SMSG Postulate 1 states that there is a unique line that contains any two points. Is this postulate valid in the Poincare half-plane model of hyperbolic geometry? Explain why or why not? (you may use Euclidean results)
SMSG Postulate 1 states that there is a unique line that contains any two points. Is this postulate valid in the Poincare half-plane model of hyperbolic geometry? Explain why or why not? (you may use Euclidean results)
What have you done on this? How is a point represented in the Poincare' half plan model? How is a line represented?
There are two different cases to be considered because a line may be represented in two distinctly different ways in the Poincare' half plane model.