Problem 7. Which of Hilbert's axioms must be modified to obtain hyperbolic geometry? State the modified axiom (i.e. the one that gives the hyperbolic plane). Problem 8. Given a line l in the hyperbolic plane and a point P not on l, how many lines containing P are there which do not intersect l? Problem 0 Which ouren in the plane are the humorbolic linge in the Poincarh dies model