Difference between revisions of "Arithmetics of complex numbers"

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Line 1: Line 1:
 +
===Addition of complex numbers===
 
<html>
 
<html>
 
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
 
<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/distrib/prototype.js"></script>
 
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>
 
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
 
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
<div id="box" class="jxgbox" style="width:600px; height:600px;"></div>
+
<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
 
<script language="JavaScript">
 
<script language="JavaScript">
 
         board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});
 
         board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});
Line 10: Line 11:
 
         b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
 
         b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
 
          
 
          
         var org = board.createElement('point', [0,0], {style:10,visible:true,fixed:true});
+
         var org = board.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
 
         var x = board.createElement('point', [2,2], {style:5,fillColor:'blue',name:'x'});
 
         var x = board.createElement('point', [2,2], {style:5,fillColor:'blue',name:'x'});
 
         var y = board.createElement('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
 
         var y = board.createElement('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
Line 25: Line 26:
  
 
<source lang="javascript">
 
<source lang="javascript">
 +
        board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});
 +
        // Axes
 +
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
 +
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
 +
       
 +
        var org = board.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
 +
        var x = board.createElement('point', [2,2], {style:5,fillColor:'blue',name:'x'});
 +
        var y = board.createElement('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
 +
        var xy = board.createElement('point',
 +
              ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
 +
        var ax =board.createElement('line', [org,x], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
 +
        var ay =board.createElement('line', [org,y], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
 +
        var axy =board.createElement('line', [org,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'red'});
 +
        var ax2 =board.createElement('line', [x,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});
 +
        var ay2 =board.createElement('line', [y,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});
 
</source>
 
</source>
 +
 +
===Multiplication of complex numbers===
 +
<html>
 +
<div id="box2" class="jxgbox" style="width:600px; height:400px;"></div>
 +
<script language="JavaScript">
 +
        board = JXG.JSXGraph.initBoard('box2', {originX: 250, originY: 250, unitX: 40, unitY: 40});
 +
        // Axes
 +
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
 +
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
 +
       
 +
        var org = board.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
 +
        var x = board.createElement('point', [1,1], {style:5,fillColor:'blue',name:'x'});
 +
        var y = board.createElement('point', [0,1], {style:5,fillColor:'blue',name:'y'});
 +
        var xy = board.createElement('point',
 +
              ["X(x)*X(y)-Y(x)*Y(y)","X(x)*Y(y)+X(y)*Y(x)"], {style:7,fillColor:'blue',name:'x+y'});
 +
       
 +
</script>
 +
</html>
 +
 +
<source lang="javascript">
 +
</source>
 +
  
  
 
[[Category:Examples]]
 
[[Category:Examples]]

Revision as of 00:35, 4 December 2008

Addition of complex numbers

        board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});
        // Axes
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
        
        var org = board.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
        var x = board.createElement('point', [2,2], {style:5,fillColor:'blue',name:'x'});
        var y = board.createElement('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
        var xy = board.createElement('point', 
              ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
        var ax =board.createElement('line', [org,x], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
        var ay =board.createElement('line', [org,y], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue'});
        var axy =board.createElement('line', [org,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'red'});
        var ax2 =board.createElement('line', [x,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});
        var ay2 =board.createElement('line', [y,xy], {straightFirst:false,straightLast:false,lastArrow:true,strokeColor:'blue',strokeWidth:1,dash:1});

Multiplication of complex numbers