Difference between revisions of "Hyperbolic spiral"

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Line 4: Line 4:
  
 
with a real number <math>a</math>.
 
with a real number <math>a</math>.
<html>
+
<jsxgraph width="500" height="500">
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
+
  var board = JXG.JSXGraph.initBoard('jxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
+
  var a = board.create('slider', [[0,5],[8,5],[0,4,30]],{name:'a'});
<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
+
  var c = board.create('curve', [function(phi){return a.Value()/phi; }, [0, 0],0, 8*Math.PI],
<script language="JavaScript">
 
  board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
 
  var a = board.createElement('slider', [[0,5],[8,5],[0,4,30]],{name:'a'});
 
  var c = board.createElement('curve', [function(phi){return a.Value()/phi; }, [0, 0],0, 8*Math.PI],
 
 
             {curveType:'polar', strokewidth:4});         
 
             {curveType:'polar', strokewidth:4});         
</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">
  board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});
+
  var board = JXG.JSXGraph.initBoard('jxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});
  var a = board.createElement('slider', [[0,5],[8,5],[0,4,30]],{name:'a'});
+
  var a = board.create('slider', [[0,5],[8,5],[0,4,30]],{name:'a'});
  var c = board.createElement('curve', [function(phi){return a.Value()/phi; }, [0, 0],0, 8*Math.PI],
+
  var c = board.create('curve', [function(phi){return a.Value()/phi; }, [0, 0],0, 8*Math.PI],
 
             {curveType:'polar', strokewidth:4});         
 
             {curveType:'polar', strokewidth:4});         
 
</source>
 
</source>

Revision as of 21:52, 29 September 2010

It can be described in polar coordinates [math](r, \theta)[/math] by the equation

[math]r = \frac{a}{\theta}\,[/math]

with a real number [math]a[/math].

The JavaScript code to produce this picture

 var board = JXG.JSXGraph.initBoard('jxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});
 var a = board.create('slider', [[0,5],[8,5],[0,4,30]],{name:'a'});
 var c = board.create('curve', [function(phi){return a.Value()/phi; }, [0, 0],0, 8*Math.PI],
             {curveType:'polar', strokewidth:4});