# isometry

(redirected from*Group of isometries*)

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## i·som·e·try

(ī-sŏm′ĭ-trē)*n.*

**1.**Equality of measure.

**2.**Equality of elevation above sea level.

**3.**

*Mathematics*A function between metric spaces which preserves distances, such as a rotation or translation in a plane.

**4.**

*Biology*A proportional change in the size of a part or parts of an organism as the organism grows.

## isometry

(aɪˈsɒmɪtrɪ)*n*

**1.**(Mathematics)

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

**2.**(Physical Geography) equality of height above sea level

## i•som•e•try

(aɪˈsɒm ɪ tri)*n.*

**1.**equality of measure.

**2.**equality with respect to height above sea level.

**isometry**

equality of measure.

See also: Measurement**— isometric, isometrical**,*adj.*ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | isometry - the growth rates in different parts of a growing organism are the samegrowing, growth, ontogenesis, ontogeny, maturation, development - (biology) the process of an individual organism growing organically; a purely biological unfolding of events involved in an organism changing gradually from a simple to a more complex level; "he proposed an indicator of osseous development in children" growth rate, rate of growth - the rate of increase in size per unit time |

2. | isometry - 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"function, mapping, mathematical function, single-valued function, map - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) | |

3. | isometry - equality of elevation above sea levelelevation - distance of something above a reference point (such as sea level); "there was snow at the higher elevations" | |

4. | isometry - equality of measure (e.g., equality of height above sea level or equality of loudness etc.)equality - the quality of being the same in quantity or measure or value or status |

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