Archimedes, Archimedis De insidentibvs aqvae

Table of figures

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[Figure 31]
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[Figure 32]
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[Figure 33]
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[Figure 34]
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[Figure 35]
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[Figure 36]
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[Figure 37]
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[Figure 38]
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            tur autem, & </s>
            <s xml:id="echoid-s663" xml:space="preserve">quæ quidem p, g, ęquediſtanter ipſi a, o, recta contingent
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            ſectionem apol. </s>
            <s xml:id="echoid-s664" xml:space="preserve">ſecundum p. </s>
            <s xml:id="echoid-s665" xml:space="preserve">Quæ autem p, t, ęquediſtanter ipſi b, d.
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            </s>
            <s xml:id="echoid-s666" xml:space="preserve">Quæautem p, s, perpendicularis ſuper b, d. </s>
            <s xml:id="echoid-s667" xml:space="preserve">Quoniam igitur portio ad
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            humidum in grauitate proportionem habet, quam tetragonum, quod a,
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            x, ad id, quod a, b, d. </s>
            <s xml:id="echoid-s668" xml:space="preserve">Quam autem proportionem habet portio ad humi-
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            dum, hãc habet demerſa ipſius portio ad totam, quàm autem demerſa ad
              <lb/>
            totam tetragonum, quod a, t, p, ad id, quod a, d, b, erit quæ x, ipſi t, p, æ-
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            qualis, & </s>
            <s xml:id="echoid-s669" xml:space="preserve">quæ n, o, ergo ipſi t, p, æqualis eſt. </s>
            <s xml:id="echoid-s670" xml:space="preserve">Quare, & </s>
            <s xml:id="echoid-s671" xml:space="preserve">portiones a, p, q,
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            a, p, f, inuicem ſunt æquales. </s>
            <s xml:id="echoid-s672" xml:space="preserve">Quoniam autem in portionibus æqualibus,
              <lb/>
            & </s>
            <s xml:id="echoid-s673" xml:space="preserve">ſimilibus apol. </s>
            <s xml:id="echoid-s674" xml:space="preserve">a, b, l, K, ab extremitatibus baſium productę ſunt, quæ
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            r, a. </s>
            <s xml:id="echoid-s675" xml:space="preserve">a, q, & </s>
            <s xml:id="echoid-s676" xml:space="preserve">portiones ablatæ faciunt ad dyametros angulos æquales,
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            propter tertiam figuram præſcriptarum. </s>
            <s xml:id="echoid-s677" xml:space="preserve">quare anguli qui apud y, g,
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            ſunt æquales, & </s>
            <s xml:id="echoid-s678" xml:space="preserve">quæ y, b, g, b. </s>
            <s xml:id="echoid-s679" xml:space="preserve">ergo æquales ſunt quare & </s>
            <s xml:id="echoid-s680" xml:space="preserve">quæ s, r, c, r,
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            & </s>
            <s xml:id="echoid-s681" xml:space="preserve">quæ p, Z, o, u, & </s>
            <s xml:id="echoid-s682" xml:space="preserve">quæ Z, t, s, K, n, quoniam minoré, quàm dupla quæ </s>
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Impressum