Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
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              <pb file="0178" n="178" rhead="FED. COMMANDINI"/>
            producantur. </s>
            <s xml:space="preserve">Quoniam igitur pyramis ſecatur planis bafi
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            æquidiſtantibus, ſectiones ſimiles erunt: </s>
            <s xml:space="preserve">atque erunt qua-
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              <anchor type="note" xlink:label="note-0178-01a" xlink:href="note-0178-01"/>
            drata, uel rectangula circa circulos, uel ellipſes deſcripta,
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            quemadmodum & </s>
            <s xml:space="preserve">in ipſa baſi. </s>
            <s xml:space="preserve">Sed cum circuli inter ſe eã
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            proportionem habeant, quam diametrorum quadrata:
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              <anchor type="note" xlink:label="note-0178-02a" xlink:href="note-0178-02"/>
            itemq; </s>
            <s xml:space="preserve">ellipſes eam quam rectangula ex ipſarum diametris
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            conſtantia: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit circulus, uel ellipſis circa diametrum e f
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              <anchor type="note" xlink:label="note-0178-03a" xlink:href="note-0178-03"/>
            proportionalis inter circulos, uel ellipſes a b, c d; </s>
            <s xml:space="preserve">erit re-
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            ctangulum e f etiam inter rectangula a b, c d proportio-
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            nale: </s>
            <s xml:space="preserve">per rectangulum enim nunc breuitatis cauſa etiã ip-
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            ſum quadratum intelligemus. </s>
            <s xml:space="preserve">quare ex iis, quæ proxime
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            dicta ſunt, pyramis baſim habens æqualem dictis rectangu
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            lis, & </s>
            <s xml:space="preserve">altitudinem eandem, quam fruſtum a d, ipſi fruſto à
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            pyramide abſciſſo æqualis probabitur. </s>
            <s xml:space="preserve">ut autem rectangu
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            lum c d ad rectangulũ e f, ita circulus, uel ellipſis c d a d e f
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            circulum, uel ellipſim: </s>
            <s xml:space="preserve">componendoq; </s>
            <s xml:space="preserve">ut rectangula c d,
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            e f, ad e f rectangulum, ita circuli, uel ellipſes e d, e f, ad e f:
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            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ut rectangulum e f ad rectangulum a b, ita cir culus, uel
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            cllipſis e f ad a b circulum, uel ellipſim. </s>
            <s xml:space="preserve">ergo ex æquali, & </s>
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            componendo, utrectãgula c d, e f, a b ad ipſum a b, ita cir-</s>
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