JSXGraph
JSXGraph share

Share

A 5-circle incidence theorem
Show plain example
QR code 
<iframe 
    src="https://jsxgraph.uni-bayreuth.de/share/iframe/a-5-circle-incidence-theorem" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: A 5-circle incidence theorem" 
    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, 5, -5],
        keepaspectratio: true
    });
    var A = [],
        s = [],
        B = [],
        c = [],
        r = [],
        k;
    
    var attA = {
        name: '',
        strokeColor: '#7355ff',
        fillColor: '#7355ff'
    };
    A[0] = board.create('point', [2.5, -3], attA);
    A[1] = board.create('point', [2, 4], attA);
    A[2] = board.create('point', [-2.5, 3], attA);
    A[3] = board.create('point', [-4, -2], attA);
    A[4] = board.create('point', [0, -4], attA);
    
    for (k = 0; k < 5; k++) {
        s[k] = board.create('segment', [A[k], A[(k + 2) % 5]], {
            strokeColor: 'blue',
            strokeWidth: 1
        });
    }
    
    var attB = {
        name: '',
        strokeColor: '#EA0000',
        fillColor: '#EA0000'
    };
    for (k = 0; k < 5; k++) {
        B[k] = board.create('intersection', [s[k], s[(k - 1 + 5) % 5], 0], attB);
    }
    
    var attC = {
        strokeColor: '#aaaaaa',
        strokeWidth: 1
    };
    for (k = 0; k < 5; k++) {
        c[k] = board.create('circle', [A[k], B[k], A[(k + 1) % 5]], attC);
    }
    
    var attR = {
        strokeColor: '#ff0000',
        strokeWidth: 2
    };
    for (k = 0; k < 5; k++) {
        r[k] = board.create('radicalaxis', [c[k], c[(k - 1 + 5) % 5]], attR);
    }
 </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, 5, -5],
    keepaspectratio: true
});
var A = [],
    s = [],
    B = [],
    c = [],
    r = [],
    k;

var attA = {
    name: '',
    strokeColor: '#7355ff',
    fillColor: '#7355ff'
};
A[0] = board.create('point', [2.5, -3], attA);
A[1] = board.create('point', [2, 4], attA);
A[2] = board.create('point', [-2.5, 3], attA);
A[3] = board.create('point', [-4, -2], attA);
A[4] = board.create('point', [0, -4], attA);

for (k = 0; k < 5; k++) {
    s[k] = board.create('segment', [A[k], A[(k + 2) % 5]], {
        strokeColor: 'blue',
        strokeWidth: 1
    });
}

var attB = {
    name: '',
    strokeColor: '#EA0000',
    fillColor: '#EA0000'
};
for (k = 0; k < 5; k++) {
    B[k] = board.create('intersection', [s[k], s[(k - 1 + 5) % 5], 0], attB);
}

var attC = {
    strokeColor: '#aaaaaa',
    strokeWidth: 1
};
for (k = 0; k < 5; k++) {
    c[k] = board.create('circle', [A[k], B[k], A[(k + 1) % 5]], attC);
}

var attR = {
    strokeColor: '#ff0000',
    strokeWidth: 2
};
for (k = 0; k < 5; k++) {
    r[k] = board.create('radicalaxis', [c[k], c[(k - 1 + 5) % 5]], attR);
}
<jsxgraph width="100%" aspect-ratio="1 / 1" title="A 5-circle incidence theorem" 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, 5, -5],
       keepaspectratio: true
   });
   var A = [],
       s = [],
       B = [],
       c = [],
       r = [],
       k;
   
   var attA = {
       name: '',
       strokeColor: '#7355ff',
       fillColor: '#7355ff'
   };
   A[0] = board.create('point', [2.5, -3], attA);
   A[1] = board.create('point', [2, 4], attA);
   A[2] = board.create('point', [-2.5, 3], attA);
   A[3] = board.create('point', [-4, -2], attA);
   A[4] = board.create('point', [0, -4], attA);
   
   for (k = 0; k < 5; k++) {
       s[k] = board.create('segment', [A[k], A[(k + 2) % 5]], {
           strokeColor: 'blue',
           strokeWidth: 1
       });
   }
   
   var attB = {
       name: '',
       strokeColor: '#EA0000',
       fillColor: '#EA0000'
   };
   for (k = 0; k < 5; k++) {
       B[k] = board.create('intersection', [s[k], s[(k - 1 + 5) % 5], 0], attB);
   }
   
   var attC = {
       strokeColor: '#aaaaaa',
       strokeWidth: 1
   };
   for (k = 0; k < 5; k++) {
       c[k] = board.create('circle', [A[k], B[k], A[(k + 1) % 5]], attC);
   }
   
   var attR = {
       strokeColor: '#ff0000',
       strokeWidth: 2
   };
   for (k = 0; k < 5; k++) {
       r[k] = board.create('radicalaxis', [c[k], c[(k - 1 + 5) % 5]], attR);
   }
</jsxgraph>

A 5-circle incidence theorem

Euclidean
Geometry
This is a visualization of *A 5-Circle Incidence Theorem* by J. Chris Fisher, Larry Hoehn and Eberhard. M. Schröder, [Mathematics Magazine, Volume 87, 2014 - Issue 1](https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20).
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5, 5, 5, -5],
    keepaspectratio: true
});
var A = [],
    s = [],
    B = [],
    c = [],
    r = [],
    k;

var attA = {
    name: '',
    strokeColor: '#7355ff',
    fillColor: '#7355ff'
};
A[0] = board.create('point', [2.5, -3], attA);
A[1] = board.create('point', [2, 4], attA);
A[2] = board.create('point', [-2.5, 3], attA);
A[3] = board.create('point', [-4, -2], attA);
A[4] = board.create('point', [0, -4], attA);

for (k = 0; k < 5; k++) {
    s[k] = board.create('segment', [A[k], A[(k + 2) % 5]], {
        strokeColor: 'blue',
        strokeWidth: 1
    });
}

var attB = {
    name: '',
    strokeColor: '#EA0000',
    fillColor: '#EA0000'
};
for (k = 0; k < 5; k++) {
    B[k] = board.create('intersection', [s[k], s[(k - 1 + 5) % 5], 0], attB);
}

var attC = {
    strokeColor: '#aaaaaa',
    strokeWidth: 1
};
for (k = 0; k < 5; k++) {
    c[k] = board.create('circle', [A[k], B[k], A[(k + 1) % 5]], attC);
}

var attR = {
    strokeColor: '#ff0000',
    strokeWidth: 2
};
for (k = 0; k < 5; k++) {
    r[k] = board.create('radicalaxis', [c[k], c[(k - 1 + 5) % 5]], attR);
}

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.