Geometria básica no plano: áreas e perímetros - Revision history

A WASSERMANN at 10:56, 23 June 2021

2021-06-23T10:56:38Z

← Older revision		Revision as of 10:56, 23 June 2021
Line 33:		Line 33:

	<jsxgraph box="box2">		<jsxgraph box="box2">
	var board = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], keepAspectRatio:true, axis:true});
	var l1s = board.create('line', [[0,0], [1,1]],{strokeWidth:0});		var l1s = board.create('line', [[0,0], [1,1]],{strokeWidth:0});
	var pas = board.create('point',[2,2], {name:'A',style:5,slideObject:l1s});		var pas = board.create('point',[2,2], {name:'A',style:5,slideObject:l1s});

A WASSERMANN at 10:55, 23 June 2021

2021-06-23T10:55:38Z

← Older revision		Revision as of 10:55, 23 June 2021
Line 10:		Line 10:
	<jsxgraph box="box">		<jsxgraph box="box">
	var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 5, -5], axis:true});
	var po = board.~~createElement~~('point',[0,0], {name:'O',style:5,fixed:true});		var po = board.create('point',[0,0], {name:'O',style:5,fixed:true});
	var pa = board.~~createElement~~('point',[2,2], {name:'A',style:5});		var pa = board.create('point',[2,2], {name:'A',style:5});
	var pb = board.~~createElement~~('point',["X(A)",0], {name:'B',style:5});		var pb = board.create('point',["X(A)",0], {name:'B',style:5});
	var t = board.~~createElement~~('polygon',["O","A","B"]);		var t = board.create('polygon',["O","A","B"]);
	var tarea = board.~~createElement~~('text',[3,2.0,function(){area = 0.5Math.abs(pa.Y()pb.X());return "área = "+area.toFixed(6);}]);		var tarea = board.create('text',[3,2.0,function(){area = 0.5Math.abs(pa.Y()pb.X());return "área = "+area.toFixed(6);}]);
	var tperi = board.~~createElement~~('text',[2.45,2.5,function(){		var tperi = board.create('text',[2.45,2.5,function(){
	b = Math.abs(pa.X()); h = Math.abs(pa.Y());		b = Math.abs(pa.X()); h = Math.abs(pa.Y());
	p = b+h+Math.sqrt(bb+hh);return "perímetro = "+p.toFixed(6);}]);		p = b+h+Math.sqrt(bb+hh);return "perímetro = "+p.toFixed(6);}]);
	var h = board.~~createElement~~('text',[3.35,3.50,function(){altura=Math.abs(pa.Y());return "h = "+altura.toFixed(6);}]);		var h = board.create('text',[3.35,3.50,function(){altura=Math.abs(pa.Y());return "h = "+altura.toFixed(6);}]);
	var b = board.~~createElement~~('text',[3.35,3.00,function(){base =Math.abs(pa.X());return "b = "+base.toFixed(6);}]);		var b = board.create('text',[3.35,3.00,function(){base =Math.abs(pa.X());return "b = "+base.toFixed(6);}]);
	</jsxgraph>		</jsxgraph>

Line 34:		Line 34:
	<jsxgraph box="box2">		<jsxgraph box="box2">
	var board = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], axis:true});
	var l1s = board.~~createElement~~('line', [[0,0], [1,1]],{strokeWidth:0});		var l1s = board.create('line', [[0,0], [1,1]],{strokeWidth:0});
	var pas = board.~~createElement~~('point',[2,2], {name:'A',style:5,slideObject:l1s});		var pas = board.create('point',[2,2], {name:'A',style:5,slideObject:l1s});
	var pbs = board.~~createElement~~('point',["X(A)" ,"-Y(A)"], {name:'B',style:5});		var pbs = board.create('point',["X(A)" ,"-Y(A)"], {name:'B',style:5});
	var pcs = board.~~createElement~~('point',["-X(A)","-Y(A)"], {name:'C',style:5});		var pcs = board.create('point',["-X(A)","-Y(A)"], {name:'C',style:5});
	var pds = board.~~createElement~~('point',["-X(A)","Y(A)" ], {name:'D',style:5});		var pds = board.create('point',["-X(A)","Y(A)" ], {name:'D',style:5});
	var s = board.~~createElement~~('polygon',["A","B","C","D"]);		var s = board.create('polygon',["A","B","C","D"]);
	var sarea = board.~~createElement~~('text',[3 ,2.5,function(){side=2Math.abs(pas.X());area = sideside;return "área = "+area.toFixed(6);}]);		var sarea = board.create('text',[3 ,2.5,function(){side=2Math.abs(pas.X());area = sideside;return "área = "+area.toFixed(6);}]);
	var speri = board.~~createElement~~('text',[2.45,3.0,function(){side=2Math.abs(pas.X());peri = 4side ;return "perímetro = "+peri.toFixed(6);}]);		var speri = board.create('text',[2.45,3.0,function(){side=2Math.abs(pas.X());peri = 4side ;return "perímetro = "+peri.toFixed(6);}]);
	var a = board.~~createElement~~('text',[3.40,3.5,function(){side=2*Math.abs(pas.X());return "a = "+side.toFixed(6);}]);		var a = board.create('text',[3.40,3.5,function(){side=2*Math.abs(pas.X());return "a = "+side.toFixed(6);}]);
	</jsxgraph>		</jsxgraph>

