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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            tem A H; </s>
            <s xml:id="echoid-s3228" xml:space="preserve">ergo factum ſub D A, & </s>
            <s xml:id="echoid-s3229" xml:space="preserve">ſub prædicta
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            poteſtate A H, erit ęquale poteſtati B D, eiuſdem
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            gradus cumparabola. </s>
            <s xml:id="echoid-s3230" xml:space="preserve">Cum autem ſit ex geneſi pa-
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            rabolæ, vt poteſtas B D, eiuſdem gradus cum para-
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            bola ad ſimilem poteſtatem G L, ſic D A, ad A L.
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            <s xml:id="echoid-s3231" xml:space="preserve">Ft vt D A, ad A L, ſic factum ſub D A, & </s>
            <s xml:id="echoid-s3232" xml:space="preserve">ſub po-
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            teſtate A H, vno gradu depreſſiore poteſtate para-
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            bolæ, ad factum ſub L A, & </s>
            <s xml:id="echoid-s3233" xml:space="preserve">ſub prędicta poteſtate
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            A H. </s>
            <s xml:id="echoid-s3234" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s3235" xml:space="preserve">vt factum ſub D A, & </s>
            <s xml:id="echoid-s3236" xml:space="preserve">ſub tali pote-
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            ſtate A H, ad factum ſub L A, & </s>
            <s xml:id="echoid-s3237" xml:space="preserve">ſub poteſtate
              <lb/>
            A H, ſic poteſtas B D, eiuſdem gradus cum parabo-
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            la ad ſimilem poteſtatem G L. </s>
            <s xml:id="echoid-s3238" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s3239" xml:space="preserve">permutan-
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            do, vt factum ſub D A, & </s>
            <s xml:id="echoid-s3240" xml:space="preserve">ſub tali poteſtate A H,
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            ad poteſtatem B D, eiuſdem gradus cum parabola,
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            ſic factum ſub L A, & </s>
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