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:
“He who wishes to teach us a truth should not tell it to us, but simply suggest it with a brief gesture, a gesture which starts an ideal trajectory in the air along which we glide until we find ourselves at the feet of the new truth.”
—José Ortega Y Gasset (1883–1955)