Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="044/01/027.jpg" pagenum="19"/>
            <p type="head">
              <s>X</s>
            </p>
            <p type="main">
              <s>Reſiſtentia autem vi contrariæ commiſſa
                <expan abbr="tãtum">tantum</expan>
                <lb/>
              de ea tollit quanta eſt ipſa reſiſtentia. </s>
              <s>Sublata autem
                <lb/>
              vi tollitur motus: ſublata verò reſiſtentia, ſi vis adſit,
                <lb/>
              ſequitur motus. </s>
              <s>Vbi igitur vis & reſiſtentia inęqua­
                <lb/>
              les committentur, ſi vis maior ſit quàm reſiſtentia,
                <lb/>
              fiet motus ſecundum vis illius nutum, & contra nu­
                <lb/>
              tum vis illius quæ reſiſtit. </s>
              <s>Si verò reſiſtentia maior
                <lb/>
              fuerit, tum ipſa fiet vis mouens, & vim contrariam
                <lb/>
              contra nutum ipſius mouebit, dum ipſa nutu ſuo
                <lb/>
              mouebitur. </s>
              <s>Hinc ſequuntur duo theoremata, circa
                <lb/>
              quæ totius huius conſiderationis cardo vertitur. </s>
            </p>
            <p type="head">
              <s>THEOREMA I.</s>
            </p>
            <p type="main">
              <s>Duarum virium connexarum, quarum (ſi mo­
                <lb/>
              ueantur) motus erunt ipſis
                <foreign lang="grc">ἀντιπεπονθῶς</foreign>
              proportiona­
                <lb/>
              les neutra alteram mouebit, ſed æquilibrium
                <expan abbr="faciẽt">facient</expan>
              . </s>
            </p>
            <p type="main">
              <s>Sit vis A commiſſa cum vi B, ſitque vis A ad vim
                <lb/>
              B ratio per ſe, vt C ad D
                <expan abbr="quæcũque">quæcunque</expan>
              illa ſit, ſiue dupla,
                <lb/>
              ſiue tripla, ſiue alia. </s>
              <s>Sit etiam
                <expan abbr="eadẽ">eadem</expan>
              ratio motus quo
                <lb/>
              B mouebitur, ſi ita, vt connexa ſunt, moueantur) ad
                <lb/>
              motum quo A mouebitur, quæ eſt C ad D, dico mo­
                <lb/>
              tum non ſequuturum, ſed factum iri æquilibrium.
                <lb/>
              </s>
              <s>Aut enim A & B vires per ſe erunt æquales aut inæ­
                <lb/>
              quales: ſi æquales, ergo & ipſarum motus æquales e­
                <lb/>
              runt: ſunt enim ex hypotheſi ipſis proportionales: </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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