Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/032.jpg" pagenum="24"/>
              quantum altera alteram celeritate ſuperabit,
                <expan abbr="tãtum">tantum</expan>
                <lb/>
              & vi ſuperabit. </s>
              <s>Vt ſi vis A vi B æqualis ſit, ac ita
                <expan abbr="con-nectãtur">con­
                  <lb/>
                nectantur</expan>
              , vt B quatuor ſpatiis moueatur, dum A vno
                <lb/>
              ſpatio mouebitur, B quadruplam vim habebit ad A,
                <lb/>
              quia eam in motibus ſuis proportionem ſeruant,
                <lb/>
              quam ſi
                <expan abbr="ſeruarẽt">ſeruarent</expan>
              arbitrio ſuo commiſſæ, B ad A qua­
                <lb/>
              drupla eſſet. </s>
              <s>Si igitur illis ita connexis, ipſi A adda­
                <lb/>
              tur vis triplo maior quàm ipſa ſit, B illis quatuor re­
                <lb/>
              ſiſtet, nec fiet motus. </s>
            </p>
            <p type="main">
              <s>Duarum igitur virium comparatarum, quanto
                <lb/>
              altera ſubiectum ſuum celeriùs mouebit, quàm al­
                <lb/>
              tera: tanto illa hanc celeriùs mouere poterit, quàm
                <lb/>
              ipſa moueatur, ſi illi vis
                <expan abbr="momẽtum">momentum</expan>
              additum fuerit.
                <lb/>
              </s>
              <s>Ita vt quæ erit proportio vis ad vim, eadem ſit mo­
                <lb/>
              tus, quem illa in hac ciere poteſt ad motum quo ipſa
                <lb/>
              mouebitur. </s>
              <s>Et è conuerſo quæ erit ratio motus ad
                <lb/>
              motum, eadem erit vis cui additum fuerit momen­
                <lb/>
              tum ad eam quam ipſa mouere poterit ratio reci­
                <lb/>
              procè. </s>
              <s>Iam ad problematis noſtri demonſtratio­
                <lb/>
              nem veniamus. </s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s>
                <emph type="italics"/>
              Propoſiti problematis demonſtratio.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Sit data vis A quantacunque illa ſit magna vel
                <lb/>
              parua: datum verò pondus B quantumquantum il­
                <lb/>
              lud ſit, dico me vi A pondus B tollere poſſe. </s>
              <s>Id ſic de­
                <lb/>
              monſtro. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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