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diff --git a/chapter2/newpoint.cxx b/chapter2/newpoint.cxx
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+// FILE: newpoint.cxx
+// CLASS IMPLEMENTED: point (See newpoint.h for documentation.)
+
+#include <iostream>
+#include <math.h>
+#include "newpoint.h"
+using namespace std;
+
+namespace main_savitch_2B
+{
+    point::point(double initial_x, double initial_y)
+    {
+	x = initial_x;   // Constructor sets point to a given position
+	y = initial_y;
+    }
+
+    void point::shift(double x_amount, double y_amount)
+    {
+	x += x_amount;
+	y += y_amount;   
+    }
+
+    void point::rotate90( )
+    {
+	double new_x;
+	double new_y;
+
+	new_x = y;  // For a 90 degree clockwise rotation the new y is -1
+	new_y = -x; // times original x, and the new x is the original y
+	x = new_x;
+	y = new_y;   
+    }
+
+    bool operator ==(const point& p1, const point& p2)
+    {
+	return
+            (p1.get_x( ) == p2.get_x( )) 
+            &&
+            (p1.get_y( ) == p2.get_y( ));
+    }
+
+    bool operator !=(const point& p1, const point& p2)
+    {
+	return !(p1 == p2);
+    }
+
+    point operator +(const point& p1, const point& p2)
+    {
+	double x_sum, y_sum;
+	
+	// Compute the x and y of the sum
+	x_sum = (p1.get_x( ) + p2.get_x( ));
+	y_sum = (p1.get_y( ) + p2.get_y( ));
+	point sum(x_sum, y_sum);
+	return sum;
+    }
+
+    ostream& operator <<(ostream& outs, const point& source)
+    // Library facilities used: iostream
+    {
+	outs << source.get_x( ) <<  " "  << source.get_y( );
+	return outs;
+    }
+
+    istream& operator >>(istream& ins, point& target)
+    // Library facilities used: iostream
+    // Friend of: point class
+    {
+	ins >> target.x >> target.y;
+	return ins;
+    }
+
+    int rotations_needed(point p)
+    {
+	int answer;
+	
+	answer = 0;
+	while ((p.get_x( ) < 0) || (p.get_y( ) < 0))
+        {
+	    p.rotate90( );
+	    ++answer;
+	}
+	return answer;
+    }
+
+    void rotate_to_upper_right(point& p)
+    {
+	while ((p.get_x( ) < 0) || (p.get_y( ) < 0))
+	    p.rotate90( );
+    }
+
+    double distance(const point& p1, const point& p2)
+    // Library facilities used: cmath 
+    {
+	double a, b, c_squared;
+
+	// Calculate differences in x and y coordinates
+	a = p1.get_x( ) - p2.get_x( ); // Difference in x coordinates
+	b = p1.get_y( ) - p2.get_y( ); // Difference in y coordinates
+	
+	// Pythagorean Theorem to calculate square of distance between points
+	c_squared = a*a + b*b;
+
+	return sqrt(c_squared); // sqrt calculates square root (from math.h)
+    }
+
+    point middle(const point& p1, const point& p2)
+    {
+	double x_midpoint, y_midpoint;
+
+	// Compute the x and y midpoints
+	x_midpoint = (p1.get_x( ) + p2.get_x( )) / 2;
+	y_midpoint = (p1.get_y( ) + p2.get_y( )) / 2;
+	
+	// Construct a new point and return it
+	point midpoint(x_midpoint, y_midpoint);
+	return midpoint;
+    }
+}
+