Arithmetics of complex numbers - Revision history

A WASSERMANN at 09:51, 18 January 2021

2021-01-18T09:51:41Z

← Older revision		Revision as of 09:51, 18 January 2021
Line 38:		Line 38:
	var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,color:'green',name:'x+y'});		["X(x) + X(y)", "Y(x) + Y(y)"], {style:7,color:'green',name:'x+y'});
	var ax =board.create('arrow', [org,x], {strokeColor:'blue'});		var ax =board.create('arrow', [org, x], {strokeColor:'blue'});
	var ay =board.create('arrow', [org,y], {strokeColor:'blue'});		var ay =board.create('arrow', [org, y], {strokeColor:'blue'});
	var axy =board.create('arrow', [org,xy], {strokeColor:'red'});		var axy =board.create('arrow', [org, xy], {strokeColor:'red'});
	var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ax2 =board.create('arrow', [x, xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ay2 =board.create('arrow', [y, xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	</source>		</source>

Line 55:		Line 55:
	var y = brd2.create('point', [0,2], {style:4,color:'red',strokeColor:'red',name:'y'});		var y = brd2.create('point', [0,2], {style:4,color:'red',strokeColor:'red',name:'y'});
	var xy = brd2.create('point',		var xy = brd2.create('point',
	["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});		["X(x) * X(y) - Y(x) * Y(y)","X(x) * Y(y) + X(y) * Y(x)"], {style:7, fillColor:'green', strokeColor:'green', name:'x*y'});
	var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});		var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});
	</source>		</source>

A WASSERMANN at 09:21, 18 January 2021

2021-01-18T09:21:30Z

← Older revision		Revision as of 09:21, 18 January 2021
Line 7:		Line 7:
	var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,color:'green',name:'x+y'});		["X(x) + X(y)", "Y(x) + Y(y)"], {style:7,color:'green',name:'x+y'});
	var ax =board.create('arrow', [org,x], {strokeColor:'blue'});		var ax =board.create('arrow', [org, x], {strokeColor:'blue'});
	var ay =board.create('arrow', [org,y], {strokeColor:'blue'});		var ay =board.create('arrow', [org, y], {strokeColor:'blue'});
	var axy =board.create('arrow', [org,xy], {strokeColor:'red'});		var axy =board.create('arrow', [org, xy], {strokeColor:'red'});
	var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ax2 =board.create('arrow', [x, xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ay2 =board.create('arrow', [y, xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	</jsxgraph>		</jsxgraph>

Line 23:		Line 23:
	var y = brd2.create('point', [0,2], {style:4,color:'red',strokeColor:'red',name:'y'});		var y = brd2.create('point', [0,2], {style:4,color:'red',strokeColor:'red',name:'y'});
	var xy = brd2.create('point',		var xy = brd2.create('point',
	["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});		["X(x) * X(y) - Y(x) * Y(y)","X(x) * Y(y) + X(y) * Y(x)"], {style:7, fillColor:'green', strokeColor:'green', name:'x*y'});
	var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});		var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 15:43, 14 January 2012

2012-01-14T15:43:33Z

← Older revision		Revision as of 15:43, 14 January 2012
Line 7:		Line 7:
	var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,~~fillColor~~:'~~blue~~',name:'x+y'});		["X(x)+X(y)","Y(x)+Y(y)"], {style:7,color:'green',name:'x+y'});
	var ax =board.create('arrow', [org,x], {strokeColor:'blue'});		var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
	var ay =board.create('arrow', [org,y], {strokeColor:'blue'});		var ay =board.create('arrow', [org,y], {strokeColor:'blue'});
Line 38:		Line 38:
	var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,~~fillColor~~:'~~blue~~',name:'x+y'});		["X(x)+X(y)","Y(x)+Y(y)"], {style:7,color:'green',name:'x+y'});
	var ax =board.create('arrow', [org,x], {strokeColor:'blue'});		var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
	var ay =board.create('arrow', [org,y], {strokeColor:'blue'});		var ay =board.create('arrow', [org,y], {strokeColor:'blue'});

A WASSERMANN at 15:42, 14 January 2012

2012-01-14T15:42:31Z

Michael at 11:48, 7 June 2011

2011-06-07T11:48:16Z

Michael at 11:47, 7 June 2011

2011-06-07T11:47:16Z

Show changes

A WASSERMANN at 15:20, 29 October 2009

2009-10-29T15:20:16Z

← Older revision		Revision as of 15:20, 29 October 2009
Line 2:		Line 2:
	<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/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:400px;"></div>		<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>

A WASSERMANN at 12:38, 15 December 2008

2008-12-15T12:38:19Z

@@ Line 25: / Line 25: @@
 </html>
-=== References ===
+===Multiplication of complex numbers===
-* [http://en.wikipedia.org/wiki/Complex_numbers http://en.wikipedia.org/wiki/Complex_numbers]
+<html>
 === The underlying JavaScript code ===
 <source lang="javascript">
          board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});
@@ Line 48: / Line 65: @@
 </source>
-===Multiplication of complex numbers===
+Multiplication:
 <source lang="javascript">
@@ Line 79: / Line 80: @@
          var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1});
 </source>
 [[Category:Examples]]

A WASSERMANN at 12:37, 15 December 2008

2008-12-15T12:37:00Z

← Older revision		Revision as of 12:37, 15 December 2008
Line 24:		Line 24:
	</script>		</script>
	</html>		</html>

			=== References ===
			* [http://en.wikipedia.org/wiki/Complex_numbers http://en.wikipedia.org/wiki/Complex_numbers]

