a quasi-Pythagorean identity

Published: 19 November 2022
on channel: Dr Peyam

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Playing with triangles: a quasi-Pythagorean identity. I highlight a beautiful identity coming from geometry, which has to do with equilateral triangles and complex numbers. This has been inspired by a Tweet by Steven Strogatz from Cornell University. For this, we use Euler's formula and rotations, and some very simple algebra. This is a must see for anyone who likes math and education and hard geometry problems with elegant solutions. It is reminiscent of the Pythagorean theorem a^2 + b^2 + c^2 and the binomial formula

anti-Pythagorean theorem:    • the anti Pythagorean theorem?

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