Ideal Triangle

In hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all lie on the circle at infinity. In the hyperbolic metric, any two ideal triangles are congruent. Ideal triangles are also sometimes called triply asymptotic triangles or trebly asymptotic triangles.

Read more about Ideal Triangle:  Models, Properties, Real Ideal Triangle Group

Famous quotes containing the word ideal:

    “The ideal reasoner,” he remarked, “would, when he had once been shown a single fact in all its bearings, deduce from it not only all the chain of events which led up to it but also all the results which would follow from it.”
    Sir Arthur Conan Doyle (1859–1930)