Angeli, Stefano degli, Miscellaneum hyperbolicum et parabolicum : in quo praecipue agitur de centris grauitatis hyperbolae, partium eiusdem, atque nonnullorum solidorum, de quibus nunquam geometria locuta est, parabola nouiter quadratur dupliciter, ducuntur infinitarum parabolarum tangentes, assignantur maxima inscriptibilia, minimaque circumscriptibilia infinitis parabolis, conoidibus ac semifusis parabolicis aliaque geometrica noua exponuntur scitu digna

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              <pb o="44" file="0056" n="56"/>
              <figure xlink:label="fig-0056-01" xlink:href="fig-0056-01a" number="24">
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            bimus rectangulum G D, B k. </s>
            <s xml:id="echoid-s836" xml:space="preserve">Pariter ſi ſimul iun-
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            xerimus rectangulum ſub dimidia G B, & </s>
            <s xml:id="echoid-s837" xml:space="preserve">ſub D K,
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            cum tertia parte quadrati D K, nempe cum rectan-
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            gulo ſub D K, & </s>
            <s xml:id="echoid-s838" xml:space="preserve">ſub tertia parte D k, habebimus
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            rectangulum ſub compoſita ex dimidia G B, & </s>
            <s xml:id="echoid-s839" xml:space="preserve">ex
              <lb/>
            tertia parte D k, & </s>
            <s xml:id="echoid-s840" xml:space="preserve">ſub D K. </s>
            <s xml:id="echoid-s841" xml:space="preserve">Ergo à primo ad vlti-
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            mum concludemus, eſſe L C, ad fruſtum conoidis
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            hyperbolici A H I C, vt rectangulum G D B, ad re-
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            ctangulum G D, B K, cum rectangulo ſub compo-
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            ſita ex dimidia G B, & </s>
            <s xml:id="echoid-s842" xml:space="preserve">ex tertia parte D k, & </s>
            <s xml:id="echoid-s843" xml:space="preserve">ſub
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            D K. </s>
            <s xml:id="echoid-s844" xml:space="preserve">Quod erat oſtendendum.</s>
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