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UnivHypGeom32: Trigonometric dual laws and the Parallax formula

This video introduces a simple universal analog (called the Right parallax formula) to the Angle of parallelism formula found by N. Lobachevsky and J. Bolyai in classical hyperbolic geometry. First we establish the dual laws of the main trigonometric laws for Universal Hyperbolic Geometry. The Right parallax theorem is proven using the Cross dual law, and we also show how it is related to the classical result of Lobachevsky and Bolyai.Two further interesting variants are given as Exercises: the Isosceles parallax and General parallax formulas.
Length: 35:47

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