Valerio, Luca, De centro gravitatis solidorum, 1604

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        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/097.jpg" pagenum="10"/>
              ad KM: & permutando, maior DH ad F
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              K
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              , quam LH, ad
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              M
                <emph type="italics"/>
              K
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              : hoc eſt, quam BG, ad DH: hoc eſt minor propor­
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              tio BG ad DH, quam DH, ad FK. </s>
              <s>Quod demon­
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              ſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VI.
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              </s>
            </p>
            <p type="main">
              <s>Si ſint tres magnitudines inæquales, & aliæ il­
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              lis multitudine æquales binæque in duplicata pri
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              marum proportione. </s>
              <s>Sit autem minor proportio
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              primæ ad ſecundam, quam ſecundæ ad tertiam in
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              primis; erit minor proportio primæ ad ſecundam,
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              quam ſecundæ ad tertiam in ſecundis. </s>
            </p>
            <p type="main">
              <s>Sint tres magnitudines A, B, C, & aliæ illis multitudine
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              æquales D, E, F. quarum ipſius D ad E proportio ſit du­
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              plicata eius, quæ eſt A ad B: & E ad F, duplicata eius,
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              quæ eſt B ad C. ſit autem mi­
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              nor proportio A ad B, quam
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              B ad C. </s>
              <s>Dico minorem eſse
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              proportionem D ad E, quam
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              E ad F. </s>
              <s>Sit enim vt C ad B,
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              ita B ad G: & vt B ad A, ita
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              A ad H. </s>
              <s>Igitur G ad C dupli­
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              cata erit proportio ipſius G ad
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              B, hoc eſt B ad C: ſimiliter
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              erit H ad B, duplicata propor­
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              tio ipſius A ad B. </s>
              <s>Vt igitur
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              eſt H ad B, ita erit D ad E: &
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              vt G ad C, ita E ad F. Rur­
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              ſus, quia minor eſt proportio
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                <figure id="id.043.01.097.1.jpg" xlink:href="043/01/097/1.jpg" number="71"/>
                <lb/>
              A ad B, quam B ad C, ſed vt A ad B, ita eſt H ad A </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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