Advanced Geometry for High Schools, Synthetic and Analytical: Part I.-Synthetic Geometry; Part II.-Analytical Geometry (Classic Reprint)

Master geometry concepts with clear explanations, proofs, and practical problems.

This edition blends synthetic and analytical approaches to high-school geometry, guiding readers from foundational theorems to problem-solving techniques.

The book presents key ideas through concise definitions, worked proofs, and illustrated figures. It emphasizes center ideas like Ceva’s and Menelaus’ theorems, concurrency, orthocenters, and the area and locus problems that build a practical toolkit for geometry work. Exercises accompany each chapter to reinforce understanding and adaptability to new challenges.

• Learn classic theorems with step-by-step reasoning and visual aids.
• See how synthetic concepts connect with coordinate (analytic) methods.
• Practice a wide range of problems, from basic to more challenging applications.
• Develop skills in identifying when to apply specific theorems and techniques.

Ideal for students seeking a solid foundation in both synthetic and analytical geometry, as well as for enthusiasts who enjoy structured, exercise-driven learning.