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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            Non ergo KHC, eſt minimum, ſed I G C. </s>
            <s xml:id="echoid-s3661" xml:space="preserve">Quod
              <lb/>
            &</s>
            <s xml:id="echoid-s3662" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3663" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div188" type="section" level="1" n="123">
          <head xml:id="echoid-head135" xml:space="preserve">SCHOLIV M.</head>
          <p>
            <s xml:id="echoid-s3664" xml:space="preserve">Cum autem in propoſit. </s>
            <s xml:id="echoid-s3665" xml:space="preserve">54. </s>
            <s xml:id="echoid-s3666" xml:space="preserve">aſſignatus ſit modus
              <lb/>
            reperiendi triangulum maximum E F C, fuit conſe-
              <lb/>
            quenter expoſitus etiam modus reperiendi triangu-
              <lb/>
            lum minimum G I C.</s>
            <s xml:id="echoid-s3667" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3668" xml:space="preserve">Inſuper notetur, triangulum minimum circum-
              <lb/>
            ſcriptum parabolæ, æquale eſſe triangulo minimo
              <lb/>
            circumſcripto figuræ conſtante ex duabus ſemipara-
              <lb/>
            bolis ſupra expoſitis. </s>
            <s xml:id="echoid-s3669" xml:space="preserve">Triangulum enim GIC, du-
              <lb/>
            plicatum ad partes G C, eſt æquale eidem G I C,
              <lb/>
            duplicato ad partes IC.</s>
            <s xml:id="echoid-s3670" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div189" type="section" level="1" n="124">
          <head xml:id="echoid-head136" xml:space="preserve">PROPOSITIO LXIII.</head>
          <p style="it">
            <s xml:id="echoid-s3671" xml:space="preserve">Conus minimus circum ſcriptus cuilibet infinitorum conoìdeo-
              <lb/>
            rum vel ſemifuſorum par abolicorum, eſt ille, qui tangit
              <lb/>
            baſim maximi coni in illis ſolidis inſcripti.</s>
            <s xml:id="echoid-s3672" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3673" xml:space="preserve">SEd ſupponamus conum ex triangulo EFC, eſſe
              <lb/>
            maximum inſcriptibilium intra conoides ex ſe-
              <lb/>
            miparabola A B C, circa B C, & </s>
            <s xml:id="echoid-s3674" xml:space="preserve">conum ex triangulo
              <lb/>
            G C, tangere baſim coniinſcripti. </s>
            <s xml:id="echoid-s3675" xml:space="preserve">Dico conum ex
              <lb/>
            triangulo G I C, eſſe minimum circumſcriptibilium
              <lb/>
            conoidi. </s>
            <s xml:id="echoid-s3676" xml:space="preserve">Si non, ſit minimus ille, qui oritur ex trian-
              <lb/>
            gulo H k C, & </s>
            <s xml:id="echoid-s3677" xml:space="preserve">ducta L E M, parallela KH, </s>
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