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-s288" xml:space="preserve">
              <pb o="12" file="0024" n="24"/>
            etiam centrum grauitatis differẽtiæ conoideorum ſic
              <lb/>
            ſecabit B D, in L, vt B L, ſit tripla L D. </s>
            <s xml:id="echoid-s289" xml:space="preserve">Imo cum
              <lb/>
            traiecto quolibet plano H O, parallelo A C, pars
              <lb/>
            differentiæ conoideorum contenta inter plana H O,
              <lb/>
            A C, ſit proportionaliter analoga cum parte diffe-
              <lb/>
            rentiæ conorum contenta inter eadem plana; </s>
            <s xml:id="echoid-s290" xml:space="preserve">& </s>
            <s xml:id="echoid-s291" xml:space="preserve">cum
              <lb/>
            in illo lib. </s>
            <s xml:id="echoid-s292" xml:space="preserve">4. </s>
            <s xml:id="echoid-s293" xml:space="preserve">pluribus modis ſit aſſignatum centrum
              <lb/>
            grauitatis prædictæ partis differentiæ conorum, quia
              <lb/>
            centrum grauitatis illius ſic diuidit L D, ſicuti ip-
              <lb/>
            ſam diuidit centrum grauitatis fruſtorum conorum
              <lb/>
            E M N F, A P R C, vt conſideranti patebit: </s>
            <s xml:id="echoid-s294" xml:space="preserve">ſequi-
              <lb/>
            tur etiam pluribus modis haberi centrum grauitatis
              <lb/>
            differentiæ conoideorum contentæ inter plana H O,
              <lb/>
            A C. </s>
            <s xml:id="echoid-s295" xml:space="preserve">Notetur etiam nos in hoc opere citaturos eſ-
              <lb/>
            ſe antecedentia huius operis, & </s>
            <s xml:id="echoid-s296" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s297" xml:space="preserve">librorum
              <lb/>
            noſtrorum de infinitis parabolis. </s>
            <s xml:id="echoid-s298" xml:space="preserve">Dum ergo citabi-
              <lb/>
            mus propoſ. </s>
            <s xml:id="echoid-s299" xml:space="preserve">huius operis, dicemus, ex tali propoſit.
              <lb/>
            </s>
            <s xml:id="echoid-s300" xml:space="preserve">vel ex ſchol. </s>
            <s xml:id="echoid-s301" xml:space="preserve">talis propoſit. </s>
            <s xml:id="echoid-s302" xml:space="preserve">Dum vero citabimus li-
              <lb/>
            bros de infinitis parabolis, dicemus ex prop. </s>
            <s xml:id="echoid-s303" xml:space="preserve">talilibri
              <lb/>
            talis. </s>
            <s xml:id="echoid-s304" xml:space="preserve">v.</s>
            <s xml:id="echoid-s305" xml:space="preserve">g. </s>
            <s xml:id="echoid-s306" xml:space="preserve">ex propoſ. </s>
            <s xml:id="echoid-s307" xml:space="preserve">4. </s>
            <s xml:id="echoid-s308" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s309" xml:space="preserve">3. </s>
            <s xml:id="echoid-s310" xml:space="preserve">intelligendo ſemper
              <lb/>
            noſtri operis.</s>
            <s xml:id="echoid-s311" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div19" type="section" level="1" n="14">
          <head xml:id="echoid-head24" xml:space="preserve">PROPOSITIO V.</head>
          <p style="it">
            <s xml:id="echoid-s312" xml:space="preserve">Cylindrus circumſcriptus conoidi byperbolico eſt ad ipſum,
              <lb/>
            vt compoſita ex axi, ſeù diametro, & </s>
            <s xml:id="echoid-s313" xml:space="preserve">ex latere tranſ-
              <lb/>
            uerſo conoidis, ad dimidium lateris tranſuerſi, vna cum
              <lb/>
            tertia parte axis, ſeù diametri.</s>
            <s xml:id="echoid-s314" xml:space="preserve"/>
          </p>
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