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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[81.] PROPOSITIO XXXVIII.
Page: 156 (144)
[82.] PROPOSITIO XXXIX.
Page: 160 (148)
[83.] PROPOSITIO XL.
Page: 160 (148)
[84.] SCHOLIVM.
Page: 161 (149)
[85.] PROPOSITIO XLI.
Page: 165 (153)
[86.] SCHOLIVM.
Page: 167 (155)
[87.] PROPOSITIO XLII.
Page: 167 (155)
[88.] SCHOLIVM.
Page: 168 (156)
[89.] PROPOSITIO XLIII.
Page: 169 (157)
[90.] PROPOSITIO XLIV.
Page: 170 (158)
[91.] SCHOLIVM.
Page: 171 (159)
[92.] PROPOSITIO XLV.
Page: 171 (159)
[93.] SCHOLIVM I.
Page: 174 (162)
[94.] SCHOLIVM II.
Page: 174 (162)
[95.] PROPOSITIO XLVI.
Page: 176 (164)
[96.] PROPOSITIO XLVII.
Page: 177 (165)
[97.] SCHOLIVM.
Page: 179 (167)
[98.] PROPOSITIO XLVIII.
Page: 180 (168)
[99.] SCHOLIVM I.
Page: 182 (170)
[100.] SCHOLIVM II.
Page: 184 (172)
[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)
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            ſuum conum, & </s>
            <s xml:id="echoid-s3001" xml:space="preserve">parabolam eſſe quantitates propor-
              <lb/>
            tionaliter analogas tam in magnitudine, quam in
              <lb/>
            grauitate, tam ſecundum totum, quam ſecundum
              <lb/>
            partes proportionales. </s>
            <s xml:id="echoid-s3002" xml:space="preserve">Vnde quantum ad magnitu-
              <lb/>
            dinem, patet illum exceſſum ſecari à plano F G, bi-
              <lb/>
            fariam, ſicuti etiam parabola ſecatur bifariam à dia-
              <lb/>
            metro, ſed ſic bifariam, vt partes ſupra, & </s>
            <s xml:id="echoid-s3003" xml:space="preserve">infrà pla-
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            num F G, ſint ſemper ſimiles, & </s>
            <s xml:id="echoid-s3004" xml:space="preserve">æquales tam ſe-
              <lb/>
            cundum totum, quam ſecundum partes proportio-
              <lb/>
            nales. </s>
            <s xml:id="echoid-s3005" xml:space="preserve">Quantum vero ad grauitatem, patet in pri-
              <lb/>
            mis centrum grauitatis prædicti exceſſus eſſe in me-
              <lb/>
            dio B D, ſicuti in medio A C, baſis parabolæ, eſt
              <lb/>
            centrum æquilibrij parabolæ. </s>
            <s xml:id="echoid-s3006" xml:space="preserve">Inſuper pater, dimi-
              <lb/>
            dij exceſſus ſuperioris centrum grauitatis ſic ſecare
              <lb/>
            B E, vt pars ad B, ſit ad partem ad E, vt 5, ad 3;
              <lb/>
            </s>
            <s xml:id="echoid-s3007" xml:space="preserve">quod habetur ex ſchol. </s>
            <s xml:id="echoid-s3008" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3009" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s3010" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3011" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s3012" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3013" xml:space="preserve">In eadem
              <lb/>
            ratione ſecatur D E, à centro grauitatis partis inſe-
              <lb/>
            rioris, adeovt pars ad D, terminata, ſit ad </s>
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Impressum