Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/098.jpg" pagenum="11"/>
              & vt B ad C, ita G ad B; erit ex æquali minor proportio
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              H ad B, quam G ad C, ſed vt H ad B, ita erat D, ad
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              E: & vt G ad C, ita E ad F; minor igitur proportio erit
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              D ad E, quam E ad F. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si ſint octo magnitudines quaternæ propor­
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              tionales: tertiæ autem vtriuſque ordinis inter ſo
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              ſint vt primæ; erit vt compoſita ex primis ad com
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              poſitam ex ſecundis, ita compoſita ex tertiis ad
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              compoſitam ex quartis. </s>
            </p>
            <p type="main">
              <s>Sint octo magnitudines quaternæ ſum­
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              ptæ proportionales, vt A ad B, ita C ad
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              D. & vt E ad F, ita G ad H. ſit autem vt
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              A ad E, ita C ad G. </s>
              <s>Dico eſse vt AE, ad
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              ABF, ita CG, ad DH. </s>
              <s>Quoniam enim
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              componendo eſt vt AE, ad E, ita, CG,
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              ad G; ſed vt E ad F, ita eſt G, ad H; erit
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              ex æquali, vt AE, ad F, ita CG, ad H.
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              </s>
              <s>Eadem ratione erit vt AE, ad B, ita CG,
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              ad D: & conuertendo, vt B ad AE, ita
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              D ad CG. ſed vt AE, ad F, ita erat
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              CG ad H; ex æquali igitur erit vt B
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              ad F, ita D, ad H: & componendo, vt
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              BF ad F, ita DH ad H: & conuerten­
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              do, vt F ad BF, ita H, ad DH. </s>
              <s>Sed vt
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              AE, ad F, ita erat CG ad H; ex æqua
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              li igitur erit vt AE ad BF, ita CG,
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              ad DH. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <figure id="id.043.01.098.1.jpg" xlink:href="043/01/098/1.jpg" number="72"/>
          </chap>
        </body>
      </text>
    </archimedes>
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