// Define the id of your board in BOARDID
const board = JXG.JSXGraph.initBoard(BOARDID, {
axis: true,
boundingbox: [-15, 10, 10, -10]
});
var p = [];
p.push(board.create('point', [0, -5]));
p.push(board.create('point', [-5, 0]));
p.push(board.create('point', [-3, 3]));
// Ellipse
var curve1 = board.create('ellipse', p, {strokeColor: 'black'});
// Rose
var curve2 = board.create('curve', [(phi) => 4 * Math.cos(2 * phi), [0, 0], 0, 2 * Math.PI], {
curveType: 'polar',
strokeColor: 'blue',
strokewidth: 1
});
// Intersection
var clip_path = board.create('curveintersection', [curve1, curve2], {
strokeWidth: 3,
fillColor: 'yellow',
fillOpacity: 0.3
});