3. Construct a triangle in the Poincare plane with all sides equal to ln(2).   (Hint: Use the fact that, the circle with center (0,a) and radius ln(r), r>1 in    the Poincaré plane is equal to the point set       { (x,y) : x^2+(y-1/2(r+1/r)a)^2=1/4(r-1/r)^2a^2 }

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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3. Construct a triangle in the Poincare plane with all sides equal to ln(2).
   (Hint: Use the fact that, the circle with center (0,a) and radius ln(r), r>1 in 
   the Poincaré plane is equal to the point set 
   
   { (x,y) : x^2+(y-1/2(r+1/r)a)^2=1/4(r-1/r)^2a^2 }

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