Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/045.jpg" pagenum="37"/>
              piùs ad AB circuli diametrum accedunt, eò ſunt ma
                <lb/>
              iores per decimam quartam tertij Elem. Eu. ergo &
                <lb/>
              vires per eas lineas delatę à
                <expan abbr="quarũ">quarum</expan>
              extremitatibus du
                <lb/>
                <expan abbr="cẽtur">centur</expan>
              , maiores
                <expan abbr="reſiſtẽtias">reſiſtentias</expan>
                <expan abbr="habebũt">habebunt</expan>
              : at qui quò magis
                <lb/>
              ad AB, accedunt eo magis ab ED recedunt: quò igi­
                <lb/>
              tur magis ad ED accedent, eò minores erunt
                <expan abbr="reſiſtẽ-tiæ">reſiſten­
                  <lb/>
                tiæ</expan>
              , hinc ſequitur tanquam corollarium. </s>
              <s>Si duæ vi­
                <lb/>
              res perſe æquales triangulo rectangulo aptentur, cu
                <lb/>
              ius latus alterum, angulum rectum
                <expan abbr="conſtituẽtium">conſtituentium</expan>
              :
                <lb/>
              ſit earum nutus linea, ac per illud vis altera mouea­
                <lb/>
              tur, altera verò per latus angulo recto oppoſitum,
                <lb/>
              quæ erit ratio huius lateris ad illud, eadem erit reſi­
                <lb/>
              ſtentia vis illius ad vis huius
                <expan abbr="reſiſtẽtiam">reſiſtentiam</expan>
              . </s>
              <s>Atqui duo­
                <lb/>
              rum illorum laterum proportio in infinitum auge­
                <lb/>
              ri vel minui poteſt, ergo & reſiſtentia virium illis ap
                <lb/>
              plicatarum. </s>
              <s>Hoc igitur modo poſſumus vti angulo
                <lb/>
              ſeu triangulo ad motus ciendos, nempe eo immoto
                <lb/>
              vires per eius latera mouendo. </s>
            </p>
            <p type="main">
              <s>Sed & alia ratione eo vti poſſumus, ipſum ſcilicet
                <lb/>
              triangulum mouendo, qui tunc cuneus dicitur. </s>
              <s>Vt
                <lb/>
              autem eo hac ratione vtamur, vires ita diſponere o­
                <lb/>
              portet, vt altera illarum vni ex lateribus angulum
                <lb/>
              rectum conſtituentibus incumbat, altera verò lateri
                <lb/>
              ipſum ſubtendenti. </s>
              <s>Illa enim tantùm mouebitur,
                <lb/>
              quantum latus cui altera incumbit. </s>
              <s>Sit exempli gra­ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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