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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        <div xml:id="echoid-div123" type="section" level="1" n="79">
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            <s xml:id="echoid-s2635" xml:space="preserve">
              <pb o="143" file="0155" n="155"/>
            Nam centrum grauitatis in H L, duplicati ſegmen-
              <lb/>
            ti ad partes H L, habetur ex propoſit. </s>
            <s xml:id="echoid-s2636" xml:space="preserve">17. </s>
            <s xml:id="echoid-s2637" xml:space="preserve">libri 3.
              <lb/>
            </s>
            <s xml:id="echoid-s2638" xml:space="preserve">Item ex præcitata propoſit. </s>
            <s xml:id="echoid-s2639" xml:space="preserve">18. </s>
            <s xml:id="echoid-s2640" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2641" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2642" xml:space="preserve">habemus cen-
              <lb/>
            trum grauitatis ſegmenti annuli ex ſegmento
              <lb/>
            H N P L, circa B D. </s>
            <s xml:id="echoid-s2643" xml:space="preserve">Tertium nempe ratio ſeg-
              <lb/>
            menti fuſi ad ſegmentum annuli patebit haberi. </s>
            <s xml:id="echoid-s2644" xml:space="preserve">
              <lb/>
            Quia habemus ex ſchol. </s>
            <s xml:id="echoid-s2645" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s2646" xml:space="preserve">18. </s>
            <s xml:id="echoid-s2647" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2648" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2649" xml:space="preserve">rationem
              <lb/>
            ſegmenti fuſi ad cylindrum ex parallelogrammo
              <lb/>
            L N, ſibi circumſcripto; </s>
            <s xml:id="echoid-s2650" xml:space="preserve">ſed habemus rationem ta-
              <lb/>
            lis cylindri ad cylindrum H M, & </s>
            <s xml:id="echoid-s2651" xml:space="preserve">huius ex præcit. </s>
            <s xml:id="echoid-s2652" xml:space="preserve">
              <lb/>
            ſchol. </s>
            <s xml:id="echoid-s2653" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2654" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s2655" xml:space="preserve">4, lib. </s>
            <s xml:id="echoid-s2656" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2657" xml:space="preserve">ad ſegmentum annuli. </s>
            <s xml:id="echoid-s2658" xml:space="preserve">
              <lb/>
            Quare ex æquali, patet propoſitum. </s>
            <s xml:id="echoid-s2659" xml:space="preserve">Cognitis ve-
              <lb/>
            rò tribus præcedentibus, quartum centrum quæſi-
              <lb/>
            tum innoteſcet. </s>
            <s xml:id="echoid-s2660" xml:space="preserve">Patuit ergo propoſitum in omni-
              <lb/>
            bus prædictis partibus.</s>
            <s xml:id="echoid-s2661" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div125" type="section" level="1" n="80">
          <head xml:id="echoid-head92" xml:space="preserve">SCHOLIVM.</head>
          <p>
            <s xml:id="echoid-s2662" xml:space="preserve">Sicuti autem in antecedentibus reperta ſunt cen-
              <lb/>
            tra grauitatis variorum ſegmentorum infinitorum
              <lb/>
            fuſorum parabolicorum, ſic ex ſuppoſita quadratura
              <lb/>
            hyperbolæ, eiuſque ſegmentorum, liceret reperire
              <lb/>
            tam centra grauitatis variorum ſegmentorum hy-
              <lb/>
            perbol quam variorum ſegmentorum fufi ex hy-
              <lb/>
            perbola, quod indicaſſe lectori ſufficiat.</s>
            <s xml:id="echoid-s2663" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2664" xml:space="preserve">Ex ſuperius ergo dictis patuit quot ſint ea, quæ
              <lb/>
            deducuntur ex propoſit. </s>
            <s xml:id="echoid-s2665" xml:space="preserve">30. </s>
            <s xml:id="echoid-s2666" xml:space="preserve">ſuperiori, ſed inſuper
              <lb/>
            alia poſſunt deduci nempe tres regulæ vniuerſales in
              <lb/>
            tribus ſequentibus propoſic. </s>
            <s xml:id="echoid-s2667" xml:space="preserve">exprimendæ.</s>
            <s xml:id="echoid-s2668" xml:space="preserve"/>
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