Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/051.jpg" pagenum="43"/>
              mouere volumus, id nonniſi paruo motu facere
                <lb/>
              poſſumus: ſi verò vim aliquam magno motu mo­
                <lb/>
              uere velimus, vi magna mouente ad id opus eſt. </s>
              <s>Si
                <lb/>
              vi parua magnum motum ciere volumus, mini­
                <lb/>
              mam vim mouendam eſſe oportet: vt puta, ſi libra
                <lb/>
              vna centum libras mouere velimus, oportet motum
                <lb/>
              illius, motu huius
                <expan abbr="cẽtuplo">centuplo</expan>
              maiorem eſſe. </s>
              <s>Si verò ve­
                <lb/>
              limus libra vna aliam vim ita mouere, vt ea cen­
                <lb/>
              tuplo citiùs moueatur, quàm libræ illius pondus, il­
                <lb/>
              lam centeſimam tantùm libræ vnius partem eſſe ne­
                <lb/>
              ceſſe eſt: ſi verò libram vnam ita mouere velimus, vt
                <lb/>
              centuplo citius moueatur, quàm vis quæ illam mo­
                <lb/>
              uebit, vi centum libris maiore ad id opus erit. </s>
              <s>
                <expan abbr="Neq;">Neque</expan>
                <lb/>
              patitur natura ſibi in his vim fieri: ſi enim eiuſmodi
                <lb/>
              proportio aliquo modo infringi poſſet, ſtatim da­
                <lb/>
              retur
                <foreign lang="grc">αὐτώμα ἐνδέλεχες</foreign>
              , vel vt
                <expan abbr="vocãt">vocant</expan>
              , motus perpetuus
                <lb/>
              in perpetua materia. </s>
            </p>
            <p type="main">
              <s>Ex his igitur fundamentis inuentæ ſunt machinæ
                <lb/>
              omnes, quotquot antehac ſunt excogitatę, & quot­
                <lb/>
              quot poſthac excogitari poterunt, ad ea referentur. </s>
            </p>
            <p type="main">
              <s>Itaque ſi propoſitæ cuiuſcunque machinæ effe­
                <lb/>
              ctum ſcire velimus, conſideranda ſunt duo eius
                <lb/>
              extrema, quibus vires applicantur: quæ enim erit
                <lb/>
              ratio motus vnius ex illis extremis, ad motum
                <lb/>
              alterius eadem erit & virium, quæ illis extre­
                <lb/>
              mis ad motum ciendum applicari poterunt, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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