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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            <s xml:id="echoid-s1518" xml:space="preserve">
              <pb o="86" file="0098" n="98"/>
            lelogrammo H Q, circumſcripto ſegmento inter-
              <lb/>
            medio Q X H I, ad ſegmentum annuli ex tali ſeg-
              <lb/>
            mento intermedio.</s>
            <s xml:id="echoid-s1519" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1520" xml:space="preserve">Tandem ex ſchol. </s>
            <s xml:id="echoid-s1521" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1522" xml:space="preserve">20. </s>
            <s xml:id="echoid-s1523" xml:space="preserve">agnoſcet rationem
              <lb/>
            ſegmenti annuli ex ſegmento I H B N, ad portio-
              <lb/>
            nem annuli ex portione I A H. </s>
            <s xml:id="echoid-s1524" xml:space="preserve">Qua agnita, non
              <lb/>
            ignorabit rationem portionis annuli ex portione
              <lb/>
            I H B C, ad prædictam portionem annuli ex por-
              <lb/>
            tione A H I.</s>
            <s xml:id="echoid-s1525" xml:space="preserve"/>
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        <div xml:id="echoid-div83" type="section" level="1" n="56">
          <head xml:id="echoid-head67" xml:space="preserve">SCHOLIVM III.</head>
          <p>
            <s xml:id="echoid-s1526" xml:space="preserve">Pariter, cum vt diximus, prædictus annulus latus
              <lb/>
            ex hyperbola ſit quantitas proportionaliter analoga
              <lb/>
            etiam in grauitate cum parabola quadratica; </s>
            <s xml:id="echoid-s1527" xml:space="preserve">ex lib.
              <lb/>
            </s>
            <s xml:id="echoid-s1528" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1529" xml:space="preserve">de In fin. </s>
            <s xml:id="echoid-s1530" xml:space="preserve">Parab agnoſcet lector centrum grauita-
              <lb/>
            tis quamplurium ſegmentorum prædicti annuli lati.</s>
            <s xml:id="echoid-s1531" xml:space="preserve"/>
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            <s xml:id="echoid-s1532" xml:space="preserve">Ex ſchol. </s>
            <s xml:id="echoid-s1533" xml:space="preserve">ergo 2. </s>
            <s xml:id="echoid-s1534" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1535" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1536" xml:space="preserve">agnoſcet centrum
              <lb/>
            grauitatis annuli ex ſemihy perbola A B N, ſic ſe-
              <lb/>
            care k L, vt pars terminata ad k, ſit ad partem ter-
              <lb/>
            minatam ad L, vt 5. </s>
            <s xml:id="echoid-s1537" xml:space="preserve">ad 3.</s>
            <s xml:id="echoid-s1538" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1539" xml:space="preserve">Ex ſchol. </s>
            <s xml:id="echoid-s1540" xml:space="preserve">pri. </s>
            <s xml:id="echoid-s1541" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1542" xml:space="preserve">14. </s>
            <s xml:id="echoid-s1543" xml:space="preserve">agnoſcet centrum gra-
              <lb/>
            uitatis in K L, portionis annuli ex portione mino-
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            ri A H I.</s>
            <s xml:id="echoid-s1544" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s1545" xml:space="preserve">Ex ſchol. </s>
            <s xml:id="echoid-s1546" xml:space="preserve">prim. </s>
            <s xml:id="echoid-s1547" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1548" xml:space="preserve">16. </s>
            <s xml:id="echoid-s1549" xml:space="preserve">agnoſcet centrum
              <lb/>
            grauitatis ſegmenti annuli ex ſegmento I H B N.
              <lb/>
            </s>
            <s xml:id="echoid-s1550" xml:space="preserve">Hoc autem centrum etiam alio modo agnoſcet ex di-
              <lb/>
            ctis in calce eiuſdem ſcholij.</s>
            <s xml:id="echoid-s1551" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1552" xml:space="preserve">Ex ſchol. </s>
            <s xml:id="echoid-s1553" xml:space="preserve">prim. </s>
            <s xml:id="echoid-s1554" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1555" xml:space="preserve">17. </s>
            <s xml:id="echoid-s1556" xml:space="preserve">agnoſcet modum </s>
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