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-s2331" xml:space="preserve">
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            pars terminata ad B, ſit ad partem terminatam ad
              <lb/>
            D, vt dimidium numeri conoidis vnitate aucti, ad
              <lb/>
            dimidium numeri conoidis; </s>
            <s xml:id="echoid-s2332" xml:space="preserve">& </s>
            <s xml:id="echoid-s2333" xml:space="preserve">cum ſic in ſecunda fi-
              <lb/>
            gura ſint diſpoſita ex induſtria duo conoidea me-
              <lb/>
            dia, vt centrum grauitatis amborum ſimul ſit in
              <lb/>
            V X; </s>
            <s xml:id="echoid-s2334" xml:space="preserve">ſi hæc ſic ſecetur in 2, vt ſit V 2, ad 2 X, vt
              <lb/>
            dimidium numeri conoidis aucti vnitate ad dimi-
              <lb/>
            dium numeri conoidis; </s>
            <s xml:id="echoid-s2335" xml:space="preserve">erit 2, centrum grauitatis
              <lb/>
            duorum conoideorum ſimul. </s>
            <s xml:id="echoid-s2336" xml:space="preserve">Cum ergo in V X, ſit
              <lb/>
            centrum grauitatis tam quatuor ſolidorum ſimul,
              <lb/>
            quam duorum conoideorum; </s>
            <s xml:id="echoid-s2337" xml:space="preserve">ergo & </s>
            <s xml:id="echoid-s2338" xml:space="preserve">in V X, erit
              <lb/>
            centrum grauitatis duorum annulorum extremo-
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            rum. </s>
            <s xml:id="echoid-s2339" xml:space="preserve">Si ergo fiat vt duos annulos ſimul, ad duo co-
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            noidea ſimul, vel vt vnus annulus ad vnum conoi-
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            des, nempe ex coroll. </s>
            <s xml:id="echoid-s2340" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2341" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2342" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2343" xml:space="preserve">vt numerus conoidis
              <lb/>
            ternario auctus ad numerum conoidis vnitate au-
              <lb/>
            ctum, ſic reciprocè 2 ℟, ad ℟ +. </s>
            <s xml:id="echoid-s2344" xml:space="preserve">Erit + centrum
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            grauitatis duorum annulorum ſimul. </s>
            <s xml:id="echoid-s2345" xml:space="preserve">Et ſi in prima fi-
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            gura ſecetur F C, in puncto in ratione F +, ad
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            + X. </s>
            <s xml:id="echoid-s2346" xml:space="preserve">Erit illud inuentum centrum grauitatis illius
              <lb/>
            annuli. </s>
            <s xml:id="echoid-s2347" xml:space="preserve">Res de ſe patet. </s>
            <s xml:id="echoid-s2348" xml:space="preserve">Quare &</s>
            <s xml:id="echoid-s2349" xml:space="preserve">c.</s>
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        <div xml:id="echoid-div114" type="section" level="1" n="72">
          <head xml:id="echoid-head84" xml:space="preserve">SCHOLIVM.</head>
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            <s xml:id="echoid-s2351" xml:space="preserve">Sed nec etiam inuentio huius centri continet ali-
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            quam pulchram ſeriem; </s>
            <s xml:id="echoid-s2352" xml:space="preserve">quilibet tamen aſſignabit in
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            numeris rationem ſecundum quam diuiditur F C,
              <lb/>
            à centro grauitatis prædicti annuli, ſi notabit ſequen-
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            tem ordinem quem tenemus in annulo </s>
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