Limacon

With JSXGraph elements can be traced to visualize construced loci.

References

• http://en.wikipedia.org/wiki/Limacon

The underlying JavaScript code

var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-2, 16, 18, -2]});

var p3 = board.createElement('point', [8, 4], {face:'x',size:3,name:"P_{3}",fixed:true});
var p4 = board.createElement('point', [8, 8], {size:4,face:'x',name:"P_{4}",fixed:true});
var c1 = board.createElement('circle', [p4, p3]);

var p6 = board.createElement('glider', [0, 0, c1], {face:'o',size:1,name:"P_{6}"});
var g = board.create('line', [p3, p6]);

var c2 = board.create('circle', [p6, 3]);

var p14_1 = board.create('point', [board.intersectionFunc(c2,g,0)], {size:3,face:'[]',name:"M",trace:true});
var p14_2 = board.create('point', [board.intersectionFunc(c2,g,1)], {size:3,face:'[]',name:"N",trace:true});

function clearTrace() {
    p14_1.clearTrace();
    p14_2.clearTrace();
}