isometry

[ ahy-som-i-tree ]

/ aɪˈsɒm ɪ tri /

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noun

equality of measure.

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.

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Origin of isometry

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

Words nearby isometry

isometric exercise, isometric period of cardiac cycle, isometrics, isometric scale, isometropia, isometry, isomorph, isomorphic, isomorphic response, isomorphism, isomorphous

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British Dictionary definitions for isometry

isometry

/ (aɪˈsɒmɪtrɪ) /

noun

maths rigid motion of a plane or space such that the distance between any two points before and after this motion is unaltered

equality of height above sea level

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for isometry

isometry

[ ī-sŏm′ĭ-trē ]

Equality of measure.

Equality of elevation above sea level.

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.