Difference between revisions of "Archimedean spiral"
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<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div> | <div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div> | ||
<script language="JavaScript"> | <script language="JavaScript"> | ||
− | + | var board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25}); | |
− | + | var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'}); | |
− | + | var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'}); | |
− | + | ||
+ | var c = board.create('curve', [function(phi){return a.Value()+b.Value()*phi; }, [0, 0],0, 8*Math.PI], | ||
{curveType:'polar', strokewidth:4}); | {curveType:'polar', strokewidth:4}); | ||
− | + | ||
− | + | var g = board.create('glider', [c]); | |
− | + | var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'}); | |
+ | var n = board.create('normal', [g], {dash:2,strokeColor:'#a612a9'}); | ||
</script> | </script> | ||
</html> | </html> | ||
Line 26: | Line 28: | ||
</source> | </source> | ||
<source lang="javascript"> | <source lang="javascript"> | ||
− | + | var board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25}); | |
− | + | var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'}); | |
− | + | var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'}); | |
− | + | ||
− | {curveType:'polar', strokewidth:4}); | + | var c = board.create('curve', [function(phi){return a.Value()+b.Value()*phi; }, [0, 0],0, 8*Math.PI], |
− | + | {curveType:'polar', strokewidth:4}); | |
− | + | ||
− | + | var g = board.create('glider', [c]); | |
+ | var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'}); | ||
+ | var n = board.create('normal', [g], {dash:2,strokeColor:'#a612a9'}); | ||
</source> | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Curves]] | [[Category:Curves]] |
Revision as of 15:32, 1 February 2010
It can be described in polar coordinates [math](r, \theta)[/math] by the equation
- [math]\, r=a+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/jsxgraphcore.js"></script>
<div id="jsxgbox" class="jxgbox" style="width:500px; height:500px;"></div>
var board = JXG.JSXGraph.initBoard('jsxgbox', {originX: 250, originY: 250, unitX: 25, unitY: 25});
var a = board.create('slider', [[1,8],[5,8],[0,1,4]],{name:'a'});
var b = board.create('slider', [[1,9],[5,9],[0,0.25,4]],{name:'b'});
var c = board.create('curve', [function(phi){return a.Value()+b.Value()*phi; }, [0, 0],0, 8*Math.PI],
{curveType:'polar', strokewidth:4});
var g = board.create('glider', [c]);
var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'});
var n = board.create('normal', [g], {dash:2,strokeColor:'#a612a9'});