A 5-circle incidence theorem - Revision history

A WASSERMANN at 12:30, 13 August 2019

2019-08-13T12:30:45Z

← Older revision		Revision as of 12:30, 13 August 2019
Line 1:		Line 1:
	This is a visualization of ''A 5-Circle Incidence Theorem'' by J. Chris Fisher, Larry Hoehn and Eberhard. M. ~~Schroeder~~,		This is a visualization of ''A 5-Circle Incidence Theorem'' by J. Chris Fisher, Larry Hoehn and Eberhard. M. Schröder,
	[https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20 Mathematics Magazine, Volume 87, 2014 - Issue 1].		[https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20 Mathematics Magazine, Volume 87, 2014 - Issue 1].
	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">

A WASSERMANN at 12:27, 13 August 2019

2019-08-13T12:27:06Z

@@ Line 1: / Line 1: @@
 This is a visualization of ''A 5-Circle Incidence Theorem'' by J. Chris Fisher, Larry Hoehn and Eberhard. M. Schroeder,
-[https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20 Mathematics Magazine, Volume 87, 2014 - Issue 1]
+[https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20 Mathematics Magazine, Volume 87, 2014 - Issue 1].
 <jsxgraph width="600" height="600">
 var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
@@ Line 30: / Line 30: @@
     r[k] = board.create('radicalaxis', [c[k], c[(k-1+5)%5]], attR);
+}
-</jsxgraph>
+[[Category:Examples]]

A WASSERMANN at 12:25, 13 August 2019

2019-08-13T12:25:58Z

← Older revision		Revision as of 12:25, 13 August 2019
Line 1:		Line 1:
	This is a visualization of ''A 5-Circle Incidence Theorem'' by J. Chris Fisher, Larry Hoehn and Eberhard. M. Schroeder,		This is a visualization of ''A 5-Circle Incidence Theorem'' by J. Chris Fisher, Larry Hoehn and Eberhard. M. Schroeder,
	[~~Mathematics Magazine, Volume 87, 2014 - Issue 1](~~https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20)		[https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20 Mathematics Magazine, Volume 87, 2014 - Issue 1]
	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">
	var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});		var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});

A WASSERMANN at 12:24, 13 August 2019

2019-08-13T12:24:03Z

← Older revision		Revision as of 12:24, 13 August 2019
Line 1:		Line 1:
			This is a visualization of ''A 5-Circle Incidence Theorem'' by J. Chris Fisher, Larry Hoehn and Eberhard. M. Schroeder,
			[Mathematics Magazine, Volume 87, 2014 - Issue 1](https://www.tandfonline.com/doi/abs/10.4169/math.mag.87.1.44?journalCode=umma20)
	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">
	var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});		var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
Line 4:		Line 6:

	var attA = {name:'',strokeColor: '#7355ff', fillColor: '#7355ff'};		var attA = {name:'',strokeColor: '#7355ff', fillColor: '#7355ff'};
	~~attA.name = "0";~~
	A[0] = board.create('point', [2.5, -3], attA);		A[0] = board.create('point', [2.5, -3], attA);
	~~attA.name = "1";~~
	A[1] = board.create('point', [2, 4], attA);		A[1] = board.create('point', [2, 4], attA);
	~~attA.name = "2";~~
	A[2] = board.create('point', [-2.5, 3], attA);		A[2] = board.create('point', [-2.5, 3], attA);

	~~attA.name = "3";~~
	A[3] = board.create('point', [-4, -2], attA);		A[3] = board.create('point', [-4, -2], attA);

	~~attA.name = "4";~~
	A[4] = board.create('point', [0, -4], attA);		A[4] = board.create('point', [0, -4], attA);

Line 20:		Line 15:
	s[k] = board.create('segment',[A[k], A[(k + 2) % 5]],{strokeColor:'blue',strokeWidth:1});		s[k] = board.create('segment',[A[k], A[(k + 2) % 5]],{strokeColor:'blue',strokeWidth:1});
	}		}


	var attB = {name: '', strokeColor: '#EA0000', fillColor: '#EA0000'};		var attB = {name: '', strokeColor: '#EA0000', fillColor: '#EA0000'};
Line 36:		Line 30:
	r[k] = board.create('radicalaxis', [c[k], c[(k-1+5)%5]], attR);		r[k] = board.create('radicalaxis', [c[k], c[(k-1+5)%5]], attR);
	}		}



	</jsxgraph>		</jsxgraph>

A WASSERMANN at 12:19, 13 August 2019

2019-08-13T12:19:11Z

← Older revision		Revision as of 12:19, 13 August 2019
Line 32:		Line 32:
	}		}

	var attR = {strokeColor: '#~~aaaaaa~~', strokeWidth: 1};		var attR = {strokeColor: '#ff0000', strokeWidth: 2};
	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	r[k] = board.create('radicalaxis', [c[k], c[(k-1+5)%5]], attR);		r[k] = board.create('radicalaxis', [c[k], c[(k-1+5)%5]], attR);

