Continuous functions - Revision history

A WASSERMANN at 19:02, 7 January 2019

2019-01-07T19:02:09Z

← Older revision		Revision as of 19:02, 7 January 2019
Line 1:		Line 1:
	<jsxgraph width="600" height="500" box="box">		<jsxgraph width="600" height="500" box="box">
	var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 6, -4], axis: true});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-4, 6, 6, -4], axis: true});
	board.suspendUpdate();		board.suspendUpdate();

Line 42:		Line 42:

	<source lang="javascript">		<source lang="javascript">
	var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 6, -4], axis: true});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-4, 6, 6, -4], axis: true});
	board.suspendUpdate();		board.suspendUpdate();

A WASSERMANN at 19:01, 7 January 2019

2019-01-07T19:01:15Z

← Older revision		Revision as of 19:01, 7 January 2019
Line 30:		Line 30:

	var txt = board.create('text', [4.2, -1.5, function() {		var txt = board.create('text', [4.2, -1.5, function() {
	return 'ε=' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5);		return 'ε = ' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5);
	}], {strokeColor: 'blue'});		}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();
Line 72:		Line 72:

	var txt = board.create('text', [4.2, -1.5, function() {		var txt = board.create('text', [4.2, -1.5, function() {
	return 'ε=' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5);		return 'ε = ' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5);
	}], {strokeColor: 'blue'});		}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();

A WASSERMANN at 18:59, 7 January 2019

2019-01-07T18:59:57Z

← Older revision		Revision as of 18:59, 7 January 2019
Line 30:		Line 30:

	var txt = board.create('text', [4.2, -1.5, function() {		var txt = board.create('text', [4.2, -1.5, function() {
	return 'ε=' + Math.max(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);		return 'ε=' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5);
	}], {strokeColor: 'blue'});		}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();
Line 72:		Line 72:

	var txt = board.create('text', [4.2, -1.5, function() {		var txt = board.create('text', [4.2, -1.5, function() {
	return 'ε=' + Math.max(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);		return 'ε=' + Math.max(Math.abs(y2.Y() - y1.Y()), Math.abs(y1.Y() - y3.Y())).toFixed(5);
	}], {strokeColor: 'blue'});		}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();

A WASSERMANN at 18:58, 7 January 2019

2019-01-07T18:58:13Z

← Older revision		Revision as of 18:58, 7 January 2019
Line 30:		Line 30:

	var txt = board.create('text', [4.2, -1.5, function() {		var txt = board.create('text', [4.2, -1.5, function() {
	return 'ε=' + Math.~~min~~(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);		return 'ε=' + Math.max(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);
	}], {strokeColor: 'blue'});		}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();
Line 72:		Line 72:

	var txt = board.create('text', [4.2, -1.5, function() {		var txt = board.create('text', [4.2, -1.5, function() {
	return 'ε=' + Math.~~min~~(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);		return 'ε=' + Math.max(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);
	}], {strokeColor: 'blue'});		}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();

A WASSERMANN at 18:57, 7 January 2019

2019-01-07T18:57:35Z

← Older revision		Revision as of 18:57, 7 January 2019
Line 10:		Line 10:
	}		}
	};		};
	var graph = board.create('functiongraph', [f], {strokeColor:'#~~00ff00~~'});		var graph = board.create('functiongraph', [f], {strokeColor:'#0000ff'});

	var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'});
Line 29:		Line 29:
	var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});

	var txt = board.create('text', [4.5, -1.5, function() {		var txt = board.create('text', [4.2, -1.5, function() {
	return 'ε=' + Math.min(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);		return 'ε=' + Math.min(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);
	}]);		}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>
Line 52:		Line 52:
	}		}
	};		};
	var graph = board.create('functiongraph', [f], {strokeColor:'#~~00ff00~~'});		var graph = board.create('functiongraph', [f], {strokeColor:'#0000ff'});

	var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'});
Line 70:		Line 70:
	var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});

			var txt = board.create('text', [4.2, -1.5, function() {
			return 'ε=' + Math.min(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);
			}], {strokeColor: 'blue'});
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</source>		</source>

A WASSERMANN at 18:56, 7 January 2019

2019-01-07T18:56:23Z

← Older revision		Revision as of 18:56, 7 January 2019
Line 30:		Line 30:

	var txt = board.create('text', [4.5, -1.5, function() {		var txt = board.create('text', [4.5, -1.5, function() {
	return 'ε=' + Math.min(y2.Y() - y1.Y(), y1.Y() - y3.Y()).~~tofixed~~(5);		return 'ε=' + Math.min(y2.Y() - y1.Y(), y1.Y() - y3.Y()).toFixed(5);
	}]);		}]);
	board.unsuspendUpdate();		board.unsuspendUpdate();

