Problems and Solutions in Euclidean Geometry|
by M. N. Aref,William Wernick
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.
Table of Contents for Problems and Solutions in Euclidean Geometry
|Symbols Employed in this Book|
|1. Triangles and Polygons|
|2. Areas, squares, and Rectangles|
|3.Circles and Tangency|
|4. Ratio and Proportion|
|5. Loci and Transversals|
|6. Geometry of Lines and Rays|
|7. Geometry of the Circle|
|8. Space geometry|