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Animation with setInterval
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<iframe 
    src="https://www.jsxgraph.org/share/iframe/animation-with-setinterval" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Animation with setInterval" 
    allowfullscreen
></iframe>
This code has to
<button onclick="play()">play</button> <button onclick="resetAnimation()">reset</button>

<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: [-1.5, 1.5, 1.5, -1.5],
        keepaspectratio: true,
        axis: true
    });
    
    var isPlaying = false;
    var starttime = 0;
    var timeElapsed = 0;
    var interval;
    
    var p = board.create('point',
        [() => Math.cos(timeElapsed), () => Math.sin(timeElapsed)]
    );
    
    function playing() {
        timeElapsed = (Date.now() - starttime) / 1000;
        board.update();
    }
    
    function play() {
        if (!isPlaying) {
            starttime = Date.now();
            isPlaying = true;
            interval = setInterval(playing, 50);
        }
    }
    
    function resetAnimation() {
        clearInterval(interval);
        timeElapsed = 0;
        isPlaying = false;
        board.update();
    }
 </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: [-1.5, 1.5, 1.5, -1.5],
    keepaspectratio: true,
    axis: true
});

var isPlaying = false;
var starttime = 0;
var timeElapsed = 0;
var interval;

var p = board.create('point',
    [() => Math.cos(timeElapsed), () => Math.sin(timeElapsed)]
);

function playing() {
    timeElapsed = (Date.now() - starttime) / 1000;
    board.update();
}

function play() {
    if (!isPlaying) {
        starttime = Date.now();
        isPlaying = true;
        interval = setInterval(playing, 50);
    }
}

function resetAnimation() {
    clearInterval(interval);
    timeElapsed = 0;
    isPlaying = false;
    board.update();
}

Animation with setInterval

This example has been provided by user Cleonis.
<button onclick="play()">play</button> <button onclick="resetAnimation()">reset</button>
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-1.5, 1.5, 1.5, -1.5],
    keepaspectratio: true,
    axis: true
});

var isPlaying = false;
var starttime = 0;
var timeElapsed = 0;
var interval;

var p = board.create('point',
    [() => Math.cos(timeElapsed), () => Math.sin(timeElapsed)]
);

function playing() {
    timeElapsed = (Date.now() - starttime) / 1000;
    board.update();
}

function play() {
    if (!isPlaying) {
        starttime = Date.now();
        isPlaying = true;
        interval = setInterval(playing, 50);
    }
}

function resetAnimation() {
    clearInterval(interval);
    timeElapsed = 0;
    isPlaying = false;
    board.update();
}

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.