geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain...

circles Kepler triangle Kobon triangle problem Kosnita's theorem Leg (geometry) Lemoine's problem Lester's theorem List of triangle inequalities Mandart inellipse...

Friedrichs's inequality Gagliardo–Nirenberg interpolation inequality Gårding's inequality Grothendieck inequality Grunsky's inequalities Hanner's inequalities Hardy's...

is, the two triangles are similar. List of triangle inequalities Pedoe, Daniel (December 1941). "An Inequality Connecting Any Two Triangles". The Mathematical...

use of similar ‹ and › signs as brackets Inclusion (set theory) Inequation Interval (mathematics) List of inequalities List of triangle inequalities Partially...

Association of America, p. 56, ISBN 9780883853429 Svrtan, Dragutin; Veljan, Darko (2012), "Non-Euclidean versions of some classical triangle inequalities", Forum...

geometry, Barrow's inequality is an inequality relating the distances between an arbitrary point within a triangle, the vertices of the triangle, and certain...

of triangle inequalities List of triangle topics Pedal triangle Pedoe's inequality Pythagorean theorem Pythagorean triangle Right triangle Triangle inequality...

vertex. List of triangle inequalities Isoperimetric inequality Martin Lukarevski, The circummidarc triangle and the Finsler-Hadwiger inequality, Math....

Isoperimetric point List of triangle inequalities Planar separator theorem Mixed volume Blåsjö, Viktor (2005). "The Evolution of the Isoperimetric Problem"...

two right angles. List of triangle inequalities Alsina, Claudi; Nelsen, Roger B. (2007), "A visual proof of the Erdős-Mordell inequality", Forum Geometricorum...

Ono's inequality is a theorem about triangles in the Euclidean plane. In its original form, as conjectured by Tôda Ono (小野藤太) in 1914, the inequality is...

An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, the equilateral...

}}} . List of triangle inequalities Isoperimetric inequality Hadwiger–Finsler inequality Claudi Alsina, Roger B. Nelsen: Geometric Proofs of the Weitzenböck...

In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge...

mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative...

triangle with integer sides and integer area. List of triangle inequalities One-seventh area triangle, an inner triangle with one-seventh the area of...

the tendency of social classes to remain stable across generations maintaining most of their inequalities as well. Such inequalities include differences...

Heronian triangle (or Heron triangle) is a triangle whose side lengths a, b, and c and area A are all positive integers. Heronian triangles are named...

In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example,...

a triangle then the triangle inequality states that c ≤ a + b , {\displaystyle c\leq a+b,} with equality only in the degenerate case of a triangle with...

An integer triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational...

of being proportional to squared Euclidean distance, the cosine distance is not a true distance metric; it does not exhibit the triangle inequality property...

geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement or scale...

Grace-Danielsson inequalities for nested triangles and tetrahedra: A derivation and generalisation using quantum information theory". Journal of Geometry. 106...

the convexity of { x ∈ R m : ‖ x ‖ ∞ = 1 } {\displaystyle \{x\in \mathbb {R} ^{m}:\|x\|_{\infty }=1\}} and by the triangle inequality. This quadratic...

by inequalities involving homomorphism densities associated to a graph. The following are a sequence of examples relating the density of triangles to...

stronger large deviation inequalities (so called "sub-Gaussian inequalities") and that it satisfies the elliptic Harnack inequality without satisfying the...

(or integral) inequalities, derived from differential (respectively, integral) equations by replacing the equality sign with an inequality sign, form a...

List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List of mathematical functions List...