A WASSERMANN at 12:18, 13 August 2019

2019-08-13T12:18:45Z

← Older revision		Revision as of 12:18, 13 August 2019
Line 1:		Line 1:
	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">
	var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});		var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
	var A = [], s = [], B = [], c = [], k;		var A = [], s = [], B = [], c = [], r = [], k;

	var attA = {name:'',strokeColor:'#7355ff',fillColor:'#7355ff'};		var attA = {name:'',strokeColor: '#7355ff', fillColor: '#7355ff'};
	attA.name = "0";		attA.name = "0";
	A[0] = board.create('point', [2.5, -3], attA);		A[0] = board.create('point', [2.5, -3], attA);
Line 22:		Line 22:


	var attB = {name:'',strokeColor:'#EA0000',fillColor:'#EA0000'};		var attB = {name: '', strokeColor: '#EA0000', fillColor: '#EA0000'};
	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	B[k] = board.create('intersection', [s[k], s[(k-1+5)%5], 0], attB);		B[k] = board.create('intersection', [s[k], s[(k-1+5)%5], 0], attB);
Line 30:		Line 30:
	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	c[k] = board.create('circle', [A[k], B[k], A[(k+1)%5]], attC);		c[k] = board.create('circle', [A[k], B[k], A[(k+1)%5]], attC);
			}

			var attR = {strokeColor: '#aaaaaa', strokeWidth: 1};
			for (k = 0; k < 5; k++) {
			r[k] = board.create('radicalaxis', [c[k], c[(k-1+5)%5]], attR);
	}		}

A WASSERMANN at 12:14, 13 August 2019

2019-08-13T12:14:37Z

← Older revision		Revision as of 12:14, 13 August 2019
Line 27:		Line 27:
	}		}

			var attC = {strokeColor: '#aaaaaa', strokeWidth: 1};
	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	c[k] = board.create('circle', [A[k], B[k], A[(k+1)%5]]);		c[k] = board.create('circle', [A[k], B[k], A[(k+1)%5]], attC);
	}		}

A WASSERMANN at 12:13, 13 August 2019

2019-08-13T12:13:32Z

← Older revision		Revision as of 12:13, 13 August 2019
Line 28:		Line 28:

	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	c[k] = board.create('~~circumcircle~~', [A[k], B[k], A[(k+1)%5]~~, 0~~]);		c[k] = board.create('circle', [A[k], B[k], A[(k+1)%5]]);
	}		}

A WASSERMANN at 12:13, 13 August 2019

2019-08-13T12:13:08Z

← Older revision		Revision as of 12:13, 13 August 2019
Line 28:		Line 28:

	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	c[k] = board.create('~~circle~~', [A[k], B[k], A[(k+1)%5], 0]);		c[k] = board.create('circumcircle', [A[k], B[k], A[(k+1)%5], 0]);
	}		}

A WASSERMANN at 12:12, 13 August 2019

2019-08-13T12:12:45Z

← Older revision		Revision as of 12:12, 13 August 2019
Line 1:		Line 1:
	<jsxgraph width="600" height="600">		<jsxgraph width="600" height="600">
	var ~~brd~~ = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});		var board = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
	var A = [], s = [], B = [], k;		var A = [], s = [], B = [], c = [], k;

	var attA = {name:'',strokeColor:'#7355ff',fillColor:'#7355ff'};		var attA = {name:'',strokeColor:'#7355ff',fillColor:'#7355ff'};
	attA.name = "0";		attA.name = "0";
	A[0] = ~~brd~~.create('point', [2.5, -3], attA);		A[0] = board.create('point', [2.5, -3], attA);
	attA.name = "1";		attA.name = "1";
	A[1] = ~~brd~~.create('point', [2, 4], attA);		A[1] = board.create('point', [2, 4], attA);
	attA.name = "2";		attA.name = "2";
	A[2] = ~~brd~~.create('point', [-2.5, 3], attA);		A[2] = board.create('point', [-2.5, 3], attA);

	attA.name = "3";		attA.name = "3";
	A[3] = ~~brd~~.create('point', [-4, -2], attA);		A[3] = board.create('point', [-4, -2], attA);

	attA.name = "4";		attA.name = "4";
	A[4] = ~~brd~~.create('point', [0, -4], attA);		A[4] = board.create('point', [0, -4], attA);

	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	s[k] = ~~brd~~.create('segment',[A[k], A[(k + 2) % 5]],{strokeColor:'blue',strokeWidth:1});		s[k] = board.create('segment',[A[k], A[(k + 2) % 5]],{strokeColor:'blue',strokeWidth:1});
	}		}

Line 24:		Line 24:
	var attB = {name:'',strokeColor:'#EA0000',fillColor:'#EA0000'};		var attB = {name:'',strokeColor:'#EA0000',fillColor:'#EA0000'};
	for (k = 0; k < 5; k++) {		for (k = 0; k < 5; k++) {
	B[k] = ~~brd~~.create('intersection', [s[k], s[(k-1+5)%5], 0], attB);		B[k] = board.create('intersection', [s[k], s[(k-1+5)%5], 0], attB);
	}		}

			for (k = 0; k < 5; k++) {
			c[k] = board.create('circle', [A[k], B[k], A[(k+1)%5], 0]);
			}



	</jsxgraph>		</jsxgraph>