ABSTRACT

At AMG-C, the actual problems were chiefly those that came to us from the Air Force. At that time, U.S. bombers were flying over Germany, where they were attacked by German fighter planes. The bombers were defended by machine gunners, so the essential problem involved how to aim the machine guns at the fighter planes. As background, we needed to study motion of airplanes; these angular motions involved essentially three angles of roll, pitch, and yaw. Those in turn involved spherical trigonometry, a standard subject

none of us had studied. However, we did learn it in one active evening-new mathematics can indeed be acquired.