First published in 1940, this book was written by the senior mathematical master at Marlborough College in Wiltshire, England. It was designed as a student textbook and the author aimed to give a pre-university level introduction to the use of coordinates and analytical methods in geometry. With only a basic knowledge of elementary calculus and rectangular Cartesian coordinates required, the book offers many exercises suitable for a beginner and detailed introductions to a large variety of methods and ideas.