Poincare Half Plane and H-line

Given points A(2,5) and B(6,3) in the Poincare half plane where the axis is the line that determines the half plane
- A. Find the equation of the h-line that passes through A and B
- B. Find AB* using the definition of distance shown in the attachment:
AB* = absolute value (ln(AM x BN)/(BM x AN)))
- C. Find 2 points C and D (distinct from B) such that AC*=AD*=AB*

Attachments

Solution Summary

Points in the Poincare half plane are used to find the properties of the h-line. The solution is detailed and well presented.