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

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          <p>
            <s xml:id="echoid-s1880" xml:space="preserve">
              <pb o="104" file="0116" n="116"/>
            modo ſecatur A D, à centro grauitatis figuræ
              <lb/>
            O N A B E, ſicuti ſecatur B F, à centro grauitatis
              <lb/>
            figuræ C B Q; </s>
            <s xml:id="echoid-s1881" xml:space="preserve">exiſtentibus pariter homologis pun-
              <lb/>
            ctis extremis A, F; </s>
            <s xml:id="echoid-s1882" xml:space="preserve">D, B.</s>
            <s xml:id="echoid-s1883" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1884" xml:space="preserve">Cum verò eodem etiam modo ſecetur B D, à
              <lb/>
            centro grauitatis figuræ A B C, ſicuti ſecatur F C,
              <lb/>
            à centro grauitatis duplicatæ ſemiparabolæ D B C,
              <lb/>
            in B D C R G: </s>
            <s xml:id="echoid-s1885" xml:space="preserve">pariter cum eodem modo ſecetur
              <lb/>
            B D, à centro grauitatis trilineorum A E B F C,
              <lb/>
            ſicuti ſecatur F C, à centro grauitatis ipſius B C R;
              <lb/>
            </s>
            <s xml:id="echoid-s1886" xml:space="preserve">ſequitur quod ſi intelligamus figuram B D C R G,
              <lb/>
            rotari circa R G, &</s>
            <s xml:id="echoid-s1887" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1888" xml:space="preserve">intelligemus pariter R G,
              <lb/>
            ſic diuidi à centro grauitatis geniti ſolidi, vt pars
              <lb/>
            terminata ad R, ſit ad partem terminatam ad G,
              <lb/>
            vt numerus annuli vnitate auctus, ad numerum an-
              <lb/>
            nuli. </s>
            <s xml:id="echoid-s1889" xml:space="preserve">Nempe vt 2. </s>
            <s xml:id="echoid-s1890" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s1891" xml:space="preserve">vt 3. </s>
            <s xml:id="echoid-s1892" xml:space="preserve">ad 2. </s>
            <s xml:id="echoid-s1893" xml:space="preserve">&</s>
            <s xml:id="echoid-s1894" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1895" xml:space="preserve">Item ſi in-
              <lb/>
            telliganius ſic rotari figuram B C R; </s>
            <s xml:id="echoid-s1896" xml:space="preserve">R G, ſic ſe-
              <lb/>
            cabitur vt pars terminata ad R, ſit ad partem termi-
              <lb/>
            natam ad G, vt numerus annuli vnitate auctus ad
              <lb/>
            triplum numerum annuli vnitate auctum. </s>
            <s xml:id="echoid-s1897" xml:space="preserve">Nempe
              <lb/>
            vt 2 ad 4. </s>
            <s xml:id="echoid-s1898" xml:space="preserve">vt 3. </s>
            <s xml:id="echoid-s1899" xml:space="preserve">ad 7. </s>
            <s xml:id="echoid-s1900" xml:space="preserve">vt 4. </s>
            <s xml:id="echoid-s1901" xml:space="preserve">ad 10. </s>
            <s xml:id="echoid-s1902" xml:space="preserve">Et ſic in in-
              <lb/>
            finitum.</s>
            <s xml:id="echoid-s1903" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1904" xml:space="preserve">Quæ autem dicta ſunt ſupra de parabola quatuor
              <lb/>
            modis diſpoſita, quantum ad aſſignationem centro-
              <lb/>
            rum grauita is ſolidorum rotundorum ex ipſa geni-
              <lb/>
            torum, paret poſſe eriam applicari ſuo modo ſoli-
              <lb/>
            dis genitis ex reuo utione portionum circuli, & </s>
            <s xml:id="echoid-s1905" xml:space="preserve">el-
              <lb/>
            lipſis, item ſemihyperbolæ ſic diſpoſitarum. </s>
            <s xml:id="echoid-s1906" xml:space="preserve">Sed
              <lb/>
            quodnam ſit tale centrum relinquimus lectori </s>
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