Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo
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            ipſi i m æquidiſtãs, & </s>
            <s xml:id="echoid-s2377" xml:space="preserve">contingens ſectionem in p; </s>
            <s xml:id="echoid-s2378" xml:space="preserve">pt uero
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            æquidiſtans b d, & </s>
            <s xml:id="echoid-s2379" xml:space="preserve">p s ad ipſam b d perpendicularis. </s>
            <s xml:id="echoid-s2380" xml:space="preserve">Demõ
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            ſtrandũ eſt, portionẽ non cõſiſtereita, ſed inclinari, donec
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            baſis in uno puncto ſuperficiem humidi cõtingat. </s>
            <s xml:id="echoid-s2381" xml:space="preserve">Maneãt
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            enim eadem, quæ in ſuperiori figura: </s>
            <s xml:id="echoid-s2382" xml:space="preserve">ducaturq; </s>
            <s xml:id="echoid-s2383" xml:space="preserve">o c ad b d
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            perpendicularis: </s>
            <s xml:id="echoid-s2384" xml:space="preserve">& </s>
            <s xml:id="echoid-s2385" xml:space="preserve">iuncta a x ad q producatur. </s>
            <s xml:id="echoid-s2386" xml:space="preserve">erit a x
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            æqualis ipſi x q. </s>
            <s xml:id="echoid-s2387" xml:space="preserve">deĩde ducatur o χ ipſi a q æquidiſtãs. </s>
            <s xml:id="echoid-s2388" xml:space="preserve">Quo
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            niã igitur portio ad humidũ eã in grauitate proportione
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            habere ponitur, quam quadratum x o ad quadratum b d:
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            </s>
            <s xml:id="echoid-s2389" xml:space="preserve">& </s>
            <s xml:id="echoid-s2390" xml:space="preserve">eandem proportionem habet pars ipſius demerſa ad to
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            tam; </s>
            <s xml:id="echoid-s2391" xml:space="preserve">hoc eſt quadratum t p ad quadratum b d: </s>
            <s xml:id="echoid-s2392" xml:space="preserve">æqualis uti
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            que erit t p ipſi x o: </s>
            <s xml:id="echoid-s2393" xml:space="preserve">cumq; </s>
            <s xml:id="echoid-s2394" xml:space="preserve">portionum i p m, a o q diame-
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            tri ſint æquales, & </s>
            <s xml:id="echoid-s2395" xml:space="preserve">portiones ipſæ æquales erunt. </s>
            <s xml:id="echoid-s2396" xml:space="preserve">Rurſus
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              <note position="right" xlink:label="note-0091-01" xlink:href="note-0091-01a" xml:space="preserve">B</note>
            quoniam in por
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              <note position="right" xlink:label="note-0091-02" xlink:href="note-0091-02a" xml:space="preserve">C</note>
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                <image file="0091-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0091-01"/>
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            tionibus æquali
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            bus, & </s>
            <s xml:id="echoid-s2397" xml:space="preserve">ſimilibus
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            a o q l, a p m l,
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            ductæ ſunt lineæ
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            a q, i m, quæ æ-
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            quales portio-
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            nes auferunt; </s>
            <s xml:id="echoid-s2398" xml:space="preserve">il-
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            la quidem ab ex
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            tremitate baſis,
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            hæc autem non
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            ab extremitate:
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            </s>
            <s xml:id="echoid-s2399" xml:space="preserve">cõſtat eam, quæ
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            ab extremitate
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            baſis ducta eſt,
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            minorem facere
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            angulum acutũ
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            cum diametro totius portionis. </s>
            <s xml:id="echoid-s2400" xml:space="preserve">& </s>
            <s xml:id="echoid-s2401" xml:space="preserve">quoniam angulus, qui
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              <note position="right" xlink:label="note-0091-03" xlink:href="note-0091-03a" xml:space="preserve">D</note>
            ad χ minor eſt angulo, qui ad n; </s>
            <s xml:id="echoid-s2402" xml:space="preserve">maior erit b c, quàm b s:
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            </s>
            <s xml:id="echoid-s2403" xml:space="preserve">cr autem, quàm ſr minor. </s>
            <s xml:id="echoid-s2404" xml:space="preserve">quare & </s>
            <s xml:id="echoid-s2405" xml:space="preserve">o g minor, quàm p z: </s>
            <s xml:id="echoid-s2406" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s2407" xml:space="preserve">g x maior, quàm z t. </s>
            <s xml:id="echoid-s2408" xml:space="preserve">ergo p z maior eſt, quàm dupla z t;</s>
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