Introduction to Conic Sections in Space

This lecture introduces the concept of conic sections in space, focusing on ellipses and their properties. The instructor covers topics such as the Cartesian equation of ellipses, Dandelin's theorem, and the monofocal definition of ellipses. The lecture also explores the construction of triangles and the calculation of parameters for ellipses. Parametric equations and common elements of conic sections are discussed, along with practical applications in CAD software. Students will learn how to use equations to model and analyze conic sections in architectural design.