Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/048.jpg" pagenum="40"/>
              longiſſimum obuolutum contineat tum quod par­
                <lb/>
              tes eius omnes ſibi inuicem
                <expan abbr="cõgruant">congruant</expan>
              : omnes enim
                <lb/>
              partes helicis cylindricæ, aut circa eundem, aut circa
                <lb/>
              æquales cylindros deſcriptæ, ſeruato eodem angulo
                <lb/>
              ſibi inuicem ſuppoſitæ congruunt. </s>
              <s>Quo fit, vt ſi ca­
                <lb/>
              ui cylindri interiori ſuperficiei impreſſa ſit helix, a­
                <lb/>
              lia verò cylindri ſuperficiei connexę ipſi cauę æqua­
                <lb/>
              li, ſeruato eodem qui in illo eſt, angulo, ſibi inui­
                <lb/>
              cem & omnes vnius omnibus alterius partibus con
                <lb/>
              gruant. </s>
            </p>
            <p type="main">
              <s>Huius autem medij cùm plures ſint partes, con
                <lb/>
              ſtat enim duabus ſuperficiebus, pluribus etiam mo
                <lb/>
              dis variari poteſt. </s>
              <s>In ſumma autem eius affectus hic
                <lb/>
              eſt, vt cylindri baſi in ſuperficie immobili circum a­
                <lb/>
              xem conuerſa, vis mouenda helicem premat: dum
                <lb/>
              enim cylindrus circum axem conuertetur, vis mo­
                <lb/>
              uenda qualibet reuolutione tantùm ſecundum cy­
                <lb/>
              lindri longitudinem mouebitur, quanta eſt diſtan­
                <lb/>
              tia duarum helicis ſpirarum. </s>
              <s>Quæ igitur erit propor
                <lb/>
              tio circunferentiæ circuli baſim cylindri
                <expan abbr="conſtituẽ-tis">conſtituen­
                  <lb/>
                tis</expan>
              ad illam
                <expan abbr="diſtãtiam">diſtantiam</expan>
              , eadem erit motus orbicularis
                <lb/>
              cuiuſlibet puncti in cylindri ſuperficie ſignati ad mo
                <lb/>
              tum rectum vis helicem prementis. </s>
            </p>
            <p type="main">
              <s>Illud igitur medium ex duobus compoſitum eſt,
                <lb/>
              recto ſcilicet & curuo: ita igitur vires illi aptandæ
                <lb/>
              ſunt, vt eius quam mouere volumus, nutus linea ſit </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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