Line 57:		Line 57:
	<jsxgraph box="box3">		<jsxgraph box="box3">
	var board = JXG.JSXGraph.initBoard('box3', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box3', {boundingbox: [-5, 5, 5, -5], axis:true});
	var par = board.~~createElement~~('point',[2,2], {name:'A',style:5});		var par = board.create('point',[2,2], {name:'A',style:5});
	var pbr = board.~~createElement~~('point',["X(A)" ,"-Y(A)"], {name:'B',style:5});		var pbr = board.create('point',["X(A)" ,"-Y(A)"], {name:'B',style:5});
	var pcr = board.~~createElement~~('point',["-X(A)","-Y(A)"], {name:'C',style:5});		var pcr = board.create('point',["-X(A)","-Y(A)"], {name:'C',style:5});
	var pdr = board.~~createElement~~('point',["-X(A)","Y(A)" ], {name:'D',style:5});		var pdr = board.create('point',["-X(A)","Y(A)" ], {name:'D',style:5});
	var r = board.~~createElement~~('polygon',["A","B","C","D"]);		var r = board.create('polygon',["A","B","C","D"]);
	var rperi = board.~~createElement~~('text',[2.45,2.5,function(){		var rperi = board.create('text',[2.45,2.5,function(){
	sidea=Math.abs(par.X());		sidea=Math.abs(par.X());
	sideb=Math.abs(par.Y());		sideb=Math.abs(par.Y());
Line 72:		Line 72:
	area = sidea*sideb;		area = sidea*sideb;
	return "área = "+area.toFixed(6);}]);		return "área = "+area.toFixed(6);}]);
	var ar = board.~~createElement~~('text',[3.35,3.50,function(){sidea=2*Math.abs(par.X());return "a = "+sidea.toFixed(6);}]);		var ar = board.create('text',[3.35,3.50,function(){sidea=2*Math.abs(par.X());return "a = "+sidea.toFixed(6);}]);
	var br = board.~~createElement~~('text',[3.35,3.00,function(){sideb=2*Math.abs(par.Y());return "b = "+sideb.toFixed(6);}]);		var br = board.create('text',[3.35,3.00,function(){sideb=2*Math.abs(par.Y());return "b = "+sideb.toFixed(6);}]);
	</jsxgraph>		</jsxgraph>

Line 88:		Line 88:
	<jsxgraph box="box4">		<jsxgraph box="box4">
	var board = JXG.JSXGraph.initBoard('box4', {boundingbox: [-5, 5, 5, -5], axis:true, keepAspectRatio:true});		var board = JXG.JSXGraph.initBoard('box4', {boundingbox: [-5, 5, 5, -5], axis:true, keepAspectRatio:true});
	var poc = board.~~createElement~~('point',[0,0], {name:'O',style:5,fixed:true});		var poc = board.create('point',[0,0], {name:'O',style:5,fixed:true});
	var prc = board.~~createElement~~('point',[2,2], {name:'P',style:5});		var prc = board.create('point',[2,2], {name:'P',style:5});
	var c = board.~~createElement~~('circle',[[0,0], ["X(P)","Y(P)"]],		var c = board.create('circle',[[0,0], ["X(P)","Y(P)"]],
	{strokeColor:'#0000ff',strokeWidth:3,fillColor:'#cccccc',fillOpacity:0.3});		{strokeColor:'#0000ff',strokeWidth:3,fillColor:'#cccccc',fillOpacity:0.3});
	var vr = board.~~createElement~~('line',["O","P"],		var vr = board.create('line',["O","P"],
	{strokeColor:'#0000ff',strokeWidth:3,straightFirst:false,straightLast:false,firstArrow:true,lastArrow:true});		{strokeColor:'#0000ff',strokeWidth:3,straightFirst:false,straightLast:false,firstArrow:true,lastArrow:true});
	var carea = board.~~createElement~~('text',[2.6,2.5,		var carea = board.create('text',[2.6,2.5,
	function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());area = Math.PIradiusradius;return "área = "+area.toFixed(6);}]);		function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());area = Math.PIradiusradius;return "área = "+area.toFixed(6);}]);
	var r = board.~~createElement~~('text',[2.95,3.50,		var r = board.create('text',[2.95,3.50,
	function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());return "r = "+radius.toFixed(6);}]);		function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());return "r = "+radius.toFixed(6);}]);
	var cperim = board.~~createElement~~('text',[2,3.00,		var cperim = board.create('text',[2,3.00,
	function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());perimeter=2Math.PIradius;return "perímetro = "+perimeter.toFixed(6);}]);		function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());perimeter=2Math.PIradius;return "perímetro = "+perimeter.toFixed(6);}]);
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 10:50, 23 June 2021

