Archimedes, Archimedis De insidentibvs aqvae

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            <s xml:id="echoid-s176" xml:space="preserve">
              <pb o="6" file="0015" n="15" rhead="LIBER I."/>
            ſiratum eſt enim quòd magnitudines ſolidæ leuioris humido impreſſæ in bn
              <unsure/>
              <lb/>
            midum tanta ui referuntur ad ſurſum quanto humidum æque molis cum
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            magnitudine eſt grauius magnitudine. </s>
            <s xml:id="echoid-s177" xml:space="preserve">Eſt autem humidum habens molem
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            æqualem cum d. </s>
            <s xml:id="echoid-s178" xml:space="preserve">Palàm igitur quòd magnitudo in qua, a, fertur in deor-
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            ſum tanta grauitate quanta eſt g.</s>
            <s xml:id="echoid-s179" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div19" type="section" level="1" n="14">
          <head xml:id="echoid-head20" xml:space="preserve">Suppoſitio ſecunda.</head>
          <p>
            <s xml:id="echoid-s180" xml:space="preserve">Supponatur eorum quæ in humido ſurſum feruntur vnum-
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            quodque ſurſum feri ſecundum perpendicularem quę per cen
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            trum grauitatis ipſorum produccitur.</s>
            <s xml:id="echoid-s181" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div20" type="section" level="1" n="15">
          <head xml:id="echoid-head21" xml:space="preserve">Theorema viij. Propoſitio viij.</head>
          <p>
            <s xml:id="echoid-s182" xml:space="preserve">Si aliqua ſolida magnitudo habens figuram portionis ſphæ-
              <lb/>
            ræ in humidum demittatur ita ut baſis portionis nõ tangat hu-
              <lb/>
            midum figura inſidebit recta ita, ut axis portionis ſecundum
              <lb/>
            perpendicularem ſit. </s>
            <s xml:id="echoid-s183" xml:space="preserve">& </s>
            <s xml:id="echoid-s184" xml:space="preserve">ſi ab aliquo trahitur figura ita, ut ba-
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            ſis portionis tangat humidum, non manet declinata ſecun-
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            dum dimittatur, ſed recta reſtituatur.</s>
            <s xml:id="echoid-s185" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s186" xml:space="preserve">E T igitur ſi figura leuior exiſtens humido dimittatur in humidum ita
              <lb/>
            ut baſis ipſius tota ſit in humido figura inſidebit recta ita ut axis ip-
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            ſius ſit ſecundum perpendicularem. </s>
            <s xml:id="echoid-s187" xml:space="preserve">Intelligatur enim aliqua ma-
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            gnitudo qualis dicta eſt in humidum demiſſa intelligatur etiam & </s>
            <s xml:id="echoid-s188" xml:space="preserve">planum
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            productum per axem portionis & </s>
            <s xml:id="echoid-s189" xml:space="preserve">per centrum terræ. </s>
            <s xml:id="echoid-s190" xml:space="preserve">Sectio autem ſit ſu-
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              <figure xlink:label="fig-0015-01" xlink:href="fig-0015-01a" number="11">
                <image file="0015-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0015-01"/>
              </figure>
            perficiei quidem humidi quæ a, b, g, d, periferia, figuræ autem e, z, b,
              <lb/>
            periferia & </s>
            <s xml:id="echoid-s191" xml:space="preserve">quæ a, b, recta axis autem portionis ſitq́ue z, t. </s>
            <s xml:id="echoid-s192" xml:space="preserve">Siigitur </s>
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