This stimulating volume offers a broad collection of the principles of geometry and trigonometry, and contains colorful diagrams to bring mathematical principles to life. Subjects are enriched by references to famous mathematicians and their ideas, and the stories are presented in a very comprehensible way. Readers investigate the relationships of points, lines, surfaces, and solids. They study a wealth of facts about figures and, above all, methods to prove the facts. They learn about triangle measure for circular motion, sine, and trigonometric functions that are applied to right triangles.