O: (0, 0)
F_1: (-5, 0)
F_2: (5, 0)
Z: (5, 7)
c = Hyperbola(F_1, F_2, Z)
α = -0.8063421144213802 rad (slider from -90° to 90°, step 0.01°)
A = Rotate(F_2, α, O)
β = Angle(F_2, O, A)
f = Line(O, A)
M, N = Intersect(c, f)
d = Circle(M, O)
e = Circle(N, O)