TY - BOOK AU - Hang,Kim Hoo AU - AU - Wang,Haibin AU - TI - Solving problems in geometry: insights and strategies T2 - Mathematical olympiad series SN - 9789814590723 (hardcover : alk. paper) U1 - 516.076 23 PY - 2018/// CY - New Jersey, PB - World Scientific, KW - Geometry KW - Problems, exercises, etc N1 - Chapter 1 Congruent Triangles 1.1 Preliminaries 1.2 Congruent Triangles 1.3 Circumcenter and Incenter of a Triangle 1.4 Quadrilaterals 1.5 Exercises Chapter 2 Similar Triangles 2.1 Area of a Triangle 2.2 Intercept Theorem 2.3 Similar Triangles 2.4 Introduction to Trigonometry 2.5 Ceva's Theorem and Menelaus' Theorem 2.6 Exercises Chapter 3 Circles and Angles 3.1 Angles inside a Circle 3.2 Tangent of a Circle 3.3 Sine Rule 3.4 Circumcenter, Incenter and Orthocenter 3.5 Nine-point Circle 3.6 Exercises Chapter 4 Circles and Lines 4.1 Circles and Similar Triangles 4.2 Intersecting Chords Theorem and Tangent Secant Theorem 4.3 Radical Axis 4.4 Ptolemy's Theorem 4.5 Exercises Chapter 5 Basic Facts and Techniques in Geometry 5.1 Basic Facts 5.2 Basic Techniques 5.3 Constructing a Diagram 5.4 Exercises Chapter 6 Geometry Problems in Competitions 6.1 Reverse Engineering 6.2 Recognizing a Relevant Theorem 6.3 Unusual and Unused Conditions 6.4 Seeking Clues from the Diagram 6.5 Exercises Insights into Exercises Solutions to Exercises ER -