Difference between revisions of "Hyperbolic spiral"

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Line 12: Line 12:
 
  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', [[0,5],[8,5],[0,4,30]]);
 
  var a = board.createElement('slider', [[0,5],[8,5],[0,4,30]]);
  var c = board.createElement('curve', [function(phi){return a.Value()/phi; }, [0, 0],'phi',0, 8*Math.PI],
+
  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>  
 
</script>  
Line 26: Line 26:
 
  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', [[0,5],[8,5],[0,4,30]]);
 
  var a = board.createElement('slider', [[0,5],[8,5],[0,4,30]]);
  var c = board.createElement('curve', [function(phi){return a.Value()/phi; }, [0, 0],'phi',0, 8*Math.PI],
+
  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});         
 
</source>
 
</source>

Revision as of 13:47, 10 March 2009

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

<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>
<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
 board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});
 var a = board.createElement('slider', [[0,5],[8,5],[0,4,30]]);
 var c = board.createElement('curve', [function(phi){return a.Value()/phi; }, [0, 0],0, 8*Math.PI],
             {curveType:'polar', strokewidth:4});