Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/048.jpg" pagenum="40"/>
              guli, ſed aliqua earum, quæ ab angulis ad bipartitorum
                <lb/>
              laterum ſectiones cadunt, neceſse eſt in altero triangulo
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              tria puncta prædicto puncto eſse ſimiliter poſita? </s>
              <s>quod ſi
                <lb/>
              etiam extra iſtas lineas cadat vnius trianguli punctum, ne­
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              ceſse eſt illi ſex puncta in altero triangulo eſse ſimiliter po­
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              ſita: ſed ſi quod diximus de iſoſceliis ſimilibus, & æquila­
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              teris triangulis demonſtrauerimus, rem velut ante oculos
                <lb/>
              expoſuerimus. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Datis duobustriangulis iſoſcelijs ſimilibus, &
                <lb/>
              in altero eorum dato puncto extra rectam, quæ à
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              vertice ad medium baſis cadit, duo puncta in re­
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              liquo triangulo prædicto puncto ſimiliter poſita
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              inuenire. </s>
            </p>
            <p type="main">
              <s>Sint duo triangula iſoſcelia, & ſimilia ABC, DEF:
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              quorum in altero ABC, à vertice A, ad baſim BC, bi­
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              partitam in puncto G, cadat recta AG: atque extra hanc
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                <figure id="id.043.01.048.1.jpg" xlink:href="043/01/048/1.jpg" number="28"/>
                <lb/>
              in triangulo ABC, ſit quoduis punctum H: & iuncta AH,
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              fiat angulus EDK æqualis angulo BAH; & vt BA, ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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