Lobachevsky’s formula

Let AB be a line. Let M,T be two points so that M not lies on AB, T lies on AB, and MT perpendicularMathworldPlanetmathPlanetmathPlanetmath to AB. Let MD be any other line who meets AT in D.In a hyperbolic geometry, as D moves off to infinity along AT the line MD meets the line MS which is said to be parallelMathworldPlanetmathPlanetmath to AT. The angle SMT^ is called the angle of parallelism for perpendicular distance d, and is given by


which is called Lobachevsky’s formula.

Title Lobachevsky’s formula
Canonical name LobachevskysFormula
Date of creation 2013-03-22 14:05:53
Last modified on 2013-03-22 14:05:53
Owner vmoraru (1243)
Last modified by vmoraru (1243)
Numerical id 6
Author vmoraru (1243)
Entry type Definition
Classification msc 51M10
Defines angle of parallelism