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="169" file="0181" n="181"/>
              <figure xlink:label="fig-0181-01" xlink:href="fig-0181-01a" number="74">
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            cum quadrato F E, ad quadratum F E. </s>
            <s xml:id="echoid-s3109" xml:space="preserve">Sed cum
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            G E, ſit dimidia B D, eius quadratum erit quarta
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            pars quadrati B D; </s>
            <s xml:id="echoid-s3110" xml:space="preserve">& </s>
            <s xml:id="echoid-s3111" xml:space="preserve">duo quadrata G E, erunt di-
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            midium quadrati B D. </s>
            <s xml:id="echoid-s3112" xml:space="preserve">Ergo A O, ad O D, & </s>
            <s xml:id="echoid-s3113" xml:space="preserve">C K,
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            ad K E, in portione parabolæ, erunt vt quadratum.
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            </s>
            <s xml:id="echoid-s3114" xml:space="preserve">F E, cum dimidio quadrati B D, ad quadratum
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            F E; </s>
            <s xml:id="echoid-s3115" xml:space="preserve">nempe vt dimidium rectanguli H D A, cum
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            rectangulo H E A, ad rectangulum H E A. </s>
            <s xml:id="echoid-s3116" xml:space="preserve">Sed vt
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            illa plana ad inuicem in portione ſphæræ, ſic in por-
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            tione parabolæ quadraticæ dimidium rectanguli
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            A E C, cum rectangulo A G C, ad rectangulum. </s>
            <s xml:id="echoid-s3117" xml:space="preserve">
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            A G C. </s>
            <s xml:id="echoid-s3118" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s3119" xml:space="preserve">vt C K, ad k E, ſic dimidium re-
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            ctanguli A E C, cum rectangulo A G C, ad </s>
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