Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') is a branch of mathematics...
100 KB (9,874 words) - 21:49, 13 August 2024
In geometry, central lines are certain special straight lines that lie in the plane of a triangle. The special property that distinguishes a straight...
13 KB (1,781 words) - 00:54, 15 May 2024
mathematician Shing-Tung Yau expressed a belief in the centrality of geometry in 2010: "Lest one conclude that geometry is little more than a well-calibrated ruler...
20 KB (2,342 words) - 14:35, 6 August 2024
Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel...
18 KB (2,682 words) - 17:03, 16 April 2024
stretching back to antiquity. Computational complexity is central to computational geometry, with great practical significance if algorithms are used...
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time for the Geometry E from 0-80% is 30 minutes. The interior of the Geometry E features two 10.25-inch infotainment screens and a central control screen...
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mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...
56 KB (7,019 words) - 21:44, 8 August 2024
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that...
39 KB (5,094 words) - 22:52, 6 June 2024
In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical...
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Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive...
13 KB (910 words) - 14:17, 27 June 2024
In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication...
26 KB (3,477 words) - 17:46, 19 June 2024
molecular geometry are phosphorus pentafluoride (PF5), and phosphorus pentachloride (PCl5) in the gas phase. The five atoms bonded to the central atom are...
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Geely Geometry (Chinese: 吉利几何; pinyin: Jílì jǐhé), or simply known as Geometry or Geome, is a car marque created by the Chinese car company Geely in April...
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In a tetrahedral molecular geometry, a central atom is located at the center with four substituents that are located at the corners of a tetrahedron....
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relationship between curves defined by different equations. Algebraic geometry occupies a central place in modern mathematics and has multiple conceptual connections...
61 KB (7,500 words) - 06:41, 31 July 2024
lie on one line. The proper setting for this concept is in projective geometry where there will be no special cases due to parallel lines since all lines...
5 KB (638 words) - 19:42, 5 June 2024
The linear molecular geometry describes the geometry around a central atom bonded to two other atoms (or ligands) placed at a bond angle of 180°. Linear...
3 KB (346 words) - 18:01, 16 July 2024
The coordination geometry of an atom is the geometrical pattern defined by the atoms around the central atom. The term is commonly applied in the field...
12 KB (689 words) - 08:18, 26 January 2024
The term blade geometry refers to the physical properties of a sword blade: cross-section (or grind) and taper. Blade geometry is a crucial aspect of...
3 KB (430 words) - 10:36, 22 July 2024
arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around...
15 KB (1,464 words) - 19:56, 6 May 2024
Kähler manifold (redirect from Special Kähler geometry)
projective variety is a Kähler manifold. Hodge theory is a central part of algebraic geometry, proved using Kähler metrics. Since Kähler manifolds are equipped...
33 KB (4,736 words) - 02:51, 10 August 2024
Molecular geometry is the three-dimensional arrangement of the atoms that constitute a molecule. It includes the general shape of the molecule as well...
23 KB (2,310 words) - 14:26, 4 May 2024
paradox Gibson, C. G. (2003). "7.1 Midpoint Loci". Elementary Euclidean Geometry: An Introduction. Cambridge University Press. pp. 65–68. ISBN 9780521834483...
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Geometry of numbers is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed...
9 KB (1,023 words) - 20:37, 30 January 2024
a non-collinear arrangement of two adjacent bonds have bent molecular geometry, also known as angular or V-shaped. Certain atoms, such as oxygen, will...
3 KB (328 words) - 17:23, 26 January 2024
seesaw (also known as sawhorse) is a type of molecular geometry where there are four bonds to a central atom with overall C2v molecular symmetry. The name...
6 KB (626 words) - 06:43, 23 May 2023
Homography (redirect from Fundamental theorem of projective geometry)
In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces...
30 KB (3,641 words) - 01:24, 25 February 2024
In solid geometry, a wedge is a polyhedron defined by two triangles and three trapezoid faces. A wedge has five faces, nine edges, and six vertices. A...
4 KB (317 words) - 03:16, 30 January 2024
In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object...
30 KB (3,496 words) - 07:42, 15 June 2024
VSEPR theory (category Molecular geometry)
in chemistry to predict the geometry of individual molecules from the number of electron pairs surrounding their central atoms. It is also named the Gillespie-Nyholm...
45 KB (4,038 words) - 13:09, 14 April 2024