Chromogeometry and the Omega triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger

Chromogeometry allows us to study not just one, but three Euler lines of a triangle. One for each of the three fundamental planar geometries: Euclidean (blue) and the two relativistic geometries called red and green. These Euler lines turn out to be nothing but the medians of the triangle of orthocenters of the original triangle, called the Omega triangle. Many interesting features arise relating orthocenters, circumcenters and nine-point centers of different colours.

This video is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry.

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