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Euler line: JessieCode
Show plain example
QR code
<iframe 
    src="https://www.jsxgraph.org/share/iframe/euler-line-jessiecode" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Euler line: JessieCode" 
    allowfullscreen
></iframe>
This code has to
<script type="text/jessiecode" width="600px" height="600px" axis="true">
$board.setView([-1.5, 2, 1.5, -1]);

// Triangle ABC
A = point(1, 0);
B = point(-1, 0);
C = point(0.2, 1.5);
pol = polygon(A,B,C) <<
        fillColor: '#FFFF00',
        borders: <<
            strokeWidth: 2,
            strokeColor: '#009256'
        >>
    >>;
 
// Perpendiculars and orthocenter i1
pABC = perpendicular(pol.borders[0], C);
pBCA = perpendicular(pol.borders[1], A);
pCAB = perpendicular(pol.borders[2], B);
i1 = intersection(pABC, pCAB, 0);

// Midpoints of segments
mAB = midpoint(A, B);
mBC = midpoint(B, C);
mCA = midpoint(C, A);
 
// Line bisectors and centroid i2
ma = segment(mBC, A);
mb = segment(mCA, B);
mc = segment(mAB, C);
i2 = intersection(ma, mc, 0);
 
// Circumcircle and circumcenter
c = circumcircle(A, B, C) <<
        strokeColor: '#000000',
        dash: 3,
        strokeWidth: 1,
        center: <<
            name: 'i_3',
            withlabel:true,
            visible: true
        >>
    >>;
 
// Euler line 
euler = line(i1, i2) <<
        dash:1,
        strokeWidth: 2,
        strokeColor:'#901B77'
    >>;
</script>

<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100px;" 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';

    // Dummy example, please ignore
    const board = JXG.JSXGraph.initBoard(BOARDID, {
        boundingbox: [-5, 5, 5, -5]
    });
    
 </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!

// Dummy example, please ignore
const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5, 5, 5, -5]
});

Euler line: JessieCode

Euclidean
Geometry
JessieCode
Euler line with JessieCode
Web references
  • Wikipedia article on Euler line
<script type="text/jessiecode" width="600px" height="600px" axis="true">
$board.setView([-1.5, 2, 1.5, -1]);

// Triangle ABC
A = point(1, 0);
B = point(-1, 0);
C = point(0.2, 1.5);
pol = polygon(A,B,C) <<
        fillColor: '#FFFF00',
        borders: <<
            strokeWidth: 2,
            strokeColor: '#009256'
        >>
    >>;
 
// Perpendiculars and orthocenter i1
pABC = perpendicular(pol.borders[0], C);
pBCA = perpendicular(pol.borders[1], A);
pCAB = perpendicular(pol.borders[2], B);
i1 = intersection(pABC, pCAB, 0);

// Midpoints of segments
mAB = midpoint(A, B);
mBC = midpoint(B, C);
mCA = midpoint(C, A);
 
// Line bisectors and centroid i2
ma = segment(mBC, A);
mb = segment(mCA, B);
mc = segment(mAB, C);
i2 = intersection(ma, mc, 0);
 
// Circumcircle and circumcenter
c = circumcircle(A, B, C) <<
        strokeColor: '#000000',
        dash: 3,
        strokeWidth: 1,
        center: <<
            name: 'i_3',
            withlabel:true,
            visible: true
        >>
    >>;
 
// Euler line 
euler = line(i1, i2) <<
        dash:1,
        strokeWidth: 2,
        strokeColor:'#901B77'
    >>;
</script>
// Define the id of your board in BOARDID

// Dummy example, please ignore
const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5, 5, 5, -5]
});

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.