Let x = (1,1) and y = (3,1).
1. Find an explicit hyperbolic isometry f that...
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Let x = (1,1) and y = (3,1).
1. Find an explicit hyperbolic isometry f that sends thesemicircle that x and y lie on to the positive part of theimaginary axis. Write f as a composition of horizontaltranslations, scalings, and inversions.
2. Compute f(x) and f(y).
3. Compute d_{H^2}(f(x),f(y)) and verify that f is anisometry.
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