Euler line

From JSXGraph Wiki
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

The JavaScript code

(function () {

    var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio:true});

    var cerise = {
            strokeColor: '#901B77',
            fillColor: '#CA147A'
        },

        grass = {
            strokeColor: '#009256',
            fillColor: '#65B72E',
            visible: true,
            withLabel: true
        },

        perpendicular = {
            strokeColor: 'black',
            dash: 1,
            strokeWidth: 1,
            point: JXG.deepCopy(cerise, {
                visible: true,
                withLabel: true
            })
        },

        median = {
            strokeWidth: 1,
            strokeColor: '#333333',
            dash:2
        },

        A = board.create('point', [1, 0], cerise),
        B = board.create('point', [-1, 0], cerise),
        C = board.create('point', [0.2, 1.5], cerise),
        pol = board.create('polygon',[A,B,C], {
            fillColor: '#FFFF00',
            lines: {
                strokeWidth: 2,
                strokeColor: '#009256'
            }
        });

    var pABC, pBCA, pCAB, i1;
    perpendicular.point.name = 'H_c';
    pABC = board.create('perpendicular', [pol.borders[0], C], perpendicular);
    perpendicular.point.name = 'H_a';
    pBCA = board.create('perpendicular', [pol.borders[1], A], perpendicular);
    perpendicular.point.name = 'H_b';
    pCAB = board.create('perpendicular', [pol.borders[2], B], perpendicular);
    grass.name = 'H';
    i1 = board.create('intersection', [pABC, pCAB, 0], grass);

    var mAB, mBC, mCA;
    cerise.name = 'M_c';
    mAB = board.create('midpoint', [A, B], cerise);
    cerise.name = 'M_a';
    mBC = board.create('midpoint', [B, C], cerise);
    cerise.name = 'M_b';
    mCA = board.create('midpoint', [C, A], cerise);

    var ma, mb, mc, i2;
    ma = board.create('segment', [mBC, A], median);
    mb = board.create('segment', [mCA, B], median);
    mc = board.create('segment', [mAB, C], median);
    grass.name = 'S';
    i2 = board.create('intersection', [ma, mc, 0], grass);

    var c;
    grass.name = 'U';
    c = board.create('circumcircle',[A, B, C], {
        strokeColor: '#000000',
        dash: 3,
        strokeWidth: 1,
        point: grass
    });

    var euler;
    euler = board.create('line', [i1, i2], {
        strokeWidth: 2,
        strokeColor:'#901B77'
    });
    board.update();
})();