Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/020.jpg" pagenum="12"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO IV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Datis duobus triangulis ſcalenis ſimilibus, &
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              dato puncto in altero eorum, vnum duntaxat pun­
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              ctum in reliquo triangulo prædicto puncto ſimi­
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              liter poſitum poteſt inueniri. </s>
            </p>
            <p type="main">
              <s>Sint data duo triangula ſcalena ſimilia ABC, DEF,
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              & in triangulio ABC datum punctum G: ſint autem
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              hæc triangula ſimiliter poſita. </s>
              <s>Dico in triangulo DEF,
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              vnum duntaxat punctum puncto G ſimiliter poſitum in­
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              ueniri poſse. </s>
              <s>Iunctis enim AG, BG, GC, ponatur
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              angulus EDH, æqualis angulo BAG, & angulus DEH,
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                <figure id="id.043.01.020.1.jpg" xlink:href="043/01/020/1.jpg" number="10"/>
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              æqualis angulo ABG, & HF iungatur. </s>
              <s>Manifeſtum
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              eſt igitur ex præcedentis Theorematis demonſtratione,
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              triangula EDH, HDF, FEH, ſimilia eſse triangulis
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              BAG, GAC, CBG, prout inter ſe reſpondent poſi­
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              tione, quorum ſex triangulorum binis quibuſque binæ ba­
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              ſes homologæ reſpondent: AB ED, AC DF, BC </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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