Elliptic curves: Difference between revisions
From JSXGraph Wiki
A WASSERMANN (talk | contribs) No edit summary |
A WASSERMANN (talk | contribs) No edit summary |
||
| Line 13: | Line 13: | ||
// | // | ||
var b = brd.createElement('slider',[[1,-3],[10,-3],[-10,1,10]],{name:'a'}); | var b = brd.createElement('slider',[[1,-3],[10,-3],[-10,1,10]],{name:'a'}); | ||
brd.createElement('text', | brd.createElement('text',[12,-3,'a']); | ||
var a = brd.createElement('slider',[[1,-4],[10,-4],[-10,1,10]],{name:'b'}); | var a = brd.createElement('slider',[[1,-4],[10,-4],[-10,1,10]],{name:'b'}); | ||
brd.createElement('text', | brd.createElement('text',[12,-4,'b']); | ||
brd.createElement('curve', [function(x){ return x; }, function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'}); | brd.createElement('curve', [function(x){ return x; }, function(x){ return Math.sqrt(x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'}); | ||
brd.createElement('curve', [function(x){ return x; }, function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'}); | brd.createElement('curve', [function(x){ return x; }, function(x){ return -Math.sqrt(x*x*x+a.Value()*x+b.Value()); }, 'x'], {strokeWidth:3,strokeColor:'black'}); | ||
Revision as of 18:14, 30 January 2009
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]
<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/prototype.js"></script>
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
<div id="jxgbox" class="jxgbox" style="width:600px; height:400px;"></div>
