Difference between revisions of "Logarithmic spiral"

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Line 4: Line 4:
  
 
with real numbers <math>a</math> and <math>b</math>.
 
with real numbers <math>a</math> and <math>b</math>.
<html>
+
<jsxgraph box="jsxgbox" width="500" height="500">
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
+
  board = JXG.JSXGraph.initBoard('jsxgbox', {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">
 
  board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
 
 
  var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'});
 
  var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'});
 
  var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]],{name:'b'});
 
  var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]],{name:'b'});
Line 17: Line 13:
 
  var t = board.createElement('tangent', [g], {dash:2,strokeColor:'#a612a9'});
 
  var t = board.createElement('tangent', [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">
  board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 50, unitY: 50});
+
  board = JXG.JSXGraph.initBoard('jsxgbox', {boundingbox: [-10, 10, 10, -10]});
 
  var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'});
 
  var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'});
 
  var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]],{name:'b'});
 
  var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]],{name:'b'});

Revision as of 10:44, 8 June 2011

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

[math]r = ae^{b\theta}\,[/math]

with real numbers [math]a[/math] and [math]b[/math].

The JavaScript code to produce this picture

 board = JXG.JSXGraph.initBoard('jsxgbox', {boundingbox: [-10, 10, 10, -10]});
 var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'});
 var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]],{name:'b'});
 var c = board.createElement('curve', [function(phi){return a.Value()*board.pow(Math.E,b.Value()*phi); }, [0, 0],0, 8*Math.PI],
             {curveType:'polar', strokewidth:4});        
 var g = board.createElement('glider', [c]);
 var t = board.createElement('tangent', [g], {dash:2,strokeColor:'#a612a9'});