DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N16D2B">
            <p id="id.2.1.237.30.0.0.0" type="main">
              <s id="id.2.1.237.30.1.2.0.a">
                <pb xlink:href="036/01/262.jpg"/>
                <figure id="id.036.01.262.1.jpg" place="text" xlink:href="036/01/262/1.jpg" number="241"/>
                <lb/>
              NM ſit æquidiſtans HI; erit LI ad IH, vt LM ad MN: &
                <lb/>
              permutando vt IL ad LM; ita HI ad NM. </s>
              <s id="id.2.1.237.30.1.2.0.b">ſed IL dupla eſt ipſius
                <lb/>
              LM; ergo & HI dupla erit MN. </s>
              <s id="N16FB2">ſed eſt etiam dupla ipſius kI,
                <lb/>
              quare kI NM inter ſe æquales erunt. </s>
              <s id="id.2.1.237.30.1.3.0">& quoniam anguli ad MI
                <lb/>
              ſunt recti; erit kM parallelogrammum rectangulum, & kN æqua
                <lb/>
              lis erit IM. </s>
              <s id="id.2.1.237.30.1.3.0.a">quare KN perimetro cylindri AB æqualis erit. </s>
              <s id="id.2.1.237.30.1.4.0">pona
                <lb/>
              tur itaq; HI in GC, erit Hk in GE. </s>
              <s id="id.2.1.237.30.1.4.0.a">circumuoluatur deinde trian
                <lb/>
              gulum HkN circa cylindrum AB, deſcribet HN helicen GFE;
                <lb/>
              cùm NK perimetro cylindri ſit æqualis; & punctum N erit in E;
                <lb/>
              & MN in CE. </s>
              <s id="N16FC8">& quia ML æqualis eſt perimetro cylindri; cir­
                <lb/>
              cumuoluatur rurſus triangulum NML circa cylindrum AB, NL
                <lb/>
              deſcribet helicen EDC. </s>
              <s id="N16FCE">quare tota LH duas deſcribet helices
                <lb/>
              CDEFG. </s>
              <s id="N16FD2">patet igitur has helices cochleæ nihil aliud eſſe, ni­
                <lb/>
              ſi planum horizonti inclinatum; cuius inclinatio eſt angulus HLI
                <lb/>
              circa cylindrum circumuolutum, ſupra quod pondus mouetur.
                <lb/>
              </s>
              <s id="id.2.1.237.30.1.5.0">
                <lb/>
              quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.238.1.0.0.0" type="margin">
              <s id="id.2.1.238.1.1.1.0">
                <margin.target id="note323"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.239.1.0.0.0" type="main">
              <s id="id.2.1.239.1.1.1.0">Quomodo autem hoc ad libram reducatur
                <expan abbr="mnnifeſtum">manifestum</expan>
              eſt ex
                <lb/>
              nona octaui libri eiuſdem Pappi. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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