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-s2585" xml:space="preserve">
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            dorum reuolutorum circa V G, & </s>
            <s xml:id="echoid-s2586" xml:space="preserve">I L. </s>
            <s xml:id="echoid-s2587" xml:space="preserve">Tertio ex
              <lb/>
            propoſit. </s>
            <s xml:id="echoid-s2588" xml:space="preserve">18. </s>
            <s xml:id="echoid-s2589" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2590" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2591" xml:space="preserve">habemus centrum grauitatis ſeg-
              <lb/>
            menti annuli ex ſegmento I T B P L, reuoluto cir-
              <lb/>
            ca V G. </s>
            <s xml:id="echoid-s2592" xml:space="preserve">Ergo quartum, nempe centrum ſegmen-
              <lb/>
            ti fuſi ex eodem ſegmento circa L I, non ignora-
              <lb/>
            bitur.</s>
            <s xml:id="echoid-s2593" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2594" xml:space="preserve">Sic cognoſcemus centrum grauitatis portionis
              <lb/>
            fuſi ex portione maiori I T B A. </s>
            <s xml:id="echoid-s2595" xml:space="preserve">Nam centrum
              <lb/>
            grauitatis duplicatæ portionis habetur ex propoſit.
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            </s>
            <s xml:id="echoid-s2596" xml:space="preserve">19. </s>
            <s xml:id="echoid-s2597" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2598" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2599" xml:space="preserve">Ex propoſit. </s>
            <s xml:id="echoid-s2600" xml:space="preserve">20. </s>
            <s xml:id="echoid-s2601" xml:space="preserve">eiuſdem libri, habemus
              <lb/>
            rationem ſolidorum ex portione reuoluta circa V B,
              <lb/>
            & </s>
            <s xml:id="echoid-s2602" xml:space="preserve">circa I A. </s>
            <s xml:id="echoid-s2603" xml:space="preserve">Tertio ex citata propoſit. </s>
            <s xml:id="echoid-s2604" xml:space="preserve">18. </s>
            <s xml:id="echoid-s2605" xml:space="preserve">lib 4. </s>
            <s xml:id="echoid-s2606" xml:space="preserve">
              <lb/>
            habemus centrum portionis annuli ex portione
              <lb/>
            I T B A, reuoluta circa V B. </s>
            <s xml:id="echoid-s2607" xml:space="preserve">Quare &</s>
            <s xml:id="echoid-s2608" xml:space="preserve">c.</s>
            <s xml:id="echoid-s2609" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2610" xml:space="preserve">Pariter cognoſcemus centrum grauitatis portio-
              <lb/>
            nis fuſi ex portione minori R T I, quia ex propoſit.
              <lb/>
            </s>
            <s xml:id="echoid-s2611" xml:space="preserve">14. </s>
            <s xml:id="echoid-s2612" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2613" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2614" xml:space="preserve">habemus centrum grauitatis in R I, du-
              <lb/>
            plicatæ portionis R T I. </s>
            <s xml:id="echoid-s2615" xml:space="preserve">Secundo habemus ratio-
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            nem, quam habet prædict portio fuſi, ad portio-
              <lb/>
            nem annuli ex portione I R T, reuoluta circa S V. </s>
            <s xml:id="echoid-s2616" xml:space="preserve">
              <lb/>
            Quia mente portioni intellecto circumſcripto paral-
              <lb/>
            lelogrammo, habemus ex ſchol 2 propoſit 15. </s>
            <s xml:id="echoid-s2617" xml:space="preserve">eiuſ-
              <lb/>
            dem libri, rationem portionis f ſi, ad cylindrum ſi-
              <lb/>
            bi circumſcriptum: </s>
            <s xml:id="echoid-s2618" xml:space="preserve">pariter habemus rationem præ-
              <lb/>
            dicti cylindri ad cylindrum R X, quia habemus, ex
              <lb/>
            data portione, rationem I T, ad I V; </s>
            <s xml:id="echoid-s2619" xml:space="preserve">& </s>
            <s xml:id="echoid-s2620" xml:space="preserve">conſe-
              <lb/>
            quenter quadrati I T, ad quadratum I V: </s>
            <s xml:id="echoid-s2621" xml:space="preserve">item
              <lb/>
            habemus exſchol. </s>
            <s xml:id="echoid-s2622" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2623" xml:space="preserve">propoſit 4. </s>
            <s xml:id="echoid-s2624" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2625" xml:space="preserve">4 rationem cy-
              <lb/>
            lindri R X, ad portionem annuli ex portione R T </s>
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