1. Measuring line segments
2. Measuring angles
3. The triangle inequality
4. Congruent figures
5. Triangle congruence tests
6. Isosceles triangles
7. Circle
8. Straightedge and compass constructions
9. Parallel lines
10. Right triangles
11. Parallelograms
12. Rectangle, rhombus, square
13. Graph paper
14. Equilateral triangles
15. Midsegment of a triangle
16. Intercept theorem
17. Trapezoid
18. Simple inequalities
19. Reflection symmetry
20. Central symmetry
21. Angles in a circle
22. Tangents
23. Two circles
24. Circumscribed circle and perpendicular bisectors
25. Inscribed circle (incircle). Bisectors
26. Inscribed and circumscribed quadrilaterals
27. Area
28. The Pythagorean Theorem
29. Similarity
30. Coordinates on a line
31. Coordinates on a plane
32. Common measure
33. Trigonometry

Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving.

The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. --- summary provided by publisher