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Orthocenters Exist - Universal Hyperbolic Geometry

Insights into Mathematics via YouTube

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This lecture develops triangle geometry in universal hyperbolic geometry, introducing altitude lines, orthocenters, ortholines, Desargues' theorem, cevians, and polars. It concludes with the orthic axis, orthostar, and ortho-axis.

Syllabus

Introduction
Definitions: couple, triangle, trilateral
Altitude line theorem
Altitude point theorem
Orthocenter theorem
Proof of Orthocenter theorem
Ortholine theorem
Desargues' theorem
Cevians and Desargues' polars
Orthic axis, orthostar and ortho-axis

Taught by

Insights into Mathematics

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