Geometry II: Modern Geometric Transformations

This lecture covers the introduction to modern geometry, focusing on geometric transformations and their invariances. It explores various types of geometries defined by transformations, from isometries to projective geometry. The lecture delves into the concept of projective geometry, discussing the transformations that maintain the properties of objects. It also touches on the historical development of geometric projections, from the rule and compass constructions to the introduction of projective geometry by Desargues in 1639. The lecture emphasizes the fundamental concepts of geometry, such as the projection of points and lines, and the significance of different types of geometric transformations.