Concept

Projective geometry

Related lectures (28)

Scalar Products in 2D and 3D Geometry

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Elliptical Arch Construction

Explores the construction of elliptical arches using a single ellipse arc.

Symmetry in Geometry

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Projective Geometry: Anharmonic Cross Ratio and Conics

Explores anharmonic cross ratio, projective geometry birth, and practical applications.

Introduction to Euclidean Elements

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Projective Geometry: Birth and Foundations

Explores the birth and foundations of projective geometry, including the vanishing point invention and stereotomy.

Inversion & Family of Orthogonal Circles

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

Conics in the Plane: Uniform Description of 3 Conics

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Steric Factors in Organic Chemistry

Explores diastereotopic epochs, vi-disconnections, steric factors, and the chelete effect in organic chemistry, along with the protection of alcohols and types of ethers.

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Projective Geometry: Historical Overview

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

Bézout's Theorem and Cayley-Bacharach

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

Geometric Transformations: Projective Geometry Fundamentals

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

Incidence Geometry & Elliptic Curves

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

Capacitor and Self-Heating in a Wire

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

Elliptical Geometry: Arcs and Conic Sections

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

Geometric Structures: Stereotomy

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

Geometry: Theory of 3 Means of Architas

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

Sphere and Projective Plane

Explores examples related to the sphere and the projective plane.

Introduction to Euclidean Elements

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