Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
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            <p type="main">
              <s>
                <pb xlink:href="044/01/026.jpg" pagenum="18"/>
              tum A ſit triplus. </s>
              <s>Contrà verò ſi A ad B ſit tripla: mo­
                <lb/>
              tus verò B ad motum A ſit maior quàm triplus, ma­
                <lb/>
              ior erit reſiſtentia B quàm A. </s>
              <s>Idem accidet, ſi A ad B
                <lb/>
              ratio minor ſit quàm 3 ad 1, motus verò B ad motum
                <lb/>
              A ſit triplus. </s>
              <s>Hunc autem exceſſum & defectum
                <expan abbr="nõ">non</expan>
                <lb/>
              vlteriùs ſcrutabimur, vt ipſius quantitatis
                <expan abbr="menſurã">menſuram</expan>
                <lb/>
              aſſequamur: alioqui in infinitum fieret progreſſus. </s>
            </p>
            <p type="main">
              <s>Ex his colligimus
                <expan abbr="reſiſtẽtias">reſiſtentias</expan>
              tribus modis æqua­
                <lb/>
              les aut inæquales dici, per ſe ſcilicet aut motione, aut
                <lb/>
              vtroque modo. </s>
              <s>Per ſe quidem cùm ſubiectorum
                <lb/>
              vires ſunt æquales (id eſt æqualiter ſua ſubiecta mo­
                <lb/>
              uent) aut inæquales. </s>
              <s>Motione verò quando per ſe
                <lb/>
              quidem in æquales ſunt, motione verò æquales
                <expan abbr="fiũt">fiunt</expan>
              :
                <lb/>
              aut quando per ſe æquales ſunt, motione verò inæ­
                <lb/>
              quales
                <expan abbr="fiũt">fiunt</expan>
              eo, quo dictum eſt, modo. </s>
              <s>Vtroque mo
                <lb/>
              do æquales aut inæquales
                <expan abbr="dicũtur">dicuntur</expan>
              , quando tum per
                <lb/>
              ſe, tum motione tales fiunt. </s>
              <s>His explicatis videamus
                <lb/>
              quis eorum ſit effectus, vbi vires committentur. </s>
            </p>
            <p type="head">
              <s>IX.</s>
            </p>
            <p type="main">
              <s>Primùm ex prima concluſione ſequitur quę erit
                <lb/>
              ratio reſiſtentiæ ad reſiſtentiam, eandem fore reſi­
                <lb/>
              ſtentiæ ad vim cuius eſt altera reſiſtentia: ſunt enim
                <lb/>
              vis &
                <expan abbr="reſiſtẽtia">reſiſtentia</expan>
              in
                <expan abbr="eodẽ">eodem</expan>
              ſubiecto æquales. </s>
              <s>Ergo mul­
                <lb/>
              to magis ſequitur, ſi
                <expan abbr="reſiſtẽtia">reſiſtentia</expan>
              altera maior, altera mi
                <lb/>
              nor fuerit, illam huius vi
                <expan abbr="maiorẽ">maiorem</expan>
              fore, vel illius vim
                <lb/>
              hac reſiſtentia maiorem, ſi æqualis æqualem. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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