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-head49" xml:space="preserve">SCHOLIVM I.</head>
          <p>
            <s xml:id="echoid-s1026" xml:space="preserve">Licet autem præſens propoſitio probata fit per
              <lb/>
            indiuiſibilia, poteſt tamen probari etiam modo ar-
              <lb/>
            chimedeo; </s>
            <s xml:id="echoid-s1027" xml:space="preserve">quia facta conſtructione vt in ſchemate,
              <lb/>
            facile patebit tubum cylindricum O D N, inſcri-
              <lb/>
            ptum in annulo, æqualem eſſe cylindro in cono in-
              <lb/>
            ſcripto. </s>
            <s xml:id="echoid-s1028" xml:space="preserve">Si ergo diuidatur E F, bifariam, & </s>
            <s xml:id="echoid-s1029" xml:space="preserve">partes
              <lb/>
            bifariam, & </s>
            <s xml:id="echoid-s1030" xml:space="preserve">hocſemper, & </s>
            <s xml:id="echoid-s1031" xml:space="preserve">per puncta diuiſionum
              <lb/>
            fiant conſtructiones ſimiles factæ; </s>
            <s xml:id="echoid-s1032" xml:space="preserve">patebit faciliter
              <lb/>
            omnes tubos cylindricos inſcriptos in annulo, æqua-
              <lb/>
            les fore omnibus cylindris in cono inſcriptis. </s>
            <s xml:id="echoid-s1033" xml:space="preserve">Qua-
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            re cum facta hac inſcriptione, tam cylindri in cono
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            inſcripti, quam tubi in annulo poſſint deficere à ma-
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            gnitu dinibus in quibus inſcribuntur magnitudine
              <lb/>
            quacumque data minore; </s>
            <s xml:id="echoid-s1034" xml:space="preserve">modo archimedeo dedu-
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            cetur, annulum æqualem eſſe cono.</s>
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          <head xml:id="echoid-head50" xml:space="preserve">SCHOLIVM II.</head>
          <p>
            <s xml:id="echoid-s1036" xml:space="preserve">Ex dictis ergo in præſenti propoſit. </s>
            <s xml:id="echoid-s1037" xml:space="preserve">& </s>
            <s xml:id="echoid-s1038" xml:space="preserve">in lib. </s>
            <s xml:id="echoid-s1039" xml:space="preserve">4. </s>
            <s xml:id="echoid-s1040" xml:space="preserve">de
              <lb/>
            Infin. </s>
            <s xml:id="echoid-s1041" xml:space="preserve">Parab. </s>
            <s xml:id="echoid-s1042" xml:space="preserve">poſſumus deducere, annulum prædi-
              <lb/>
            ctum, & </s>
            <s xml:id="echoid-s1043" xml:space="preserve">conum G E M, eſſe quantitates proportio-
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            naliter annalogas tam in magnitudine, quam in gra-
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            uitate, tam fecundum totum, quam ſecundum par-
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            tes proportionales. </s>
            <s xml:id="echoid-s1044" xml:space="preserve">Quare cum ex dictis in ſchol-
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            prim. </s>
            <s xml:id="echoid-s1045" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s1046" xml:space="preserve">8. </s>
            <s xml:id="echoid-s1047" xml:space="preserve">eiuſdem libri, conus, trilineum pa-
              <lb/>
            rabolicum quadraticum, & </s>
            <s xml:id="echoid-s1048" xml:space="preserve">exceſſus cylindri </s>
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Impressum