In metric geometry, comparison triangles are constructions used to define higher bounds on curvature in the framework of locally geodesic metric spaces...

Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle All types of triangles are commonly found...

\mathbf {\operatorname {\textbf {CAT}} } (k)} inequality if there is a comparison triangle Δ ′ {\displaystyle \Delta '} in the model space M k {\displaystyle...

the lower curvature bound is defined via comparison of geodesic triangles in the space to geodesic triangles in standard constant-curvature Riemannian...

A Reuleaux triangle [ʁœlo] is a curved triangle with constant width, the simplest and best known curve of constant width other than the circle. It is formed...

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length...

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 opposite...

Lichnerowicz comparison theorem Eigenvalue comparison theorem Cheng's eigenvalue comparison theorem Comparison triangle Limit comparison theorem, about...

same side lengths as this triangle (see comparison triangle). Consider the angle at the vertex of the flat triangle corresponding to p. The limit of this...

The project management triangle (called also the triple constraint, iron triangle and project triangle) is a model of the constraints of project management...

between points on the boundary of a geodesic triangle are less than or equal to the comparison triangle in the hyperbolic upper half plane or equivalently...

footwear industry Comparison of 3D computer graphics software Comparison of CAD, CAM, and CAE file viewers Comparison of EDA software Comparison of free software...

"Bizarre Love Triangle" is a song by English rock band New Order, released as a single in November 1986 from their fourth studio album, Brotherhood (1986)...

Ayakashi Triangle (Japanese: あやかしトライアングル, Hepburn: Ayakashi Toraianguru) sometimes abbreviated as AyaTri, (あやトラ, Ayatora) is a Japanese fantasy romantic...

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

Palliser's Triangle (French: Triangle de Palliser), or the Palliser Triangle, is a semi-arid steppe occupying a substantial portion of the Western Canadian...

(named after Victor Andreevich Toponogov) is a triangle comparison theorem. It is one of a family of comparison theorems that quantify the assertion that a...

The Lublin Triangle (Lithuanian: Liublino trikampis; Polish: Trójkąt Lubelski; Ukrainian: Люблінський трикутник, romanized: Liublinskyi trykutnyk) is a...

fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the...

Architecture features MOperations/s MPixels/s MTexels/s MTri/s GRays/s (triangles) GRays/s (voxels or boxes) TOPS (INT8) TOPS (INT4) Size (MiB) Clock (MHz)...

The triangle offense is an offensive strategy used in basketball. Its basic ideas were initially established by Hall of Fame coach Sam Barry at the University...

the two triangles. Sufficient evidence for congruence between two triangles in Euclidean space can be shown through the following comparisons: SAS (side-angle-side):...

traffic sign designs vary, they usually take the shape of an equilateral triangle with a white background and thick red border. In the People's Republic...

used to achieve continuous lighting on triangle meshes by computing the lighting at the corners of each triangle and linearly interpolating the resulting...

the genuine one is much denser and heavier. According to Incredible Comparisons (©1996) by Russell Ash, gold has a density of roughly 11 ounces per cubic...

relationship Intimacy Limerence Love addiction Love at first sight Love triangle Lovesickness Lovestruck Obsessive love Parental love Passion Passionate...

triangle is the unique ellipse inscribed in the triangle and tangent to the sides at their midpoints. It is an example of an inellipse. By comparison...

extends to the category of geodesic metric spaces, where one can use comparison triangles to quantify the curvature of a space; in this context, non-positively...

satisfied as in general triangles with two taxicab-congruent sides and a taxicab-congruent angle between them are not congruent triangles. In any metric space...

exhibit the triangle inequality property — or, more formally, the Schwarz inequality — and it violates the coincidence axiom. To repair the triangle inequality...