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 ) of powers of the totient function , and Euler's triangle theorem (more commonly called the Euler triangle formula giving the distance between the circumcenter and incenter of a triangle.

# Euler's Theorem

## See also

Euler's Displacement Theorem, Euler's Distribution Theorem, Euler's Totient Theorem, Euler Triangle Formula## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Euler's Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/EulersTheorem.html