			=== The underlying JavaScript code ===

	<source lang="javascript">		<source lang="javascript">

A WASSERMANN at 14:00, 8 December 2008

2008-12-08T14:00:13Z

← Older revision		Revision as of 14:00, 8 December 2008
Line 53:		Line 53:

	var org2 = brd2.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org2 = brd2.createElement('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = brd2.createElement('point', [1,0], {style:4,fillColor:'blue',name:'x'~~,trace:true~~});		var x = brd2.createElement('point', [1,0], {style:4,fillColor:'blue',name:'x'});
	var y = brd2.createElement('point', [0,2], {style:4,fillColor:'red',strokeColor:'red',name:'y'~~,trace:true~~});		var y = brd2.createElement('point', [0,2], {style:4,fillColor:'red',strokeColor:'red',name:'y'});
	var xy = brd2.createElement('point',		var xy = brd2.createElement('point',
	["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'~~,trace:true~~});		["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});
	var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1});		var c = brd2.createElement('circle',[org2,1],{strokeWidth:1,dash:1});
	</script>		</script>

← Older revision		Revision as of 15:42, 14 January 2012
Line 4:		Line 4:

	var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = board.create('point', [2,2], {style:5,~~fillColor~~:'blue',name:'x'});		var x = board.create('point', [2,2], {style:5,color:'blue',name:'x'});
	var y = board.create('point', [-1,-3], {style:5,~~fillColor~~:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});		["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
Line 20:		Line 20:

	var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = brd2.create('point', [1,0], {style:4,~~fillColor~~:'blue',name:'x'});		var x = brd2.create('point', [1,0], {style:4,color:'blue',name:'x'});
	var y = brd2.create('point', [0,2], {style:4,~~fillColor~~:'red',strokeColor:'red',name:'y'});		var y = brd2.create('point', [0,2], {style:4,color:'red',strokeColor:'red',name:'y'});
	var xy = brd2.create('point',		var xy = brd2.create('point',
	["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});		["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});
Line 35:		Line 35:

	var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = board.create('point', [2,2], {style:5,~~fillColor~~:'blue',name:'x'});		var x = board.create('point', [2,2], {style:5,color:'blue',name:'x'});
	var y = board.create('point', [-1,-3], {style:5,~~fillColor~~:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,color:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});		["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
Line 52:		Line 52:

	var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = brd2.create('point', [1,0], {style:4,~~fillColor~~:'blue',name:'x'});		var x = brd2.create('point', [1,0], {style:4,color:'blue',name:'x'});
	var y = brd2.create('point', [0,2], {style:4,~~fillColor~~:'red',strokeColor:'red',name:'y'});		var y = brd2.create('point', [0,2], {style:4,color:'red',strokeColor:'red',name:'y'});
	var xy = brd2.create('point',		var xy = brd2.create('point',
	["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});		["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});

← Older revision		Revision as of 11:48, 7 June 2011
Line 1:		Line 1:
	===Addition of complex numbers===		===Addition of complex numbers===
	<jsxgraph box="box" width="600" height="400">		<jsxgraph box="box" width="600" height="400">
	board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});		board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});

	var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});		var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});
	var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});		["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
	var ax =board.create('arrow', [org,x], {strokeColor:'blue'});		var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
	var ay =board.create('arrow', [org,y], {strokeColor:'blue'});		var ay =board.create('arrow', [org,y], {strokeColor:'blue'});
	var axy =board.create('arrow', [org,xy], {strokeColor:'red'});		var axy =board.create('arrow', [org,xy], {strokeColor:'red'});
	var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	</jsxgraph>		</jsxgraph>

	===Multiplication of complex numbers===		===Multiplication of complex numbers===
	<jsxgraph box="box2" width="600" height="400">		<jsxgraph box="box2" width="600" height="400">
	brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});		brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});

	var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = brd2.create('point', [1,0], {style:4,fillColor:'blue',name:'x'});		var x = brd2.create('point', [1,0], {style:4,fillColor:'blue',name:'x'});
	var y = brd2.create('point', [0,2], {style:4,fillColor:'red',strokeColor:'red',name:'y'});		var y = brd2.create('point', [0,2], {style:4,fillColor:'red',strokeColor:'red',name:'y'});
	var xy = brd2.create('point',		var xy = brd2.create('point',
	["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});		["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});
	var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});		var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});
	</jsxgraph>		</jsxgraph>

Line 32:		Line 32:
	Addition:		Addition:
	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});		board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});

	var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});		var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});
	var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});		var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
	var xy = board.create('point',		var xy = board.create('point',
	["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});		["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
	var ax =board.create('arrow', [org,x], {strokeColor:'blue'});		var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
	var ay =board.create('arrow', [org,y], {strokeColor:'blue'});		var ay =board.create('arrow', [org,y], {strokeColor:'blue'});
	var axy =board.create('arrow', [org,xy], {strokeColor:'red'});		var axy =board.create('arrow', [org,xy], {strokeColor:'red'});
	var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});		var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
	</source>		</source>

Line 49:		Line 49:

	<source lang="javascript">		<source lang="javascript">
	brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});		brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});

	var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});		var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
	var x = brd2.create('point', [1,0], {style:5,fillColor:'blue',name:'x'~~,trace:true~~});		var x = brd2.create('point', [1,0], {style:4,fillColor:'blue',name:'x'});
	var y = brd2.create('point', [0,2], {style:5,fillColor:'red',strokeColor:'red',name:'y'~~,trace:true~~});		var y = brd2.create('point', [0,2], {style:4,fillColor:'red',strokeColor:'red',name:'y'});
	var xy = brd2.create('point',		var xy = brd2.create('point',
	["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'~~,trace:true~~});		["X(x)X(y)-Y(x)Y(y)","X(x)Y(y)+X(y)Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y'});
	var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});		var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});
	</source>		</source>