UNSW - Universal Hyperbolic Geometry

UNSW - Universal Hyperbolic Geometry. This is a collection of video lectures on Universal Hyperbolic Geometry given by UNSW's Professor NJ Wildberger. The course explains a new, simpler and more elegant theory of non-Euclidean geometry; in particular hyperbolic geometry. It is a purely algebraic approach which avoids transcendental functions like log, sin, tanh etc, relying instead on high school algebra and quadratic equations. The theory is more general, extending beyond the null circle, and connects naturally to Einstein's special theory of relativity.

Lecture 01 - Introduction

Lecture 02 - Apollonius and Polarity

Lecture 03 - Apollonius and Harmonic Conjugates

Lecture 04 - Pappus' Theorem and the Cross Ratio

Lecture 05 - First Steps in Hyperbolic Geometry

Lecture 06 - The Circle and Cartesian Coordinates

Lecture 07 - Duality, Quadrance and Spread in Cartesian Coordinates

Lecture 8a - The Circle and Projective Homogeneous Coordinates

Lecture 8b - The Circle and Projective Homogeneous Coordinates (cont.)

Lecture 09 - Computations and Homogeneous Coordinates

Lecture 10 - Duality and Perpendicularity

Lecture 11 - Orthocenters Exist!