Pythagorean triples, like 3,4,5 have been a fascination for thousands of years. Now for the first time, a simple elegant system based on these triples has been developed which reveals unexpected applications in many areas of pure and applied mathematics. These include general applications in trigonometry, coordinate geometry (in 2 and 3 dimensions), transformations (in 2 and 3 dimensions), simple harmonic motion, astronomy etc. The easy triple method links these areas and replaces large numbers of apparently unconnected formulae with a single device. This book fully explains the various applications and most of them should be accessible to anyone with a basic understanding of mathematics which a school leaver should have.