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="32" file="0044" n="44"/>
              <figure xlink:label="fig-0044-01" xlink:href="fig-0044-01a" number="19">
                <image file="0044-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0044-01"/>
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            ad partes A E; </s>
            <s xml:id="echoid-s632" xml:space="preserve">& </s>
            <s xml:id="echoid-s633" xml:space="preserve">ſupra factum eſt conuertendo, vt
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            dimidium D E, ad A B E, ſic k E, ad G H. </s>
            <s xml:id="echoid-s634" xml:space="preserve">Er-
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            go rationes F E, ad E k, & </s>
            <s xml:id="echoid-s635" xml:space="preserve">E k, ad G H, æquales
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            erunt rationibus E k, ad G H, & </s>
            <s xml:id="echoid-s636" xml:space="preserve">A E, ad prædi-
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            ctam interceptam. </s>
            <s xml:id="echoid-s637" xml:space="preserve">Ergo ſi auferatur communis ra-
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            tio k E, ad G H; </s>
            <s xml:id="echoid-s638" xml:space="preserve">F E, ad E k, erit vt A E, ad il-
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            lam interceptam. </s>
            <s xml:id="echoid-s639" xml:space="preserve">Sed ex conſtructione, vt F E, ad
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            E k, ſic A E, ad E L. </s>
            <s xml:id="echoid-s640" xml:space="preserve">Ergo L, erit centrum æqui-
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            librij ſemihyperbolæ. </s>
            <s xml:id="echoid-s641" xml:space="preserve">Et conſequenter in L M,
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            erit centrum grauitatis ſemihyperbolæ. </s>
            <s xml:id="echoid-s642" xml:space="preserve">Q od &</s>
            <s xml:id="echoid-s643" xml:space="preserve">c.</s>
            <s xml:id="echoid-s644" xml:space="preserve"/>
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