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="4" file="0016" n="16"/>
              <figure xlink:label="fig-0016-01" xlink:href="fig-0016-01a" number="5">
                <image file="0016-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0016-01"/>
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            ad BL, nempe ſumpta communi altitudine G B,
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            vt rectangulum D B G, ad rectangulum L B G.
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            </s>
            <s xml:id="echoid-s181" xml:space="preserve">Ergo ex æquali, erit quadratum H L, ad quadra-
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            tum K L, vt rectangulum G L B, ad rectangulum
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            G B L. </s>
            <s xml:id="echoid-s182" xml:space="preserve">At rectangulum G L B, maius eſt rectan-
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            gulo G B L. </s>
            <s xml:id="echoid-s183" xml:space="preserve">Ergo etiam quadratum H L, maius
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            erit quadrato K L. </s>
            <s xml:id="echoid-s184" xml:space="preserve">Sed punctum L, ſumptum eſt
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            arbitrariè. </s>
            <s xml:id="echoid-s185" xml:space="preserve">Ergo omnes lineæ ordinatim applica-
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            tæ in pa abola erunt minores ſingulis ordinatim ap-
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            plicatis in hyperbola. </s>
            <s xml:id="echoid-s186" xml:space="preserve">Quare patet propoſitum.</s>
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