2021-06-23T10:50:39Z

← Older revision		Revision as of 10:50, 23 June 2021
Line 107:		Line 107:
	<i>Última alteração em 23/07/2009</i></p><p>		<i>Última alteração em 23/07/2009</i></p><p>
	Todos os gráficos interactivos foram criados com recurso à livraria		Todos os gráficos interactivos foram criados com recurso à livraria
	<a href="~~http~~://jsxgraph.~~uni-bayreuth.de/wp/~~">~~JSXgraph~~</a>.		<a href="https://jsxgraph.org">JSXGraph</a>.
	</body>		</body>
	</html>		</html>

	[[Category:Contributions]]		[[Category:Contributions]]

A WASSERMANN at 10:50, 23 June 2021

2021-06-23T10:50:04Z

← Older revision		Revision as of 10:50, 23 June 2021
Line 87:		Line 87:

	<jsxgraph box="box4">		<jsxgraph box="box4">
	var board = JXG.JSXGraph.initBoard('box4', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box4', {boundingbox: [-5, 5, 5, -5], axis:true, keepAspectRatio:true});
	var poc = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});		var poc = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});
	var prc = board.createElement('point',[2,2], {name:'P',style:5});		var prc = board.createElement('point',[2,2], {name:'P',style:5});

A WASSERMANN at 10:49, 23 June 2021

2021-06-23T10:49:00Z

← Older revision		Revision as of 10:49, 23 June 2021
Line 102:		Line 102:
	</jsxgraph>		</jsxgraph>

	</html>		<html>
	</ul>		</ul>
	<hr>		<hr>

A WASSERMANN at 10:48, 23 June 2021

2021-06-23T10:48:36Z

← Older revision		Revision as of 10:48, 23 June 2021
Line 7:		Line 7:
	e da área com a variação da base e da altura:</li>		e da área com a variação da base e da altura:</li>
	</html>		</html>

	<jsxgraph box="box">		<jsxgraph box="box">
	var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 5, -5], axis:true});
Line 20:		Line 21:
	var b = board.createElement('text',[3.35,3.00,function(){base =Math.abs(pa.X());return "b = "+base.toFixed(6);}]);		var b = board.createElement('text',[3.35,3.00,function(){base =Math.abs(pa.X());return "b = "+base.toFixed(6);}]);
	</jsxgraph>		</jsxgraph>

	<html>		<html>
	<li><strong>Quadrado:</strong>		<li><strong>Quadrado:</strong>
Line 28:		Line 30:
	e da área com a variação da aresta:		e da área com a variação da aresta:
	</li>		</li>
	<~~center~~>		</html>
	~~ <p></p>~~
	<~~div id~~="box2~~" class="jxgbox" style="width:500px; height:500px;"></div><p></p>~~		<jsxgraph box="box2">
	~~ ~~
	~~</center>~~
	~~<script type="text/javascript~~">
	var board = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], axis:true});
	var l1s = board.createElement('line', [[0,0], [1,1]],{strokeWidth:0});		var l1s = board.createElement('line', [[0,0], [1,1]],{strokeWidth:0});
Line 44:		Line 43:
	var speri = board.createElement('text',[2.45,3.0,function(){side=2Math.abs(pas.X());peri = 4side ;return "perímetro = "+peri.toFixed(6);}]);		var speri = board.createElement('text',[2.45,3.0,function(){side=2Math.abs(pas.X());peri = 4side ;return "perímetro = "+peri.toFixed(6);}]);
	var a = board.createElement('text',[3.40,3.5,function(){side=2*Math.abs(pas.X());return "a = "+side.toFixed(6);}]);		var a = board.createElement('text',[3.40,3.5,function(){side=2*Math.abs(pas.X());return "a = "+side.toFixed(6);}]);
	</~~script~~>		</jsxgraph>

