*Non-Euclidean (Hyperbolic) Geometry



You should be forewarned that a prerequisite for this chapter is a strong familiarity with the basic manipulations of complex numbers – multiplication, the polar representation, and the notion of complex conjugate. The non-Euclidean geometry of Bolyai and Lobachevsky eventually became known as hyperbolic geometry because the ordinary trigonometric functions sine and cosine that appear in formulas for the surface of a sphere are replaced by the hyperbolic functions sinhϕ and coshϕ for surfaces of constant negative Gaussian curvature.


Unit Disk Equilateral Triangle Euclidean Geometry Hyperbolic Geometry Cross Ratio 

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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.East OrangeUSA

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