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Poincare disc model
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<iframe 
    src="https://jsxgraph.org/share/iframe/poincare-disc-model" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Poincare disc model" 
    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: [-5, 5, 5, -5], keepaspectratio: true });
    var c = board.create('circle', [[0, 0], 3], { strokeColor: 'black', fixed: true }); // outer circle
    
    var p = board.create('point', [0, -4], { withLabel: false });
    var t = board.create('polar', [c, p], { strokeColor: 'gray', dash: 2, visible: false });
    var s1 = board.create('intersection', [c, t, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
    var s2 = board.create('intersection', [c, t, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
    var arc = board.create('arc', [p, s1, s2], { name: 'g', withLabel: true });
    
    var pp = board.create('point', [1, 2], { withLabel: true, name: 'P' });
    var t = board.create('polar', [c, pp], { visible: false });
    var l = board.create('line', [[0, 0], pp], { visible: false });
    var A = board.create('intersection', [l, t, 0], { withLabel: true, visible: false });
    var M = board.create('midpoint', [pp, A], { withLabel: true, visible: false });
    var perp = board.create('perpendicular', [l, M], { name: '', withLabel: false, strokeColor: 'gray', dash: 1,
        straightFirst: true, straightLast: true, point: { visible: true } });
    
    var x = board.create('glider', [3, 3, perp], { name: 'drag me' });
    
    var t2 = board.create('polar', [c, x], { strokeColor: 'gray', dash: 2, visible: false });
    var ss1 = board.create('intersection', [c, t2, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
    var ss2 = board.create('intersection', [c, t2, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
    var arc = board.create('circumcirclearc', [ss1, pp, ss2], { strokeWidth: 1, trace: true, dash: 3 });
 </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: [-5, 5, 5, -5], keepaspectratio: true });
var c = board.create('circle', [[0, 0], 3], { strokeColor: 'black', fixed: true }); // outer circle

var p = board.create('point', [0, -4], { withLabel: false });
var t = board.create('polar', [c, p], { strokeColor: 'gray', dash: 2, visible: false });
var s1 = board.create('intersection', [c, t, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var s2 = board.create('intersection', [c, t, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var arc = board.create('arc', [p, s1, s2], { name: 'g', withLabel: true });

var pp = board.create('point', [1, 2], { withLabel: true, name: 'P' });
var t = board.create('polar', [c, pp], { visible: false });
var l = board.create('line', [[0, 0], pp], { visible: false });
var A = board.create('intersection', [l, t, 0], { withLabel: true, visible: false });
var M = board.create('midpoint', [pp, A], { withLabel: true, visible: false });
var perp = board.create('perpendicular', [l, M], { name: '', withLabel: false, strokeColor: 'gray', dash: 1,
    straightFirst: true, straightLast: true, point: { visible: true } });

var x = board.create('glider', [3, 3, perp], { name: 'drag me' });

var t2 = board.create('polar', [c, x], { strokeColor: 'gray', dash: 2, visible: false });
var ss1 = board.create('intersection', [c, t2, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var ss2 = board.create('intersection', [c, t2, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var arc = board.create('circumcirclearc', [ss1, pp, ss2], { strokeWidth: 1, trace: true, dash: 3 });
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Poincare disc model" 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: [-5, 5, 5, -5], keepaspectratio: true });
   var c = board.create('circle', [[0, 0], 3], { strokeColor: 'black', fixed: true }); // outer circle
   
   var p = board.create('point', [0, -4], { withLabel: false });
   var t = board.create('polar', [c, p], { strokeColor: 'gray', dash: 2, visible: false });
   var s1 = board.create('intersection', [c, t, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
   var s2 = board.create('intersection', [c, t, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
   var arc = board.create('arc', [p, s1, s2], { name: 'g', withLabel: true });
   
   var pp = board.create('point', [1, 2], { withLabel: true, name: 'P' });
   var t = board.create('polar', [c, pp], { visible: false });
   var l = board.create('line', [[0, 0], pp], { visible: false });
   var A = board.create('intersection', [l, t, 0], { withLabel: true, visible: false });
   var M = board.create('midpoint', [pp, A], { withLabel: true, visible: false });
   var perp = board.create('perpendicular', [l, M], { name: '', withLabel: false, strokeColor: 'gray', dash: 1,
       straightFirst: true, straightLast: true, point: { visible: true } });
   
   var x = board.create('glider', [3, 3, perp], { name: 'drag me' });
   
   var t2 = board.create('polar', [c, x], { strokeColor: 'gray', dash: 2, visible: false });
   var ss1 = board.create('intersection', [c, t2, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
   var ss2 = board.create('intersection', [c, t2, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
   var arc = board.create('circumcirclearc', [ss1, pp, ss2], { strokeWidth: 1, trace: true, dash: 3 });
</jsxgraph>
Interactive circle geometry with polar lines and arcs. A point defines a polar, intersections form arcs, and point $P$ creates a perpendicular line. A draggable point moves along it, dynamically updating a circumcircle arc through $P$ and intersections. **AI generated desctiption**
// Define the id of your board in BOARDID

var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 5, 5, -5], keepaspectratio: true });
var c = board.create('circle', [[0, 0], 3], { strokeColor: 'black', fixed: true }); // outer circle

var p = board.create('point', [0, -4], { withLabel: false });
var t = board.create('polar', [c, p], { strokeColor: 'gray', dash: 2, visible: false });
var s1 = board.create('intersection', [c, t, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var s2 = board.create('intersection', [c, t, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var arc = board.create('arc', [p, s1, s2], { name: 'g', withLabel: true });

var pp = board.create('point', [1, 2], { withLabel: true, name: 'P' });
var t = board.create('polar', [c, pp], { visible: false });
var l = board.create('line', [[0, 0], pp], { visible: false });
var A = board.create('intersection', [l, t, 0], { withLabel: true, visible: false });
var M = board.create('midpoint', [pp, A], { withLabel: true, visible: false });
var perp = board.create('perpendicular', [l, M], { name: '', withLabel: false, strokeColor: 'gray', dash: 1,
    straightFirst: true, straightLast: true, point: { visible: true } });

var x = board.create('glider', [3, 3, perp], { name: 'drag me' });

var t2 = board.create('polar', [c, x], { strokeColor: 'gray', dash: 2, visible: false });
var ss1 = board.create('intersection', [c, t2, 0], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var ss2 = board.create('intersection', [c, t2, 1], { withLabel: false, strokeColor: 'green', fillColor: 'green' });
var arc = board.create('circumcirclearc', [ss1, pp, ss2], { strokeWidth: 1, trace: true, dash: 3 });

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.