DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N1043F">
            <p id="id.2.1.11.2.0.0.0" type="main">
              <s id="id.2.1.11.2.1.8.0">
                <pb xlink:href="036/01/028.jpg"/>
              D. </s>
              <s id="N109F9">quia verò circumfe
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              rentiæ ſunt æquales, erit
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              angulus MDO mixtus
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              angulo ODG mixto
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              æqualis; alter ergo an
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              gulus, vt ODG minor
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              erit MDG, hoc eſt mi
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              nor minimo. </s>
              <s id="id.2.1.11.2.1.9.0">angulus
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              deinde OGH minor
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              erit angulo MDH; qua
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              re ODH ad angulum
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                <arrow.to.target n="note19"/>
              HDG minorem habe
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              bit
                <expan abbr="proportionẽ">proportionem</expan>
              , quàm
                <lb/>
                <figure id="id.036.01.028.1.jpg" place="text" xlink:href="036/01/028/1.jpg" number="15"/>
                <lb/>
              MDH ad eundem HDG. </s>
              <s id="N10A25">dabitur ergo quoquè proportio mi­
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              nor minima, quam in infinitum adhuc minorem ita oſtende­
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              mus. </s>
              <s id="id.2.1.11.2.1.10.0">Deſcribatur circulus DR, cuius centrum E, & ſemidiame­
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                <arrow.to.target n="note20"/>
              ter ED. continget circumferentia DR circumferentiam DG in
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                <arrow.to.target n="note21"/>
              puncto D, lineamquè DO in puncto D; quare minor erit angu­
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              lus RDG angulo ODG. ſimiliter & angulus RDH angulo
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              ODH. </s>
              <s id="id.2.1.11.2.1.10.0.a">minorem igitur proportionem habebit RDH ad HDG,
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              quàm ODH ad HDG. </s>
              <s id="id.2.1.11.2.1.10.0.b">Accipiatur deinde inter EC vtcun­
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              que punctum P, ex quo in diſtantia PD alia deſcribatur circum­
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              ferentia DQ, quæ circumferentiam DR, circumferentiamquè
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              DG in puncto D continget; & angulus QDH minor erit
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              angulo RDH: ergo QDH ad HDG minorem habebit propor
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              tionem, quàm RDH ad HDG. </s>
              <s id="N10A4E">eodemquè prorſus modo, ſi
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              inter PC aliud accipiatur punctum, & inter hoc &C aliud, & ſic
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              deinceps, infinitæ deſcribentur circumferentiæ inter DO, & cir
                <lb/>
              cumferentiam DG; ex quibus proportionem in infinitum ſemper
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              minorem inueniemus. </s>
              <s id="id.2.1.11.2.1.11.0">atque ideo proportionem ponderis in D
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              ad pondus in E non adeo minorem eſſe ſequitur, quin ad infini
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              tum ipſa ſemper minorem reperiri poſsit. </s>
              <s id="id.2.1.11.2.1.12.0">& quia angulus MDG
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              in infinitum diuidi poteſt; exceſſus quoque grauitatis D ſupra E
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              diuidi ad infinitum poterit. </s>
            </p>
            <p id="id.2.1.12.1.0.0.0" type="margin">
              <s id="id.2.1.12.1.1.1.0">
                <margin.target id="note15"/>
                <emph type="italics"/>
              Tartalea ſexta propoſitione octaui libri.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.12.1.1.2.0">
                <margin.target id="note16"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              12.
                <emph type="italics"/>
              tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.12.1.1.3.0">
                <margin.target id="note17"/>
              29.
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.12.1.1.4.0">
                <margin.target id="note18"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              18.
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.12.1.1.5.0">
                <margin.target id="note19"/>
              8.
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.12.1.1.6.0">
                <margin.target id="note20"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              11.
                <emph type="italics"/>
              tertit.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.12.1.1.7.0">
                <margin.target id="note21"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              18.
                <emph type="italics"/>
              tertii.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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