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...frac{3}{4}|\triangle ABC|</math><br/>similarity: <math>\triangle BGF \sim \triangle BKH</math><br/>ratios: <math>\tfrac{|BH|}{|BC|}=\tfrac{|HK|}{|AB|}=\tfrac{| ...&nbsp;282–283</ref><ref>Claudi Alsina, Roger B. Nelsen: ''Charming Proofs: A Journey Into Elegant Mathematics''. MAA, 2010, {{ISBN|9780883853481}}, p.&n ...

{{Short description|Special triangle based on arbitrary triangle}} ...le:Fuhrmann triangle.svg|thumb|upright=1.5|Fuhrmann triangle (red): <math>\triangle M^\prime_c M^\prime_b M^\prime_a </math> <br/> mid arc points: <math>M_a, M ...

{{short description|Triangle related to a given triangle by two functions}} ...e center function]]. The [[excentral triangle]] is an example of a central triangle. The central triangles have been classified into three types based on the p ...

...[[ellipse]] and an [[equilateral triangle]] is fatter than a very [[obtuse triangle]]. ...ional geometry can perform much better if their input consists of only fat objects; see the [[#Applications|applications]] section below. ...

...ometry data be stored in any specific format, but instead relies solely on a [[support function]] to iteratively generate closer [[simplex|simplices]] t ...hen looking for the next simplex. This improves performance substantially for polytopes with large numbers of vertices. ...

...projective geometry. One can define a blocking set of a [[hypergraph]] as a set that meets all edges of the hypergraph. ...g sets are committees. Blocking sets exist in all projective planes except for the smallest projective plane of order 2, the [[Fano plane]].<ref>{{harvnb| ...

{{short description|A convex polytope whose vertices all have integer Cartesian coordinates}} ...es]] all have [[integer]] [[Cartesian coordinates]].{{r|c}} That is, it is a polytope that equals the [[convex hull]] of its [[integer point]]s.{{r|m}} ...

{{Short description|Solution Concept for Noncooperative games}} ...er satisfies its own constraint, the player is said to be '''satisfied'''. A '''satisfaction equilibrium''', if it exists, arises when all players in th ...

...y)|skeletonization]] in [[category theory]]. Skeletonization is often used for working with examples<ref name="k319">{{cite book |last=Simon |first=Steven ...ows the entire categorical structure of a fusion category to be encoded in a finite amount of [[Complex number|complex numbers]], arranged into [[Tensor ...

...from a minimum of 0 for the points on the horizontal and vertical axes to a maximum at the four diagonal points on the unit circle.]] ...icloidalRadioGeneratriz y Directriz.png|thumb|A [[hypocycloid]] that forms a self-crossing hedgehog]] ...

[[File:Icosahedral tensegrity structure.png|thumb|upright|A [[tensegrity]] icosahedron]] ...ge University Press |orig-year=1917 |year=2003 |isbn=3-12-539683-2}}}}) is a [[polyhedron]] with 20 faces. The name comes {{ety|grc|''εἴκοσι'' (eíkosi)| ...

...udying derived categories as geometric objects of themselves does not have a standardized name. ...ed category of <math>\mathbb{P}^1</math> is one of the motivating examples for derived non-commutative schemes due to its easy categorical structure. Reca ...

A '''zone diagram''' is a certain geometric object which a variation on the notion of [[Voronoi diagram]]. It was introduced by [[Tets Formally, it is a fixed point of a certain function. Its existence or uniqueness are not clear in advance and ...

{{Short description|A mathematical statement which always holds true}} ...e based on [[observation]]s, and try to describe or [[prediction|predict]] a range of [[natural phenomena]].<ref>{{OED|law of nature}}</ref> The more si ...

...cs)|stack]] over [[differentiable manifold]]s which admits an atlas, or as a [[Lie groupoid]] up to [[Morita equivalence]].<ref>{{Cite journal|last=Bloh ...tics and Physics |author-link2=Alan Weinstein|date=2008|chapter=Group-like objects in Poisson geometry and algebra |series=Contemporary Mathematics |url=http: ...

...e and/or answer extremal questions about families of discrete objects with a prescribed set of local constraints. Such questions arise naturally in [[ex ...ement of {{math|''E''}})? The hypergraph container lemma provides a method for tackling such questions. ...

...are attenuated, delayed and shifted from the original signal (LOS) due to a finite number of reflectors with known location and [[dielectric]] properti ...simplest model is two-rays which predicts signal variation resulting from a [[ground reflection]] interfering with the loss path. This model is applica ...

...nd [[aerosol]]s causes the [[diffuse sky radiation|sky's light]] to have a defined polarization pattern. The same [[elastic scattering]] processes cause the s ...ases away from the Sun. Thus, the maximum degree of polarization occurs in a circular band 90° from the Sun. In this band, degrees of polarization near ...

...<math>\mathbb Z</math>-indexed persistence modules M and N, represented as a diagram of vector spaces and linear maps between them.]] ...stasios |date=2018-05-30 |title=Theory of interleavings on categories with a flow |class=math.CT |eprint=1706.04095}}</ref> ...

...ction of [[building (mathematics)|buildings]]; they form the apartments of a building. ...f the Coxeter complex associated to a Coxeter system <math>(W,S)</math> is a certain [[representation (mathematics)|representation]] of <math>W</math>, ...