Date: Jul 25, 2013 8:16 PM Author: mohamed Subject: hyperbolicgeometry the numbers of polygon in hyperbolic plan is uncountable

proof

the area of hyperpolic polygon is 1/wdv from gauss bonnet and to obtain abigger hyperbolic polygon m/wdv as hyperbolic plan is complete metric the function 1/w is maximal from hahn banach theorem and the mobius transformation is confomal and lines is uniqe so m takes the values of R