Conic Sections: Ellipse, Parabola, Hyperbola

This lecture covers the properties and constructions of conic sections, including ellipse, parabola, and hyperbola. It explains the relationships between these curves and their representations in 2D and 3D spaces, as well as their perspectives. The lecture also delves into the duplication of a cube by a parabola, Aristee's theorem, and sections of conic curves. It explores the Apollonius problem in perspective, the Dandelin spheres associated with conic sections, and the unique properties of each type of conic section.