Exercise 0.2.3. Show that the the Poincare half-plane and the half-disk are iso- metric (Hint: identify the Poincare half-plane with the region y > 1 in R² and do an inversion).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Exercise 0.2.3. Show that the the Poincare half-plane and the half-disk are iso-
metric (Hint: identify the Poincare half-plane with the region y > 1 in R² and do
an inversion).
Transcribed Image Text:Exercise 0.2.3. Show that the the Poincare half-plane and the half-disk are iso- metric (Hint: identify the Poincare half-plane with the region y > 1 in R² and do an inversion).
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