In mathematics, hyperbolic coordinates are a method of locating points in quadrant I of the Cartesian plane In mathematics, hyperbolic coordinates are a method of locating points in quadrant I of the Cartesian plane Hyperbolic coordinates take values in the hyperbolic plane defined as: These coordinates in HP are useful for studying logarithmic comparisons of direct proportion in Q and measuring deviations from direct proportion. For ( x , y ) {displaystyle (x,y)} in Q {displaystyle Q} take