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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[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)
[131.] SCHOLIVM.
Page: 226 (214)
[132.] FINIS.
Page: 227 (215)
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            <s xml:id="echoid-s2096" xml:space="preserve">
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            B, deficientem, lector in geometricis peritus fa-
              <lb/>
            cile agnoſcet probari poſſe modo Archimedeo.</s>
            <s xml:id="echoid-s2097" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2098" xml:space="preserve">Ex his ergo, & </s>
            <s xml:id="echoid-s2099" xml:space="preserve">ex dictis in lib. </s>
            <s xml:id="echoid-s2100" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2101" xml:space="preserve">de Infinit. </s>
            <s xml:id="echoid-s2102" xml:space="preserve">Parab.
              <lb/>
            </s>
            <s xml:id="echoid-s2103" xml:space="preserve">colligemus ſæpe replicatam doctrinam; </s>
            <s xml:id="echoid-s2104" xml:space="preserve">nimirum. </s>
            <s xml:id="echoid-s2105" xml:space="preserve">
              <lb/>
            annulum primę figurę, & </s>
            <s xml:id="echoid-s2106" xml:space="preserve">ſolida ſimul ſecundę, eſſe
              <lb/>
            quantitates proportionaliter analogas tam in ma-
              <lb/>
            gnitudine, quam in grauitate. </s>
            <s xml:id="echoid-s2107" xml:space="preserve">Vnde cum ſolidum
              <lb/>
            primę ſit magnitudo ſic analoga cum figura A B C. </s>
            <s xml:id="echoid-s2108" xml:space="preserve">
              <lb/>
            Sequitur etiam omnia ſolida ſecundę figurę ſimul, eſ-
              <lb/>
            ſe analoga cum figura A B C, tam in magnitudi-
              <lb/>
            ne, quam in grauitate. </s>
            <s xml:id="echoid-s2109" xml:space="preserve">Cum autem facile etiam ſic
              <lb/>
            cognoſcere prędictorum ſolidorum ſimul ſecundę
              <lb/>
            figurę eſſe centrum grauitatis in V X (vt hoc enim
              <lb/>
            ſequatur ſic ex induſtria diſpoſita fuerunt;) </s>
            <s xml:id="echoid-s2110" xml:space="preserve">ergo
              <lb/>
            centrum grauitatis prędictorum ſolidorum ſimul ita
              <lb/>
            ſecabit V X, vt centrum grauitatis figurę A B C,
              <lb/>
            ſecat B D. </s>
            <s xml:id="echoid-s2111" xml:space="preserve">Ex hac doctrina adinueniemus centrum
              <lb/>
            grauitatis nonnullorum ſolidorum. </s>
            <s xml:id="echoid-s2112" xml:space="preserve">Sed prius adno-
              <lb/>
            tabim s vnum particulare in ſequenti ſcholio, quod
              <lb/>
            exiſtimamus P. </s>
            <s xml:id="echoid-s2113" xml:space="preserve">Marium Bettinum Societatis lesù ſi
              <lb/>
            viueret, libenter excepiſſe.</s>
            <s xml:id="echoid-s2114" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div104" type="section" level="1" n="66">
          <head xml:id="echoid-head77" xml:space="preserve">SCHOLIVM II.</head>
          <p>
            <s xml:id="echoid-s2115" xml:space="preserve">Galileus, in poſtremis Dialogis pag. </s>
            <s xml:id="echoid-s2116" xml:space="preserve">apud nos 28,
              <lb/>
            loquitur de paradoxo quodam geometrico, in quo
              <lb/>
            intelligit demonſtrare circuli circumferentiam.
              <lb/>
            </s>
            <s xml:id="echoid-s2117" xml:space="preserve">ęqualem eſſe puncto. </s>
            <s xml:id="echoid-s2118" xml:space="preserve">De hoc paradoxo veſtigia Ga-
              <lb/>
            lilei ſequentes, locuti ſumus & </s>
            <s xml:id="echoid-s2119" xml:space="preserve">in appendicula </s>
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