import java.applet.Applet;
import java.awt.Graphics;
import java.awt.Color;
import java.lang.Math;

public class Cycloid extends Applet {

	static final int a = 80;
	static final Color colorTable[] = {Color.red,Color.blue,Color.green};

	public void paint (Graphics grph){
		int c = 0;
		for (int b = a/2; b <= a+a/2; b += a/2){
			int g = 0;
			grph.setColor (colorTable[c]);
			int  stx,sty;
			stx = sty = 0;
			for(double th = -Math.PI; th <= 3.0*Math.PI; th += Math.PI / 45.0){
				double x = (double)a * th - b * Math.sin(th);
				double y = (double)a - b * Math.cos(th);
				int gx = (int)(60.0 + x);
				int gy = (int)(120.0 - 0.4 * y);
				if (gx < 0.0 || gx > 639){
					g=0;
					continue;
				}
				if (g!=1){
					stx = gx;
					sty = gy;
					g=1;
				}
				grph.drawLine (stx, sty, gx, gy);
				stx = gx;
				sty = gy;
			}
			c++;
		}
	}
}