Biology. equal growth rates in two parts of a developing organism.

Geography. equality with respect to height above sea level.

Mathematics. a function from one metric space onto a second metric space having the property that the distance between two points in the first space is equal to the distance between the image points in the second space.

Origin of isometry

From the Greek word isometría, dating back to 1940–45. See iso-, -metry

A function between two metric spaces (such as two coordinate systems) which preserves distances. A rotation or translation in a plane is an isometry, since the distances between two points on the plane remain the same after the rotation or translation.