Pohlke projections in the hyperbolic case 2. circular and degenerate cases

We complete here the work started in [3]. Given three segments OP1, OP2, OP3 in a plane, assuming |OP1| = |OP2| = 1 and OP1 ⊥ OP2 (circular case), we determine the hyperbolic Pohlke’s projection(s). We also prove that if OP1, OP2, OP3 are not contained in a line, but two of them are parallel (degenerate case), then there are infinite hyperbolic Pohlke’s projections if these two segments are equal, none if they are different. Finally we give two examples of hyperbolic Pohlke’s projections and conics.