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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            <s xml:id="echoid-s1750" xml:space="preserve">
              <pb o="99" file="0111" n="111"/>
              <figure xlink:label="fig-0111-01" xlink:href="fig-0111-01a" number="47">
                <image file="0111-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0111-01"/>
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            infinitorum annulorum ex ipſis ſic ſecare F C, vt
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            pars terminata ad F, ſit ad partem terminatam ad
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            C, in primo annulo ex prima parabola vt 2. </s>
            <s xml:id="echoid-s1751" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s1752" xml:space="preserve">In
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            ſec. </s>
            <s xml:id="echoid-s1753" xml:space="preserve">vt 3. </s>
            <s xml:id="echoid-s1754" xml:space="preserve">ad 2. </s>
            <s xml:id="echoid-s1755" xml:space="preserve">in tertio vt 4. </s>
            <s xml:id="echoid-s1756" xml:space="preserve">ad 3. </s>
            <s xml:id="echoid-s1757" xml:space="preserve">& </s>
            <s xml:id="echoid-s1758" xml:space="preserve">ſic in infinitum.
              <lb/>
            </s>
            <s xml:id="echoid-s1759" xml:space="preserve">Ratio eſt, quia ex ſchol. </s>
            <s xml:id="echoid-s1760" xml:space="preserve">prim. </s>
            <s xml:id="echoid-s1761" xml:space="preserve">propoſit 2. </s>
            <s xml:id="echoid-s1762" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s1763" xml:space="preserve">2. </s>
            <s xml:id="echoid-s1764" xml:space="preserve">ha-
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            bemus centrum grauitatis infinitarum parabolarum
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            ſic ſecare B D.</s>
            <s xml:id="echoid-s1765" xml:space="preserve"/>
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            <s xml:id="echoid-s1766" xml:space="preserve">Si autem ſupponamus A B C, eſſe quamlibet
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            infinitarum parabolarum, & </s>
            <s xml:id="echoid-s1767" xml:space="preserve">E C, eſſe parallelo-
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            grammum infinitis parabolis circumſcriptum. </s>
            <s xml:id="echoid-s1768" xml:space="preserve">Ha-
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            bebimus centrum grauitatis infinitorum annulorum
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            ortorum ex reuolutione exceſſuum infinitorum pa-
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            rallelogrammorum ſupra infinitas parabolas. </s>
            <s xml:id="echoid-s1769" xml:space="preserve">Hoc
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            autem centrum grauitatis ſic ſecabit F C, vt pars
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            terminata ad F, ſit ad partem terminatam ad C, vt
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            numerus annuli vnitate auctus, ad triplum nume-
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            rum annuli vnitate auctum. </s>
            <s xml:id="echoid-s1770" xml:space="preserve">V. </s>
            <s xml:id="echoid-s1771" xml:space="preserve">g. </s>
            <s xml:id="echoid-s1772" xml:space="preserve">in primo annulo
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            vt 2. </s>
            <s xml:id="echoid-s1773" xml:space="preserve">ad 4. </s>
            <s xml:id="echoid-s1774" xml:space="preserve">In ſecundo, vt 3. </s>
            <s xml:id="echoid-s1775" xml:space="preserve">ad 7. </s>
            <s xml:id="echoid-s1776" xml:space="preserve">In tertio vt 4. </s>
            <s xml:id="echoid-s1777" xml:space="preserve"/>
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