Biology. equal growth rates in two parts of a developing organism.
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Geography. equality with respect to height above sea level.
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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: 1940–45; < Greekisometría. 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.
mathematics A mapping of a metric space onto another or onto itself so that the distance between any two points in the original space is the same as the distance between their images in the second space. For example, any combination of rotation and translation is an isometry of the plane. (1997-12-13)