Archimedean spiral

From JSXGraph Wiki
Revision as of 08:03, 18 March 2009 by A WASSERMANN (talk | contribs)

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

[math]\displaystyle{ \, r=a+b\theta }[/math]

with real numbers [math]\displaystyle{ a }[/math] and [math]\displaystyle{ b }[/math].

The JavaScript code to produce this picture

<link rel="stylesheet" type="text/css" href="" />
<script type="text/javascript" src=""></script>
<script type="text/javascript" src=""></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', [[1,8],[5,8],[0,1,4]]);
 var b = board.createElement('slider', [[1,9],[5,9],[0,0.25,4]]);
 var c = board.createElement('curve', [function(phi){return a.Value()+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'});
 var n = board.createElement('normal', [g], {dash:2,strokeColor:'#a612a9'});