The statement of that problem defines "geodesic" but the question asks "the number of ordered triples ... and there is a hyperbolic line passing through all of them."
Should the question be modified to refer to a geodesic?
Problem 972
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SaxTenor
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pjt33
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Re: Problem 972
Possibly. Alternatively the definition could clarify that "hyperbolic line" is a synonym for "geodesic" in this context. Either way, the lines defined as geodesics are exactly the hyperbolic lines of the question.