Ubiquitous Harmonic Relation English 2008

The harmonic relation, 1/a + 1/b = 1/c, expresses a wonderful connection among three variables – the sum of the reciprocals of two variables being the reciprocal of the third. Unassumingly, this magnificent equation has made its presence felt in many and diverse applications such as optics, electric circuits and planetary motion. It finds expression in a variety of geometric figures. Many algebraic equations reduce to this simple statement. The author has taken it upon himself to illustrate the beauty and utility of this fascinating equation. By the end of the journey, the reader will realize the truly ubiquitous nature of the harmonic relation. It is hoped that this book will inspire and delight the reader and lead to an appreciation of the splendor of mathematics.