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Hyperbolic geometry

  • #1
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0

Homework Statement


How to show that there exists a triangle whose defect is greater than 14 degrees


Homework Equations





The Attempt at a Solution



No idea what to do here.... something about the angle of parallelism
 

Answers and Replies

  • #2
33,477
5,167
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.
 
  • #3
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
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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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