Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo
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              <pb o="43" file="0101" n="101" rhead="DEIIS QVAE VEH. IN AQVA."/>
            ad quadratum bd: </s>
            <s xml:id="echoid-s2675" xml:space="preserve">& </s>
            <s xml:id="echoid-s2676" xml:space="preserve">quam habet portio ad humidum in
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            grauitate, eandem quadratum nt habet ad bd quadratũ,
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            ex iis, quæ dicta ſunt: </s>
            <s xml:id="echoid-s2677" xml:space="preserve">conſtat n t lineæ ψ æqualem eſſe,
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            quare & </s>
            <s xml:id="echoid-s2678" xml:space="preserve">portio-
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              <figure xlink:label="fig-0101-01" xlink:href="fig-0101-01a" number="67">
                <image file="0101-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0101-01"/>
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            nes a n z, a g q
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            ſunt æquales. </s>
            <s xml:id="echoid-s2679" xml:space="preserve">Et
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            quoniam in por
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            tionibus æquali
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            bus, & </s>
            <s xml:id="echoid-s2680" xml:space="preserve">ſimilibus
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            a g q l, a n z l, ab
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            extremitatibus
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            baſiũ ductæ ſunt
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            a q, a z, quæ æ-
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            quales portiões
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            abſcindunt: </s>
            <s xml:id="echoid-s2681" xml:space="preserve">per
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            ſpicuum eſt an-
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            gulos facere æ-
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            quales cum por
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            tionum diame-
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            tris: </s>
            <s xml:id="echoid-s2682" xml:space="preserve">& </s>
            <s xml:id="echoid-s2683" xml:space="preserve">triangu-
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            lorum n fs, g ω c, angulos, qui ad f ω æquales eſſe: </s>
            <s xml:id="echoid-s2684" xml:space="preserve">itemque
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            æquales inter ſe, s b, c b; </s>
            <s xml:id="echoid-s2685" xml:space="preserve">& </s>
            <s xml:id="echoid-s2686" xml:space="preserve">s r, c r, quare & </s>
            <s xml:id="echoid-s2687" xml:space="preserve">n χ, g y æquales:
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            </s>
            <s xml:id="echoid-s2688" xml:space="preserve">& </s>
            <s xml:id="echoid-s2689" xml:space="preserve">χ t y i. </s>
            <s xml:id="echoid-s2690" xml:space="preserve">cũq; </s>
            <s xml:id="echoid-s2691" xml:space="preserve">g h dupla ſit ipſius h i, erit n χ minor, quàm
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            duplaipſius χ t. </s>
            <s xml:id="echoid-s2692" xml:space="preserve">Sit igitur n m ipſius m t dupla: </s>
            <s xml:id="echoid-s2693" xml:space="preserve">& </s>
            <s xml:id="echoid-s2694" xml:space="preserve">iuncta
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            m K protrahatur ad e. </s>
            <s xml:id="echoid-s2695" xml:space="preserve">Itaque centrum grauitatis totius
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            erit punctum K: </s>
            <s xml:id="echoid-s2696" xml:space="preserve">partis eius, quæ eſt in humido, punctũ m: </s>
            <s xml:id="echoid-s2697" xml:space="preserve">
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            eius autem, quæ extra humidum in linea protracta, quod
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            ſit e. </s>
            <s xml:id="echoid-s2698" xml:space="preserve">ergo ex proxime demonſtratis patet, nõ manere por
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            tionem, ſed inclinari adeo, ut baſis nullo modo ſuperficiẽ
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            humidi contingat. </s>
            <s xml:id="echoid-s2699" xml:space="preserve">At uero portionem conſiſtere ita, uta-
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            xis cum ſuperficie humidi faciat angulum angulo φ mino-
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            rem, ſic demonſtrabitur. </s>
            <s xml:id="echoid-s2700" xml:space="preserve">conſiſtat enim, ſi fieri poteſt, ut
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            non faciat angulum minorem angulo φ: </s>
            <s xml:id="echoid-s2701" xml:space="preserve">& </s>
            <s xml:id="echoid-s2702" xml:space="preserve">alia eadem diſ-
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            ponantur; </s>
            <s xml:id="echoid-s2703" xml:space="preserve">ut in ſubiecta figura. </s>
            <s xml:id="echoid-s2704" xml:space="preserve">eodem modo </s>
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