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5. (a) Use the cosh distance formula to prove that the hyperbolic circle of hyperbolic radius p = In 3 and center C = (1,0) in the Poincaré disk has Euclidean equation 2 2 x +42 = 4 25 (b) Prove that every hyperbolic circle in the Poincaré disk is in fact a Euclidean circle.

5. (a) Use the cosh distance formula to prove that the hyperbolic circle of hyperbolic radius p = In 3 and center C = (1,0) in the Poincaré disk has Euclidean equation 2 2 x +42 = 4 25 (b) Prove that every hyperbolic circle in the Poincaré disk is in fact a Euclidean circle.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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Question
5. (a) Use the cosh distance formula to prove that the hyperbolic circle of hyperbolic radius p = In 3 and center C = (1,0) in the Poincaré disk has Euclidean equation 2 2 x +42 = 4 25 (b) Prove that every hyperbolic circle in the Poincaré disk is in fact a Euclidean circle.
Transcribed Image Text:5. (a) Use the cosh distance formula to prove that the hyperbolic circle of hyperbolic radius p = In 3 and center C = (1,0) in the Poincaré disk has Euclidean equation 2 2 x +42 = 4 25 (b) Prove that every hyperbolic circle in the Poincaré disk is in fact a Euclidean circle.
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