Let PQ be an h-line in a Poincare disc with center 0. a) The h-points A, B in PQ are located such that |PA| : |AB|: |BQ| = 1:1:2. The h-circle with h-center B and h-radius |AB| intersects the radial...

Extracted text: Let PQ be an h-line in a Poincare disc with center 0. a) The h-points A, B in PQ are located such that |PA| : |AB|: |BQ| = 1:1:2. The h-circle with h-center B and h-radius |AB| intersects the radial line OBR at C, D with C closer to 0 than D, where R is the omega point along OB. If the e-distances |OC| = x ,\OB| = y,\OD|= z, Prove that x = 2у-1 2-y b) In part a), if B is in the middle of the radial line, show that the h-circle passes through the center 0 of the Poincare circle.