DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/111.jpg" pagenum="107"/>
            <p id="N14089" type="margin">
              <s id="N1408B">
                <margin.target id="marg169"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.111.1.jpg" xlink:href="077/01/111/1.jpg" number="70"/>
            <p id="N14098" type="head">
              <s id="N1409A">COROLLARIVM.</s>
            </p>
            <p id="N1409C" type="main">
              <s id="N1409E">Ex hoc elici poteſt centrum grauitatis cuiuſlibet trianguli
                <lb/>
              eſſe in medio ductæ lineæ baſi æquidiſtantis, quę latus diui­
                <lb/>
              datita, vt portio ad verticem ſit reliquę ad baſim dupla. </s>
            </p>
            <p id="N140A4" type="main">
              <s id="N140A6">Eſt enim DG ad GE, vt BF ad FC. ſunt verò BF
                <arrow.to.target n="marg170"/>
              æ­
                <lb/>
              quales; ergo & DG GE inter ſe ſunt æquales. </s>
              <s id="N140AE">quare grauita­
                <lb/>
              tis centrum G eſt medium lineę DE. </s>
            </p>
            <p id="N140B2" type="margin">
              <s id="N140B4">
                <margin.target id="marg170"/>
                <emph type="italics"/>
              lemm.
                <emph.end type="italics"/>
                <lb/>
              2.
                <emph type="italics"/>
              der
                <lb/>
              ſtratic
                <emph.end type="italics"/>
                <lb/>
              13.
                <emph type="italics"/>
              hi
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N140CC" type="head">
              <s id="N140CE">PROPOSITIO. XV.</s>
            </p>
            <p id="N140D0" type="main">
              <s id="N140D2">Omnis trapezij duo latera inuicem habentis æ­
                <lb/>
              quidiſtantia centrum grauitatis eſt in recta linea,
                <lb/>
              quæ latera æquidiſtantia bifariam ſecta
                <expan abbr="cõiungit">coniungit</expan>
              ;
                <lb/>
              ita diuiſa, vt ipſius portio terminum habens mino
                <lb/>
              rem parallelam bifariam diuiſam ad
                <expan abbr="reliquã">reliquam</expan>
              por­
                <lb/>
              tionem eandem habeat proportionem, quam ha
                <lb/>
              bet vtra〈que〉 ſimul, quæ ſit æqualis duplæ maioris
                <lb/>
              parallelarum cum minore ad
                <expan abbr="duplã">duplam</expan>
              minoris cum
                <lb/>
              maiore. </s>
            </p>
            <p id="N140F0" type="main">
              <s id="N140F2">
                <emph type="italics"/>
              Sit trapezium ABCD habens latera AD BC parallela. </s>
              <s id="N140F6">linea
                <lb/>
              verò EF bifariam diuidat AD BC. Quòd igitur in linea EF ſit cen
                <lb/>
              trum grauitatis trapezii, perſpicuum est. </s>
              <s id="N140FC">productis enim CDG FEG
                <lb/>
              BAG, li〈que〉t in idem punctum,
                <emph.end type="italics"/>
              putà G
                <emph type="italics"/>
              concurrere.
                <emph.end type="italics"/>
              propterea quòd
                <lb/>
              cùm ſit AD æquidiſtans ipſi BC, neceſſe eſt
                <arrow.to.target n="marg171"/>
                <lb/>
              ipſius BA ad AG, ipſiusquè FE ad EG, & CD ad DG, quæ
                <expan abbr="ni-mirũ">ni­
                  <lb/>
                mirum</expan>
              in omnibus
                <expan abbr="eadẽ">eadem</expan>
              eſt, in
                <expan abbr="vnũ">vnum</expan>
              &
                <expan abbr="idẽ">idem</expan>
                <expan abbr="pũctũ">punctum</expan>
              terminare.
                <emph type="italics"/>
                <expan abbr="eritq́">erit〈que〉</expan>
              ;
                <lb/>
              trianguli GBC centrum grauitatis in linea GF. ſimiliter〈que〉 trianguli
                <emph.end type="italics"/>
                <arrow.to.target n="marg172"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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