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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        <div xml:id="echoid-div83" type="section" level="1" n="56">
          <p>
            <s xml:id="echoid-s1556" xml:space="preserve">
              <pb o="87" file="0099" n="99"/>
            periendi centrum grauitatis ſegmenti annuli ex ſeg-
              <lb/>
            mento intermedio Q X H I. </s>
            <s xml:id="echoid-s1557" xml:space="preserve">Quod etiam inueniet
              <lb/>
            alio modo expreſſo in eodem ſchol o.</s>
            <s xml:id="echoid-s1558" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1559" xml:space="preserve">Ex ſchol. </s>
            <s xml:id="echoid-s1560" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1561" xml:space="preserve">19. </s>
            <s xml:id="echoid-s1562" xml:space="preserve">agnoſcet modum reperien-
              <lb/>
            di centrum grauitatis portionis annuli ex portione
              <lb/>
            maiori I H B C.</s>
            <s xml:id="echoid-s1563" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1564" xml:space="preserve">Tandem ex ſchol. </s>
            <s xml:id="echoid-s1565" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1566" xml:space="preserve">21. </s>
            <s xml:id="echoid-s1567" xml:space="preserve">agnoſcet modum
              <lb/>
            reperiendi centrum grauitatis ſegmenti intermedij
              <lb/>
            annuli ex ſegmento intermedio I H B Z Y, interci-
              <lb/>
            piente axim B N.</s>
            <s xml:id="echoid-s1568" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1569" xml:space="preserve">Hæ ergo ſunt notitiæ geometricæ, quæ deducun-
              <lb/>
            tur ex anteced. </s>
            <s xml:id="echoid-s1570" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1571" xml:space="preserve">Quibus addenda eſt. </s>
            <s xml:id="echoid-s1572" xml:space="preserve">Quod
              <lb/>
            cum notatum ſit in ſchol. </s>
            <s xml:id="echoid-s1573" xml:space="preserve">prim propoſit. </s>
            <s xml:id="echoid-s1574" xml:space="preserve">8. </s>
            <s xml:id="echoid-s1575" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s1576" xml:space="preserve">4. </s>
            <s xml:id="echoid-s1577" xml:space="preserve">Pa-
              <lb/>
            rabolam, ſphæram, ſphæroides, & </s>
            <s xml:id="echoid-s1578" xml:space="preserve">exceſſum cylin-
              <lb/>
            dri ſupra duos conos inuersè poſitos, quorum baſes
              <lb/>
            oppoſitæ baſes cylindri, vertex verò medium pun-
              <lb/>
            ctum axis, eſſe magnitudines proportionaliter ana-
              <lb/>
            logas tam in magnitudine, quam in grauitate; </s>
            <s xml:id="echoid-s1579" xml:space="preserve">ſe qui
              <lb/>
            ex dictis, his aſſociari annulum prædictum ex hy-
              <lb/>
            perbola.</s>
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          </p>
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        <div xml:id="echoid-div84" type="section" level="1" n="57">
          <head xml:id="echoid-head68" xml:space="preserve">PROPOSITIO XXVII.</head>
          <p style="it">
            <s xml:id="echoid-s1581" xml:space="preserve">In ſchematæ propoſit. </s>
            <s xml:id="echoid-s1582" xml:space="preserve">quintæ, exceſſus cylindri circumſcri-
              <lb/>
            pti conoidi hyperbolico ſupra cylindrum circumſcriptum
              <lb/>
            conoidi parabolico, erit triplus exceſſus conoidis hyperbo-
              <lb/>
            lici ſupra conoides parabolicum.</s>
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