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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            G M H, &</s>
            <s xml:id="echoid-s3356" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3357" xml:space="preserve">eſſe talis
              <lb/>
              <figure xlink:label="fig-0194-01" xlink:href="fig-0194-01a" number="80">
                <image file="0194-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0194-01"/>
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            naturæ vt latera H B,
              <lb/>
            H K, H L, H M, &</s>
            <s xml:id="echoid-s3358" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s3359" xml:space="preserve">ſint in continua pro-
              <lb/>
            portione Arithmetica; </s>
            <s xml:id="echoid-s3360" xml:space="preserve">
              <lb/>
            baſes vero E H, F H,
              <lb/>
            G H, &</s>
            <s xml:id="echoid-s3361" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3362" xml:space="preserve">ſint maiores
              <lb/>
            omnium mediarum pro-
              <lb/>
            portio nalium reperibi-
              <lb/>
            lium inter A D, C H. </s>
            <s xml:id="echoid-s3363" xml:space="preserve">
              <lb/>
            Primum patet, quia H B,
              <lb/>
            B k, K L, L M, &</s>
            <s xml:id="echoid-s3364" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3365" xml:space="preserve">ſunt
              <lb/>
            omnes æquales. </s>
            <s xml:id="echoid-s3366" xml:space="preserve">Secun-
              <lb/>
            dum patet; </s>
            <s xml:id="echoid-s3367" xml:space="preserve">quia cum ſit
              <lb/>
            vt quadratum A D, ad
              <lb/>
            quadratum EH, ſic D B,
              <lb/>
            ad B H, ſeù A D, ad
              <lb/>
            C H; </s>
            <s xml:id="echoid-s3368" xml:space="preserve">E H, erit media
              <lb/>
            proportionalisinter A D,
              <lb/>
            C H. </s>
            <s xml:id="echoid-s3369" xml:space="preserve">Item cum ſit vt
              <lb/>
            cubus A D, ad cubum
              <lb/>
            F H, ſic D B, ad B H, ſeù A D, ad C H; </s>
            <s xml:id="echoid-s3370" xml:space="preserve">erit F H,
              <lb/>
            maior duarum mediarum inter A D, C H. </s>
            <s xml:id="echoid-s3371" xml:space="preserve">Et ſic di-
              <lb/>
            catur de cæteris.</s>
            <s xml:id="echoid-s3372" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3373" xml:space="preserve">Notetur etiam, quod à ſupradicta regula inue-
              <lb/>
            niendi tangentem non excluditur prima parabola,
              <lb/>
            nempe triangulum. </s>
            <s xml:id="echoid-s3374" xml:space="preserve">Si enim in triangulo A B D, ſit
              <lb/>
            datum punctum C, ad quod debeat duci tangens;
              <lb/>
            </s>
            <s xml:id="echoid-s3375" xml:space="preserve">ducta C H, imperat regula generalis </s>
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