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Math Help - SMSG Postulate 1 Valid in Poincare half-plane

  1. #1
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    SMSG Postulate 1 Valid in Poincare half-plane

    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)
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  2. #2
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    Re: SMSG Postulate 1 Valid in Poincare half-plane

    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.
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