# isometry

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## isometry

[ī′säm·ə·trē] (mathematics)

A mapping ƒ from a metric space

*X*to a metric space*Y*where the distance between any two points of*X*equals the distance between their images under ƒ in*Y*.A linear isomorphism σ of a vector space

*E*onto itself such that, for a given bilinear form*g, g*(σ*x,*σ*y*)=*g*(*x,y*) for all*x*and*y*in*E*.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## isometry

(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.

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