Lissajous curves: Difference between revisions

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<jsxgraph board="brd" width="600" height="500">
<jsxgraph board="brd" width="600" height="500">
var brd = JXG.JSXGraph.initBoard('jxgbox',{axis:true,originX:300,originY:250,unitX:30,unitY:30});
var brd = JXG.JSXGraph.initBoard('jxgbox',{axis:true,originX:300,originY:250,unitX:30,unitY:30});
var a = brd.createElement('slider',[[2,8],[6,8],[0,3,6]]); brd.createElement('text',[1,8,'a']);
var a = brd.createElement('slider',[[2,8],[6,8],[0,3,6]]); brd.createElement('text',[1,8,'a:']);
var b = brd.createElement('slider',[[2,7],[6,7],[0,2,6]]); brd.createElement('text',[1,7,'b']);
var b = brd.createElement('slider',[[2,7],[6,7],[0,2,6]]); brd.createElement('text',[1,7,'b:']);
var A = brd.createElement('slider',[[2,6],[6,6],[0,3,6]]); brd.createElement('text',[1,6,'A']);
var A = brd.createElement('slider',[[2,6],[6,6],[0,3,6]]); brd.createElement('text',[1,6,'A:']);
var B = brd.createElement('slider',[[2,5],[6,5],[0,3,6]]); brd.createElement('text',[1,5,'B']);
var B = brd.createElement('slider',[[2,5],[6,5],[0,3,6]]); brd.createElement('text',[1,5,'B:']);
var delta = brd.createElement('slider',[[2,4],[6,4],[0,0,Math.PI]]); brd.createElement('text',[1,4,'&delta;']);
var delta = brd.createElement('slider',[[2,4],[6,4],[0,0,Math.PI]]); brd.createElement('text',[1,4,'&delta;:']);


var c = brd.createElement('curve',[
var c = brd.createElement('curve',[
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           0, 2*Math.PI],{strokeColor:'#aa2233',strokeWidth:3});
           0, 2*Math.PI],{strokeColor:'#aa2233',strokeWidth:3});
</jsxgraph>
</jsxgraph>
[[Category:Examples]]
[[Category:Examples]]
[[Category:Curves]]
[[Category:Curves]]

Revision as of 10:21, 6 March 2009

Lissajous curve (Lissajous figure or Bowditch curve) is the graph of the system of parametric equations

[math]\displaystyle{ x=A\sin(at+\delta),\quad y=B\sin(bt). }[/math]