Lectures related to Projective Geometry: Birth and Foundations

Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Introduction to Non-Euclidean Geometry

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Bézout's Theorem and Cayley-Bacharach

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

Introduction to Euclidean Elements

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

Introduction to Conic Sections in Space

Covers the introduction to conic sections in space, focusing on ellipses and their properties.

Ellipses and Conics

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Harmonic Ratio in Geometry

Explores harmonic ratio in geometry, covering bisectors, harmonic segments, polyhedra, spatial curves, and historical perspectives.