coplanar lines

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• Skew lines — In geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular… …   Wikipedia

• Plücker coordinates — In geometry, Plücker coordinates, introduced by Julius Plücker in the 19th century, are a way to assign six homogenous coordinates to each line in projective 3 space, P 3. Because they satisfy a quadratic constraint, they establish a one to one… …   Wikipedia

• Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th …   Wikipedia

• Relation (mathematics) — This article sets out the set theoretic notion of relation. For a more elementary point of view, see binary relations and triadic relations. : For a more combinatorial viewpoint, see theory of relations. In mathematics, especially set theory, and …   Wikipedia

• Transversal line — In geometry, a transversal line is a line that passes through two or more other coplanar lines at different points.In Euclidean geometry if lines a and b are parallel, and line t intersects lines a and b , then corresponding angles formed by line …   Wikipedia

• combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium

• Corresponding angles — are formed when a given transversal line crosses two coplanar lines. The corresponding angles are not necessarily congruent. In the event that the corresponding angles are congruent, these angles can be used to determine the degrees of the other… …   Wikipedia

• complete quadrilateral — noun : a figure that is determined by four coplanar lines, and has four sides and three diagonal axes, each two of which cut the other harmonically in three centers of which one or even two may be at infinity * * * Geom. a plane figure composed… …   Useful english dictionary

• Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia

• Metamaterial antenna — This Z antenna tested at the National Institute of Standards and Technology is smaller than a standard antenna with comparable properties. Its high efficiency is derived from the Z element inside the square that acts as a metamaterial, greatly… …   Wikipedia

• Desargues' theorem — Perspective triangles. Corresponding sides of the triangles, when extended, meet at points on a line called the axis of perspectivity. The lines which run through corresponding vertices on the triangles meet at a point called the center of… …   Wikipedia