Lectures related to Projective Geometry: Historical Overview

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Explores Bézout's theorem and Cayley-Bacharach, discussing intersection multiplicities and linear combinations in projective geometry.

Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.

Introduces orthonormal bases in 3D space and their applications in geometry.

Introduces the fundamental concepts of Euclidean geometry, focusing on the Elements of Euclid and the logical structure of geometric propositions.

Discusses the correction of tangent lines and projective plane curves, exploring topological applications and curve structure.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.