import java.applet.Applet;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import javax.swing.JOptionPane;

public class Intersect extends Applet
{  public void init()
   {  String input
         = JOptionPane.showInputDialog("x:");
      x = Integer.parseInt(input);
   }
   
   public void paint(Graphics g)
   {  Graphics2D g2 = (Graphics2D)g;

      double r = 100; // the radius of the circle
      
      // draw the circle

      Ellipse2D.Double circle 
         = new Ellipse2D.Double(0, 0, 2 * r, 2 * r);
      g2.draw(circle);
      
      // draw the vertical line

      Line2D.Double line
         = new Line2D.Double(x, 0, x, 2 * r);
      g2.draw(line);
      
      // compute the intersection points
      
      double a = r;
      double b = r;

      double root = Math.sqrt(r * r - (x - a) * (x - a));
      double y1 = b + root;
      double y2 = b - root;
      
      // draw the intersection points

      final double SMALL_CIRCLE_RADIUS = 2;

      Ellipse2D.Double circle1 = new Ellipse2D.Double(
            x - SMALL_CIRCLE_RADIUS,
            y1 - SMALL_CIRCLE_RADIUS,
            2 * SMALL_CIRCLE_RADIUS,
            2 * SMALL_CIRCLE_RADIUS);
      Ellipse2D.Double circle2 = new Ellipse2D.Double(
            x - SMALL_CIRCLE_RADIUS,
            y2 - SMALL_CIRCLE_RADIUS,
            2 * SMALL_CIRCLE_RADIUS,
            2 * SMALL_CIRCLE_RADIUS);

      g2.draw(circle1);
      g2.draw(circle2);
    
      // label the intersection points

      String label1 = "" + y1;
      String label2 = "" + y2;

      g2.drawString(label1, (float)x, (float)y1);
      g2.drawString(label2, (float)x, (float)y2);
   }
   
   private double x;
}