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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            <s xml:id="echoid-s2964" xml:space="preserve">
              <pb o="161" file="0173" n="173"/>
              <figure xlink:label="fig-0173-01" xlink:href="fig-0173-01a" number="71">
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            dem proportionibus; </s>
            <s xml:id="echoid-s2965" xml:space="preserve">& </s>
            <s xml:id="echoid-s2966" xml:space="preserve">rectangulis in circulo A H B,
              <lb/>
            A T B, ſunt æqualia rectangula F H G, R T Y; </s>
            <s xml:id="echoid-s2967" xml:space="preserve">ergo
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            vt rectangulum D E B, ad rectanguium D V B, ſic
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            rectangulum F H G, ſeù Q S Z, ad rectangulum
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            R T Y. </s>
            <s xml:id="echoid-s2968" xml:space="preserve">Sed vt rectangulum Q S Z, ad rectangu-
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            lum R T Y, ſic armilla circularis Q S Z, ad armil-
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            lam circularem R T Y. </s>
            <s xml:id="echoid-s2969" xml:space="preserve">Ergo vt armilla ad armil-
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            lam, ſic rectangulum D E B, ad rectangulum D V B.
              <lb/>
            </s>
            <s xml:id="echoid-s2970" xml:space="preserve">Sed vt rectangulum D E B, in portione ad rect an-
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            gulum D V B, ſic rectangulum C D A, in parabo-
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            la ad rectangulum C F A; </s>
            <s xml:id="echoid-s2971" xml:space="preserve">& </s>
            <s xml:id="echoid-s2972" xml:space="preserve">vt rectangulum C D A,
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            ad rectangulum C F A, ſic D B, ſeù F H, ad F G,
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            ex ſchol. </s>
            <s xml:id="echoid-s2973" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s2974" xml:space="preserve">22. </s>
            <s xml:id="echoid-s2975" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2976" xml:space="preserve">prim. </s>
            <s xml:id="echoid-s2977" xml:space="preserve">Ergo vt armilla cir-
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            cularis Q S Z, ad armillam circularem R T Y, ſic
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            H F, ad F G. </s>
            <s xml:id="echoid-s2978" xml:space="preserve">Cum vero puncta V, F, ſumpta ſint
              <lb/>
            arbitrariè; </s>
            <s xml:id="echoid-s2979" xml:space="preserve">ergo concludemus omnes armillas circu-
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            lares tubi parallelas armillæ N L P, eſſe ad omnes
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            armillas circulares exceſſus portionis ſupra </s>
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