Difference between revisions of "Logarithmic spiral"
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with real numbers <math>a</math> and <math>b</math>. | with real numbers <math>a</math> and <math>b</math>. | ||
| − | < | + | <jsxgraph box="jsxgbox" width="500" height="500"> |
| − | + | board = JXG.JSXGraph.initBoard('jsxgbox', {boundingbox: [-10, 10, 10, -10]}); | |
| − | + | var a = board.create('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'}); | |
| − | + | var b = board.create('slider', [[1,-2],[5,-2],[-1,0.15,1]],{name:'b'}); | |
| − | + | var c = board.create('curve', [function(phi){return a.Value()*Math.exp(b.Value()*phi); }, [0, 0], 0, 8*Math.PI], | |
| − | |||
| − | board = JXG.JSXGraph.initBoard('jsxgbox', { | ||
| − | var a = board. | ||
| − | var b = board. | ||
| − | var c = board. | ||
{curveType:'polar', strokewidth:4}); | {curveType:'polar', strokewidth:4}); | ||
| − | </ | + | var g = board.create('glider', [c]); |
| − | + | var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'}); | |
| + | |||
| + | </jsxgraph> | ||
| + | |||
===The JavaScript code to produce this picture=== | ===The JavaScript code to produce this picture=== | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
<source lang="javascript"> | <source lang="javascript"> | ||
| − | board = JXG.JSXGraph.initBoard('jsxgbox', { | + | board = JXG.JSXGraph.initBoard('jsxgbox', {boundingbox: [-10, 10, 10, -10]}); |
| − | var a = board. | + | var a = board.create('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'}); |
| − | var b = board. | + | var b = board.create('slider', [[1,-2],[5,-2],[-1,0.15,1]],{name:'b'}); |
| − | var c = board. | + | var c = board.create('curve', [function(phi){return a.Value()*JXG.Math.pow(Math.E,b.Value()*phi); }, [0, 0],0, 8*Math.PI], |
{curveType:'polar', strokewidth:4}); | {curveType:'polar', strokewidth:4}); | ||
| + | var g = board.create('glider', [c]); | ||
| + | var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'}); | ||
</source> | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Curves]] | [[Category:Curves]] | ||
Latest revision as of 14:50, 28 June 2019
It can be described in polar coordinates [math](r, \theta)[/math] by the equation
- [math]r = ae^{b\theta}\,[/math]
with real numbers [math]a[/math] and [math]b[/math].
The JavaScript code to produce this picture
board = JXG.JSXGraph.initBoard('jsxgbox', {boundingbox: [-10, 10, 10, -10]});
var a = board.create('slider', [[1,-1],[5,-1],[0,0.3,1]],{name:'a'});
var b = board.create('slider', [[1,-2],[5,-2],[-1,0.15,1]],{name:'b'});
var c = board.create('curve', [function(phi){return a.Value()*JXG.Math.pow(Math.E,b.Value()*phi); }, [0, 0],0, 8*Math.PI],
{curveType:'polar', strokewidth:4});
var g = board.create('glider', [c]);
var t = board.create('tangent', [g], {dash:2,strokeColor:'#a612a9'});
