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1
Introduction
2
Examples of viewing plane
3
Point and line duality theorems
4
Proof of point duality theorem
5
Perpendicularity
6
Examples of perpendicular points and lines
7
Altitudes
8
Concurrent lines theorem
9
Collinear points theorem
Description:
Explore the concept of perpendicularity in universal hyperbolic geometry through this in-depth video lecture. Discover how duality defines perpendicularity, distinguishing it from classical hyperbolic geometry by allowing points to be perpendicular, not just lines. Learn about altitudes and delve into the collinear points theorem and concurrent lines theorem using homogeneous coordinates and determinants. Examine various examples of viewing planes, perpendicular points, and lines to gain a comprehensive understanding of these advanced geometric concepts.

Duality and Perpendicularity - Universal Hyperbolic Geometry

Insights into Mathematics
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