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-div23" type="section" level="1" n="17">
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              <pb o="19" file="0031" n="31"/>
              <figure xlink:label="fig-0031-01" xlink:href="fig-0031-01a" number="13">
                <image file="0031-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0031-01"/>
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            vna cum ſexta parte quadrati E D. </s>
            <s xml:id="echoid-s403" xml:space="preserve">Cum autem ex
              <lb/>
            hypotheſi, ſit vt quadratum A D, ad quadratum
              <lb/>
            D E, ſic D G, ad G B; </s>
            <s xml:id="echoid-s404" xml:space="preserve">erit & </s>
            <s xml:id="echoid-s405" xml:space="preserve">vt quadratum A D,
              <lb/>
            ad ſui tertiam partem, cum ſexta parte quadrati E D,
              <lb/>
            ſic G D, ad fui tertiam partem cum ſexta parte
              <lb/>
            G B. </s>
            <s xml:id="echoid-s406" xml:space="preserve">Ergo etiam cylindrus Q C, erit ad conoides
              <lb/>
            A B C, vt D G, ad ſui tertiam partem (nempe ad
              <lb/>
            tertiam partem ipſarum G B, B D) vna cum ſexta
              <lb/>
            parte G B. </s>
            <s xml:id="echoid-s407" xml:space="preserve">At tertia pars G B, vna cum ſexta par-
              <lb/>
            te eiuſdem facit dimidiam G B. </s>
            <s xml:id="echoid-s408" xml:space="preserve">Ergo Q C, erit
              <lb/>
            ad conoides hyperbolicum A B C, vt G D, </s>
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