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Oriented Circles and Relativistic Geometry II - Wild Linear Algebra

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This lecture develops cyclography for oriented circles, linking homothetic centers, Monge’s theorem, tangency, and Apollonius’s problem to relativistic quadrance and hyperboloids.

Syllabus

Introduction
Lines of circles and homothetic centers
Monge's theorem
Relativistic quadrance between signed circles
Quadrance of zero
Mutually tangent circles
Problem of Apollonius

Taught by

Insights into Mathematics

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