Poincar´e Disk_2

Given points [b] [color=#0a971e]A,B ∈ c[/color][/b], construct the hyperbolic geodesic [math]retta_{AB}[/math]: equivalently construct the unique circle through[color=#0a971e] [b]A,B[/b][/color] that is orthogonal to[b] c[/b]