Difference between revisions of "Logarithmic spiral"
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var c = board.createElement('curve', [function(phi){return a.Value()*board.pow(Math.E,b.Value()*phi); }, [0, 0], 0, 8*Math.PI], | 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}); | {curveType:'polar', strokewidth:4}); | ||
− | var g = board.createElement('glider', [c]); | + | var g = board.createElement('glider', [-2,1,c]); |
var t = board.createElement('tangent', [g], {dash:2,strokeColor:'#a612a9'}); | var t = board.createElement('tangent', [g], {dash:2,strokeColor:'#a612a9'}); | ||
Revision as of 17:30, 10 March 2009
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
<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', [[1,-1],[5,-1],[0,0.3,1]]);
var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]]);
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});