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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          <p>
            <s xml:id="echoid-s1292" xml:space="preserve">
              <pb o="71" file="0083" n="83"/>
            ctione hypèrbolæ linea, vellineis diametro paralle-
              <lb/>
            lis; </s>
            <s xml:id="echoid-s1293" xml:space="preserve">& </s>
            <s xml:id="echoid-s1294" xml:space="preserve">conſequenter centrum grauitatis talis partis
              <lb/>
            duplicatæ. </s>
            <s xml:id="echoid-s1295" xml:space="preserve">Explicabimus hoc in vna, ex huiuſque
              <lb/>
            explicatione lector adnotabit modum in alijs exer-
              <lb/>
            cendum. </s>
            <s xml:id="echoid-s1296" xml:space="preserve">Intelligamus in ſequenti figura reperire
              <lb/>
            centrum grauitatis portionis T O C, reſectæ linea
              <lb/>
            T O, diametro B A, parallela. </s>
            <s xml:id="echoid-s1297" xml:space="preserve">Quoniam ſupia in
              <lb/>
            propoſit. </s>
            <s xml:id="echoid-s1298" xml:space="preserve">19. </s>
            <s xml:id="echoid-s1299" xml:space="preserve">probatum fuit annulum ex figura mix-
              <lb/>
            ta C O P G, æqualem fore cylindro Q S; </s>
            <s xml:id="echoid-s1300" xml:space="preserve">commu-
              <lb/>
            ai addito fruſto conico G P R M, totum ſolidum
              <lb/>
            C O N L, erit æquale cylindro Q S, & </s>
            <s xml:id="echoid-s1301" xml:space="preserve">fruſto
              <lb/>
            G P R M. </s>
            <s xml:id="echoid-s1302" xml:space="preserve">Cum ergo ad modum ſuperiorum poſſi-
              <lb/>
            mus reperire rationem, quam habet cylindrus T L,
              <lb/>
            ad cylindrum Q S, & </s>
            <s xml:id="echoid-s1303" xml:space="preserve">ad ſegmentum conicum-
              <lb/>
            G P R M, ſimul; </s>
            <s xml:id="echoid-s1304" xml:space="preserve">habebimus etiam rationem, quam
              <lb/>
            habet cylindrus T L, ad ſolidum C O N L. </s>
            <s xml:id="echoid-s1305" xml:space="preserve">Hac
              <lb/>
            habita, ſi ex ipſa ſubtrahamus rationem, quam
              <lb/>
            habet dimidium I C, ſuppoſitam, ad figu-
              <lb/>
            ram C O I F; </s>
            <s xml:id="echoid-s1306" xml:space="preserve">habebimus rationem, quam habet
              <lb/>
            T I, ad interceptam inter I, & </s>
            <s xml:id="echoid-s1307" xml:space="preserve">centrum æquilibrij
              <lb/>
            figuræ C O I F, in I T. </s>
            <s xml:id="echoid-s1308" xml:space="preserve">Et conſequenter facile re-
              <lb/>
            periemus centrum æquilibrij talis figuræ. </s>
            <s xml:id="echoid-s1309" xml:space="preserve">Hoc in-
              <lb/>
            uento reperietur etiam centrum ęquilibrij portionis
              <lb/>
            hyperbolę T O C, in T O; </s>
            <s xml:id="echoid-s1310" xml:space="preserve">& </s>
            <s xml:id="echoid-s1311" xml:space="preserve">conſequenter cen-
              <lb/>
            trum grauitatis duplicatę T O C, ad partes T O.
              <lb/>
            </s>
            <s xml:id="echoid-s1312" xml:space="preserve">Ex quibus poſtea reliqua ſolita deduci, colligeren-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s1313" xml:space="preserve">Hęcergo, & </s>
            <s xml:id="echoid-s1314" xml:space="preserve">ſimilia liceret reperire. </s>
            <s xml:id="echoid-s1315" xml:space="preserve">Ex qui-
              <lb/>
            bus paterent ea omnia, quę oſtendit Caualerius in
              <lb/>
            loc. </s>
            <s xml:id="echoid-s1316" xml:space="preserve">cit. </s>
            <s xml:id="echoid-s1317" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1318" xml:space="preserve">36. </s>
            <s xml:id="echoid-s1319" xml:space="preserve">& </s>
            <s xml:id="echoid-s1320" xml:space="preserve">multo plura. </s>
            <s xml:id="echoid-s1321" xml:space="preserve">Sed quia </s>
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