A practical and theoretical tour of classical geometry.
This edition presents a wealth of problems, theorems, and guided exercises drawn from a rigorous geometry tradition. Readers will explore foundational ideas and learn to apply them through worked examples and student-friendly prompts.
This book gathers topics that build a deep understanding of geometric relationships. It includes definitions, proofs, and a broad set of exercises on circles, tangents, chords, harmonic ranges, and concurrent lines, as well as classic results like Menelaus’ and Ceva’s theorems. The material emphasizes problem solving and method, suitable for study and classroom work.
- How to identify and use radical axes and coaxial circle systems.
- Techniques for drawing and reasoning about tangents, chords, and inscribed figures.
- Constructions and proofs involving harmonic pencils, projective relationships, and complete quadrilaterals.
- Guided exercises that connect theorems to practical geometry problems.
Ideal for students of geometry, teachers preparing lessons, and anyone seeking a solid, problem-driven approach to geometric theory and practice.