Difference between revisions of "Spirograph - geometric construction"

From JSXGraph Wiki
Jump to navigationJump to search
Line 22: Line 22:
 
})();
 
})();
 
</jsxgraph>
 
</jsxgraph>
 +
====The JavaScript code====
 
<source lang="javascript">
 
<source lang="javascript">
 
(function() {
 
(function() {
Line 45: Line 46:
  
 
=== Threefold speed ===
 
=== Threefold speed ===
The speed of <math>C_2</math> is double the speed of <math>B</math>.
+
The speed of <math>C_2</math> is three times the speed of <math>B</math>.
 
<jsxgraph width="600" height="600" box="jxgbox2">
 
<jsxgraph width="600" height="600" box="jxgbox2">
 
(function() {
 
(function() {
Line 70: Line 71:
 
})();
 
})();
 
</jsxgraph>
 
</jsxgraph>
 +
====The JavaScript code====
 +
<source lang="javascript">
 +
(function() {
 +
var brd = JXG.JSXGraph.initBoard('jxgbox2',{boundingbox:[-5,5,5,-5], keepaspectratio:true});
 +
 +
var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});
 +
var A = brd.create('point',[2,0],{name:'A'});
 +
var k = brd.create('circle',[O,A],{name:'k'});
 +
var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
 +
var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
 +
var C = brd.create('reflection',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});
 +
 +
var g1a = brd.create('line',[O,C], {strokeColor:'lightgray'});
 +
var C2 = brd.create('reflection',[g1a,B],{name:'C_2', fillColor:'blue', strokeColor:'blue'});
 +
 +
var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
 +
var k2 = brd.create('circle',[M,B],{name:'k'}); 
 +
 +
var gpar = brd.create('parallel',[O,C2,M], {name:"g", strokeColor:'lightgray'});
 +
var Cprime = brd.create('intersection',[gpar,k2,0], {name:"C'", fillColor:'blue', strokeColor:'blue'});
 +
 +
var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
 +
var Cstern = brd.create('glider',[1,1,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
 +
})();
 +
</source>
 +
 +
=== Fourfold speed ===
 +
The speed of <math>C_2</math> is four times the speed of <math>B</math>.
 +
<jsxgraph width="600" height="600" box="jxgbox2">
 +
(function() {
 +
var brd = JXG.JSXGraph.initBoard('jxgbox2',{boundingbox:[-5,5,5,-5], keepaspectratio:true});
 +
 +
var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});
 +
var A = brd.create('point',[2,0],{name:'A'});
 +
var k = brd.create('circle',[O,A],{name:'k'});
 +
var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
 +
var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
 +
var C = brd.create('reflection',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});
 +
 +
var g1a = brd.create('line',[O,C], {strokeColor:'lightgray'});
 +
var C2 = brd.create('reflection',[g1a,A],{name:'C_2', fillColor:'blue', strokeColor:'blue'});
 +
 +
var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
 +
var k2 = brd.create('circle',[M,B],{name:'k'}); 
 +
 +
var gpar = brd.create('parallel',[O,C2,M], {name:"g", strokeColor:'lightgray'});
 +
var Cprime = brd.create('intersection',[gpar,k2,0], {name:"C'", fillColor:'blue', strokeColor:'blue'});
 +
 +
var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
 +
var Cstern = brd.create('glider',[1,1,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
 +
})();
 +
</jsxgraph>
 +
====The JavaScript code====
 
<source lang="javascript">
 
<source lang="javascript">
 
(function() {
 
(function() {

Revision as of 18:22, 19 July 2010

Double speed

The speed of [math]C[/math] is double the speed of [math]B[/math].

The JavaScript code

(function() {
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5], keepaspectratio:true});

var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});
var A = brd.create('point',[2,0],{name:'A'});
var k = brd.create('circle',[O,A],{name:'k'});
var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
var C = brd.create('reflection',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
var k2 = brd.create('circle',[M,B],{name:'k'});  

var gpar = brd.create('parallel',[O,C,M], {name:"g", strokeColor:'lightgray'});
var Cprime = brd.create('intersection',[gpar,k2,0], {name:"C'", fillColor:'blue', strokeColor:'blue'});

var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
var Cstern = brd.create('glider',[1,1,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
})();

Threefold speed

The speed of [math]C_2[/math] is three times the speed of [math]B[/math].

The JavaScript code

(function() {
var brd = JXG.JSXGraph.initBoard('jxgbox2',{boundingbox:[-5,5,5,-5], keepaspectratio:true});

var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});
var A = brd.create('point',[2,0],{name:'A'});
var k = brd.create('circle',[O,A],{name:'k'});
var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
var C = brd.create('reflection',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

var g1a = brd.create('line',[O,C], {strokeColor:'lightgray'});
var C2 = brd.create('reflection',[g1a,B],{name:'C_2', fillColor:'blue', strokeColor:'blue'});

var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
var k2 = brd.create('circle',[M,B],{name:'k'});  

var gpar = brd.create('parallel',[O,C2,M], {name:"g", strokeColor:'lightgray'});
var Cprime = brd.create('intersection',[gpar,k2,0], {name:"C'", fillColor:'blue', strokeColor:'blue'});

var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
var Cstern = brd.create('glider',[1,1,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
})();

Fourfold speed

The speed of [math]C_2[/math] is four times the speed of [math]B[/math].

The JavaScript code

(function() {
var brd = JXG.JSXGraph.initBoard('jxgbox2',{boundingbox:[-5,5,5,-5], keepaspectratio:true});

var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});
var A = brd.create('point',[2,0],{name:'A'});
var k = brd.create('circle',[O,A],{name:'k'});
var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
var C = brd.create('reflection',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

var g1a = brd.create('line',[O,C], {strokeColor:'lightgray'});
var C2 = brd.create('reflection',[g1a,B],{name:'C_2', fillColor:'blue', strokeColor:'blue'});

var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
var k2 = brd.create('circle',[M,B],{name:'k'});  

var gpar = brd.create('parallel',[O,C2,M], {name:"g", strokeColor:'lightgray'});
var Cprime = brd.create('intersection',[gpar,k2,0], {name:"C'", fillColor:'blue', strokeColor:'blue'});

var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
var Cstern = brd.create('glider',[1,1,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
})();