# 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.

/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

n.

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

isometry

(ī-sŏm’ĭ-trē)

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)

Tagged: i

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