A WASSERMANN at 18:55, 7 January 2019

2019-01-07T18:55:51Z

← Older revision		Revision as of 18:55, 7 January 2019
Line 28:		Line 28:
	var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});

			var txt = board.create('text', [4.5, -1.5, function() {
			return 'ε=' + Math.min(y2.Y() - y1.Y(), y1.Y() - y3.Y()).tofixed(5);
			}]);
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 18:28, 7 January 2019

2019-01-07T18:28:04Z

← Older revision		Revision as of 18:28, 7 January 2019
Line 12:		Line 12:
	var graph = board.create('functiongraph', [f], {strokeColor:'#00ff00'});		var graph = board.create('functiongraph', [f], {strokeColor:'#00ff00'});

	var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'&~~epsilon~~;'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'});

	var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});		var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});
Line 50:		Line 50:
	var graph = board.create('functiongraph', [f], {strokeColor:'#00ff00'});		var graph = board.create('functiongraph', [f], {strokeColor:'#00ff00'});

	var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'&~~epsilon~~;'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'δ'});

	var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});		var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});

Michael at 13:06, 7 June 2011

2011-06-07T13:06:13Z

← Older revision		Revision as of 13:06, 7 June 2011
Line 1:		Line 1:
	<jsxgraph width="600" height="500" box="box">		<jsxgraph width="600" height="500" box="box">
	var board = JXG.JSXGraph.initBoard('box', {~~originX~~: ~~300~~, ~~originY: 300~~, ~~unitX: 50~~, ~~unitY~~: 50});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 6, -4], axis: true});
	board.suspendUpdate();		board.suspendUpdate();
	~~var b1axisx = board.create('axis', [[0,0], [1,0]], {});~~
	~~var b1axisy = board.create('axis', [[0,0], [0,1]], {});~~

	var f = function(x) {		var f = function(x) {
Line 16:		Line 14:
	var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});

	var x1 = board.create('glider', [-2,0,~~b1axisx~~],{name:'a'});		var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});
	board.suspendUpdate();		board.suspendUpdate();
	var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{~~style~~:7,name:' '});		var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '});
	var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{~~style~~:7,name:' '});		var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '});
	var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{~~style~~:7,name:'f(a)'});		var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
	var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{~~style~~:7,name:' '});		var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '});
	var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{~~style~~:7,name:' '});		var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '});
	var v1 = board.create('~~line~~', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1~~,straightFirst:false,straightLast:false~~});		var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
	var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});		var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
	var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});		var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});
Line 30:		Line 28:
	var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</jsxgraph>		</jsxgraph>

Line 40:		Line 38:

	<source lang="javascript">		<source lang="javascript">
	var board = JXG.JSXGraph.initBoard('box', {~~originX~~: ~~300~~, ~~originY: 300~~, ~~unitX: 50~~, ~~unitY~~: 50});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 6, -4], axis: true});
	board.suspendUpdate();		board.suspendUpdate();
	~~var b1axisx = board.create('axis', [[0,0], [1,0]], {});~~
	~~var b1axisy = board.create('axis', [[0,0], [0,1]], {});~~

	var f = function(x) {		var f = function(x) {
Line 56:		Line 52:
	var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});

	var x1 = board.create('glider', [-2,0,~~b1axisx~~],{name:'a'});		var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});
	var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{~~style~~:7,name:' '});		board.suspendUpdate();
	var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{~~style~~:7,name:' '});		var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '});
	var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{~~style~~:7,name:'f(a)'});		var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '});
	var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{~~style~~:7,name:' '});		var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
	var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{~~style~~:7,name:' '});		var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '});
	var v1 = board.create('~~line~~', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1~~,straightFirst:false,straightLast:false~~});		var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '});
			var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
	var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});		var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
	var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});		var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});

