# symmetrical

### or symmetric

[si-me-tri-kuh l] /sɪˈmɛ trɪ kəl/
1.
characterized by or exhibiting symmetry; well-proportioned, as a body or whole; regular in form or arrangement of corresponding parts.
2.
Geometry.
1. noting two points in a plane such that the line segment joining the points is bisected by an axis:
Points (1, 1) and (1, −1) are symmetrical with respect to the x-axis.
2. noting a set consisting of pairs of points having this relation with respect to the same axis.
3. noting two points in a plane such that the line segment joining the points is bisected by a point or center:
The points (1, 1) and (−1, −1) are symmetrical with respect to (0, 0).
4. noting a set consisting of pairs of points having this relation with respect to the same center.
3.
Often, symmetric. Mathematics.
1. noting a square matrix that is equal to its transpose.
2. noting a dyad or dyadic that is equal to its conjugate.
3. noting a relation in which one element in relation to a second implies the second in relation to the first.
4.
Botany.
1. divisible into two similar parts by more than one plane passing through the center; actinomorphic.
2. (of a flower) having the same number of parts in each whorl.
5.
Chemistry.
1. having a structure that exhibits a regular repeated pattern of the component parts.
2. noting a benzene derivative in which three substitutions have occurred at alternate carbon atoms.
6.
affecting corresponding parts simultaneously, as certain diseases.
Origin of symmetrical
1745-1755
1745-55; symmetr(y) + -ical
Related forms
symmetricalness, noun
Synonyms
1. balanced, orderly, regular, congruent.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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Examples from the Web for symmetric
Historical Examples
• The extent of the affection in the bones of the legs varies a great deal and usually is not symmetric.

Maximilian Stern
• Secondary manifestations are usually bilateral, and often symmetric in configuration and distribution.

• Fig. 217 shows a triskelion of symmetric spirals turned to the right.

Thomas Wilson
• And over this rich vitality and this symmetric mechanism now reigned only, with the animal life, the mind.

Edward Bulwer-Lytton
• There was a horrible fascination in it—human bodies and lives subjected in slavery to that symmetric monster of the colliery.

D. H. (David Herbert) Lawrence
• In general, if the equation is given arbitrarily, the group will be the symmetric group.

• The normal profile is thus a symmetric cone with a flaring base.

William Harmon Norton
• Keratosis palmaris et plantaris (symmetric keratodermia), as regards the local condition, is a somewhat similar affection.

Henry Weightman Stelwagon
• Our hands, feet, and ears afford other illustrations of symmetric solids.

David Eugene Smith
• But we do note that he described this object as a "lump," which does not suggest the spheroidal or symmetric.

Charles Fort
British Dictionary definitions for symmetric

## symmetric

/sɪˈmɛtrɪk/
1.
(logic, maths) (of a relation) holding between a pair of arguments x and y when and only when it holds between y and x, as … is a sibling of … but not … is a brother of … Compare asymmetric (sense 5), antisymmetric, nonsymmetric
2.
another word for symmetrical (sense 5)

## symmetrical

/sɪˈmɛtrɪkəl/
1.
possessing or displaying symmetry Compare asymmetric
2.
(maths)
1. (of two points) capable of being joined by a line that is bisected by a given point or bisected perpendicularly by a given line or plane: the points (x, y) and (–x, –y) are symmetrical about the origin
2. (of a configuration) having pairs of points that are symmetrical about a given point, line, or plane: a circle is symmetrical about a diameter
3. (of an equation or function of two or more variables) remaining unchanged in form after an interchange of two variables: x + y = z is a symmetrical equation
3.
(chem) (of a compound) having a molecular structure in which substituents are symmetrical about the molecule
4.
(botany) another word for isomerous
5.
Also symmetric. (of a disease, infection, etc) affecting both sides of the body or corresponding parts, such as both legs
Derived Forms
symmetricalness, noun
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for symmetric

1796, from symmetry + -ic.

## symmetrical

1570s (implied in symmetrically), from symmetry + -ical.

Online Etymology Dictionary, © 2010 Douglas Harper
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symmetric in Science
 symmetric (sĭ-mět'rĭk) or symmetrical   (sĭ-mět'rĭk)    Relating to or exhibiting symmetry.Relating to a logical or mathematical relation between two elements such that if the first element is related to the second element, the second element is related in like manner to the first. The relation a = b is symmetric, whereas the relation a > b is not.
The American Heritage® Science Dictionary
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symmetric in Technology
mathematics
1. A relation R is symmetric if, for all x and y,
x R y => y R x
If it is also antisymmetric (x R y & y R x => x == y) then x R y => x == y, i.e. no two different elements are related.
2. In linear algebra, a member of the tensor product of a vector space with itself one or more times, is symmetric if it is a fixed point of all of the linear isomorphisms of the tensor product generated by permutations of the ordering of the copies of the vector space as factors. It is said to be antisymmetric precisely if the action of any of these linear maps, on the given tensor, is equivalent to multiplication by the sign of the permutation in question.
(1996-09-22)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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### Word Value for symmetric

18
20
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