Regular Pentagon ConstructionExplores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.
Arc Length ApproximationExplores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.
Quadrature & RectificationExplores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.