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:
“It is well worth the efforts of a lifetime to have attained knowledge which justifies an attack on the root of all evil—viz. the deadly atheism which asserts that because forms of evil have always existed in society, therefore they must always exist; and that the attainment of a high ideal is a hopeless chimera.”
—Elizabeth Blackwell (1821–1910)