# Lituus: Difference between revisions

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A lituus is a spiral in which the angle is inversely proportional to the square of the radius (as expressed in polar coordinates). | |||

:<math>r^2\theta = k \,</math> | :<math>r^2\theta = k \,</math> | ||

Line 9: | Line 9: | ||

{curveType:'polar', strokewidth:4}); | {curveType:'polar', strokewidth:4}); | ||

</jsxgraph> | </jsxgraph> | ||

===The JavaScript code to produce this picture=== | |||

<source lang="xml"> | |||

<jsxgraph width="500" height="500" box="box1"> | |||

b1 = JXG.JSXGraph.initBoard('box1', {axis:true,originX: 250, originY: 250, unitX: 25, unitY: 25}); | |||

var k = b1.createElement('slider', [[1,8],[5,8],[0,1,4]]); | |||

var c = b1.createElement('curve', [function(phi){return Math.sqrt(k.Value()/phi); }, [0, 0],0, 8*Math.PI], | |||

{curveType:'polar', strokewidth:4}); | |||

</jsxgraph> | |||

</source> | |||

===External References=== | |||

* [http://en.wikipedia.org/wiki/Lituus_(mathematics) http://en.wikipedia.org/wiki/Lituus_(mathematics)] | |||

[[Category:Examples]] | [[Category:Examples]] | ||

[[Category:Curves]] | [[Category:Curves]] |

## Revision as of 08:08, 18 March 2009

A lituus is a spiral in which the angle is inversely proportional to the square of the radius (as expressed in polar coordinates).

- [math]\displaystyle{ r^2\theta = k \, }[/math]

### The JavaScript code to produce this picture

```
<jsxgraph width="500" height="500" box="box1">
b1 = JXG.JSXGraph.initBoard('box1', {axis:true,originX: 250, originY: 250, unitX: 25, unitY: 25});
var k = b1.createElement('slider', [[1,8],[5,8],[0,1,4]]);
var c = b1.createElement('curve', [function(phi){return Math.sqrt(k.Value()/phi); }, [0, 0],0, 8*Math.PI],
{curveType:'polar', strokewidth:4});
</jsxgraph>
```