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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              <pb o="127" file="0139" n="139"/>
              <figure xlink:label="fig-0139-01" xlink:href="fig-0139-01a" number="59">
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            ſequenter centrum grauitatis in B D, ipſius A B C.
              <lb/>
            </s>
            <s xml:id="echoid-s2288" xml:space="preserve">Pariter, cum ex ſchol. </s>
            <s xml:id="echoid-s2289" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2290" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s2291" xml:space="preserve">26. </s>
            <s xml:id="echoid-s2292" xml:space="preserve">habeamus centrum
              <lb/>
            grauitatis, ſine ſuppoſitione quadraturæ hyperbolæ,
              <lb/>
            annuli lati ex ſemihy perbola D B C, in hac figu-
              <lb/>
            ra reuoluta circa ſecundam diametrum T S; </s>
            <s xml:id="echoid-s2293" xml:space="preserve">habe-
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            bimus conſequenter ad ſupra dicta, in ſecunda figu-
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            ra, in V X, centrum grauitatis duorum ſolidorum
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            extremorum, nempe duorum annulorum latorum
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            A H, T B. </s>
            <s xml:id="echoid-s2294" xml:space="preserve">Inſuper ex ſchol. </s>
            <s xml:id="echoid-s2295" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2296" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s2297" xml:space="preserve">32. </s>
            <s xml:id="echoid-s2298" xml:space="preserve">ſuppoſita hy-
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            perbolæ quadratura, habemus in hac figura ra-
              <lb/>
            tionem, quam habet annulus latus D B C Z H ℟,
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            ad ſemifuſum A B C; </s>
            <s xml:id="echoid-s2299" xml:space="preserve">& </s>
            <s xml:id="echoid-s2300" xml:space="preserve">conſequenter in ſecunda
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            figura, habemus rationem duorum ſolidorum extre-
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            morum ſimul ad duo ſolida media. </s>
            <s xml:id="echoid-s2301" xml:space="preserve">Ergo conſequen-
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            ter habebimus in V X, ſecundæ figuræ centrum gra-
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            uitatis duorum ſolidorum mediorum ſimul. </s>
            <s xml:id="echoid-s2302" xml:space="preserve">Et pari-
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            ter in hac figura, habebimus centrum in B D, ſe-
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            mifuſi A B C. </s>
            <s xml:id="echoid-s2303" xml:space="preserve">Quod &</s>
            <s xml:id="echoid-s2304" xml:space="preserve">c.</s>
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