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-s2022" xml:space="preserve">
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            ſimile toti trilineo totius ſemiparabolæ, in quo pari-
              <lb/>
            ter centrum æquilibrij ſic diuidit A G; </s>
            <s xml:id="echoid-s2023" xml:space="preserve">& </s>
            <s xml:id="echoid-s2024" xml:space="preserve">conſe-
              <lb/>
            quenter centrum grauitatis duorum trilineorum
              <lb/>
            A G B, C D H, ſimul ſic diuidit F E, vt pars ter-
              <lb/>
            minata ad F, ſit ad partem terminatam ad E, vt
              <lb/>
            numerus trilinei vnitate auctus, ad vnitatem. </s>
            <s xml:id="echoid-s2025" xml:space="preserve">Idem
              <lb/>
            propter eandem rationem, intelligendum eſt de tri-
              <lb/>
            lineo C D N, reuoluto vel circa ductam per N,
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            ſeù C, ipſi E F, parallelam, vel circa alias paral-
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            Ielas E F, extra trilineum ductas.</s>
            <s xml:id="echoid-s2026" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2027" xml:space="preserve">Sed tandem ſupponamus A B E F, eſſe ſegmen-
              <lb/>
            tum intermedium ſemiparabolæ cuiuſcunque reſe-
              <lb/>
            ctæ duabus lineis B E, A F, diametro parallelis,
              <lb/>
            quod ſegmentum intelligatur diſpoſitum quatuor
              <lb/>
            modis. </s>
            <s xml:id="echoid-s2028" xml:space="preserve">Omnium ſolidorum genitorum conſueto
              <lb/>
            modo nobis innoteſcent centra grauitatis ex propo-
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            ſit. </s>
            <s xml:id="echoid-s2029" xml:space="preserve">17. </s>
            <s xml:id="echoid-s2030" xml:space="preserve">& </s>
            <s xml:id="echoid-s2031" xml:space="preserve">18. </s>
            <s xml:id="echoid-s2032" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2033" xml:space="preserve">3.</s>
            <s xml:id="echoid-s2034" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2035" xml:space="preserve">Quot igitur ſolidorum habeantur ex antedicta
              <lb/>
            propoſit. </s>
            <s xml:id="echoid-s2036" xml:space="preserve">centra grauitatis, de quibus neutiquam co-
              <lb/>
            gnitio tenebatur, potuit lector animaduertere. </s>
            <s xml:id="echoid-s2037" xml:space="preserve">Sed
              <lb/>
            non minorem vtilitatem capiemus ex ſequenti pro-
              <lb/>
            poſitione, quæ, modo ad noſtrum inſtitutum apto,
              <lb/>
            explicata, ducet nos in cognitionem centrorum gra-
              <lb/>
            uitatis quorundam ſolidorum, quæ vſque nunc geo-
              <lb/>
            metria ignorauit. </s>
            <s xml:id="echoid-s2038" xml:space="preserve">Præcipuè exipſa venabimur cen-
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            tra grauitatis omnium ſemifuſorum parabolicorum;
              <lb/>
            </s>
            <s xml:id="echoid-s2039" xml:space="preserve">nempe docebimus in quo puncto baſis ſit centrum
              <lb/>
            grauitatis ſolidi ex ſemipa@abola quacunque reuo-
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            luta circa baſim.</s>
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