Angle of Parallelism

Given a point and a Line , draw the Perpendicular through and call it . Let be any other line from which meets in . In a Hyperbolic Geometry, as moves off to infinityalong , then the line 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, pp. 31-32 and 58, 1963.

• Heegner Number
• Heesch Number
• Heesch's Problem
• Height
• Heilbronn Triangle Problem
• Heine-Borel Theorem
• Heine Hypergeometric Series
• Heisenberg Group
• Heisenberg Space
• Held Group
• Helen of Geometers
• Helicoid
• Helix
• Helly Number
• Helly's Theorem
• Helmholtz Differential Equation
• Helmholtz Differential Equation--Bipolar Coordinates
• Helmholtz Differential Equation--Cartesian Coordinates
• Helmholtz Differential Equation--Circular Cylindrical Coordinates
• Helmholtz Differential Equation--Confocal Ellipsoidal Coordinates
• Helmholtz Differential Equation--Confocal Paraboloidal Coordinates
• Helmholtz Differential Equation--Conical Coordinates
• Helmholtz Differential Equation--Elliptic Cylindrical Coordinates
• Helmholtz Differential Equation--Oblate Spheroidal Coordinates
• Helmholtz Differential Equation--Parabolic Coordinates