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This lecture introduces the history of geometry in architecture, focusing on the transition from classical to projective geometry. It explores the close relationship between architectural history and geometry, highlighting key figures like Euclid, Vitruvius, and Desargues. The course covers topics such as non-Euclidean geometries, projective geometry, and regular polyhedra. Students will also delve into the use of TopSolid software for architectural modeling and fabrication. The lecture emphasizes the importance of understanding geometric principles in architectural design and construction, showcasing the practical applications of geometry in the field of architecture.