The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of ...

The treasure island problem -- The nine-point circle -- Morley's theorem -- The hiker's path -- The shortest highway -- Steiner's minimum distance problem -- The Pythagorean theorem -- Congruence, ...

1. The Pythagorean Theorem -- 2. Ceva's Theorem -- 3. Perpendicular Bisectors; Concurrence -- 4. The Nine-Point Circle and Euler Line -- 5. The Taylor Circle -- 6. Coordinate Systems with Respect to a ...

LLMs can generate feedback on their work, use it to improve the output, and repeat this process iteratively. - madaan/self-refine ...