<iframe 
    src="http://jsxgraph.uni-bayreuth.de/share/iframe/intersection-of-curves" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Intersection of curves" 
    allowfullscreen
></iframe>

<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution 4.0 International License.
    https://creativecommons.org/licenses/by/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    const board = JXG.JSXGraph.initBoard(BOARDID, {
        axis: true,
        boundingbox: [-15, 10, 10, -10]
    });
    
    var p = [];
    p.push(board.create('point', [0, -5]));
    p.push(board.create('point', [-5, 0]));
    p.push(board.create('point', [-3, 3]));
    
    // Ellipse
    var curve1 = board.create('ellipse', p, {strokeColor: 'black'});
    
    // Rose
    var curve2 = board.create('curve', [(phi) => 4 * Math.cos(2 * phi), [0, 0], 0, 2 * Math.PI], {
        curveType: 'polar', 
        strokeColor: 'blue', 
        strokewidth: 1
    });
    
    // Intersection
    var clip_path = board.create('curveintersection', [curve1, curve2], {
        strokeWidth: 3,
        fillColor: 'yellow',
        fillOpacity: 0.3
    });
    
 </script> 

<jsxgraph width="100%" aspect-ratio="1 / 1" title="Intersection of curves" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
   /*
   This example is licensed under a 
   Creative Commons Attribution 4.0 International License.
   https://creativecommons.org/licenses/by/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   const board = JXG.JSXGraph.initBoard(BOARDID, {
       axis: true,
       boundingbox: [-15, 10, 10, -10]
   });
   
   var p = [];
   p.push(board.create('point', [0, -5]));
   p.push(board.create('point', [-5, 0]));
   p.push(board.create('point', [-3, 3]));
   
   // Ellipse
   var curve1 = board.create('ellipse', p, {strokeColor: 'black'});
   
   // Rose
   var curve2 = board.create('curve', [(phi) => 4 * Math.cos(2 * phi), [0, 0], 0, 2 * Math.PI], {
       curveType: 'polar', 
       strokeColor: 'blue', 
       strokewidth: 1
   });
   
   // Intersection
   var clip_path = board.create('curveintersection', [curve1, curve2], {
       strokeWidth: 3,
       fillColor: 'yellow',
       fillOpacity: 0.3
   });
   
</jsxgraph>