e in the
Euclidean plane. In this exercise, we will show this is not true in the Poincar´e plane. As usual, let Γ be the unit
circle in R2
, and let O be the origin. Let A = (3/4, 0) and B = (0, 3/4). Consider the P-triangle △OAB. Let
γ be the E-circle through O, A, and B. Show that γ contains points outside of Γ and is therefore not a P-circle.
Explain why this means that the P-triangle △OAB cannot have a circumscribed circle in the Poincar´e plane.