Problems and Solutions in Euclidean Geometry

Intended for a second course in Euclidean geometry, this volume is based on classical principles and can be used by students of mathematics as a supplementary text and by mechanical engineers as an aid to developing greater mathematical facility. It features 200 problems of increasing complexity with worked-out solutions, along with hints for additional problems.Each of the eight chapters covers a different aspect of Euclidean geometry: triangles and polygons; areas, squares and rectangles; circles and tangency; ratio and proportion; loci and transversals; geometry of lines and rays; geometry of the circle; and space geometry. The authors list relevant theorems and corollaries, and they state and prove many important propositions. More than 200 figures illustrate the text.