%%%%%%%%%%%%%%%%%%%%% Endpoints of Hyperbolic Lines %%%%%%%%%%%%%%%%%%%%%
%
% ENDPOINTS
% Usage: ENDPOINTS(z)
% Inputs:  z is the euclidean centers of a line L
%
% Output: the end points of the two lines

function E = endpoints(z)
I = sqrt(-1);
w=z/abs(z);
th = acos(1/abs(z));
E=[w*exp(-I*th),w*exp(I*th)];