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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[131.] SCHOLIVM.
Page: 226 (214)
[132.] FINIS.
Page: 227 (215)
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            quatuor ſolidorum in ſecunda figura, duo extrema
              <lb/>
            deſinant in circumferentijs, quarum diametri C H,
              <lb/>
            T D, media verò in punctis Y, Z; </s>
            <s xml:id="echoid-s2155" xml:space="preserve">ſequeretur in-
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            quam, circun ferentiam B H, æqualem eſſe cir-
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            cumferentijs C H, T D, & </s>
            <s xml:id="echoid-s2156" xml:space="preserve">punctis Y, Z. </s>
            <s xml:id="echoid-s2157" xml:space="preserve">Quod
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            eſt abſurdiſſimum. </s>
            <s xml:id="echoid-s2158" xml:space="preserve">Nam cum circumferentiæ ſint vt
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            diametri, & </s>
            <s xml:id="echoid-s2159" xml:space="preserve">cum B H, C H, & </s>
            <s xml:id="echoid-s2160" xml:space="preserve">T D, ſint ęqua-
              <lb/>
            les; </s>
            <s xml:id="echoid-s2161" xml:space="preserve">ſequitur etiam circumferentias circulorum, quo-
              <lb/>
            rum diametri C H, T D, duplas eſſe circumfe-
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            rentiæ, cuius diameter B H. </s>
            <s xml:id="echoid-s2162" xml:space="preserve">Erroneus ergo eſt di-
              <lb/>
            ſcurſus, ex quo hauritur circumferentiam B H,
              <lb/>
            ęquari circumferentijs C H, T D, & </s>
            <s xml:id="echoid-s2163" xml:space="preserve">punctis
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            Y, Z; </s>
            <s xml:id="echoid-s2164" xml:space="preserve">& </s>
            <s xml:id="echoid-s2165" xml:space="preserve">conſequenter erroneus eſt Galilei diſ-
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            curſus.</s>
            <s xml:id="echoid-s2166" xml:space="preserve"/>
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        <div xml:id="echoid-div105" type="section" level="1" n="67">
          <head xml:id="echoid-head78" xml:space="preserve">PROPOSITIO XXXI.</head>
          <head xml:id="echoid-head79" style="it" xml:space="preserve">Semifuſi parabolici cuiuſcunque, centrum grauitatis
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          reperire.</head>
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            <s xml:id="echoid-s2167" xml:space="preserve">ESto A B D, ſemiparabola quæcunque in prima
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            figura, cuius diameter A D, baſis B D, quæ
              <lb/>
            reuoluta circa baſim B D, generet ſemifuſum para-
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            bolicum; </s>
            <s xml:id="echoid-s2168" xml:space="preserve">huius oportet centrum grauitatis aſſigna-
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            re. </s>
            <s xml:id="echoid-s2169" xml:space="preserve">Semiparabola A B D, intelligatur duplicata
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            ad partes baſis B D, & </s>
            <s xml:id="echoid-s2170" xml:space="preserve">figura A B C, ex duabus
              <lb/>
            ſemiparabolis conſtans intelligatur rotari circa F C,
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            B D, parallelam. </s>
            <s xml:id="echoid-s2171" xml:space="preserve">Item in ſecunda figura intelligan-
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            tur quatuor ſolida ſic diſpoſita, vt duo extrema A </s>
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