Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/190.jpg" pagenum="11"/>
            <p type="main">
              <s>Manifeſta item ſunt hæc omnia, ex ijs, quæ in eodem li­
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              bro de ſphæroidibus, & conoidibus demonſtrat Archi­
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              medes. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO IX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis fruſti pyramidis triangulam baſim ha­
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              bentis ad priſtina, cuius baſis eſt maior baſis fru­
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              ſti, & eadem altitudo, cam habet proportionem,
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              quàm rectangulum contentum duobus lateribus
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              homologis baſium oppoſitarum, vnà cum tertia
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              parte quadrati differentiæ dictorum laterum, ad
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              maioris lateris quadratum. </s>
              <s>Ad pyramidem autem,
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              cuius baſis eſt maior baſis fruſti, & eadem altitu­
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              do, vt prædictum rectangulum, vna cum prædicti
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              quadrati tertia parte, ad tertiam partem quadrati
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              maioris lateris. </s>
            </p>
            <p type="main">
              <s>Sit pyramidis triangulam baſim habentis fruſtum AB
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              CD EF: laterum autem homo­
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              logorum AB, DE, triangulorum
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              ſimilium oppoſitorum ABC, D
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              EF, ſit differentia DG: & eiuſ­
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              dem altitudinis fruſto ſit priſma
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              DEFCHK: & pyramis intelli­
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              gatur ADEF. </s>
              <s>Dico fruſtum
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              BDF ad priſma HKF, eſſe vt
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              rectangulum DEG vna cum ter­
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              tia parte quadrati DG. </s>
              <s>Ad qua­
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              dratum DE: ad pyramidem au­
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              tem ADEF, vt
                <expan abbr="prædictũ">prædictum</expan>
              rectan­
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                <figure id="id.043.01.190.1.jpg" xlink:href="043/01/190/1.jpg" number="142"/>
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              gulum DEG, vnà cum tertia parte quadrati DG, ad ter­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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