import flash.utils.Timer;
import flash.events.TimerEvent;

var ax:Number = 250;
var ay:Number = 200;

this.graphics.lineStyle(1,0x000000);
this.graphics.moveTo(ax,ay);

var t:Timer = new Timer(1);
t.addEventListener(TimerEvent.TIMER, ticker);

var tick:Number = 0;
var rad:Number = 0;

function ticker(e:TimerEvent) {
    ax += Math.sin(tick/10)*rad/10;
    ay += Math.cos(tick/10)*rad/10;
    this.graphics.lineTo(ax,ay);
    tick++;
    rad=rad+.3;
}

t.start();