Archimedes, Archimedis De insidentibvs aqvae

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            <s xml:id="echoid-s251" xml:space="preserve">
              <pb file="0022" n="22" rhead="DE INS IDENTIBVS AQV AE"/>
              <figure xlink:label="fig-0022-01" xlink:href="fig-0022-01a" number="18">
                <image file="0022-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0022-01"/>
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            midum quod ſecundum ipſa in grauitate ma
              <lb/>
            gnitudo a, ad f, a, factum eſt æquale demer-
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            ſæ magnitudinis, ſcilicet a, habet ergo magni
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            tudo f, a, in grauitate ad n, i, ita b, ad r, o.
              <lb/>
            </s>
            <s xml:id="echoid-s252" xml:space="preserve">Quam autem proportionem habet r, ad r, o,
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            hanc habet proportionem adr,
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            & </s>
            <s xml:id="echoid-s253" xml:space="preserve">a, ad f, a, _demonstratum_ eſt enim.</s>
            <s xml:id="echoid-s254" xml:space="preserve"/>
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        <div xml:id="echoid-div27" type="section" level="1" n="20">
          <head xml:id="echoid-head30" xml:space="preserve">SECVNDVS.</head>
          <p>
            <s xml:id="echoid-s255" xml:space="preserve">Recta portio rectanguli conoidalis quando axem habue-
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            rit maiorem, quàm emiolium eius, quæ uſque axem omnem
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            proportionem habens ad humidum in grauitate dimiſia in
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            humido ita, ut baſis ipſius non tangat humidum, poſita incli
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            nata non manet inclin ata, ſed reſtituetur recta.</s>
            <s xml:id="echoid-s256" xml:space="preserve"/>
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          <figure number="19">
            <image file="0022-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0022-02"/>
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            <s xml:id="echoid-s257" xml:space="preserve">_R_Ectam dico conſiſtere talem portionem, quando quod ſecuit ip-
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            ſam fuerit æquidistanter ſuperficiei humidi. </s>
            <s xml:id="echoid-s258" xml:space="preserve">Sit portio rectanguli
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            conoidalis, qualis dicta est: </s>
            <s xml:id="echoid-s259" xml:space="preserve">& </s>
            <s xml:id="echoid-s260" xml:space="preserve">iaceat inclinata, demonstrandum
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            quòd non manet, ſed reſtituetur recta. </s>
            <s xml:id="echoid-s261" xml:space="preserve">Secta autem ipſa plano per axem
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            recte ad planum, quod in ſuperficie humidi portionis ſectio ſitq́ue apol.
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            </s>
            <s xml:id="echoid-s262" xml:space="preserve">rectanguli coni fectio, axis autem pertionis, & </s>
            <s xml:id="echoid-s263" xml:space="preserve">diameter ſestionis quæn,
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            o. </s>
            <s xml:id="echoid-s264" xml:space="preserve">Superficiei autem hnmidi, quàm K. </s>
            <s xml:id="echoid-s265" xml:space="preserve">Siigitur portio non eſt recta, non
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            ntique erit quæ a, l, æquidiſtans ipſi i, s, K. </s>
            <s xml:id="echoid-s266" xml:space="preserve">Quare non faciet angulum
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            rectum quæ n, o, ad i, s, ducatur ergo quæ K, ***, contingens ſectionem
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            coni penes, p.</s>
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