Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

The Circle and Projective Homogeneous Coordinates - Universal Hyperbolic Geometry Lecture 7a

Insights into Mathematics via YouTube

Overview

Explore the foundations of universal hyperbolic geometry in this 38-minute video lecture focusing on projective geometry and its connection to Renaissance art. Learn about the 19th-century view of projective space as one-dimensional subspaces of higher-dimensional affine spaces. Examine the projective line and plane, and discover how they relate to perspective rendering in art. Investigate the representation of a circle as a two-dimensional view of a cone, tracing back to ancient Greek concepts. Delve into affine and projective geometry, perspective and points at infinity, and one-dimensional projective geometry. Gain insights into the relationship between affine space and vector space, providing a comprehensive introduction to this important but often overlooked subject in modern mathematics curricula.

Syllabus

The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger

Taught by

Insights into Mathematics

Reviews

Start your review of The Circle and Projective Homogeneous Coordinates - Universal Hyperbolic Geometry Lecture 7a

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.