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<html>
<head>
<title>Spirograph | JSXGraph Example</title>
<link rel="stylesheet" type="text/css" href="../../distrib/jsxgraph.css" />
<script type="text/javascript" src="../../distrib/jsxgraphcore.js"></script>
</head>
<body>
<div id="debug" style="display: none"></div>
<center>
<div style="width: 1000px;">
<div style="width:500px; height: 510px;">
<div id="jxgbox" class="jxgbox" style="width:500px; height:500px; text-align: left; float: left;"></div>
<div id="polynomials" style="display: none; width: 500px; height: 500px; margin-left: 10px; text-align: left; padding-left: -200px;"></div>
</div>
<div style="width: 800px; margin-top: 10px;">
<form>
<input type="button" onclick="chooseCoordinateSystem();" value="Choose coordinate system" />
<input type="button" onclick="generatePolynomials();" value="Generate system of polynomial equations" />
<br />
<input type="button" onclick="calculateLocus();" value="Calculate locus" />
<input type="button" onclick="showLocusEquation();" value="Show locus equation" />
<input type="button" onclick="showBoard();" value="Show board" />
<!--br />
<input type="button" onclick="extend();" value="Extend the construction" />
<input type="button" onclick="extendedLocus();" value="Calculate extended locus" /-->
<br />
<input type="text" value="0.2" id="dim" size="3" />
<input type="button" onclick="dimConstruction();" value="Dim construction" />
<input type="button" onclick="dimLocus();" value="Dim locus" />
<!--input type="button" onclick="dimExtension();" value="Dim extension" />
<input type="button" onclick="dimLocus2();" value="Dim extended locus" /-->
</form>
</div>
</div>
</center>
<script type="text/javascript">
/* <![CDATA[ */
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5], keepaspectratio:true});
var board = brd;
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 k2 = brd.create('circle',[O,O.Dist(A)+1], {strokeColor: 'lightgray'});
var M = brd.create('intersection',[k2,g1,0], {name:'M', fillColor:'blue', strokeColor:'blue'});
var k3 = brd.create('circle',[M,B],{name:'k'});
var gpar = brd.create('parallel',[O,A,M], {name:"g", strokeColor:'lightgray'});
var Cprime = brd.create('intersection',[gpar,k3,0], {name:"C'", trace: false, fillColor:'green', strokeColor:'green'});
var p14_1 = Cprime;
var loc = null;
function chooseCoordinateSystem() {
var k, o;
document.getElementById('polynomials').style.display = 'none';
document.getElementById('jxgbox').style.display = 'block';
JXG.Math.Symbolic.generateSymbolicCoordinatesPartial(board, p14_1, 'u', 'brace');
for(k in board.objects) {
o = board.objects[k];
if(o.elementClass == JXG.OBJECT_CLASS_POINT) {
o.label.content.setText(o.name + ' (' + o.symbolic.x + ', ' + o.symbolic.y + ')');
}
}
board.update();
JXG.Math.Symbolic.clearSymbolicCoordinates(board);
}
function generatePolynomials() {
var res = JXG.Math.Symbolic.generatePolynomials(board, p14_1, true),
i, out = document.getElementById('polynomials');
out.innerHTML = '<ul>';
for(i=0; i<res.length; i++)
out.innerHTML += '<li>' + res[i] + ' = 0</li>';
out.innerHTML += '</ul>';
out.style.display = 'block';
document.getElementById('jxgbox').style.display = 'none';
}
function calculateLocus() {
loc = board.create('locus', [p14_1], {strokeColor: 'black', strokeWidth: '2px'});
}
function showLocusEquation() {
var out = document.getElementById('polynomials');
out.innerHTML = '<ul>';
for(i=0; i<loc.eq.length; i++)
out.innerHTML += '<li>' + loc.eq[i] + ' = 0</li>';
out.innerHTML += '</ul>';
out.style.display = 'block';
document.getElementById('jxgbox').style.display = 'none';
}
function showBoard() {
document.getElementById('polynomials').style.display = 'none';
document.getElementById('jxgbox').style.display = 'block';
}
function dimConstruction() {
var c = [O, A, k, B, g1, k2, M, k3, gpar, Cprime/*, C*/], i, o = getDim();
if(O.visProp['strokeOpacity'] == o)
o = 1.0;
for(i=0; i<c.length; i++) {
c[i].setProperty({strokeOpacity: o, fillOpacity: o});
}
}
function dimLocus() {
var o = getDim();
if(loc != null) {
if(loc.visProp['strokeOpacity'] == o)
o = 1.0;
loc.setProperty({strokeOpacity: o});
}
}
function dimLocus2() {
var o = getDim();
if(loc2 != null) {
if(loc2.visProp['strokeOpacity'] == o)
o = 1.0;
loc2.setProperty({strokeOpacity: o});
}
}
function extend() {
if(loc==null)
return;
board.suspendUpdate();
tg = board.create('glider', [loc]);
tc = board.create('circle', [tg, 3]);
ti = board.create('intersection', [tc, c1, 0]);
tm = board.create('midpoint', [tg, ti]);
board.unsuspendUpdate();
}
function dimExtension() {
if(tg == null)
return;
var c = [tg, tc, ti, tm], i, o = getDim();
if(tg.visProp['strokeOpacity'] == o)
o = 1.0;
for(i=0; i<c.length; i++) {
c[i].setProperty({strokeOpacity: o, fillOpacity: o});
}
}
function getDim() {
return parseFloat(document.getElementById('dim').value);
}
function extendedLocus() {
loc2 = board.create('locus', [tm], {strokeColor: 'black', strokeWidth: '2px'});
}
/* ]]> */
</script>
<br/>
</body>
</html>
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