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Hyperbolic geometry

  1. Apr 2, 2010 #1
    1. The problem statement, all variables and given/known data
    How to show that there exists a triangle whose defect is greater than 14 degrees


    2. Relevant equations



    3. The attempt at a solution

    No idea what to do here.... something about the angle of parallelism
     
  2. jcsd
  3. Apr 2, 2010 #2

    Mark44

    Staff: Mentor

    You need to give us more information here. What do you mean by "defect?"

    My best guess is that you're asking for an example of a triangle in hyperbolic geometry whose angles add up to less than 166 degrees.
     
  4. Apr 2, 2010 #3

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    I think the easiest way to show such a triangle exists is to explicitly write it down and compute its angle measures.
     
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