DelMonte, Guidubaldo, Mechanicorvm Liber

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      <text>
        <body>
          <chap id="N1043F">
            <pb xlink:href="036/01/038.jpg"/>
            <p id="id.2.1.19.3.0.0.0" type="main">
              <s id="id.2.1.19.3.1.1.0">Si verò idem circulus AFBG,
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              cuius centrum ſit R, propius fuerit
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              mundi centro S; circulum〈qué〉 à pun­
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              cto S ducatur contingens ST; punctum
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              T (vbi grauius eſt pondus) magis
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              à puncto A diſtabit, quàm punctum
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              O. ducantur enim à punctis OT ipſi
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              CS perpendiculares OMTN; conne
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              ctanturq; RT; ſitq; centrum R in li­
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              nea CS; lineaq; ARB ipſi ACB æqui
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                <arrow.to.target n="note37"/>
              diſtans. </s>
              <s id="id.2.1.19.3.1.2.0">Quoniam igitur triangula COS
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              RTS ſunt rectangula; erit SC ad CO,
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              vt CO ad CM. </s>
              <s id="N10F89">ſimiliter SR ad RT,
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              vt RT ad RN. </s>
              <s id="N10F8D">cùm itaq; ſit RT ip­
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                <arrow.to.target n="note38"/>
              ſi CO æqualis, & SC ipſa SR maior:
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              maiorem habebit proportionem SC
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              ad CO, quàm SR ad RT. </s>
              <s id="N10F98">quare ma
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              iorem quoq; proportionem habebit
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              CO ad CM, quàm RT ad RN. </s>
              <s id="id.2.1.19.3.1.2.0.a">mi
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                <arrow.to.target n="note39"/>
              nor ergo erit CM, quàm RN. </s>
              <s id="N10FA6">ſecetur
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              igitur RN in P, ita vt RP ſit ipſi
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                <figure id="id.036.01.038.1.jpg" place="text" xlink:href="036/01/038/1.jpg" number="23"/>
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              CM æqualis; & à puncto P ipſis MONT æquidiſtans ducatur
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              PQ, quæ circumferentiam AT ſecet in Q: deniq; connectatur
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              RQ. </s>
              <s id="N10FB6">quoniam enim duæ CO CM duabus RQRP ſunt æqua
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                <arrow.to.target n="note40"/>
              les, & angulus CMO angulo RPQ eſt æqualis; erit & angu­
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              lus MCO angulo PRQ æqualis. </s>
              <s id="id.2.1.19.3.1.3.0">angulus autem MCA rectus
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                <arrow.to.target n="note41"/>
              recto PRA eſt æqualis; ergo reliquus OCA reliquo QRA
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              æqualis, & circumferentia OA circumferentiæ QA æqualis quo­
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              que erit. </s>
              <s id="id.2.1.19.3.1.4.0">punctum idcirco T, quia magis à puncto A diſtat,
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              quàm Q; magis quoq; à puncto A diſtabit, quàm punctum O.
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              </s>
              <s id="N10FD1">ſimiliter oſtendetur, quò propius fuerit circulus mundi centro, eun­
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              dem magis diſtare. </s>
              <s id="id.2.1.19.3.1.5.0">atq; ita vt prius demonſtrabitur pondus in cir
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              cumferentia TAF centro R inniti, in circumferentia verò TG
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              à linea detineri; atq; in puncto T grauius eſſe. </s>
            </p>
            <p id="id.2.1.20.1.0.0.0" type="margin">
              <s id="id.2.1.20.1.1.1.0">
                <margin.target id="note35"/>
                <emph type="italics"/>
              Ex
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              11
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.20.1.1.2.0">
                <margin.target id="note36"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              18
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.20.1.1.3.0">
                <margin.target id="note37"/>
                <emph type="italics"/>
              Cor.
                <emph.end type="italics"/>
              8
                <emph type="italics"/>
              ſexti
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.20.1.1.4.0">
                <margin.target id="note38"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              8
                <emph type="italics"/>
              quinti
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.20.1.1.5.0">
                <margin.target id="note39"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              10
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.20.1.1.6.0">
                <margin.target id="note40"/>
              7
                <emph type="italics"/>
              Sexti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.20.1.1.7.0">
                <margin.target id="note41"/>
              26
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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