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-div93" type="section" level="1" n="63">
          <p>
            <s xml:id="echoid-s1976" xml:space="preserve">
              <pb o="110" file="0122" n="122"/>
            tuor illis modis; </s>
            <s xml:id="echoid-s1977" xml:space="preserve">& </s>
            <s xml:id="echoid-s1978" xml:space="preserve">conſequenter centra grauitatis il-
              <lb/>
            lorum annulorum.</s>
            <s xml:id="echoid-s1979" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1980" xml:space="preserve">Sed ſi in eodem ſchemate, portionem LMIBD,
              <lb/>
            parabolæ cuiuſcunque reſectæ duabus lineis L M,
              <lb/>
            B D, diametro I K, inter ipſas interceptæ, paral-
              <lb/>
            lelis, intelligamus diſponi quatuor prædictis modis,
              <lb/>
            & </s>
            <s xml:id="echoid-s1981" xml:space="preserve">intelligamus conſueto modo, generari quatuor
              <lb/>
            ſpecies annulorum, vtſæpe dictum eſt: </s>
            <s xml:id="echoid-s1982" xml:space="preserve">illorum om-
              <lb/>
            nium ſciemus centra grauitatis; </s>
            <s xml:id="echoid-s1983" xml:space="preserve">hæcque nos docent
              <lb/>
            propoſit. </s>
            <s xml:id="echoid-s1984" xml:space="preserve">21. </s>
            <s xml:id="echoid-s1985" xml:space="preserve">& </s>
            <s xml:id="echoid-s1986" xml:space="preserve">22. </s>
            <s xml:id="echoid-s1987" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s1988" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1989" xml:space="preserve">in quibus aſſignantur cen-
              <lb/>
            tra æquilibrij illorum ſegmentorum tam in baſi,
              <lb/>
            quam in lineis diametro parallelis.</s>
            <s xml:id="echoid-s1990" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1991" xml:space="preserve">Sed ſi in ſequenti ſchemate ſupponamus A B E F,
              <lb/>
            eſſe ſegmentum ſemiparabolæ cuiuſcunque reſectæ
              <lb/>
            linea B E, baſi A F, parallela, intelligamuſque
              <lb/>
            hoc aptari quatuor conſuetis modis, & </s>
            <s xml:id="echoid-s1992" xml:space="preserve">vt in ſche-
              <lb/>
            mate. </s>
            <s xml:id="echoid-s1993" xml:space="preserve">Habebimus centra grauitatis ſolidorum ge-
              <lb/>
            nitorum modis ſupra explicatis. </s>
            <s xml:id="echoid-s1994" xml:space="preserve">Videat lector pro-
              <lb/>
            poſit. </s>
            <s xml:id="echoid-s1995" xml:space="preserve">10. </s>
            <s xml:id="echoid-s1996" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s1997" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1998" xml:space="preserve">in qua aſſignatur in E F, centrum
              <lb/>
            grauitatis ſegmenti A B C D; </s>
            <s xml:id="echoid-s1999" xml:space="preserve">& </s>
            <s xml:id="echoid-s2000" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s2001" xml:space="preserve">11. </s>
            <s xml:id="echoid-s2002" xml:space="preserve">in
              <lb/>
            qua aſſignatur centrum æquilibrij ſegmenti ABEF,
              <lb/>
            in baſi A F.</s>
            <s xml:id="echoid-s2003" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2004" xml:space="preserve">Sed ſupponamus F A B E, eſſe vtique ſegmen-
              <lb/>
            tum ſemiparabolæ cuiuſcunque, ſed ſic diſpoſitæ vt
              <lb/>
            A F, ſit diameter, & </s>
            <s xml:id="echoid-s2005" xml:space="preserve">B E, parallela diametro,
              <lb/>
            adeovt F A B E, ſit ſegmentum ad diametrum, quod
              <lb/>
            intelligatur duplicatum quatuor modis vt in ſchema-
              <lb/>
            te. </s>
            <s xml:id="echoid-s2006" xml:space="preserve">Solidorum genitorum conſueto modo ex figuris
              <lb/>
            ſic diſpoſitis habebimus centra grauitatis. </s>
            <s xml:id="echoid-s2007" xml:space="preserve">Quia </s>
          </p>
        </div>
      </text>
    </echo>
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