Deux plans orthogonaux à une droite

\mathcal{P_1}

\mathcal{P_2}

\mathcal{D}

D = (-5.509746128271007, -1.2706077191134781, 0.6087757034517232)
E = (-1.590764705398211, -1.5687305580165898, 0.426142992416207)
F = (2.804119605636558, 0.9675515414966407, 1)
G = (-0.9039012611617778, 0.4348799629128788, 2.7597831889811477)
a = Plane(E, D, F)
b = Plane(G, a)
D2: (x(D), y(D), z(D) + z(G))
f = OrthogonalLine(G, b)
A = Point(f)
α = Angle(f, b)
β = Angle(f, a)