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-head91" xml:space="preserve">PROPOSITIO XXXVII.</head>
          <p style="it">
            <s xml:id="echoid-s2549" xml:space="preserve">Variorum ſegmentorum infinitorum fuſorum par abolicorum,
              <lb/>
            poſſumus centra grauitatis aſſignare.</s>
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          </p>
          <p>
            <s xml:id="echoid-s2551" xml:space="preserve">ESto parabola quæcunque R B A, quam intelli-
              <lb/>
            gamus rotari circa R A, adeo vt generetur
              <lb/>
            quilibet fuſus parabolicus. </s>
            <s xml:id="echoid-s2552" xml:space="preserve">Dico variorum ſegmen-
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            torum huius fuſi nos poſſe centra granitatis aſſi-
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            gnare.</s>
            <s xml:id="echoid-s2553" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2554" xml:space="preserve">In primis parabola ſecetur linea I T, diametro
              <lb/>
            E B, parallela, poſſumus aſſignare centrum graui-
              <lb/>
            tatis partis fuſi ortæ ex reuolutione ſegmenti ad dia-
              <lb/>
            metrum I T B E, circa I E. </s>
            <s xml:id="echoid-s2555" xml:space="preserve">Nam in primis ex pro-
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            poſit. </s>
            <s xml:id="echoid-s2556" xml:space="preserve">16. </s>
            <s xml:id="echoid-s2557" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2558" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2559" xml:space="preserve">habemus centrum æquilibrij in I E,
              <lb/>
            baſi ſegmenti I T B E, nempe centrum grauitatis
              <lb/>
            duplicatæ figuræ I T B E, ad partes I E. </s>
            <s xml:id="echoid-s2560" xml:space="preserve">Secundo,
              <lb/>
            ex propoſit. </s>
            <s xml:id="echoid-s2561" xml:space="preserve">18. </s>
            <s xml:id="echoid-s2562" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2563" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2564" xml:space="preserve">habemus centrum grauita.
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            </s>
            <s xml:id="echoid-s2565" xml:space="preserve">tis portionis annuli orti ex reuolutione ſegmenti
              <lb/>
            I T B E, circa B V. </s>
            <s xml:id="echoid-s2566" xml:space="preserve">Tertio ex ſchol. </s>
            <s xml:id="echoid-s2567" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2568" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s2569" xml:space="preserve">
              <lb/>
            15. </s>
            <s xml:id="echoid-s2570" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2571" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2572" xml:space="preserve">habemus centrum ſegmenti I T B E, in
              <lb/>
            E B, nempe habemus rationem, quam habet ſoli-
              <lb/>
            dum ex I T B E, ſegmento reuoluto circa V B, ad
              <lb/>
            ſolidum ex eodem ſegmento reuoluto circa I E. </s>
            <s xml:id="echoid-s2573" xml:space="preserve">Ex
              <lb/>
            iftis tribus centris datis, ad modum ſuperiorum de-
              <lb/>
            ducemus quartum, nempe centrum grauitatis ſeg-
              <lb/>
            menti fuſi ex I T B E, ſegmento reuoluto circa I E.</s>
            <s xml:id="echoid-s2574" xml:space="preserve"/>
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