• Thumbnail for Transversal (geometry)
    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...
    11 KB (1,341 words) - 18:28, 21 April 2025
  • Look up transversal in Wiktionary, the free dictionary. Transversal may refer to: Transversal (combinatorics), a set containing exactly one member of...
    593 bytes (100 words) - 22:04, 3 February 2017
  • by a third straight line (a transversal) in the same plane, the corresponding angles of intersection with the transversal are congruent. Since these are...
    23 KB (2,771 words) - 20:35, 16 February 2025
  • Thumbnail for Transversal plane
    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...
    1 KB (137 words) - 07:51, 27 August 2024
  • Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally...
    8 KB (1,057 words) - 07:07, 15 February 2025
  • Thumbnail for History of geometry
    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...
    48 KB (6,299 words) - 05:58, 29 April 2025
  • Thumbnail for Line (geometry)
    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...
    29 KB (4,225 words) - 18:36, 24 April 2025
  • Thumbnail for Polar coordinate system
    detail, see centripetal force. In the modern terminology of differential geometry, polar coordinates provide coordinate charts for the differentiable manifold...
    49 KB (6,702 words) - 21:47, 13 May 2025
  • 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....
    10 KB (1,825 words) - 07:17, 13 May 2024
  • 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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  • Thumbnail for Contact geometry
    In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying...
    20 KB (2,527 words) - 20:50, 23 May 2025
  • heavily into the Geometrical relations of numbers establishing his Transversal (geometry) theorem. Thābit described a generalized proof of the Pythagorean...
    29 KB (3,235 words) - 07:46, 14 May 2025
  • Thumbnail for Corresponding sides and corresponding angles
    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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  • Thumbnail for Regulus (geometry)
    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...
    4 KB (585 words) - 13:59, 15 July 2024
  • Thumbnail for Perpendicular
    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...
    15 KB (2,314 words) - 18:12, 19 May 2025
  • Thumbnail for Helly's theorem
    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...
    9 KB (958 words) - 05:59, 1 March 2025
  • Thumbnail for Intersection (geometry)
    this point (see diagram): a) different tangent lines (transversal intersection, after transversality), or b) the tangent line in common and they are crossing...
    20 KB (3,915 words) - 20:51, 10 September 2024
  • A transverse mode of electromagnetic radiation is a particular electromagnetic field pattern of the radiation in the plane perpendicular (i.e., transverse)...
    13 KB (1,831 words) - 09:54, 28 February 2025
  • {\mathcal {S}}=({\mathcal {S}}^{1},\dots ,{\mathcal {S}}^{n})} of n pairwise transversal and orthogonal foliations of connected submanifolds of codimension 1...
    4 KB (495 words) - 09:18, 19 April 2022
  • Thumbnail for Latin square
    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...
    31 KB (3,757 words) - 23:21, 29 April 2025
  • Thumbnail for Skew lines
    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...
    10 KB (1,353 words) - 07:34, 15 March 2025
  • 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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  • Thumbnail for Spacetime
    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...
    132 KB (19,765 words) - 22:57, 29 May 2025
  • Thumbnail for Triatomic molecule
    {\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...
    3 KB (378 words) - 01:05, 3 February 2024
  • Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine...
    12 KB (1,527 words) - 08:52, 7 February 2025
  • 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...
    3 KB (370 words) - 23:29, 2 May 2025
  • 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 /...
    44 KB (7,436 words) - 02:06, 27 May 2025
  • Thumbnail for Ceva's theorem
    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...
    14 KB (1,930 words) - 16:50, 17 April 2025
  • Thumbnail for Track geometry
    Track geometry is concerned with the properties and relations of points, lines, curves, and surfaces in the three-dimensional positioning of railroad track...
    23 KB (3,080 words) - 00:29, 14 December 2024
  • {F}}} are least area surfaces. Calegari, Danny (2007). Foliations and the Geometry of 3-Manifolds. Clarendon Press. Alvarez Lopez, Jesús A. (1990). "On riemannian...
    3 KB (392 words) - 03:48, 19 November 2024