Si L = L', alors α = β

P = (-5.398994740796391, 2.544707137490613)
S = (10.573005259203606, -4.11029286250938)
M = (4.934405259203606, 4.408107137490611)
R = 1
a = Segment(P, M)
b = Segment(M, S)
c = Circle(P, R)
d = Circle(M, R)
M' = Point(d)
e = Segment(P, M')
f = Segment(M', S)
A = Intersect(c, a)
u = Vector(P, A)
B = Intersect(d, b, 1)
v = Vector(M, B)
w = Vector(M, M')
L: Distance[P, M] + Distance[M, S]
L': Distance[P, M'] + Distance[M', S]
g = OrthogonalLine(M, w)
C = Point(g)
α = Angle(P, M, C)
β = Angle(C, M, S)
texte1: "L = PMS = " + L + "

L' = PM'S = " + L' + ""
texte2: "α = " + α + "

 β = " + β + ""
D = Point(g)
N = Vector(M, D)