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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          <head xml:id="echoid-head73" xml:space="preserve">PROPOSITIO XXIX.</head>
          <p style="it">
            <s xml:id="echoid-s1689" xml:space="preserve">Si ſuper eadem baſi & </s>
            <s xml:id="echoid-s1690" xml:space="preserve">circa eandem diametrum ſint quælibet
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            figura & </s>
            <s xml:id="echoid-s1691" xml:space="preserve">parallelogrammum ipſam circumſcribens. </s>
            <s xml:id="echoid-s1692" xml:space="preserve">Cy-
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            lindrus ex parallelogrammo ad ſolidum ex figura, reuolutis
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            ambobus circa parallelam diametro ductam velper extre-
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            mitatem baſis, vel extra baſim, erit vt parallelogram-
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            mum ad figur am.</s>
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            <image file="0107-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0107-01"/>
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            <s xml:id="echoid-s1694" xml:space="preserve">SVper eadem baſi A C, & </s>
            <s xml:id="echoid-s1695" xml:space="preserve">circa eandem dia-
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            metrum B D, ſint quælibet figura A B C, & </s>
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            parallelogrammum E C, ipſam circumſcribens
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            & </s>
            <s xml:id="echoid-s1697" xml:space="preserve">intelligamus ambas figuras prius rotari circa F C.
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            </s>
            <s xml:id="echoid-s1698" xml:space="preserve">Dico cylindrum E G, eſſe ad ſolidum ex figura,
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            A B C, circa eandem F C, quod ſit A B C H G, vt
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            E C, ad A B C. </s>
            <s xml:id="echoid-s1699" xml:space="preserve">Accipiatur in B D, arbitrariè
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            punctum 1, per quod intelligantur tranſire in
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            figuris linea k N, A C, parallela, in ſolidis </s>
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