A WASSERMANN at 10:40, 25 March 2011

2011-03-25T10:40:47Z

← Older revision		Revision as of 10:40, 25 March 2011
Line 1:		Line 1:
	<~~html>~~		<jsxgraph width="600" height="500" box="box">
	~~<link rel="stylesheet" type="text/css" href="http://~~jsxgraph~~.uni-bayreuth.de/distrib/jsxgraph.css" />~~		var board = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 50, unitY: 50});
	~~<script type~~="~~text/javascript~~" ~~src~~="~~http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js~~"~~></script>~~
	~~<div id~~="box~~" class="jxgbox" style="width:600px; height:500px;"></div>~~
	~~<script language="JavaScript~~">
	board = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 50, unitY: 50});
	board.suspendUpdate();		board.suspendUpdate();
	b1axisx = board.~~createElement~~('axis', [[0,0], [1,0]], {});		var b1axisx = board.create('axis', [[0,0], [1,0]], {});
	b1axisy = board.~~createElement~~('axis', [[0,0], [0,1]], {});		var b1axisy = board.create('axis', [[0,0], [0,1]], {});

	var f = function(x) {		var f = function(x) {
Line 16:		Line 12:
	}		}
	};		};
	graph = board.~~createElement~~('functiongraph', [f], {strokeColor:'#00ff00'});		var graph = board.create('functiongraph', [f], {strokeColor:'#00ff00'});

	s = board.~~createElement~~('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});

	x1 = board.~~createElement~~('glider', [-2,0,b1axisx],{name:'a'});		var x1 = board.create('glider', [-2,0,b1axisx],{name:'a'});
	x2 = board.~~createElement~~('point', [function(){return x1.X()-s.Value();},0],{style:7,name:' '});		board.suspendUpdate();
	x3 = board.~~createElement~~('point', [function(){return x1.X()+s.Value();},0],{style:7,name:' '});		var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{style:7,name:' '});
	y1 = board.~~createElement~~('point', [function(){return x1.X();},function(){return f(x1.X());}],{style:7,name:'f(a)'});		var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{style:7,name:' '});
	y2 = board.~~createElement~~('point', [function(){return x2.X();},function(){return f(x2.X());}],{style:7,name:' '});		var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{style:7,name:'f(a)'});
	y3 = board.~~createElement~~('point', [function(){return x3.X();},function(){return f(x3.X());}],{style:7,name:' '});		var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{style:7,name:' '});
	v1 = board.~~createElement~~('line', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false});		var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{style:7,name:' '});
	v2 = board.~~createElement~~('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});		var v1 = board.create('line', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false});
	v3 = board.~~createElement~~('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});		var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
			var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});

	h1 = board.~~createElement~~('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h1 = board.create('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	h2 = board.~~createElement~~('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	h3 = board.~~createElement~~('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	board.unsuspendUpdate();		board.unsuspendUpdate();
			</jsxgraph>
	</~~script>~~
	~~</html~~>

	=== References ===		=== References ===
Line 45:		Line 40:

	<source lang="javascript">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 50, unitY: 50});		var board = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 50, unitY: 50});
	board.suspendUpdate();		board.suspendUpdate();
	b1axisx = board.~~createElement~~('axis', [[0,0], [1,0]], {});		var b1axisx = board.create('axis', [[0,0], [1,0]], {});
	b1axisy = board.~~createElement~~('axis', [[0,0], [0,1]], {});		var b1axisy = board.create('axis', [[0,0], [0,1]], {});

	var f = function(x) {		var f = function(x) {
Line 57:		Line 52:
	}		}
	};		};
	graph = board.~~createElement~~('functiongraph', [f], {strokeColor:'#00ff00'});		var graph = board.create('functiongraph', [f], {strokeColor:'#00ff00'});

	s = board.~~createElement~~('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});		var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'ε'});

	x1 = board.~~createElement~~('glider', [-2,0,b1axisx],{name:'a'});		var x1 = board.create('glider', [-2,0,b1axisx],{name:'a'});
	x2 = board.~~createElement~~('point', [function(){return x1.X()-s.Value();},0],{style:7,name:' '});		var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{style:7,name:' '});
	x3 = board.~~createElement~~('point', [function(){return x1.X()+s.Value();},0],{style:7,name:' '});		var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{style:7,name:' '});
	y1 = board.~~createElement~~('point', [function(){return x1.X();},function(){return f(x1.X());}],{style:7,name:'f(a)'});		var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{style:7,name:'f(a)'});
	y2 = board.~~createElement~~('point', [function(){return x2.X();},function(){return f(x2.X());}],{style:7,name:' '});		var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{style:7,name:' '});
	y3 = board.~~createElement~~('point', [function(){return x3.X();},function(){return f(x3.X());}],{style:7,name:' '});		var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{style:7,name:' '});
	v1 = board.~~createElement~~('line', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false});		var v1 = board.create('line', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false});
	v2 = board.~~createElement~~('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});		var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
	v3 = board.~~createElement~~('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});		var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});

	h1 = board.~~createElement~~('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h1 = board.create('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	h2 = board.~~createElement~~('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	h3 = board.~~createElement~~('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});		var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
	board.unsuspendUpdate();		board.unsuspendUpdate();
	</source>		</source>