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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            axim cum portionè, cuíus baſis ſit armilla exceſſus cìrcu-
              <lb/>
            li facti in portione, ſupra circulum factum in cono à pla-
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            no ſecante. </s>
            <s xml:id="echoid-s2953" xml:space="preserve">Hic erit ad exceſſum portionis ſupra conum
              <lb/>
            tam ſecundum totum, quam ſecundum partes propor-
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            tionales, vt parallelogrammum circum ſcriptum parabolæ
              <lb/>
            quadraticæ ad ipſam; </s>
            <s xml:id="echoid-s2954" xml:space="preserve">dummodo hæc ſecetur ſecundum
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            diametro parallelas.</s>
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          <p>
            <s xml:id="echoid-s2956" xml:space="preserve">SIt A B C, quælibet portio ſphæræ, in qua in-
              <lb/>
            telligatur inſcriptus conus A B C, ſectoque axi
              <lb/>
            B D, bifariam in E, ducatur per E, planum F E G,
              <lb/>
            plano A D C, parallelum, faciens in cono circulum
              <lb/>
            H E I; </s>
            <s xml:id="echoid-s2957" xml:space="preserve">intelligamus tubum cylindricum k L M P,
              <lb/>
            circa eundem axim B D, cuius baſis armilla N L P,
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            æqualis armillæ F H G: </s>
            <s xml:id="echoid-s2958" xml:space="preserve">pariter in ſecunda figura
              <lb/>
            intelligamus parabolam quadraticam A B C, cuius
              <lb/>
            axis B D, baſis vero A C, ſit æqualis axi B D, por-
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            tionis, & </s>
            <s xml:id="echoid-s2959" xml:space="preserve">ei ſit circumſcriptum parallelogrammum.
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            </s>
            <s xml:id="echoid-s2960" xml:space="preserve">Dicotubum cylindricum k L M C, eſſe ad exceſſum
              <lb/>
            portionis A B C, ſupra conum A B C, vt paralle-
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            logrammum E C, ad parabolam A B C. </s>
            <s xml:id="echoid-s2961" xml:space="preserve">Sumatur
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            in B D, axi portionis arbitrariè punctum V, per
              <lb/>
            quod tiaiciatur planum Q Z, plano A C, paral-
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            lelum ſecans omnia ſolida vt in ſchemate; </s>
            <s xml:id="echoid-s2962" xml:space="preserve">& </s>
            <s xml:id="echoid-s2963" xml:space="preserve">pariter
              <lb/>
            in parabola facta A F, æquali B V, per F, ducatur
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            F G H, parallela D B. </s>
            <s xml:id="echoid-s2964" xml:space="preserve">Quoniam enim rectangu-
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            lum D E B, eſt ad rectangulum D V B, vt rectan-
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            gulum A H B, ad rectangulum A I B, quia propor-
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            tiones horum rectangulorum componuntur ex </s>
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