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  3. let x = (1,1) and y = (3,1). 1. find an explicit h

Let x = (1,1) and y = (3,1). 1. Find an explicit hyperbolic isometry f that...

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Advance Math

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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