isometry

[ahy-som-i-tree] /aɪˈsɒm ɪ tri/
noun
1.
equality of measure.
2.
Biology. equal growth rates in two parts of a developing organism.
3.
Geography. equality with respect to height above sea level.
4.
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; < Greek isometría. See iso-, -metry
Examples from the web for isometry
  • Given two figures that are images of each other under an isometry, find the isometry and describe it completely.
  • Identify precisely which isometry can be used to map onto.
  • It is a subgroup of the isometry group of the space concerned.
British Dictionary definitions for isometry

isometry

/aɪˈsɒmɪtrɪ/
noun
1.
(maths) rigid motion of a plane or space such that the distance between any two points before and after this motion is unaltered
2.
equality of height above sea level
Word Origin and History for isometry
n.

1941, from Greek isometria "equality of measure," from iso- (see iso-) + metria "a measuring" (see -metry).

isometry in Science
isometry
  (ī-sŏm'ĭ-trē)   

  1. Equality of measure.

  2. Equality of elevation above sea level.

  3. 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.


isometry in Technology

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)