Difference between revisions of "Lissajous curves"

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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 12:21, 6 March 2009

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

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