Quadrature & Rectification

This lecture covers the historical problem of quadrature of the circle, where Euclid's method of decomposing polygons into triangles is explained. It also delves into Archimedes' approximation of pi and the construction of regular polygons. The impossibility of trisecting an angle using only a ruler and compass is demonstrated, leading to the introduction of mechanical and mathematical instruments. The use of the conchoid in architecture, specifically in determining the curvature of columns, is also discussed.