In hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all are ideal points. Ideal triangles are also sometimes called triply asymptotic triangles or trebly asymptotic triangles. The vertices are sometimes called ideal vertices. All ideal triangles are congruent.
In hyperbolic geometry an idealtriangle is a hyperbolic triangle whose three vertices all are ideal points. Idealtriangles are also sometimes called...
A triangle with one ideal vertex is called an omega triangle. Special Triangles with ideal vertices are: A triangle where one vertex is an ideal point...
ideal points; two horocycles are concentric when they have the same centre. if all vertices of a triangle are ideal points the triangle is an ideal triangle...
"negligible" Ideal (Lie algebra), a particular subset in a Lie algebra Ideal point, a boundary point in hyperbolic geometry Idealtriangle, a triangle in hyperbolic...
on one side of an idealtriangle to the closer of the other two sides: this distance, the side length of the equilateral triangle formed by the points...
subgroup of the reflection group of the triangle is a Hecke group. For an idealtriangle in which all angles are zero, so that all vertices lie on the real axis...
(but positive). For an idealtriangle, a generalization of hyperbolic triangles, this sum is equal to zero. For a spherical triangle, the sum of the angles...
α, but that is not an option for an idealtriangle having all angles zero. Instead, a mapping to an idealtriangle with vertices at 0, 1, and ∞ is given...
triangles, according to Acker and Davis and many others, are 'real' triangles, 'ideal' triangles, and 'perceived' triangles. These 'real' triangles are...
paracompact hyperbolic triangle and creates uniform tilings with either infinite faces (called apeirogons) that converge to a single ideal point, or infinite...
a hyperbolic idealtriangle in which all three angles are 0° is equal to this maximum. As in Euclidean geometry, each hyperbolic triangle has an incircle...
The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior...
coterminal. If, in a hyperbolic triangle, the pairs of sides are limiting parallel, then the triangle is an idealtriangle. A ray A a {\displaystyle Aa}...
Circular horn triangle, a three-cusped curve formed from circular arcs Idealtriangle, a three-cusped curve formed from hyperbolic lines Pseudotriangle, a...
geodesic triangle is the circle of largest diameter contained in the triangle and every geodesic triangle lies in the interior of an idealtriangle, all of...
Poincaré half-plane model of the hyperbolic plane, an arbelos models an idealtriangle. The name arbelos comes from Greek ἡ ἄρβηλος he árbēlos or ἄρβυλος árbylos...
polyhedron (one with all faces triangles) has all vertex degrees between four and six (inclusive) then it has an ideal representation, but the triakis...
Schläfli symbol {6} and can also be constructed as a truncated equilateral triangle, t{3}, which alternates two types of edges. A regular hexagon is defined...
Coat of Arms on a Yellow T with Gray field. Triangle Fraternity was founded on high ethical and moral ideals, and expects the men of the fraternity to follow...
construct the thrice-punctured sphere, shown below, by gluing two idealtriangles together. This also shows how to draw curves on the surface – the black...
(a)} is the angle at the non-right angle vertex of a right hyperbolic triangle having two asymptotic parallel sides. The angle depends on the segment...
Form of a triangle. For the form of a triangle say there is a triangle drawn on a blackboard. A triangle is a polygon with 3 sides. The triangle as it is...
Federal Triangle is a triangular area in Washington, D.C. formed by 15th Street NW, Constitution Avenue NW, Pennsylvania Avenue NW, and E Street NW. Federal...