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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              <pb o="40" file="0052" n="52"/>
              <figure xlink:label="fig-0052-01" xlink:href="fig-0052-01a" number="22">
                <image file="0052-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0052-01"/>
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            deorum; </s>
            <s xml:id="echoid-s764" xml:space="preserve">& </s>
            <s xml:id="echoid-s765" xml:space="preserve">ex propoſit. </s>
            <s xml:id="echoid-s766" xml:space="preserve">4, differentia fruſtorum co-
              <lb/>
            noideorum eſt æqualis differentiæ conorum; </s>
            <s xml:id="echoid-s767" xml:space="preserve">ergo
              <lb/>
            L C, erit ad fruſtum A H I C, vt eſt ad fruſtum
              <lb/>
            parabolicum, vna cum differentia fruſtorum cono-
              <lb/>
            rum. </s>
            <s xml:id="echoid-s768" xml:space="preserve">Hanc verò rationem ſic venabimur. </s>
            <s xml:id="echoid-s769" xml:space="preserve">Cylin-
              <lb/>
            drus L C, ad fruſtum parabolicum E N O F, ha-
              <lb/>
            bet rationem compoſitam ex ratione cylindri L C,
              <lb/>
            ad cylindrum T F, tali fruſto parabolico circum-
              <lb/>
            ſcriptum, & </s>
            <s xml:id="echoid-s770" xml:space="preserve">huius ad ipſum fruſtum: </s>
            <s xml:id="echoid-s771" xml:space="preserve">L C, ad T F,
              <lb/>
            eſt vt quadratum A D, ad quadratum E D; </s>
            <s xml:id="echoid-s772" xml:space="preserve">nem-
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            pe ex hypotheſi, vt D G, ad G B. </s>
            <s xml:id="echoid-s773" xml:space="preserve">Cum autem </s>
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