			<html>
	<li><strong>Rectangulo:</strong>		<li><strong>Rectangulo:</strong>
	<i>a</i> = lado 1, <i>b</i> = lado 2,		<i>a</i> = lado 1, <i>b</i> = lado 2,
Line 52:		Line 53:
	e da área com a variação dos lados:		e da área com a variação dos lados:
	</li>		</li>
	<~~center~~>		</html>
	~~ <p></p>~~
	<~~div id~~="box3~~" class="jxgbox" style="width:500px; height:500px;"></div><p></p>~~		<jsxgraph box="box3">
	~~ ~~
	~~</center>~~
	~~<script type="text/javascript~~">
	var board = JXG.JSXGraph.initBoard('box3', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box3', {boundingbox: [-5, 5, 5, -5], axis:true});
	var par = board.createElement('point',[2,2], {name:'A',style:5});		var par = board.createElement('point',[2,2], {name:'A',style:5});
Line 76:		Line 74:
	var ar = board.createElement('text',[3.35,3.50,function(){sidea=2*Math.abs(par.X());return "a = "+sidea.toFixed(6);}]);		var ar = board.createElement('text',[3.35,3.50,function(){sidea=2*Math.abs(par.X());return "a = "+sidea.toFixed(6);}]);
	var br = board.createElement('text',[3.35,3.00,function(){sideb=2*Math.abs(par.Y());return "b = "+sideb.toFixed(6);}]);		var br = board.createElement('text',[3.35,3.00,function(){sideb=2*Math.abs(par.Y());return "b = "+sideb.toFixed(6);}]);
	</~~script~~>		</jsxgraph>

			<html>
	<li><strong>Círculo:</strong>		<li><strong>Círculo:</strong>
	<i>r</i> = raio do círculo,		<i>r</i> = raio do círculo,
Line 84:		Line 84:
	e da área do círculo com a variação do raio:		e da área do círculo com a variação do raio:
	</li>		</li>
	<~~center~~>		</html>
	~~ <p></p>~~
	<~~div id~~="box4~~" class="jxgbox" style="width:500px; height:500px;"></div><p></p>~~		<jsxgraph box="box4">
	~~ ~~
	~~</center>~~
	~~<script type="text/javascript~~">
	var board = JXG.JSXGraph.initBoard('box4', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box4', {boundingbox: [-5, 5, 5, -5], axis:true});
	var poc = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});		var poc = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});
Line 103:		Line 100:
	var cperim = board.createElement('text',[2,3.00,		var cperim = board.createElement('text',[2,3.00,
	function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());perimeter=2Math.PIradius;return "perímetro = "+perimeter.toFixed(6);}]);		function(){radius=Math.sqrt(prc.X()prc.X()+prc.Y()prc.Y());perimeter=2Math.PIradius;return "perímetro = "+perimeter.toFixed(6);}]);
	</~~script~~>		</jsxgraph>

