Problems in Geometry: Theorems and Problems

Preface Plane geometry is an important part in Mathematics since it appears in most Mathematics competitions. In order to solve the hard problems in the competitions, we have to have basic concepts in learning them. This is the reason why this book was written. This is a basic book in plane geometry [...]
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Preface Plane geometry is an important part in Mathematics since it appears in most Mathematics competitions. In order to solve the hard problems in the competitions, we have to have basic concepts in learning them. This is the reason why this book was written. This is a basic book in plane geometry. This book contains three main parts. The first part of it is theorems in plane geometry. In this part, there are 32 theorems. All of them are proved. Additionally, this book also provides some examples about the applications of them in solving problems. The readers should understand clearly about each theorem before they go to other parts of this book. The second part of this book is problems collections. Most of them are the problems that were appeared in the competitions. That part lists many problems. In this part, we intend the readers to try their best in solving each problem. We want the readers to apply what they have learnt in the first part of this book. The readers should know that the best way in learning Mathematics is to do it. Even we cannot solve the problems, we still gain knowledges. It helps us to be familiar in solving skill. Do not feel bad if you cannot solve them since there are only few people can solve all problems in this book without reading the solutions. The final part of this book is solutions to each problem that we listed in the second part of this book. Different from other Mathematical Olympiad books, this book provides the readers with full solutions of each problem. We try as much as we can to help readers to understand well about what they want to learn. This means that we have tried to find the easiest way in solving the problems. We hope the readers gain many techniques in solving geometry problems from this little book. Enjoy your reading Author: Richard S. Hammond