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This course on Universal Hyperbolic Geometry aims to teach the Cross Law, the fourth main law of trigonometry in the hyperbolic setting. The course demonstrates how to prove the Cross Law using a remarkable polynomial identity and applies it to the relation between the quadrance and spread of an equilateral triangle. The teaching method includes reviewing Euclidean and hyperbolic Cross Laws, providing proofs, and practical exercises. The course is intended for learners interested in advanced trigonometry and geometry concepts in a hyperbolic context.
