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the correspondence in size, form, and arrangement of parts on opposite sides of a plane, line, or point; regularity of form or arrangement in terms of like, reciprocal, or corresponding parts.
the proper or due proportion of the parts of a body or whole to one another with regard to size and form; excellence of proportion.
beauty based on or characterized by such excellence of proportion.

a geometrical or other regularity that is possessed by a mathematical object and is characterized by the operations that leave the object invariant:
A circle has rotational symmetry and reflection symmetry.
a rotation or translation of a plane figure that leaves the figure unchanged although its position may be altered.

Physics. a property of a physical system that is unaffected by certain mathematical transformations as, for example, the work done by gravity on an object, which is not affected by any change in the position from which the potential energy of the object is measured.
noun (pl) -tries
similarity, correspondence, or balance among systems or parts of a system
(maths) an exact correspondence in position or form about a given point, line, or plane See symmetrical (sense 2)
beauty or harmony of form based on a proportionate arrangement of parts
(physics) the independence of a property with respect to direction; isotropy

1560s, “relation of parts, proportion,” from Latin symmetria, from Greek symmetria “agreement in dimensions, due proportion, arrangement,” from symmetros “having a common measure, even, proportionate,” from syn- “together” (see syn-) + metron “meter” (see meter (n.2)). Meaning “harmonic arrangement of parts” first recorded 1590s. Symmetrophobia is from 1809, supposed to be evident in Egyptian temples and Japanese art.

symmetry sym·me·try (sĭm’ĭ-trē)
Exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a center or an axis.

An exact matching of form and arrangement of parts on opposite sides of a boundary, such as a plane or line, or around a central point or axis.

Physics See invariance.

In geometry, the equivalence, point for point, of a figure on opposite sides of a point, line, or plane.


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