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

Table of contents

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[91.] SCHOLIVM.
[92.] PROPOSITIO XLV.
[93.] SCHOLIVM I.
[94.] SCHOLIVM II.
[95.] PROPOSITIO XLVI.
[96.] PROPOSITIO XLVII.
[97.] SCHOLIVM.
[98.] PROPOSITIO XLVIII.
[99.] SCHOLIVM I.
[100.] SCHOLIVM II.
[101.] PROPOSITIO XLIX.
[102.] SCHOLIVM.
[103.] PROPOSITIO L.
[104.] SCHOLIV M.
[105.] PROPOSITIO LI.
[106.] SCHOLIVM.
[107.] PROPOSITIO LII.
[108.] SCHOLIVM.
[109.] PROPOSITIO LIII.
[110.] PROPOSITIO LIV.
[111.] SCHOLIVM I.
[112.] SCHOLIVM II.
[113.] PROPOSITIOLV.
[114.] PROPOSITIOLVI.
[115.] PROPOSITIO LVII.
[116.] PROPOSITIO LVIII.
[117.] SCHOLIVM.
[118.] PROPOSITIO LIX.
[119.] PROPOSITIO LX.
[120.] PROPOSITIO LXI.
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              <pb o="150" file="0162" n="162"/>
              <figure xlink:label="fig-0162-01" xlink:href="fig-0162-01a" number="67">
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            R E; </s>
            <s xml:id="echoid-s2762" xml:space="preserve">nempe ad ſemifuſum parabolicum. </s>
            <s xml:id="echoid-s2763" xml:space="preserve">His datis
              <lb/>
            dabitur etiam ratio illorum ſolidorum ad inuicem;
              <lb/>
            </s>
            <s xml:id="echoid-s2764" xml:space="preserve">& </s>
            <s xml:id="echoid-s2765" xml:space="preserve">conſequenter centrum æquilibrij ſemiparabolæ
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            E R B, in E B; </s>
            <s xml:id="echoid-s2766" xml:space="preserve">& </s>
            <s xml:id="echoid-s2767" xml:space="preserve">conſequenter centrum grauitatis
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            parabolæ R B A, in diametro B E.</s>
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            <s xml:id="echoid-s2769" xml:space="preserve">Sed hic notetur, parabolas inſeruientes inuentio-
              <lb/>
            ni centri grauitatis infinitarum parabolarum, non
              <lb/>
            eſſe omnes, ſed illas dumtaxat, quarum exponentes
              <lb/>
            ſunt numeri pares; </s>
            <s xml:id="echoid-s2770" xml:space="preserve">quia hæ dumtaxat inſeruiunt </s>
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