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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          <pb file="0010" n="10"/>
          <figure number="3">
            <image file="0010-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0010-01"/>
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        <div xml:id="echoid-div5" type="section" level="1" n="5">
          <head xml:id="echoid-head15" xml:space="preserve">LECTORI
            <lb/>
          BENEVOLO.</head>
          <p>
            <s xml:id="echoid-s65" xml:space="preserve">ELapſo Menſe Iulij exierunt è Typo-
              <lb/>
            graphi manibus quatuor noſtrilibri
              <lb/>
            circa Infinitas Parabolas verſantes.
              <lb/>
            </s>
            <s xml:id="echoid-s66" xml:space="preserve">Subiectum equidem vetus, quum de
              <lb/>
            ipſo Caualerius antè annum 1640,
              <lb/>
            in problemate vltimo centuriæ ſuo-
              <lb/>
            rum problematum; </s>
            <s xml:id="echoid-s67" xml:space="preserve">& </s>
            <s xml:id="echoid-s68" xml:space="preserve">anno 1647. </s>
            <s xml:id="echoid-s69" xml:space="preserve">in exercitatio-
              <lb/>
            nibus geometricis; </s>
            <s xml:id="echoid-s70" xml:space="preserve">pertractauerit. </s>
            <s xml:id="echoid-s71" xml:space="preserve">Sed circa illud,
              <lb/>
            non modica vel totaliter ab ipſo intacta, vel pro-
              <lb/>
            prijs medijs oſtenſa, & </s>
            <s xml:id="echoid-s72" xml:space="preserve">roborata, manifeſtauimus. </s>
            <s xml:id="echoid-s73" xml:space="preserve">
              <lb/>
            Verum dum tertius illorum ſub prælo eſſet, ſuccurrit
              <lb/>
            modus centra grauitatis hyperbolæ, eiuſque partium
              <lb/>
            indagandi, ſuppoſita tamen ipſarum quadratura. </s>
            <s xml:id="echoid-s74" xml:space="preserve">
              <lb/>
            Aſt tunc noſtra intererat opus de infinitis parabolis
              <lb/>
            quam primum abſoluere; </s>
            <s xml:id="echoid-s75" xml:space="preserve">quapropter & </s>
            <s xml:id="echoid-s76" xml:space="preserve">in epiſtola
              <lb/>
            ad lectorem, & </s>
            <s xml:id="echoid-s77" xml:space="preserve">in calce quarti libri polliciti ſumus,
              <lb/>
            & </s>
            <s xml:id="echoid-s78" xml:space="preserve">argumentum illud, & </s>
            <s xml:id="echoid-s79" xml:space="preserve">tractatum de infinitis ſpira-
              <lb/>
            libus, ſequenti anno, explicare. </s>
            <s xml:id="echoid-s80" xml:space="preserve">Incępimus conſcri-
              <lb/>
            bere propoſitiones ad centrum grauitatis hyperbolæ
              <lb/>
            attinentes; </s>
            <s xml:id="echoid-s81" xml:space="preserve">quando tot nouæ cognitiones </s>
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