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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          <pb o="1" file="0013" n="13"/>
          <figure number="4">
            <image file="0013-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0013-01"/>
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        <div xml:id="echoid-div7" type="section" level="1" n="7">
          <head xml:id="echoid-head17" xml:space="preserve">MISCELLANEVM
            <lb/>
          HYPERBOLICVM,
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          PARABOLICVMQVE.</head>
          <p>
            <s xml:id="echoid-s107" xml:space="preserve">FÆCVNDITAS trium propoſi-
              <lb/>
            tionum initio tertij libri eorum,
              <lb/>
            quos de infinitis conſcripſimus pa-
              <lb/>
            rabolis, explicatarum, luculenter ex
              <lb/>
            pronunciatis ijſdem in libris fuit
              <lb/>
            omnibus patefacta. </s>
            <s xml:id="echoid-s108" xml:space="preserve">Hæc autem
              <lb/>
            eluceſcet magis, magiſque perluſtrantibus in præ-
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            ſentilibro à nobis aperienda. </s>
            <s xml:id="echoid-s109" xml:space="preserve">Centra grauitatis cir-
              <lb/>
            culi, & </s>
            <s xml:id="echoid-s110" xml:space="preserve">Ellipſis, aliquarumque ipſorum partium ad
              <lb/>
            noſtra tempora vſque incognita fuere. </s>
            <s xml:id="echoid-s111" xml:space="preserve">Noftro dum-
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            taxat ſeculo Ioannes della Failla, Guldinus, alijque
              <lb/>
            hæc detexere. </s>
            <s xml:id="echoid-s112" xml:space="preserve">Hæc & </s>
            <s xml:id="echoid-s113" xml:space="preserve">nos manifeſtauimus in 3. </s>
            <s xml:id="echoid-s114" xml:space="preserve">& </s>
            <s xml:id="echoid-s115" xml:space="preserve">
              <lb/>
            4. </s>
            <s xml:id="echoid-s116" xml:space="preserve">præcitatis libris, at methodo abomnibus diuer-
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            ſa. </s>
            <s xml:id="echoid-s117" xml:space="preserve">Aſt hæc centra inquirerentur fruſtra niſi circuli
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            quadratura ſupponeretur. </s>
            <s xml:id="echoid-s118" xml:space="preserve">Semidiameter etenim ad
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            interceptam inter centrum circuli, & </s>
            <s xml:id="echoid-s119" xml:space="preserve">centrum gra-
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            uitatis ſectoris eiuſdem eam dicitur habere ratio-
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            nem, quæ inter partem circumferentiæ, </s>
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