Projective geometry

Related lectures (28)

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Explores the historical development of projective geometry and the contributions of key figures like Alberti and Piero della Francesca.

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

Covers the fundamentals of projective geometry and its applications in architecture.

Explores the Cayley-Bacharach theorem in incidence geometry and introduces elliptic curves with a commutative law.

Covers the simulation of a capacitor and self-heating in a wire using Comsol.

Explores elliptical geometry, focusing on arcs, conic sections, and historical contributions to geometric projective techniques.

Explores traditional stone cutting and assembly techniques, geometric modeling, and the historical development of projective geometry in stereotomy.

Explores the theory of 3 means of Architas in Chapter 5.

Explores examples related to the sphere and the projective plane.

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