenſus corpo­
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              ris grauis B per arcum BF, quod fuerat oſtendendum. </s>
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            <p type="margin">
              <s id="s.000058">
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              Cap. 2. dę
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              momentis
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              grauium in
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              fluido inna­
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              tantium</s>
            </p>
            <figure id="id.010.01.014.1.jpg" xlink:href="010/01/014/1.jpg"/>
            <p type="main">
              <s id="s.000059">Patet igitur quod ſim­
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              plex caſus, aut deſcenſus
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              corporis grauis eſt vera,
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              & legitima cauſa motus,
                <lb/>
              & aſcenſus alicuius partis
                <lb/>
              eius ſurſum, & hoc planè
                <lb/>
              contingit quotieſcumque
                <lb/>
              graue vniuerſum ſuſtine­
                <lb/>
              tur ab aliquo eius puncto libræ realis, vel imagina­
                <lb/>
              riæ, it aut efficiatur commotio omnium partium eius
                <lb/>
              non quidem per lineas rectas inter ſe parallelas, &
                <lb/>
              horizonti perpendiculares, ſed vertiginoſas, & cir-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>