Proofs in chromogeometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger

This video outlines how we approach proofs in chromogeometry. The emphasis is on algebraic relations and polynomial identities. A convenient shorthand notation for anti-symmetric polynomials is introduced, and formulas for the orthocenters and circumceneters of a given triangle, in all three coloured geometries---blue, red and green --- are given.

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

Video Content:
00:00 Chromogeometry and coloured altitudes
5:02 Orthocenters and circumcenters
8:04 Expressions for the three circumcenters of the general triangle

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