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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          <head xml:id="echoid-head42" xml:space="preserve">SCHOLIVM.</head>
          <p>
            <s xml:id="echoid-s846" xml:space="preserve">Proportionem prædicti cylindri ad illud ſegmen-
              <lb/>
            tum hyperbolicum, etiam duobus alijs modis, con-
              <lb/>
            ſequenter ad ſuperius dicta, liceret colligere. </s>
            <s xml:id="echoid-s847" xml:space="preserve">Cum
              <lb/>
            enim tale ſegmentum conſter ex ſegmento coniſibi
              <lb/>
            inſcripto, & </s>
            <s xml:id="echoid-s848" xml:space="preserve">ex exceſſu ſupra ipſum; </s>
            <s xml:id="echoid-s849" xml:space="preserve">& </s>
            <s xml:id="echoid-s850" xml:space="preserve">cum talis ex-
              <lb/>
            ceſſus ſit æqualis exceſſui ſegmenti conoidis para-
              <lb/>
            bolici ſupra ſuum ſegmentum conicum; </s>
            <s xml:id="echoid-s851" xml:space="preserve">& </s>
            <s xml:id="echoid-s852" xml:space="preserve">cum ex
              <lb/>
            dictis in ijs, quæ de infinitis parabolis conſcripſi-
              <lb/>
            mus, facile liceat colligere rationem L C, & </s>
            <s xml:id="echoid-s853" xml:space="preserve">ad ſeg-
              <lb/>
            mentum conicum A P Q C, & </s>
            <s xml:id="echoid-s854" xml:space="preserve">ad exceſlum ſegmen-
              <lb/>
            ti conoidis parabolici ENOF, ſupra ſegmentum
              <lb/>
            conicum E R S F: </s>
            <s xml:id="echoid-s855" xml:space="preserve">ſequitur facile etiam nos obtine-
              <lb/>
            re rationem LC, ad ſegmentum AHIC. </s>
            <s xml:id="echoid-s856" xml:space="preserve">Pari-
              <lb/>
            ter ſi in ſchemat. </s>
            <s xml:id="echoid-s857" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s858" xml:space="preserve">10. </s>
            <s xml:id="echoid-s859" xml:space="preserve">tam ſegmento v. </s>
            <s xml:id="echoid-s860" xml:space="preserve">g.
              <lb/>
            </s>
            <s xml:id="echoid-s861" xml:space="preserve">A Q T C, quam ſegmento exceſſus fruſti conici
              <lb/>
            G N P H, ſupra cylindrum R M, mente concipia-
              <lb/>
            mus circumſcribi cylindros; </s>
            <s xml:id="echoid-s862" xml:space="preserve">patet ex dictis in eadem
              <lb/>
            propoſitione, tubum cylindricum cuius baſis armil-
              <lb/>
            la circularis G L H, altitudo OD, æqualem eſſe
              <lb/>
            cylindro circumſcripto ſegmento A Q T C. </s>
            <s xml:id="echoid-s863" xml:space="preserve">Pari-
              <lb/>
            terque patet exceſſum fruſti G N P H, ſupra cylin-
              <lb/>
            drum R M, æqualem eſſe ſegmento A Q T C. </s>
            <s xml:id="echoid-s864" xml:space="preserve">Cum
              <lb/>
            ergo ex dictis in opere ſupra citato, faciliſſime
              <lb/>
            poſſimus habere rationem prædicti tubi ad illum ex-
              <lb/>
            ceſſum ſupra cylindrum; </s>
            <s xml:id="echoid-s865" xml:space="preserve">faciliter etiam habebimus
              <lb/>
            rationem cylindri circum ſcripti ſegmento </s>
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