Archimedes' Area Formula for Archimedean de Casteljau Bezier Cubics - Lecture 8

Explore a groundbreaking cubic version of Archimedes' famous Parabolic Area Formula in this 29-minute video lecture. Delve into the world of de Casteljau Bezier curves, focusing on a special class called Archimedean cubics. Discover how the cubic area formula mirrors the parabolic case, including the significant 4/3 constant relating cubic sector area to inscribed triangle area. Investigate the fascinating geometry connected to the Archimedean condition. Part of a series on Algebraic Calculus and de Casteljau Bezier curves, this lecture offers valuable insights for mathematics enthusiasts and students seeking to deepen their understanding of calculus and geometric principles.

Algebraic Calculus and dCB curves 8: Archimedes' area formula for a class of dCB cubics | Wild Egg