In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether...
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Look up transversal in Wiktionary, the free dictionary. Transversal may refer to: Transversal (combinatorics), a set containing exactly one member of...
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by a third straight line (a transversal) in the same plane, the corresponding angles of intersection with the transversal are congruent. Since these are...
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In geometry, a transversal plane is a plane that intersects (not contains) two or more lines or planes. A transversal plane may also form dihedral angles...
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Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally...
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line (called the transversal), and the interior angles between the two lines and the transversal lying on one side of the transversal add up to less than...
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dimension In the context of determining parallelism in Euclidean geometry, a transversal is a line that intersects two other lines that may or not be parallel...
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Polar coordinate system (redirect from Radial distance (geometry))
detail, see centripetal force. In the modern terminology of differential geometry, polar coordinates provide coordinate charts for the differentiable manifold...
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necessary when a problem contains transversals in addition to cevians. Any vertex that is on both sides the transversal crosses will have a split mass....
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geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry...
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In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying...
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heavily into the Geometrical relations of numbers establishing his Transversal (geometry) theorem. Thābit described a generalized proof of the Pythagorean...
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Corresponding sides and corresponding angles (category Geometry)
between sides v and w. Transversal (geometry) § Corresponding angles Townsend, Richard (1865). Chapters on the Modern Geometry of the Point, Line, and...
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a transversal which intersects an element of R only once, and such that every point on a transversal lies on a line of R. The set of transversals of...
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Perpendicular (redirect from Perpendicular (geometry))
In geometry, two geometric objects are perpendicular if they intersect at right angles, i.e. at an angle of 90 degrees or π/2 radians. The condition of...
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Helly's theorem (category Geometric transversal theory)
Helly's theorem is a basic result in discrete geometry on the intersection of convex sets. It was discovered by Eduard Helly in 1913, but not published...
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this point (see diagram): a) different tangent lines (transversal intersection, after transversality), or b) the tangent line in common and they are crossing...
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A transverse mode of electromagnetic radiation is a particular electromagnetic field pattern of the radiation in the plane perpendicular (i.e., transverse)...
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{\mathcal {S}}=({\mathcal {S}}^{1},\dots ,{\mathcal {S}}^{n})} of n pairwise transversal and orthogonal foliations of connected submanifolds of codimension 1...
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squares have no transversal. For example, when n is even, an n-by-n Latin square in which the value of cell i,j is (i+j) mod n has no transversal. Here are...
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Skew lines (category Elementary geometry)
skew lines all meet three other skew lines, any transversal of the first set of three meets any transversal of the second set. In higher-dimensional space...
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the transverse position of nucleon j {\displaystyle j} . At high energies, the above formalism simplifies by focusing on transverse geometry and neglecting...
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Spacetime (redirect from Spacetime geometry)
of the 20th century, the assumption had been that the three-dimensional geometry of the universe (its description in terms of locations, shapes, distances...
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Triatomic molecule (section Geometry)
{\displaystyle \omega _{s1}={\sqrt {\frac {k_{1}}{m_{A}}}}} Symmetric transversal vibrations with frequency ω s 2 = 2 k 2 M m A m B {\displaystyle \omega...
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Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine...
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Normal crossing singularity (category Algebraic geometry)
which generalize the smooth divisors. Intuitively they cross only in a transversal way. Let A be an algebraic variety, and Z = ⋃ i Z i {\displaystyle Z=\bigcup...
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Lie groupoid (category Differential geometry)
H 0 {\displaystyle H_{1}\rightrightarrows H_{0}} preserves their transverse geometry, i.e. it induces: a homeomorphism between the orbit spaces G 0 /...
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Ceva's theorem (category Affine geometry)
In Euclidean geometry, Ceva's theorem is a theorem about triangles. Given a triangle △ABC, let the lines AO, BO, CO be drawn from the vertices to a common...
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Track geometry is concerned with the properties and relations of points, lines, curves, and surfaces in the three-dimensional positioning of railroad track...
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{F}}} are least area surfaces. Calegari, Danny (2007). Foliations and the Geometry of 3-Manifolds. Clarendon Press. Alvarez Lopez, Jesús A. (1990). "On riemannian...
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