Geometry
Explore a comprehensive geometry course covering a wide range of topics from ancient Japanese temple problems to modern mathematical olympiad challenges. Delve into fascinating geometric concepts including inscribed shapes, circle properties, area calculations, and proportionality theorems. Tackle engaging problems involving hexagons, parabolas, ellipses, and polyhedra. Learn about historical contributions to geometry, such as the Lunes of Alhazen and Thales' Proportionality Theorem. Discover the golden ratio in art and examine unique geometric properties. Practice solving complex problems using various methods, including applications of calculus and complex plane geometry. Encounter intriguing concepts like Bretschneider's formula and Sangaku (Japanese temple geometry). Enhance your problem-solving skills with olympiad-level questions and teacher examination problems from different countries, providing a global perspective on geometric reasoning and applications.