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-head40" xml:space="preserve">SCHOLIV M.</head>
          <p>
            <s xml:id="echoid-s722" xml:space="preserve">Modus præſens aſſignandi centrum grauitatis
              <lb/>
            conuenit cum antecedenti, vt attentè conſideranti
              <lb/>
            patebit. </s>
            <s xml:id="echoid-s723" xml:space="preserve">Eſſet etiam alius modus inueniendi tale
              <lb/>
            centrum grauitatis, inuento prius centro grauitatis
              <lb/>
            exceſſus fruſti conici ſupra cylindrum ſibi inſcri-
              <lb/>
            ptum. </s>
            <s xml:id="echoid-s724" xml:space="preserve">Ex ſchol. </s>
            <s xml:id="echoid-s725" xml:space="preserve">enim 3. </s>
            <s xml:id="echoid-s726" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s727" xml:space="preserve">10. </s>
            <s xml:id="echoid-s728" xml:space="preserve">patet talem
              <lb/>
            exceſſum, & </s>
            <s xml:id="echoid-s729" xml:space="preserve">conoides hyperbolicum, eſſe quantita-
              <lb/>
            tes proportionaliter analogas. </s>
            <s xml:id="echoid-s730" xml:space="preserve">Centrum verò gra-
              <lb/>
            uitatis prædicti exceſſus facile habebitur. </s>
            <s xml:id="echoid-s731" xml:space="preserve">Nam ex
              <lb/>
            dictis in lib. </s>
            <s xml:id="echoid-s732" xml:space="preserve">4. </s>
            <s xml:id="echoid-s733" xml:space="preserve">totius fruſti coni habetur pluribus
              <lb/>
            modis centrum grauitatis. </s>
            <s xml:id="echoid-s734" xml:space="preserve">Sed habetur etiam cen-
              <lb/>
            trum grauitatis cylindri in fruſto inſcripti; </s>
            <s xml:id="echoid-s735" xml:space="preserve">habetur-
              <lb/>
            que ratio talis cylindri ad exceſſum fruſti ſupra ip-
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            ſum. </s>
            <s xml:id="echoid-s736" xml:space="preserve">Quare centrum prædicti exceſſus non ignora-
              <lb/>
            bitur. </s>
            <s xml:id="echoid-s737" xml:space="preserve">Vice verſa tamen, modi reperiendi centrum
              <lb/>
            grauitatis conoidis aſſignati in dua bus propoſit. </s>
            <s xml:id="echoid-s738" xml:space="preserve">an-
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            teced quadrabunt etiam prædicto exceſſui.</s>
            <s xml:id="echoid-s739" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s740" xml:space="preserve">Sed ſicuti in ſuperioribus docuimus in qua linea
              <lb/>
            diametro parallela ſit centrum grauitatis ſemihy-
              <lb/>
            perbolæ, ſic videtur conueniens docere in qua linea
              <lb/>
            dian etro parallela ſit centrum grauitatis ſegmenti
              <lb/>
            ſemihy perbolæ contenti inter duas lineas baſi paral-
              <lb/>
            lelas. </s>
            <s xml:id="echoid-s741" xml:space="preserve">Sed cum inuentioni talis lineæ præmiſſa ſit ra-
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            tio, cylindri circumſcripti conoidi ad ipſum conoi-
              <lb/>
            des, ſic in præſentiarum anteponenda videtur atio
              <lb/>
            cylindri circumſcripti ſegmento conoidis </s>
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