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Three touching circles
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<iframe 
    src="http://jsxgraph.org/share/iframe/three-touching-circles" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Three touching circles" 
    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 ShareAlike 4.0 International License.
    https://creativecommons.org/licenses/by-sa/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-2, 5, 5, -2], keepaspectratio: true });
    var A = board.create('point', [0, 0]),
        B = board.create('point', [2, 0]),
        C = board.create('point', [1, 2]),
    
        a1 = board.create('segment', [A, B], { name: 'a_1', withLabel: true, label: { position: '0.2fr right' } }),
        a2 = board.create('segment', [B, C], { name: 'a_2', withLabel: true, label: { position: '0.2fr right' } }),
        a3 = board.create('segment', [C, A], { name: 'a_3', withLabel: true, label: { position: '0.2fr right' } }),
    
        c1 = board.create('circle', [A, () => (C.Dist(A) - B.Dist(C) + A.Dist(B)) / 2.0]),
        c2 = board.create('circle', [B, () => A.Dist(B) - c1.Radius()]),
        c3 = board.create('circle', [C, () => B.Dist(C) - c2.Radius()]);
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution ShareAlike 4.0 International License.
https://creativecommons.org/licenses/by-sa/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!

var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-2, 5, 5, -2], keepaspectratio: true });
var A = board.create('point', [0, 0]),
    B = board.create('point', [2, 0]),
    C = board.create('point', [1, 2]),

    a1 = board.create('segment', [A, B], { name: 'a_1', withLabel: true, label: { position: '0.2fr right' } }),
    a2 = board.create('segment', [B, C], { name: 'a_2', withLabel: true, label: { position: '0.2fr right' } }),
    a3 = board.create('segment', [C, A], { name: 'a_3', withLabel: true, label: { position: '0.2fr right' } }),

    c1 = board.create('circle', [A, () => (C.Dist(A) - B.Dist(C) + A.Dist(B)) / 2.0]),
    c2 = board.create('circle', [B, () => A.Dist(B) - c1.Radius()]),
    c3 = board.create('circle', [C, () => B.Dist(C) - c2.Radius()]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Three touching circles" 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 ShareAlike 4.0 International License.
   https://creativecommons.org/licenses/by-sa/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-2, 5, 5, -2], keepaspectratio: true });
   var A = board.create('point', [0, 0]),
       B = board.create('point', [2, 0]),
       C = board.create('point', [1, 2]),
   
       a1 = board.create('segment', [A, B], { name: 'a_1', withLabel: true, label: { position: '0.2fr right' } }),
       a2 = board.create('segment', [B, C], { name: 'a_2', withLabel: true, label: { position: '0.2fr right' } }),
       a3 = board.create('segment', [C, A], { name: 'a_3', withLabel: true, label: { position: '0.2fr right' } }),
   
       c1 = board.create('circle', [A, () => (C.Dist(A) - B.Dist(C) + A.Dist(B)) / 2.0]),
       c2 = board.create('circle', [B, () => A.Dist(B) - c1.Radius()]),
       c3 = board.create('circle', [C, () => B.Dist(C) - c2.Radius()]);
</jsxgraph>

Three touching circles

This example starts with a given triangle and constructs three mutually touching circles with the triangle's vertices as centers.
// Define the id of your board in BOARDID

var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-2, 5, 5, -2], keepaspectratio: true });
var A = board.create('point', [0, 0]),
    B = board.create('point', [2, 0]),
    C = board.create('point', [1, 2]),

    a1 = board.create('segment', [A, B], { name: 'a_1', withLabel: true, label: { position: '0.2fr right' } }),
    a2 = board.create('segment', [B, C], { name: 'a_2', withLabel: true, label: { position: '0.2fr right' } }),
    a3 = board.create('segment', [C, A], { name: 'a_3', withLabel: true, label: { position: '0.2fr right' } }),

    c1 = board.create('circle', [A, () => (C.Dist(A) - B.Dist(C) + A.Dist(B)) / 2.0]),
    c2 = board.create('circle', [B, () => A.Dist(B) - c1.Radius()]),
    c3 = board.create('circle', [C, () => B.Dist(C) - c2.Radius()]);

license

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