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Archimedean spiral
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<iframe 
    src="http://jsxgraph.org/share/iframe/archimedean-spiral" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Archimedean spiral" 
    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: [-20, 20, 20, -20]
    });
    var a = board.create('slider', [
        [1, 10],
        [5, 10],
        [0, 1, 8]
    ], {
        name: 'a'
    });
    var b = board.create('slider', [
        [1, 12],
        [5, 12],
        [0, 0.25, 2]
    ], {
        name: 'b'
    });
    
    var c = board.create('curve', [function(phi) {
            return a.Value() + b.Value() * phi;
        },
        [0, 0], 0, 8 * Math.PI
    ], {
        curveType: 'polar',
        strokewidth: 4
    });
    
    var g = board.create('glider', [-1, 2, c]);
    var t = board.create('tangent', [g], {
        dash: 2,
        strokeColor: '#a612a9'
    });
    var n = board.create('normal', [g], {
        dash: 2,
        strokeColor: '#a612a9'
    });
 </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: [-20, 20, 20, -20]
});
var a = board.create('slider', [
    [1, 10],
    [5, 10],
    [0, 1, 8]
], {
    name: 'a'
});
var b = board.create('slider', [
    [1, 12],
    [5, 12],
    [0, 0.25, 2]
], {
    name: 'b'
});

var c = board.create('curve', [function(phi) {
        return a.Value() + b.Value() * phi;
    },
    [0, 0], 0, 8 * Math.PI
], {
    curveType: 'polar',
    strokewidth: 4
});

var g = board.create('glider', [-1, 2, c]);
var t = board.create('tangent', [g], {
    dash: 2,
    strokeColor: '#a612a9'
});
var n = board.create('normal', [g], {
    dash: 2,
    strokeColor: '#a612a9'
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Archimedean spiral" 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: [-20, 20, 20, -20]
   });
   var a = board.create('slider', [
       [1, 10],
       [5, 10],
       [0, 1, 8]
   ], {
       name: 'a'
   });
   var b = board.create('slider', [
       [1, 12],
       [5, 12],
       [0, 0.25, 2]
   ], {
       name: 'b'
   });
   
   var c = board.create('curve', [function(phi) {
           return a.Value() + b.Value() * phi;
       },
       [0, 0], 0, 8 * Math.PI
   ], {
       curveType: 'polar',
       strokewidth: 4
   });
   
   var g = board.create('glider', [-1, 2, c]);
   var t = board.create('tangent', [g], {
       dash: 2,
       strokeColor: '#a612a9'
   });
   var n = board.create('normal', [g], {
       dash: 2,
       strokeColor: '#a612a9'
   });
</jsxgraph>
Archimedean spiral described in polar coordinates $(r,\theta)$ by the equation $$ r=a+b\theta $$ for real numbers $a$ and $b$. $a$ and $b$ can be controlled by sliders. The point $A$ is a glider on the curve and determines a tangent and normal to the curve.
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-20, 20, 20, -20]
});
var a = board.create('slider', [
    [1, 10],
    [5, 10],
    [0, 1, 8]
], {
    name: 'a'
});
var b = board.create('slider', [
    [1, 12],
    [5, 12],
    [0, 0.25, 2]
], {
    name: 'b'
});

var c = board.create('curve', [function(phi) {
        return a.Value() + b.Value() * phi;
    },
    [0, 0], 0, 8 * Math.PI
], {
    curveType: 'polar',
    strokewidth: 4
});

var g = board.create('glider', [-1, 2, c]);
var t = board.create('tangent', [g], {
    dash: 2,
    strokeColor: '#a612a9'
});
var n = board.create('normal', [g], {
    dash: 2,
    strokeColor: '#a612a9'
});

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.