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Please answer part A and B 3. In the upper half-plane H, consider two Euclidean rays l, and l2 emanating from a boundary point o.
Please answer part A and B
3. In the upper half-plane H, consider two Euclidean rays l, and l2 emanating from a boundary point o. (a) Show that all circular segments l, with center o connecting l, and 12 have the same hyperbolic length. (Hint: Use hyperbolic reflections in semi-circles with center at w.) (b) What is the connection between the angle of parallelism for the common hyperbolic length of lo in (a) and the angle between l1 and 12 at w? 3. In the upper half-plane H, consider two Euclidean rays l, and l2 emanating from a boundary point o. (a) Show that all circular segments l, with center o connecting l, and 12 have the same hyperbolic length. (Hint: Use hyperbolic reflections in semi-circles with center at w.) (b) What is the connection between the angle of parallelism for the common hyperbolic length of lo in (a) and the angle between l1 and 12 at wStep by Step Solution
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