Kenneth Peng
Published: 2017-09-19
Total Pages: 108
Get eBook
Explore Euclidean geometry through 64 carefully selected problems and illustrations focusing on similar triangles, cyclic quadrilaterals, triangle centers, power of a point, dilations, and spiral similarity. Geometry Through Problems aims to introduce fascinating results in geometry while encouraging thinking and problem-solving. Every chapter consists of several problems - often presenting famous results. Each solution is challenging to find, but simple and elegant. The only tools needed are taught in a high school geometry class. The difficulty lies in figuring out how to use these tools. Solve these problems while being guided by numerous hints. This book can serve as a concise introduction to Olympiad-level geometry, as a supplement to a geometry class, or as an interesting read to anybody who enjoys problem-solving. Several famous and beautiful results covered include: - The Euler Line - The Nine Point Circle - The Miquel Point - Simson Lines - Napoleon's Theorem - The Radical Center - The Fermat Points - Apollonian Circles - The Isodyamic Points and many more ...