			</html>
	</ul>		</ul>
	<hr>		<hr>

A WASSERMANN at 10:45, 23 June 2021

2021-06-23T10:45:22Z

← Older revision		Revision as of 10:45, 23 June 2021
Line 1:		Line 1:
	<html>		<html>
	~~<head>~~
	~~<meta http-equiv="content-type" content="text/html; charset=ISO-8859-1">~~
	~~<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />~~
	~~<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>~~
	~~<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>~~
	~~<title>Orlando Camargo Rodríguez - ensino</title>~~
	~~</head>~~
	~~<body>~~
	~~<p></p>~~
	<ul>		<ul>
	<li><strong>Triângulo rectângulo:</strong> <i>b</i> = base, <i>h</i> = altura,		<li><strong>Triângulo rectângulo:</strong> <i>b</i> = base, <i>h</i> = altura,
Line 15:		Line 6:
	Arraste o ponto <i>A</i> para ver a variação do perímetro		Arraste o ponto <i>A</i> para ver a variação do perímetro
	e da área com a variação da base e da altura:</li>		e da área com a variação da base e da altura:</li>
	~~<center>~~		</html>
	~~ <p>~~</p>		<jsxgraph box="box">
	<~~div id~~="box~~" class="jxgbox" style="width:500px; height:500px;"></div><p></p>~~
	~~ ~~
	~~</center>~~
	~~<script type="text/javascript~~">
	var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 5, -5], axis:true});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 5, -5], axis:true});
	var po = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});		var po = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});
Line 32:		Line 19:
	var h = board.createElement('text',[3.35,3.50,function(){altura=Math.abs(pa.Y());return "h = "+altura.toFixed(6);}]);		var h = board.createElement('text',[3.35,3.50,function(){altura=Math.abs(pa.Y());return "h = "+altura.toFixed(6);}]);
	var b = board.createElement('text',[3.35,3.00,function(){base =Math.abs(pa.X());return "b = "+base.toFixed(6);}]);		var b = board.createElement('text',[3.35,3.00,function(){base =Math.abs(pa.X());return "b = "+base.toFixed(6);}]);
	</~~script~~>		</jsxgraph>
			<html>
	<li><strong>Quadrado:</strong>		<li><strong>Quadrado:</strong>
	<i>a</i> = lado (ou aresta),		<i>a</i> = lado (ou aresta),

Michael at 11:22, 31 January 2013

2013-01-31T11:22:25Z

A WASSERMANN at 13:19, 22 March 2010

2010-03-22T13:19:40Z

← Older revision		Revision as of 13:19, 22 March 2010
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	</body>		</body>
	</html>		</html>

			[[Category:Contributions]]

A WASSERMANN at 13:18, 22 March 2010

2010-03-22T13:18:52Z

← Older revision		Revision as of 13:18, 22 March 2010
Line 8:		Line 8:
	</head>		</head>
	<body>		<body>
	~~<h2>Geometria básica no plano: áreas e perímetros</h2>~~
	<p></p>		<p></p>
	<ul>		<ul>

← Older revision		Revision as of 11:22, 31 January 2013
Line 21:		Line 21:
	</center>		</center>
	<script type="text/javascript">		<script type="text/javascript">
	var board = JXG.JSXGraph.initBoard('box', {~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY: 50~~, axis:true});		var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 5, -5], axis:true});
	var po = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});		var po = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});
	var pa = board.createElement('point',[2,2], {name:'A',style:5});		var pa = board.createElement('point',[2,2], {name:'A',style:5});
Line 46:		Line 46:
	</center>		</center>
	<script type="text/javascript">		<script type="text/javascript">
	var board = JXG.JSXGraph.initBoard('box2', {~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY: 50~~, axis:true});		var board = JXG.JSXGraph.initBoard('box2', {boundingbox: [-5, 5, 5, -5], axis:true});
	var l1s = board.createElement('line', [[0,0], [1,1]],{strokeWidth:0});		var l1s = board.createElement('line', [[0,0], [1,1]],{strokeWidth:0});
	var pas = board.createElement('point',[2,2], {name:'A',style:5,slideObject:l1s});		var pas = board.createElement('point',[2,2], {name:'A',style:5,slideObject:l1s});
Line 70:		Line 70:
	</center>		</center>
	<script type="text/javascript">		<script type="text/javascript">
	var board = JXG.JSXGraph.initBoard('box3', {~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY: 50~~, axis:true});		var board = JXG.JSXGraph.initBoard('box3', {boundingbox: [-5, 5, 5, -5], axis:true});
	var par = board.createElement('point',[2,2], {name:'A',style:5});		var par = board.createElement('point',[2,2], {name:'A',style:5});
	var pbr = board.createElement('point',["X(A)" ,"-Y(A)"], {name:'B',style:5});		var pbr = board.createElement('point',["X(A)" ,"-Y(A)"], {name:'B',style:5});
Line 102:		Line 102:
	</center>		</center>
	<script type="text/javascript">		<script type="text/javascript">
	var board = JXG.JSXGraph.initBoard('box4', {~~originX~~: ~~250~~, ~~originY: 250~~, ~~unitX: 50~~, ~~unitY: 50~~, axis:true});		var board = JXG.JSXGraph.initBoard('box4', {boundingbox: [-5, 5, 5, -5], axis:true});
	var poc = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});		var poc = board.createElement('point',[0,0], {name:'O',style:5,fixed:true});
	var prc = board.createElement('point',[2,2], {name:'P',style:5});		var prc = board.createElement('point',[2,2], {name:'P',style:5});