Euler's Theorem

Due to Euler's prolific output, there are a great number of theorems that are know by the name "Euler's theorem." A sampling of these are Euler's displacement theorem for displacement of a rigid body with one point fixed, Euler's distribution theorem for signed distances on a line, Euler's totient theorem for congruences (mod n) of powers of the totient function phi, and Euler's triangle theorem (more commonly called the Euler triangle formula giving the distance between the circumcenter and incenter of a triangle.

See also

Euler's Displacement Theorem, Euler's Distribution Theorem, Euler's Totient Theorem, Euler Triangle Formula

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Cite this as:

Weisstein, Eric W. "Euler's Theorem." From MathWorld--A Wolfram Web Resource.

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