Poincar´e Disk_3

Given points[color=#0a971e] [b]A[/b][/color] and[color=#0a971e] [b]B[/b][/color], construct the hyperbolic circle with hyperbolic center [color=#0a971e] [b] A[/b][/color], passing through[color=#0a971e] [b]B[/b].[/color]