20 marks Question 3 (a) Show that for any two points z, uw of the Lobachevsky plane there is a unique Lobachevsky straight line passing through them. (b) Give an example of two different Lobachevsky straight lines passing through a com- mon point and being parallel to a third Lobachevsky straight line. beeT brisene 1 1 20 marks Question 3 (a) Show that for any two points z, uw of the Lobachevsky plane there is a unique Lobachevsky straight line passing through them. (b) Give an example of two different Lobachevsky straight lines passing through a com- mon point and being parallel to a third Lobachevsky straight line. beeT brisene 1 1