Do one of the following three questions.
1. What was Felix Klein's Erlanger program, which he proposed in 1872? What was the outcome? [10]
2. Felix Klein developed a model in Euclidean geometry of two-dimensional hyperbolic geometry that is somewhat similar to Poincaré's. Describe this model, including how one can compute hyperbolic distances and angles in it. [10]
3. Give an account of the life and work of Henri Poincaré. In your opinion, how significant was his work? [10]
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Trent University