(noun) equality of measure (e.g., equality of height above sea level or equality of loudness etc.)
(noun) equality of elevation above sea level
(noun) a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; “the isometries of the cube”
(noun) the growth rates in different parts of a growing organism are the same
Source: WordNet® 3.1
isometry (plural isometries)
(mathematics) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.
• Isometry is to metric spaces what isomorphism is to groups.
• merosity, mesority