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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[101.] PROPOSITIO XLIX.
Page: 187 (175)
[102.] SCHOLIVM.
Page: 189 (177)
[103.] PROPOSITIO L.
Page: 191 (179)
[104.] SCHOLIV M.
Page: 193 (181)
[105.] PROPOSITIO LI.
Page: 195 (183)
[106.] SCHOLIVM.
Page: 196 (184)
[107.] PROPOSITIO LII.
Page: 196 (184)
[108.] SCHOLIVM.
Page: 197 (185)
[109.] PROPOSITIO LIII.
Page: 198 (186)
[110.] PROPOSITIO LIV.
Page: 199 (187)
[111.] SCHOLIVM I.
Page: 200 (188)
[112.] SCHOLIVM II.
Page: 201 (189)
[113.] PROPOSITIOLV.
Page: 201 (189)
[114.] PROPOSITIOLVI.
Page: 202 (190)
[115.] PROPOSITIO LVII.
Page: 203 (191)
[116.] PROPOSITIO LVIII.
Page: 204 (192)
[117.] SCHOLIVM.
Page: 205 (193)
[118.] PROPOSITIO LIX.
Page: 206 (194)
[119.] PROPOSITIO LX.
Page: 206 (194)
[120.] PROPOSITIO LXI.
Page: 207 (195)
[121.] SCHOLIVM.
Page: 208 (196)
[122.] PROPOSITIO LXII.
Page: 209 (197)
[123.] SCHOLIV M.
Page: 211 (199)
[124.] PROPOSITIO LXIII.
Page: 211 (199)
[125.] SCHOLIV M.
Page: 212 (200)
[126.] PROPOSITIO LXIV.
Page: 213 (201)
[127.] SCHOLIVM.
Page: 217 (205)
[128.] PROPOSITIO LXV.
Page: 217 (205)
[129.] SCHOLIVM.
Page: 220 (208)
[130.] PROPOSITIO LXVI.
Page: 221 (209)
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              <pb o="97" file="0109" n="109"/>
              <figure xlink:label="fig-0109-01" xlink:href="fig-0109-01a" number="46">
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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"/>
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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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