Elements of Euclidean Geometry

This lecture covers the fundamental concepts of Euclidean geometry, including the five blocks of Euclid's Elements, types of propositions, invariance of distance, and alternatives to Euclidean geometry such as hyperbolic and spherical geometries. It also explores the concept of symmetry from ancient times to modern applications, emphasizing the importance of the first proposition of Euclid's Elements and the construction of equilateral triangles.