Archimedes, Archimedis De insidentibvs aqvae

Table of figures

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[Figure 11]
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[Figure 12]
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[Figure 13]
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[14] Explicit de Inſidentibus Aquæ Liber Primus.
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[Figure 15]
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[Figure 16]
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[Figure 17]
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[Figure 18]
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[Figure 19]
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[Figure 20]
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[Figure 21]
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[Figure 22]
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[Figure 23]
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[Figure 24]
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[Figure 25]
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[Figure 26]
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[Figure 27]
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[Figure 28]
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[Figure 29]
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[Figure 30]
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[Figure 31]
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[Figure 32]
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[Figure 33]
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[Figure 36]
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[Figure 37]
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[Figure 38]
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              <pb file="0046" n="46" rhead="DE INSIDENTIBVS AQV AE"/>
              <figure xlink:label="fig-0046-01" xlink:href="fig-0046-01a" number="36">
                <image file="0046-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0046-01"/>
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            ſunt productœ, quœ
              <lb/>
            a, q, a, z, æquales por
              <lb/>
            tiones auferétes, pa-
              <lb/>
            lam ꝙ æquales fa-
              <lb/>
            ciunt ad dy ametros
              <lb/>
            portionũ, ad buc au-
              <lb/>
            tem & </s>
            <s xml:id="echoid-s812" xml:space="preserve">trigonorũ b,
              <lb/>
            l, s, p, w, e, æquales
              <lb/>
            ſunt anguli ꝗ apud
              <unsure/>
              <lb/>
            l, w, erunt, ets, b, e,
              <lb/>
            b, œquales. </s>
            <s xml:id="echoid-s813" xml:space="preserve">Quare
              <lb/>
            et quœ, s, r, e, r, œqua
              <lb/>
              <figure xlink:label="fig-0046-02" xlink:href="fig-0046-02a" number="37">
                <image file="0046-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0046-02"/>
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            les & </s>
            <s xml:id="echoid-s814" xml:space="preserve">quœ b, a, p, h, & </s>
            <s xml:id="echoid-s815" xml:space="preserve">
              <lb/>
            quœ a, t, b, i, et quoniā eſt
              <lb/>
            dupla, quœ y, p, ipſius y, i,
              <lb/>
            manifeſtum, quòd minor
              <lb/>
            eſt, quœ dupla quœ b, a,
              <lb/>
            ipſius a, t. </s>
            <s xml:id="echoid-s816" xml:space="preserve">Sit igitur n,
              <lb/>
            y, dupla ipſius y, t, & </s>
            <s xml:id="echoid-s817" xml:space="preserve">co
              <lb/>
            pulata protrabatur, quœ
              <lb/>
            y, b, t. </s>
            <s xml:id="echoid-s818" xml:space="preserve">Sunt auté centra
              <lb/>
            grauitatum totius qui-
              <lb/>
            dem, K, eius auté quod
              <lb/>
            intra bumidumy, eius au
              <lb/>
            tem quod extra in linea K, c,
              <lb/>
            et ſit c, erit autem propter prœ
              <lb/>
            cedens theorema hoc mani-
              <lb/>
            feſtum quòd non manet portio,
              <lb/>
            ſed inclinabitur ita, ut baſis ip-
              <lb/>
              <figure xlink:label="fig-0046-03" xlink:href="fig-0046-03a" number="38">
                <image file="0046-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0046-03"/>
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            ſius nec ſecundum unum tan-
              <lb/>
            gat ſuperficiem humidi. </s>
            <s xml:id="echoid-s819" xml:space="preserve">Q uod
              <lb/>
            autem cõſiſtet ita, ut axis ip-
              <lb/>
            ſius ad ſuperficiem humidi fa-
              <lb/>
            ciat angulum minorem angulo
              <lb/>
            f. </s>
            <s xml:id="echoid-s820" xml:space="preserve">demonſtrabitur, Conſiſtat h,
              <lb/>
            ſi poſſibile est ita, ut faciat an-
              <lb/>
            gulum non minorem angulo f,
              <lb/>
            & </s>
            <s xml:id="echoid-s821" xml:space="preserve">alia diſponantur eãdem bijs
              <lb/>
            quœ in tertia figura. </s>
            <s xml:id="echoid-s822" xml:space="preserve">Simili-
              <lb/>
            ter autem demonſtrabitur, </s>
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