Spirograph - geometric construction - Revision history

A WASSERMANN at 14:08, 14 December 2020

2020-12-14T14:08:07Z

A WASSERMANN at 13:58, 14 December 2020

2020-12-14T13:58:46Z

A WASSERMANN at 13:57, 14 December 2020

2020-12-14T13:57:08Z

← Older revision		Revision as of 13:57, 14 December 2020
Line 10:		Line 10:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~reflection~~',[g1, A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('mirrorelement',[g1, A],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

A WASSERMANN at 13:55, 14 December 2020

2020-12-14T13:55:23Z

← Older revision		Revision as of 13:55, 14 December 2020
Line 10:		Line 10:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('reflection',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		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 M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});

A WASSERMANN at 16:36, 19 July 2010

2010-07-19T16:36:18Z

← Older revision		Revision as of 16:36, 19 July 2010
Line 148:		Line 148:
	})();		})();
	</source>		</source>

			===Literatur===
			* W. Neidhardt, Ch. Wurm: ''Arbeitsbuch THALES, Geometrie mit dem Computer'', Dümmler-Verlag 1997. ISBN 3-427-45511-4

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Curves]]		[[Category:Curves]]
	[[Category:Geometry]]		[[Category:Geometry]]

A WASSERMANN: /* Fourfold speed */

2010-07-19T16:26:02Z

Fourfold speed

← Older revision		Revision as of 16:26, 19 July 2010
Line 120:		Line 120:

	var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});		var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
	var Cstern = brd.create('glider',[4,4,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});		var Cstern = brd.create('glider',[3,3,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
	})();		})();
	</jsxgraph>		</jsxgraph>
Line 145:		Line 145:

	var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});		var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
	var Cstern = brd.create('glider',[4,4,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});		var Cstern = brd.create('glider',[3,3,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
	})();		})();
	</source>		</source>

A WASSERMANN at 16:25, 19 July 2010

2010-07-19T16:25:13Z

← Older revision		Revision as of 16:25, 19 July 2010
Line 120:		Line 120:

	var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});		var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
	var Cstern = brd.create('glider',[2,2,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});		var Cstern = brd.create('glider',[4,4,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
	})();		})();
	</jsxgraph>		</jsxgraph>
Line 145:		Line 145:

	var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});		var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});
	var Cstern = brd.create('glider',[2,2,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});		var Cstern = brd.create('glider',[4,4,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
	})();		})();
	</source>		</source>

A WASSERMANN at 16:24, 19 July 2010

2010-07-19T16:24:23Z

← Older revision		Revision as of 16:24, 19 July 2010
Line 1:		Line 1:
	=== Double speed ===		=== Double speed ===
	The speed of <math>C</math> is ~~double~~ the speed of <math>B</math>.		The speed of <math>C</math> is twice the speed of <math>B</math>.
	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">
	(function() {		(function() {
Line 120:		Line 120:

	var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});		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'});		var Cstern = brd.create('glider',[2,2,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
	})();		})();
	</jsxgraph>		</jsxgraph>
Line 145:		Line 145:

	var g2 = brd.create('line',[M,Cprime], {strokeColor:'lightgray'});		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'});		var Cstern = brd.create('glider',[2,2,g2], {name:"C*", trace:true, fillColor:'green', strokeColor:'green'});
	})();		})();
	</source>		</source>

A WASSERMANN at 16:22, 19 July 2010

2010-07-19T16:22:41Z

← Older revision		Revision as of 16:22, 19 July 2010
Line 99:		Line 99:
	=== Fourfold speed ===		=== Fourfold speed ===
	The speed of <math>C_2</math> is four times the speed of <math>B</math>.		The speed of <math>C_2</math> is four times the speed of <math>B</math>.
	<jsxgraph width="600" height="600" box="~~jxgbox2~~">		<jsxgraph width="600" height="600" box="jxgbox3">
	(function() {		(function() {
	var brd = JXG.JSXGraph.initBoard('~~jxgbox2~~',{boundingbox:[-5,5,5,-5], keepaspectratio:true});		var brd = JXG.JSXGraph.initBoard('jxgbox3',{boundingbox:[-5,5,5,-5], keepaspectratio:true});

	var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});		var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});
Line 126:		Line 126:
	<source lang="javascript">		<source lang="javascript">
	(function() {		(function() {
	var brd = JXG.JSXGraph.initBoard('~~jxgbox2~~',{boundingbox:[-5,5,5,-5], keepaspectratio:true});		var brd = JXG.JSXGraph.initBoard('jxgbox3',{boundingbox:[-5,5,5,-5], keepaspectratio:true});

	var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});		var O = brd.create('point',[0,0],{name:'O',fixed:true, fillColor:'blue', strokeColor:'blue'});
Line 136:		Line 136:

	var g1a = brd.create('line',[O,C], {strokeColor:'lightgray'});		var g1a = brd.create('line',[O,C], {strokeColor:'lightgray'});
	var C2 = brd.create('reflection',[g1a,B],{name:'C_2', fillColor:'blue', strokeColor:'blue'});		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 M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});

A WASSERMANN at 16:22, 19 July 2010

2010-07-19T16:22:15Z

@@ Line 22: / Line 22: @@
 })();
 </jsxgraph>
 <source lang="javascript">
 (function() {
@@ Line 45: / Line 46: @@
 === 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">
 (function() {
@@ Line 70: / Line 71: @@
 })();
 </jsxgraph>
 <source lang="javascript">
 (function() {

← Older revision		Revision as of 14:08, 14 December 2020
Line 10:		Line 10:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~mirrorelement~~',[g1~~, A~~],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('reflection',[A, g1],{name:'C', fillColor:'blue', strokeColor:'blue'});

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 32:		Line 32:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~mirrorelement~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('reflection',[A, g1],{name:'C', fillColor:'blue', strokeColor:'blue'});

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 56:		Line 56:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~mirrorelement~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('reflection',[A, g1],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 81:		Line 81:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~mirrorelement~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('reflection',[A, g1],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 108:		Line 108:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~mirrorelement~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('reflection',[A,g1],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 133:		Line 133:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~mirrorelement~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('reflection',[A, g1],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

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

← Older revision		Revision as of 13:58, 14 December 2020
Line 32:		Line 32:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~reflection~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('mirrorelement',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 56:		Line 56:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~reflection~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('mirrorelement',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 81:		Line 81:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~reflection~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('mirrorelement',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 108:		Line 108:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~reflection~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('mirrorelement',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

	var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});		var M = brd.create('glider',[2,2,g1], {name:'M', fillColor:'red', strokeColor:'red'});
Line 133:		Line 133:
	var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});		var B = brd.create('glider',[0.7,1,k],{name:'B drag me'});
	var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});		var g1 = brd.create('line',[O,B], {strokeColor:'lightgray'});
	var C = brd.create('~~reflection~~',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});		var C = brd.create('mirrorelement',[g1,A],{name:'C', fillColor:'blue', strokeColor:'blue'});

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

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