Archimedes, Archimedis De insidentibvs aqvae

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            <s xml:id="echoid-s63" xml:space="preserve">
              <pb file="0010" n="10" rhead="DEINSID ENTIBVS AQVAE"/>
            centrum ipſius erit quòd & </s>
            <s xml:id="echoid-s64" xml:space="preserve">terræ centrum. </s>
            <s xml:id="echoid-s65" xml:space="preserve">Palàm igitur quòd ſuperficies
              <lb/>
            bumidi conſtantis non motibabet figuram ſpbæræ habentis centrum idem
              <lb/>
            cum terra quaniam talis est, ut ſecta per idem ſignum ſectionem faciat cir-
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            culi periferiam habentis ſignum per quod ſecatur plano.</s>
            <s xml:id="echoid-s66" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div10" type="section" level="1" n="9">
          <head xml:id="echoid-head15" xml:space="preserve">Theorema iij. Propoſitio iij.</head>
          <p>
            <s xml:id="echoid-s67" xml:space="preserve">Solidarum magnitudinum quæ ęqualis molis & </s>
            <s xml:id="echoid-s68" xml:space="preserve">ęqualis pon
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            deris cum humido dimiſſe in humidum demergentur ita ut ſu
              <lb/>
            perficiem humidi non excedant nihil & </s>
            <s xml:id="echoid-s69" xml:space="preserve">non adhuc referentur
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            ad inferius.</s>
            <s xml:id="echoid-s70" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s71" xml:space="preserve">DEmonstratur enim aliqua magnitudo æque grauium cum bumido
              <lb/>
            in bumidum, & </s>
            <s xml:id="echoid-s72" xml:space="preserve">ſi poſſibile eſt excedat ipſa ſuperſiciem humidi conſi
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            ſtat autem bumidum ut maneat immotum. </s>
            <s xml:id="echoid-s73" xml:space="preserve">Intelligatur autem ali-
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            quod planum eductum per centrum terræ, & </s>
            <s xml:id="echoid-s74" xml:space="preserve">humidi, & </s>
            <s xml:id="echoid-s75" xml:space="preserve">per ſolidam ma-
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            gnitudinem. </s>
            <s xml:id="echoid-s76" xml:space="preserve">Sectio autem ſit ſuperficiei quidem bumidi quæ a, b, g, d. </s>
            <s xml:id="echoid-s77" xml:space="preserve">Solide
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            autem magnitudines quæ e, z, b, t, inſidentia centrum autem terræ. </s>
            <s xml:id="echoid-s78" xml:space="preserve">Sint au
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            tem ſolidæ quidem magnitudinis quod quidem b, g, b, t, in bumido quod au
              <lb/>
            tem b, e, z, g extra intelligatur, & </s>
            <s xml:id="echoid-s79" xml:space="preserve">ſolida figura cõpreſſa pyramide baſſem
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            quidem babentem par alelogrommum, quod in ſuperficie bumidi, uerticem
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            autem centrum terræ ſectio autem ſit plani in quo est quæ a, b, g, d, perife-
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            ria, & </s>
            <s xml:id="echoid-s80" xml:space="preserve">planorum pyramidis quæ K, l, K, m, deſcribatur autem quędam al-
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            terius ſphæræ, ſuperficies circa centrum K, in bumido ſub e, z, b, t, quæ x, o,
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            p, ſecetur hoc a ſuperficie plani. </s>
            <s xml:id="echoid-s81" xml:space="preserve">Sumatur autem, & </s>
            <s xml:id="echoid-s82" xml:space="preserve">qnædam alia pyramis
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            æqualis, & </s>
            <s xml:id="echoid-s83" xml:space="preserve">ſimilis comprebendenti ſolidim continua ipſi ſectio autem ſit
              <lb/>
            planorum ipſius quæ K, m, K, n, & </s>
            <s xml:id="echoid-s84" xml:space="preserve">in bumido intelligatur quædam magni-
              <lb/>
              <figure xlink:label="fig-0010-01" xlink:href="fig-0010-01a" number="6">
                <image file="0010-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0010-01"/>
              </figure>
            tudo bumido aſſumpta quæ r, s, e, y, æqualis, & </s>
            <s xml:id="echoid-s85" xml:space="preserve">ſimilis ſolidæ, </s>
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