In mathematics, hyperbolic coordinates are a method of locating points in Quadrant I of the Cartesian plane
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Hyperbolic coordinates take values in the hyperbolic plane defined as:
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These coordinates in HP are useful for studying logarithmic comparisons of direct proportion in Q and measuring deviations from direct proportion.
For in take
and
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Sometimes the parameter is called hyperbolic angle and v the geometric mean.
The inverse mapping is
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This is a continuous mapping, but not an analytic function.
Read more about Hyperbolic Coordinates: Quadrant Model of Hyperbolic Geometry, Applications in Physical Science, Statistical Applications, Economic Applications, History
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