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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            go erit reciprocè vt L k, ad k G, ſic F B C, ad tri-
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            angulum F C E. </s>
            <s xml:id="echoid-s3146" xml:space="preserve">Et componendo, erit L G, ad
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            G k, vt portio E F B C, ad triangulum E F C. </s>
            <s xml:id="echoid-s3147" xml:space="preserve">Sed
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            cum exſchol. </s>
            <s xml:id="echoid-s3148" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s3149" xml:space="preserve">17. </s>
            <s xml:id="echoid-s3150" xml:space="preserve">lib prim. </s>
            <s xml:id="echoid-s3151" xml:space="preserve">ſit conuerten-
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            do, portio ad parallelogrammum duplum trianguli,
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            vt dimidia A E, vna cum ſexta parte C E, ad A E;
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            </s>
            <s xml:id="echoid-s3152" xml:space="preserve">& </s>
            <s xml:id="echoid-s3153" xml:space="preserve">ad ipſum triangulum, vt idem antecedens ad di-
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            midiam A E. </s>
            <s xml:id="echoid-s3154" xml:space="preserve">Ergo erit etiam, vt L G, ad G K,
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            fic dimidia A E, cum ſexta parte C E, ad dimidiam
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            A E. </s>
            <s xml:id="echoid-s3155" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s3156" xml:space="preserve">vt antecedentium tripla. </s>
            <s xml:id="echoid-s3157" xml:space="preserve">Ergo vt
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            E G, tripla L G, ad G k, lic ſeſquialtera A E,
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            cum dimidia C E, ad dimidiam A E. </s>
            <s xml:id="echoid-s3158" xml:space="preserve">Et per con-
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            uerſionem rationis, vt G E, ad E K, ſic </s>
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Impressum