Lissajous curves: Difference between revisions
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Lissajous curve (Lissajous figure or Bowditch curve) is the graph of the system of parametric equations | 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>x=A\sin(at+\delta),\quad y=B\sin(bt).</math> | ||
<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: | 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']); | ||
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function(t){return A.Value()*Math.sin(a.Value()*t+delta.Value());}, | function(t){return A.Value()*Math.sin(a.Value()*t+delta.Value());}, | ||
function(t){return B.Value()*Math.sin(b.Value()*t);}, | function(t){return B.Value()*Math.sin(b.Value()*t);}, | ||
0, 2*Math.PI]); | 0, 2*Math.PI],{strokeColor:'#aa2233',strokeWidth:3}); | ||
</jsxgraph> | </jsxgraph> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Curves]] | [[Category:Curves]] | ||
Revision as of 10:20, 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]
