Inverting the Elliptic Integrals</a>
</h3></div></div></div>
<p>
        The arc length of an ellipse with radii <span class="emphasis"><em>a</em></span> and <span class="emphasis"><em>b</em></span>
        is given by:
      </p>
<pre class="programlisting">L(a, b) = 4aE(k)</pre>
<p>
        with:
      </p>
<pre class="programlisting">k = &#8730;(1 - b<sup>2</sup>/a<sup>2</sup>)</pre>
<p>
        where <span class="emphasis"><em>E(k)</em></span> is the complete elliptic integral of the
        second kind