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Math Help - Parallel Transports

  1. #1
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    Parallel Transports

    I cannot figure out the proof to this problem:
    If l1 and l2 are lines on a plane such that they are parallel transports along a transversal l, then they are parallel transports along any transversal.

    How would you prove this? I know the proof has to be based on a contrapositive or contradiction but I am just not sure how to do this. I started with a contradiction by assyming l1 and l2 are lines on the plane such that they are parallel transports along a transversal l, and they are not parallel transports along any other transversal.

    I don't believe my contradiction is correct though. Any help would be greatly appreciated
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  2. #2
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    We need to prove this by using assumptions, but it needs to be a simple as possible.

    What part of this proof does not work on a hyperbolic plane?

    Some suggestions to figuring this problem out are:

    In order to prove this theory we need to assume something.

    Any ideas??
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