# line+of+symmetry

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**Symmetry combinations**— This article discusses various symmetry combinations.In 2D, mirror image symmetry in combination with n fold rotational symmetry, with the center of rotational symmetry on the line of symmetry, implies mirror image symmetry with respect to lines… …2

**symmetry**— noun ADJECTIVE ▪ perfect, pleasing (esp. BrE) ▪ bilateral, rotational VERB + SYMMETRY ▪ have, possess ▪ …3

**symmetry**— symmetry, proportion, balance, harmony are comparable chiefly as used in the arts of design and decoration to mean a quality which gives aesthetic pleasure and which depends upon the proper relating of details and parts to each other (as in… …4

**symmetry**— [sim′ə trē] n. pl. symmetries [< MFr or L: MFr symmetrie (now symétrie) < L symmetria < Gr < symmetros, measured together < syn , together + metron, a MEASURE] 1. similarity of form or arrangement on either side of a dividing line… …5

**Symmetry**— For other uses, see Symmetry (disambiguation) …6

**symmetry**— /sim i tree/, n., pl. symmetries. 1. 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. 2. the proper or …7

**Symmetry group**— Not to be confused with Symmetric group. This article is about the abstract algebraic structures. For other meanings, see Symmetry group (disambiguation). A tetrahedron can be placed in 12 distinct positions by rotation alone. These are… …8

**Symmetry in mathematics**— For other uses, see Symmetry (disambiguation) and Bilateral (disambiguation). Symmetry occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change… …9

**symmetry**— I (New American Roget s College Thesaurus) Regularity of form Nouns symmetry, proportion, balance, parallelism; uniformity, correspondence, congruity, regularity, regular arrangement; order, harmony, eurythmy; shapeliness, form, beauty,… …10

**symmetry**— sym•me•try [[t]ˈsɪm ɪ tri[/t]] n. pl. tries 1) bio 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 2)… …11

**Line at infinity**— Ideal line redirects here. For the ideal line in racing, see Racing line. In geometry and topology, the line at infinity is a line which is added to the real (affine) plane in order to give closure to, and remove the exceptional cases from, the… …12

**symmetry**— noun (plural tries) Etymology: Latin symmetria, from Greek, from symmetros symmetrical, from syn + metron measure more at measure Date: 1563 1. balanced proportions; also beauty of form arising from balanced proportions 2. the property of being… …13

**symmetry**— Equality or correspondence in form of parts distributed around a center or an axis, at the extremities or poles, or on the opposite sides of any body. [G. symmetria, fr. sym + metron, measure] inverse s. correspondence of the right or left side… …14

**symmetry**— noun /ˈsɪmɪtɹɪ/ a) Exact correspondence on either side of a dividing line, plane, center or axis. b) The satisfying arrangement of a balanced distribution of the …15

**symmetry**— symÂ·meÂ·try || sÉªmÉªtrÉª n. exact correspondence between parts on either side of a central line; proportion, balance between the parts of something …16

**symmetry**— /ˈsɪmətri / (say simuhtree) noun (plural symmetries) 1. the correspondence, in size, form, and arrangement, of parts on opposite sides of a plane, line, or point; regularity of form or arrangement with reference to corresponding parts. 2. the… …17

**symmetry**— n. (pl. ies) 1 a correct proportion of the parts of a thing; balance, harmony. b beauty resulting from this. 2 a a structure that allows an object to be divided into parts of an equal shape and size and similar position to the point or line or… …18

**Translational symmetry**— In geometry, a translation slides an object by a vector a: Ta(p) = p + a.In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation. Discrete translational symmetry is invariance …19

**Reflection symmetry**— Reflection symmetry, line symmetry, mirror symmetry, mirror image symmetry, or bilateral symmetry is symmetry with respect to reflection.In 2D there is an axis of symmetry, in 3D a plane of symmetry. An object or figure which is indistinguishable …20

**Tetrahedral symmetry**— A regular tetrahedron has 12 rotational (or orientation preserving) symmetries, and a total of 24 symmetries including transformations that combine a reflection and a rotation.The group of symmetries that includes reflections is isomorphic to S 4 …