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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[51.] PROPOSITIO XXIV.
[52.] PROPOSITIO XXV.
[53.] PROPOSITIO XXVI.
[54.] SCHOLIVM I.
[55.] SCHOLIVM II.
[56.] SCHOLIVM III.
[57.] PROPOSITIO XXVII.
[58.] ALITER.
[59.] PROPOSITIO XXVIII.
[60.] SCHOLIVMI.
[61.] SCHOLIVM II.
[62.] PROPOSITIO XXIX.
[63.] SCHOLIV M.
[64.] PROPOSITIO XXX.
[65.] SCHOLIVM I.
[66.] SCHOLIVM II.
[67.] PROPOSITIO XXXI. Semifuſi parabolici cuiuſcunque, centrum grauitatis reperire.
[68.] SCHOLIVM.
[69.] PROPOSITIO XXXII.
[70.] SCHOLIV M.
[71.] PROPOSITIO XXXIII.
[72.] SCHOLIVM.
[73.] PROPOSITIO XXXIV.
[74.] SCHOLIVM.
[75.] PROPOSITIO XXXV.
[76.] SCHOLIVM.
[77.] PROPOSITIO XXXVI.
[78.] SCHOLIVM.
[79.] PROPOSITIO XXXVII.
[80.] SCHOLIVM.
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          <p>
            <s xml:id="echoid-s1720" xml:space="preserve">
              <pb o="97" file="0109" n="109"/>
              <figure xlink:label="fig-0109-01" xlink:href="fig-0109-01a" number="46">
                <image file="0109-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0109-01"/>
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            pe ſic armillam circularem k N R, ad armillam cir-
              <lb/>
            cularem L M Q. </s>
            <s xml:id="echoid-s1721" xml:space="preserve">Quare eodem modo concludemus
              <lb/>
            eſſe figuram E C, ad figuram A B C, vt ſolidum
              <lb/>
            ex E C, circa S T, ad ſolidum ex figura A B C, cir-
              <lb/>
            ca eandem T S. </s>
            <s xml:id="echoid-s1722" xml:space="preserve">Quod erat oſtendendum.</s>
            <s xml:id="echoid-s1723" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div93" type="section" level="1" n="63">
          <head xml:id="echoid-head74" xml:space="preserve">SCHOLIV M.</head>
          <p>
            <s xml:id="echoid-s1724" xml:space="preserve">Cum præſens propoſitio ſit propoſita in tanta vni-
              <lb/>
            uerſalitate, adeovt comprehendat infinitas figuras
              <lb/>
            circa diametrum, & </s>
            <s xml:id="echoid-s1725" xml:space="preserve">infinitis modis diuerſificatas,
              <lb/>
            impoſſibile videtur poſſe ipſam oſtendi in tali vni-
              <lb/>
            uerſalitate vnica conſtructione niſi per indiuiſibilia.
              <lb/>
            </s>
            <s xml:id="echoid-s1726" xml:space="preserve">Modo etiam archimedeo probari poteſt, ſed in caſi-
              <lb/>
            bus particularibus, & </s>
            <s xml:id="echoid-s1727" xml:space="preserve">conſtructionibus proprijs, vt
              <lb/>
            quilibet poterit experiri.</s>
            <s xml:id="echoid-s1728" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1729" xml:space="preserve">Ex hac autem vniuerſaliſſima propoſitione, ea om-
              <lb/>
            nia, quæ ſunt deducta in corollarijs propoſit. </s>
            <s xml:id="echoid-s1730" xml:space="preserve">cit. </s>
            <s xml:id="echoid-s1731" xml:space="preserve">in
              <lb/>
            opere de in finit. </s>
            <s xml:id="echoid-s1732" xml:space="preserve">parab circa varia ſolida </s>
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