Archimedean spiral - Revision history

Michael at 11:35, 7 June 2011

2011-06-07T11:35:02Z

← Older revision		Revision as of 11:35, 7 June 2011
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	with real numbers <math>a</math> and <math>b</math>.		with real numbers <math>a</math> and <math>b</math>.
	<~~html>~~		<jsxgraph height="500" width="500" box="jxgbox">
	~~<link rel="stylesheet" type="text/css" href="http://~~jsxgraph~~.uni-bayreuth.de/distrib/jsxgraph.css" />~~		var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-10, 10, 10, -10]});
	~~<script type~~="~~text/javascript~~" ~~src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>~~
	~~<div id~~="~~jsxgbox~~" ~~class~~="jxgbox" ~~style="width:500px; height:500px;"></div~~>
	~~<script language="JavaScript">~~
	var board = JXG.JSXGraph.initBoard('~~jsxgbox~~', {~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 25~~, ~~unitY: 25~~});
	var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});		var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});
	var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});		var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});
Line 19:		Line 15:
	var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'});		var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'});
	var n = board.create('normal', [g], {dash:2,strokeColor:'#a612a9'});		var n = board.create('normal', [g], {dash:2,strokeColor:'#a612a9'});
	</~~script~~>		</jsxgraph>
	~~</html>~~
	===The JavaScript code to produce this picture===		===The JavaScript code to produce this picture===
	~~<source lang="html4strict">~~
	~~<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/jsxgraphcore.js"></script>~~
	~~<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>~~
	~~</source>~~
	<source lang="javascript">		<source lang="javascript">
	var board = JXG.JSXGraph.initBoard('~~jsxgbox~~', {~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 25~~, ~~unitY: 25~~});		var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-10, 10, 10, -10]});
	var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});		var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});
	var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});		var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});

A WASSERMANN at 13:32, 1 February 2010

2010-02-01T13:32:21Z

← Older revision		Revision as of 13:32, 1 February 2010
Line 9:		Line 9:
	<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>		<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
	<script language="JavaScript">		<script language="JavaScript">
	board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});		var board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
	var a = board.~~createElement~~('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});		var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});
	var b = board.~~createElement~~('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});		var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});
	var c = board.~~createElement~~('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
			var c = board.create('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:4});
	var g = board.~~createElement~~('glider', [c]);
	var t = board.~~createElement~~('tangent', [g], {dash:2,strokeColor:'#a612a9'});		var g = board.create('glider', [c]);
	var n = board.~~createElement~~('normal', [g], {dash:2,strokeColor:'#a612a9'});		var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'});
			var n = board.create('normal', [g], {dash:2,strokeColor:'#a612a9'});
	</script>		</script>
	</html>		</html>
Line 26:		Line 28:
	</source>		</source>
	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});		var board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
	var a = board.~~createElement~~('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});		var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});
	var b = board.~~createElement~~('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});		var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});
	var c = board.~~createElement~~('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
	{curveType:'polar', strokewidth:4});		var c = board.create('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
	var g = board.~~createElement~~('glider', [c]);		{curveType:'polar', strokewidth:4});
	var t = board.~~createElement~~('tangent', [g], {dash:2,strokeColor:'#a612a9'});
	var n = board.~~createElement~~('normal', [g], {dash:2,strokeColor:'#a612a9'});		var g = board.create('glider', [c]);
			var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'});
			var n = board.create('normal', [g], {dash:2,strokeColor:'#a612a9'});
	</source>		</source>

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Curves]]		[[Category:Curves]]

A WASSERMANN at 15:18, 29 October 2009

2009-10-29T15:18:19Z

← Older revision		Revision as of 15:18, 29 October 2009
Line 6:		Line 6:
	<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="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>		<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
Line 23:		Line 22:
	<source lang="html4strict">		<source lang="html4strict">
	<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="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>		<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>

A WASSERMANN at 16:22, 21 October 2009

2009-10-21T16:22:55Z

← Older revision		Revision as of 16:22, 21 October 2009
Line 1:		Line 1:

	~~<html>~~
	~~<script type="text/javascript" src="http://moodle.alaskapolicy.net/lib/editor/common/asciimath/ASCIIMathML.js"></script>~~

	~~</html>~~
	It can be described in polar coordinates <math>(r, \theta)</math> by the equation		It can be described in polar coordinates <math>(r, \theta)</math> by the equation

A WASSERMANN at 16:22, 21 October 2009

2009-10-21T16:22:29Z

← Older revision		Revision as of 16:22, 21 October 2009
Line 1:		Line 1:

			<html>
			<script type="text/javascript" src="http://moodle.alaskapolicy.net/lib/editor/common/asciimath/ASCIIMathML.js"></script>

			</html>
	It can be described in polar coordinates <math>(r, \theta)</math> by the equation		It can be described in polar coordinates <math>(r, \theta)</math> by the equation

A WASSERMANN at 09:57, 2 July 2009

2009-07-02T09:57:10Z

A WASSERMANN at 09:56, 2 July 2009

2009-07-02T09:56:36Z

A WASSERMANN at 12:31, 20 March 2009

2009-03-20T12:31:26Z

← Older revision		Revision as of 12:31, 20 March 2009
Line 7:		Line 7:
	<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/~~~alfred~~/~~jsxgraph/branches/0.70/src/loadjsxgraph~~.js"></script>		<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
	<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>		<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
	<script language="JavaScript">		<script language="JavaScript">

A WASSERMANN at 12:16, 20 March 2009

2009-03-20T12:16:11Z

← Older revision		Revision as of 12:16, 20 March 2009
Line 7:		Line 7:
	<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/~alfred/jsxgraph/branches/0.70/~~distrib~~/~~jsxgraphcore~~.js"></script>		<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/~alfred/jsxgraph/branches/0.70/src/loadjsxgraph.js"></script>
	<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>		<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
	<script language="JavaScript">		<script language="JavaScript">

A WASSERMANN at 12:15, 20 March 2009

2009-03-20T12:15:05Z

← Older revision		Revision as of 12:15, 20 March 2009
Line 7:		Line 7:
	<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/~alfred/jsxgraph/branches/0.70/distrib/jsxgraphcore.js"></script>
	<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>		<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
	<script language="JavaScript">		<script language="JavaScript">

← Older revision		Revision as of 09:57, 2 July 2009
Line 11:		Line 11:
	<script language="JavaScript">		<script language="JavaScript">
	board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});		board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
	var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]],{name:a});		var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});
	var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]],{name:b});		var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});
	var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],		var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:4});
Line 29:		Line 29:
	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});		board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});
	var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]],{name:a});		var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});
	var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]],{name:b});		var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});
	var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],		var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:4});

← Older revision		Revision as of 09:56, 2 July 2009
Line 11:		Line 11:
	<script language="JavaScript">		<script language="JavaScript">
	board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});		board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
	var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]]);		var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]],{name:a});
	var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]]);		var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]],{name:b});
	var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],		var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:4});
Line 29:		Line 29:
	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});		board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});
	var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]]);		var a = board.createElement('slider', [[1,8],[5,8],[0,1,4]],{name:a});
	var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]]);		var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]],{name:b});
	var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],		var c = board.createElement('curve', [function(phi){return a.Value()+b.Value()phi; }, [0, 0],0, 8Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:4});