Difference between revisions of "Euler line source code"

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Line 3: Line 3:
 
The final construction looks like this
 
The final construction looks like this
  
<jsxgraph width="600" height="600">
+
<jsxgraph width="400" height="400">
 
     var board = JXG.JSXGraph.initBoard('jxgbox', {
 
     var board = JXG.JSXGraph.initBoard('jxgbox', {
 
                     boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio:true
 
                     boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio:true
Line 127: Line 127:
 
</source>
 
</source>
 
<source lang="html4strict">
 
<source lang="html4strict">
 +
</script>
 +
</body>
 +
</html>               
 
</source>
 
</source>
  
 
===JessieCode code===
 
===JessieCode code===
 +
 +
The smae example with JessieCode:
 +
<source lang="html4strict">
 +
<html>
 +
<head>
 +
  <title>Euler line with JSXGraph</title>
 +
    <link rel="stylesheet" type="text/css"
 +
          href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
 +
    <script type="text/javascript"
 +
          src="http://jsxgraph.uni-bayreuth.de/latest/jsxgraphcore.js"></script>
 +
</head>
 +
<body>
 +
    ...
 +
<script type='text/jessiecode'>
 +
</source>
  
 
<source lang="javascript">
 
<source lang="javascript">
 +
$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);
 +
 +
// Circum circle and circum center
 +
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>
 +
</body>
 +
</html>               
 +
</source>
 +
<source lang="html4strict">
 
</script>
 
</script>
 
</body>
 
</body>

Revision as of 14:25, 25 October 2012

Here is the source code cited in the paper Interactive Geometry for the web and mobile devices by Matthias Ehmann, Michael Gerhäuser, Carsten Miller, Heiko Vogel, Alfred Wassermann (2012).

The final construction looks like this

JSXGraph code

<html>
<head>
   <title>Euler line with JSXGraph</title>
    <link rel="stylesheet" type="text/css" 
          href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
    <script type="text/javascript" 
          src="http://jsxgraph.uni-bayreuth.de/latest/jsxgraphcore.js"></script>
</head>
<body>
    ...
<div id="box_euler_line" class='jxgbox' style='width:600px; height:600px;'></div>
<script type='text/javascript'>
    var board = JXG.JSXGraph.initBoard('jxgbox', {
                    boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio:true
                });
            
    // Triangle ABC
    var A = board.create('point', [1, 0]),
        B = board.create('point', [-1, 0]),
        C = board.create('point', [0.2, 1.5]),
        pol = board.create('polygon',[A,B,C], {
            fillColor: '#FFFF00',
            borders: {
                strokeWidth: 2,
                strokeColor: '#009256'
            }
        });
 
    // Perpendiculars and orthocenter i1
    var pABC = board.create('perpendicular', [pol.borders[0], C]),
        pBCA = board.create('perpendicular', [pol.borders[1], A]),
        pCAB = board.create('perpendicular', [pol.borders[2], B]),
        i1 = board.create('intersection', [pABC, pCAB, 0]);

    // Midpoints of segments 
    var mAB = board.create('midpoint', [A, B]),
        mBC = board.create('midpoint', [B, C]),
        mCA = board.create('midpoint', [C, A]);
 
    // Line bisectors and and centroid i2
    var ma = board.create('segment', [mBC, A]),
        mb = board.create('segment', [mCA, B]),
        mc = board.create('segment', [mAB, C]),
        i2 = board.create('intersection', [ma, mc, 0]);
 
    // Circum circle and circum center
    var c = board.create('circumcircle', [A, B, C], {
            strokeColor: '#000000',
            dash: 3,
            strokeWidth: 1,
            center: {
                name: 'i_3',
                withlabel:true,
                visible: true
            }
        });
 
    // Euler line 
    var euler = board.create('line', [i1, i2], {
                    dash:1,
                    strokeWidth: 2,
                    strokeColor:'#901B77'
                });
</script>
</body>
</html>

JessieCode code

The smae example with JessieCode:

<html>
<head>
   <title>Euler line with JSXGraph</title>
    <link rel="stylesheet" type="text/css" 
          href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
    <script type="text/javascript" 
          src="http://jsxgraph.uni-bayreuth.de/latest/jsxgraphcore.js"></script>
</head>
<body>
    ...
<script type='text/jessiecode'>
$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);
 
// Circum circle and circum center
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>
</body>
</html>
</script>
</body>
</html>