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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        <div xml:id="echoid-div118" type="section" level="1" n="75">
          <head xml:id="echoid-head87" xml:space="preserve">PROPOSITIO XXXV.</head>
          <p style="it">
            <s xml:id="echoid-s2479" xml:space="preserve">Annuli stricti orti ex reuolutione ſegmenti ſemiparabolæ
              <lb/>
            cuiuſcunque, cuius exponens ſit numerus par, reſectæ
              <lb/>
            linea baſi parallela, circa lineam ductam parallelam dia-
              <lb/>
            metro per extremitatem baſis poſſumus centrum graui-
              <lb/>
            tatis aſſignare.</s>
            <s xml:id="echoid-s2480" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2481" xml:space="preserve">PArabola quæcunque A B C, cuius numerus
              <lb/>
            par, ſit ſecta L M, A C, parallela, & </s>
            <s xml:id="echoid-s2482" xml:space="preserve">intelli-
              <lb/>
            gamus D I M C, rotari circa C F. </s>
            <s xml:id="echoid-s2483" xml:space="preserve">Dico annuli
              <lb/>
            orti nos poſſe aſſignare centrum grauitatis. </s>
            <s xml:id="echoid-s2484" xml:space="preserve">Nam
              <lb/>
            cum ex propoſit. </s>
            <s xml:id="echoid-s2485" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2486" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2487" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2488" xml:space="preserve">habeamus centrum gra-
              <lb/>
            uitatis ſegmenti parabolæ A L M C, habebimus
              <lb/>
            etiam ex ſupra dictis, centrum grauitatis annuli
              <lb/>
            A L M C O Q G; </s>
            <s xml:id="echoid-s2489" xml:space="preserve">& </s>
            <s xml:id="echoid-s2490" xml:space="preserve">conſequenter quatuor ſolido-
              <lb/>
            rum diſpoſitorum vt in ſecunda figura. </s>
            <s xml:id="echoid-s2491" xml:space="preserve">Ex propo-
              <lb/>
            ſit. </s>
            <s xml:id="echoid-s2492" xml:space="preserve">11. </s>
            <s xml:id="echoid-s2493" xml:space="preserve">eiuſdem libri habemus centrum æquilibtij fi-
              <lb/>
            guræ D I M C, in baſi D C. </s>
            <s xml:id="echoid-s2494" xml:space="preserve">Ex ſchol. </s>
            <s xml:id="echoid-s2495" xml:space="preserve">propoſit.
              <lb/>
            </s>
            <s xml:id="echoid-s2496" xml:space="preserve">15. </s>
            <s xml:id="echoid-s2497" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2498" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2499" xml:space="preserve">habemus centrum grauitatis ſolidi
              <lb/>
            A L M C. </s>
            <s xml:id="echoid-s2500" xml:space="preserve">Ergo quartum non ignorabitur; </s>
            <s xml:id="echoid-s2501" xml:space="preserve">nempe
              <lb/>
            centrum grauitatis ſolidi orti ex rotatione D I M C,
              <lb/>
            circa N C. </s>
            <s xml:id="echoid-s2502" xml:space="preserve">Quod & </s>
            <s xml:id="echoid-s2503" xml:space="preserve">c.</s>
            <s xml:id="echoid-s2504" xml:space="preserve"/>
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          <head xml:id="echoid-head88" xml:space="preserve">SCHOLIVM.</head>
          <p>
            <s xml:id="echoid-s2505" xml:space="preserve">Cum autem habeamus centrum grauitatis cylin-
              <lb/>
            dri IV; </s>
            <s xml:id="echoid-s2506" xml:space="preserve">& </s>
            <s xml:id="echoid-s2507" xml:space="preserve">rationem ex ſchol. </s>
            <s xml:id="echoid-s2508" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2509" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s2510" xml:space="preserve">11. </s>
            <s xml:id="echoid-s2511" xml:space="preserve">lib.</s>
            <s xml:id="echoid-s2512" xml:space="preserve"/>
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