(redirected from Group of isometries)
Also found in: Thesaurus, Medical, Encyclopedia.


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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.


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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014


(aɪˈsɒm ɪ tri)

1. equality of measure.
2. equality with respect to height above sea level.
[1940–45; iso- + -metry]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.


equality of measure. — isometric, isometrical, adj.
See also: Measurement
-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.isometry - the growth rates in different parts of a growing organism are the same
growing, 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 level
elevation - 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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.


[aɪˈsɒmɪtrɪ] n (Math) → isometria
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
It is well known [3] that, for a Riemannian manifold with metric [g.sub.ab] and admitting [G.sub.m] as the maximal group of isometries, [H.sub.r] could be at the most of the order r = m + 1.
This property would imply that the Universe admits a six-parameter group of isometries whose surfaces of transitivity are spacelike three-surfaces of constant curvatures.
For [a.sub.12] = [a.sub.23] = 1 we have the subgroup [B.sub.6] [subset] [H.sub.8]-the group of isometries of the Galilean space [G.sub.3]:

Full browser ?