SOLVING PROBLEMS IN POINT GEOMETRY: Insights and Strategies for Mathematical Olympiad and Competitions

For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving.

Central to this method is the identity approach, which streamlines complex problems ...