Elliptic curves: Difference between revisions
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:<math> y^2=x^3+ax+b\,. </math> | :<math> y^2=x^3+ax+b\,. </math> | ||
<html> | <html> | ||
< | <jsxgraph width="600" height="400" box="box0"> | ||
JXG.Options.axis.strokeColor = '#cccccc'; | JXG.Options.axis.strokeColor = '#cccccc'; | ||
brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 20, unitY: 20, axis:true}); | brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 20, unitY: 20, axis:true}); | ||
| Line 17: | Line 14: | ||
{strokeWidth:3,strokeColor:'black'}); | {strokeWidth:3,strokeColor:'black'}); | ||
brd.unsuspendUpdate(); | brd.unsuspendUpdate(); | ||
</ | </jsxgraph> | ||
<source lang="javascript"> | <source lang="javascript"> | ||
JXG.Options.axis.strokeColor = '#cccccc'; | |||
JXG.Options.axis.strokeColor = '#cccccc'; | JXG.Options.axis.strokeColor = '#cccccc'; | ||
brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 20, unitY: 20, axis:true}); | brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 20, unitY: 20, axis:true}); | ||
Revision as of 11:03, 25 March 2011
An elliptic curve can be written as a plane algebraic curve defined by an equation of the form
- [math]\displaystyle{ y^2=x^3+ax+b\,. }[/math]
<html>
JXG.Options.axis.strokeColor = '#cccccc';
JXG.Options.axis.strokeColor = '#cccccc';
brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 200, unitX: 20, unitY: 20, axis:true});
brd.suspendUpdate();
var b = brd.create('slider',[[1,-3],[10,-3],[-10,0,10]],{name:'a'});
var a = brd.create('slider',[[1,-4],[10,-4],[-10,0,10]],{name:'b'});
var c1 = brd.create('functiongraph', [function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }],
{strokeWidth:3,strokeColor:'black'});
var c2 = brd.create('functiongraph', [function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }],
{strokeWidth:3,strokeColor:'black'});
brd.unsuspendUpdate();
