Archimedes, Archimedis De insidentibvs aqvae

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          <pb file="0008" n="8"/>
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        <div xml:id="echoid-div6" type="section" level="1" n="6">
          <head xml:id="echoid-head10" xml:space="preserve">ARCHIMEDIS DE
            <lb/>
          INSIDENTIBVS AQV AE.</head>
          <head xml:id="echoid-head11" xml:space="preserve">LIBER PRIMVS.</head>
          <head xml:id="echoid-head12" xml:space="preserve">Suppoſitio prima.</head>
          <p>
            <s xml:id="echoid-s27" xml:space="preserve">Suppon atur humidum habens talem naturam, ut partibus ip-
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            ſius ex æquo iacentibus, & </s>
            <s xml:id="echoid-s28" xml:space="preserve">exiſtentibus continuis, expellatur mi-
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            nus pulſa a magis pulſa, & </s>
            <s xml:id="echoid-s29" xml:space="preserve">unaqueque autem partium ipſius pel
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            litur humido, quod ſupra ipſius ex iſtente ſecundum perpendicu
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            larem, ſi humidum ſit deſcendens in aliquo, & </s>
            <s xml:id="echoid-s30" xml:space="preserve">ab alio aliquo
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            preſſum.</s>
            <s xml:id="echoid-s31" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div7" type="section" level="1" n="7">
          <head xml:id="echoid-head13" xml:space="preserve">Theorema primum. Propoſitio prima.</head>
          <p>
            <s xml:id="echoid-s32" xml:space="preserve">Si ſuperficies aliqua plane ſecta per aliquod ſignum ſemper
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            idem ſignum ſectionem facientem circuli periferiam centrum
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            habẽtem ſignũ, per quod planoſecatur ſphæræ, erit ſuperficies.</s>
            <s xml:id="echoid-s33" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s34" xml:space="preserve">SI enim ſuperſicies aliqua ſesta per ſignum K, plano ſuper ſestionem fa-
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            cientes circuli periferiam, centrum autem ipſius k, ſi igitur ipſa ſuperfi-
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            cies non est ſphæræ ſuperficies, non erunt omnes, quæ a centro ad ſuperfi
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            ciem, occurrentes lineæ æquales. </s>
            <s xml:id="echoid-s35" xml:space="preserve">Sit itaque a, b, g, d, ſigna in ſuperficie, & </s>
            <s xml:id="echoid-s36" xml:space="preserve">
              <lb/>
            inæquales, quæ K. </s>
            <s xml:id="echoid-s37" xml:space="preserve">a, K, b, per ipſas autem K, a, k, b, planum educatur, & </s>
            <s xml:id="echoid-s38" xml:space="preserve">fa-
              <lb/>
            ciat ſectionem in ſuperficie lineam d, a, b, g, circuli ergo eſt ipſa centrum au-
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            tem ipſius K. </s>
            <s xml:id="echoid-s39" xml:space="preserve">Q uoniam ſupponebatur ſuperficies talis non ſunt ergo inæqua
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            les lineæ K, a, K, b, neceſſarium igitur eſt ſuperficies eſſe ſphæræ ſuperficiem.</s>
            <s xml:id="echoid-s40" xml:space="preserve"/>
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          <figure number="4">
            <image file="0008-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0008-01"/>
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