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="51" file="0063" n="63"/>
              <figure xlink:label="fig-0063-01" xlink:href="fig-0063-01a" number="26">
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            E D, ſeù vt dupla D B, cum B K, ad duplam B K,
              <lb/>
            cum B D. </s>
            <s xml:id="echoid-s957" xml:space="preserve">Ergo ex ſchol. </s>
            <s xml:id="echoid-s958" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s959" xml:space="preserve">15. </s>
            <s xml:id="echoid-s960" xml:space="preserve">lib 4. </s>
            <s xml:id="echoid-s961" xml:space="preserve">erit
              <lb/>
            X, centrum grauitatis fruſti conoidis parabolici
              <lb/>
            E N O F. </s>
            <s xml:id="echoid-s962" xml:space="preserve">B D, & </s>
            <s xml:id="echoid-s963" xml:space="preserve">B K, ſic ſecentur in Y, +, vt
              <lb/>
            B Y, ſit tripla ipſius Y K, & </s>
            <s xml:id="echoid-s964" xml:space="preserve">pariter B +, tripla ſit
              <lb/>
            ipſius + D: </s>
            <s xml:id="echoid-s965" xml:space="preserve">& </s>
            <s xml:id="echoid-s966" xml:space="preserve">fiat vt exceſſus cubi D B, ſupra cu-
              <lb/>
            bum B K, ad cubum B K, ſic Y +, ad + ℟. </s>
            <s xml:id="echoid-s967" xml:space="preserve">Ergo
              <lb/>
            exſchol. </s>
            <s xml:id="echoid-s968" xml:space="preserve">propoſit, 18. </s>
            <s xml:id="echoid-s969" xml:space="preserve">eiuſdem libri erit ℟, centrum
              <lb/>
            grauitatis differentiæ fruſtorum conorum; </s>
            <s xml:id="echoid-s970" xml:space="preserve">& </s>
            <s xml:id="echoid-s971" xml:space="preserve">conſe-
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            quenter exſchol. </s>
            <s xml:id="echoid-s972" xml:space="preserve">2. </s>
            <s xml:id="echoid-s973" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s974" xml:space="preserve">4. </s>
            <s xml:id="echoid-s975" xml:space="preserve">huius, erit centrum
              <lb/>
            grauitatis differentiæ fruſtorum conoideorum. </s>
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