Geometry: Euclidean Propositions and Architectural Foundations

This lecture delves into Euclid's first proposition, exploring the concept of radical axis and its architectural implications. It discusses the significance of symmetrical triangles, the modern concept of symmetry, and the historical development of geometric principles. The lecture also examines Vitruvius' architectural treatise, focusing on the foundational role of Euclidean geometry in architectural design, particularly in relation to urban planning and the orientation of buildings. The presentation highlights the intersection of geometry, astronomy, and architecture in ancient and modern contexts, emphasizing the enduring relevance of classical geometric principles in contemporary architectural practice.