//LinesIntersectionPoint.java
// enter a line and a point.  find perpendicular bisector from point thru line.

import java.awt.*;
import javax.swing.*;
import java.text.*;
import java.util.*;

public class LinesIntersectionPoint  extends JApplet {   

    //public static void main (String[] args) {
    public  void init () {    	

        double A, B, C, A2, B2, C2, x1, y1, m, b, m2, b2, xI, yI, d;
        String input;
	StringTokenizer st;
        DecimalFormat d4 = new DecimalFormat ("0.0000");
         
        input = JOptionPane.showInputDialog("Enter coefficients A,B,C of line in standard form: Ax+By=C");
        st = new StringTokenizer(input);
	A = Double.parseDouble(st.nextToken()); 
	B = Double.parseDouble(st.nextToken());
	C = Double.parseDouble(st.nextToken());
        
        input = JOptionPane.showInputDialog("Enter coordinates of point (x,y)");
        st = new StringTokenizer(input);
	x1 = Double.parseDouble(st.nextToken()); 
	y1 = Double.parseDouble(st.nextToken());

	m = -A/B;
	b = C/B;
	
	if (A != 0)
	    A2 = B/A;
	else
	    A2 = 1000000000.0;
	B2 = -1;
	C2 = B/A*x1-y1;
	m2 = -A2/B2;
	b2 = C2/B2;
	
	xI = (b2-b)/(m-m2);
	yI = m*xI+b;
	
	d = Math.sqrt((xI-x1)*(xI-x1) + (yI-y1)*(yI-y1));
	 
  	JOptionPane.showMessageDialog(null, "Given line: A="+d4.format(A)+"  B="+d4.format(B)+"  C="+d4.format(C)+
  		           "  m="+d4.format(m)+"  b="+d4.format(b)+"\n"+ 
                           "Given point: ("+d4.format(x1)+","+d4.format(y1)+")"+"\n"+
  	                   "Perpendicular line: A="+d4.format(A2)+"  B="+d4.format(B2)+"  C="+d4.format(C2)+
  		           "  m="+d4.format(m2)+"  b="+d4.format(b2)+"\n"+ 
                           "Intersection point: ("+d4.format(xI)+","+d4.format(yI)+")"+"\n"+
                           "distance between points="+d4.format(d));
  	          
  }
    
}