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Apollonius and Polarity - Universal Hyperbolic Geometry

Insights into Mathematics via YouTube

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This course introduces Universal Hyperbolic Geometry through Apollonius's polarity of a distinguished circle. It develops pole-polar duality in projective geometry and proves the polar independence and polar duality theorems.

Syllabus

Introduction
Circles
Polar duality
Polar independence theorem
Proof of theorem
Exercises
Polar duality theorem
Notation

Taught by

Insights into Mathematics

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