Arithmetics of complex numbers

The underlying JavaScript code

Addition:

        board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 8, -4], axis: true});
        
        var org = board.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
        var x = board.create('point', [2,2], {style:5,fillColor:'blue',name:'x'});
        var y = board.create('point', [-1,-3], {style:5,fillColor:'blue',name:'y'});
        var xy = board.create('point', 
              ["X(x)+X(y)","Y(x)+Y(y)"], {style:7,fillColor:'blue',name:'x+y'});
        var ax =board.create('arrow', [org,x], {strokeColor:'blue'});
        var ay =board.create('arrow', [org,y], {strokeColor:'blue'});
        var axy =board.create('arrow', [org,xy], {strokeColor:'red'});
        var ax2 =board.create('arrow', [x,xy], {strokeColor:'blue',strokeWidth:1,dash:1});
        var ay2 =board.create('arrow', [y,xy], {strokeColor:'blue',strokeWidth:1,dash:1});

Multiplication:

        brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-6, 6, 8, -4], axis: true});
        
        var org2 = brd2.create('point', [0,0], {style:10,visible:true,fixed:true,name:' '});
        var x = brd2.create('point', [1,0], {style:5,fillColor:'blue',name:'x',trace:true});
        var y = brd2.create('point', [0,2], {style:5,fillColor:'red',strokeColor:'red',name:'y',trace:true});
        var xy = brd2.create('point', 
              ["X(x)*X(y)-Y(x)*Y(y)","X(x)*Y(y)+X(y)*Y(x)"], {style:7,fillColor:'green',strokeColor:'green',name:'x*y',trace:true});
        var c = brd2.create('circle',[org2,1],{strokeWidth:1,dash:1});

References

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