Question: 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

20 marks Question 3 (a) Show that for any two points

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

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