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Lemniscate of Bernoulli
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<iframe 
    src="https://jsxgraph.uni-bayreuth.de/share/iframe/lemniscate-of-bernoulli" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Lemniscate of Bernoulli" 
    allowfullscreen
></iframe>
This code has to 
<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, {
        boundingbox: [-5, 5, 7, -5],
        axis: true
    });
     
    var a = board.create('slider', [[1,4], [4,4], [0, 1, 8]], {name: 'a'});
    
    var c = board.create('curve', [
        (t) => a.Value() * Math.cos(t) / (1 + Math.sin(t)**2),
        (t) => a.Value() * Math.sin(t) * Math.cos(t) / (1 + Math.sin(t)**2)
    ], {strokeWidth: 3});
    
    
 </script> 
/*
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 = 'your_div_id'; // Insert your id here!

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5, 5, 7, -5],
    axis: true
});
 
var a = board.create('slider', [[1,4], [4,4], [0, 1, 8]], {name: 'a'});

var c = board.create('curve', [
    (t) => a.Value() * Math.cos(t) / (1 + Math.sin(t)**2),
    (t) => a.Value() * Math.sin(t) * Math.cos(t) / (1 + Math.sin(t)**2)
], {strokeWidth: 3});


<jsxgraph width="100%" aspect-ratio="1 / 1" title="Lemniscate of Bernoulli" 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, {
       boundingbox: [-5, 5, 7, -5],
       axis: true
   });
    
   var a = board.create('slider', [[1,4], [4,4], [0, 1, 8]], {name: 'a'});
   
   var c = board.create('curve', [
       (t) => a.Value() * Math.cos(t) / (1 + Math.sin(t)**2),
       (t) => a.Value() * Math.sin(t) * Math.cos(t) / (1 + Math.sin(t)**2)
   ], {strokeWidth: 3});
   
   
</jsxgraph>
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5, 5, 7, -5],
    axis: true
});
 
var a = board.create('slider', [[1,4], [4,4], [0, 1, 8]], {name: 'a'});

var c = board.create('curve', [
    (t) => a.Value() * Math.cos(t) / (1 + Math.sin(t)**2),
    (t) => a.Value() * Math.sin(t) * Math.cos(t) / (1 + Math.sin(t)**2)
], {strokeWidth: 3});

license

This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.