Three perpendiculars to tangents and chord of a circle with auxiliary lines

						var board = JXG.JSXGraph.initBoard('box1', {
boundingbox: [-11, 9, 8, -10],showNavigation:false, showcopyright: false, axis: false,
});

var p1 = board.create('point', [-5.5, 2.0],{name:'O',face:'',label:{offset:[-20,0]}});
var c1 = board.create('circle', [p1, 4],);
var p2 = board.create('point', [6.0, 1.5],{name:'P',face:'',label:{offset:[-5,10]} });
var t1 = board.create('tangent', [c1,p2], {visible:false}); 
var i1 = board.create('intersection', [c1,t1,0],{face:'',label:{offset:[-2,10]}});
var i2 = board.create('intersection', [c1,t1,1],{face:'',label:{offset:[-5,-10]}});

var t2 = board.create('tangent', [c1,i1]);
var t3 = board.create('tangent', [c1,i2]);

var l1 = board.create('segment', [i1,i2]);
var g1 = board.create('glider', [-9.44, 1.37, c1],{name:'Q',label:{offset:[-18,0]}});
var pp1 = board.create('perpendicularpoint', [g1, t2],{face:''});
var l2 = board.create('segment', [g1, pp1],);
var pp2 = board.create('perpendicularpoint', [g1, t3],{face:''});
var l3 = board.create('segment', [g1, pp2],);
var pp3 = board.create('perpendicularpoint', [g1,l1],{face:''});
var l4 = board.create('segment', [g1, pp3],);
var l5 = board.create('segment', [g1, i1],{dash:2});
var l6 = board.create('segment', [g1, i2],{dash:2});