Lobachevsky's Formula

Given a point and a Line , draw the Perpendicular through and call it . Let be any otherline from which meets in . In a Hyperbolic Geometry, as moves off to infinity along , then theline approaches the limiting line , which is said to be parallel to at . The angle which makes with is then called the Angle of Parallelism for perpendicular distance , and is given by

References

Manning, H. P. Introductory Non-Euclidean Geometry. New York: Dover, p. 58, 1963.

• Lagrange Polynomial
• Lagrange Remainder
• Lagrange Resolvent
• Lagrange's Continued Fraction Theorem
• Lagrange's Equation
• Lagrange's Four-Square Theorem
• Lagrange's Group Theorem
• Lagrange's Identity
• Lagrange's Interpolating Fundamental Polynomial
• Lagrange's Lemma
• Lagrange Spectrum
• Lagrangian Coefficient
• Lagrangian Derivative
• Laguerre Differential Equation
• Laguerre-Gauss Quadrature
• Laguerre Polynomial
• Laguerre Quadrature
• Laguerre's Method
• Laguerre's Repeated Fraction
• Laisant's Recurrence Formula
• Lakshmi Star
• Lal's Constant
• Laman's Theorem
• Lambda Calculus
• Lambda Function