Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="044/01/025.jpg" pagenum="17"/>
            <p type="main">
              <s>Inæqualium verò virium inæqualibus motibus
                <lb/>
              reſiſtentiæ, quando motus eam inter ſe proportio­
                <lb/>
              nem ſeruabunt, quæ eſt inter eas
                <foreign lang="grc">ἀντιπεπονθῶς</foreign>
              , ſeu
                <lb/>
              reciprocè, æquales erunt. </s>
              <s>Sit enim vis A quæ ad vim
                <lb/>
              B eandem habeat
                <expan abbr="rationẽ">rationem</expan>
              quam C ad D, puta quam
                <lb/>
              3 ad 1, aut 4 ad 1, aut quæcunque alia ſit,
                <expan abbr="moueatúrq;">moueatúrque</expan>
                <lb/>
              vtraque ſpatio E contra nutum ſuum eodem tem­
                <lb/>
              pore, reſiſtentia A ad reſiſtentiam B ſe habebit, vt C
                <lb/>
              ad D per proximam concluſionem. </s>
              <s>Si verò B moue­
                <lb/>
              atur eodem tempore ſpatio aliquo quod ſe habeat
                <lb/>
              ad ſpatium E vt C ad D, reſiſtentia B huic motui ſe
                <lb/>
              habebit ad reſiſtentiam priori motui, vt C ad D per
                <lb/>
              quartam
                <expan abbr="concluſionẽ">concluſionem</expan>
              . </s>
              <s>Duæ ergo reſiſtentiæ ad ean­
                <lb/>
              dem, eandem habebunt rationem, ergo æquales e­
                <lb/>
              runt per
                <emph type="italics"/>
              9
                <emph.end type="italics"/>
              prop.
                <emph type="italics"/>
              5.
                <emph.end type="italics"/>
              Elem. Eucl. </s>
            </p>
            <p type="head">
              <s>VIII.</s>
            </p>
            <p type="main">
              <s>Si verò motuum virium inæqualium proportio
                <lb/>
              non ſit eadem quæ eſt ipſarum virium reciprocè, vis
                <lb/>
              illius quæ ad alteram maiorem habebit rationem,
                <lb/>
              quàm motus alterius ad motum ipſius, reſiſtentia
                <lb/>
              maior erit, altera verò minor. </s>
              <s>Exempli gratia, ſi vis
                <lb/>
              A ſit tripla ad vim B, & motus quo B à nutu ſuo reuel
                <lb/>
              letur, ſit minor quàm triplus ad motum A, reſiſten­
                <lb/>
              tia A erit maior quàm reſiſtentia B. </s>
              <s>Idem erit, ſi ma­
                <lb/>
              ior ſit ratio A ad B, quàm 3 ado, motus verò B ad mo­ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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