Donna Bella

Miroir,\;mon\;beau\;miroir,\;dis-moi\;qui\;est\;la\;plus\;belle\;?

Champ de vision

Segment\;[OO_1]

L'oeil de Donna Bella est
       à 151 cm du sol.

Le bas du miroir est, lui,
       à 70 cm du sol.

Longueur SO_1

\approx\;9,4\;cm

Longueur OO_1

\approx\;5,3\;cm

sol

Longueur AO_1

\approx\;1,8\;cm

C = (6, 5.5)
S = (6, -3.5)
a = Line(C, S)
A = Point(a)
B = Point(a)
b = Segment(A, B)
c = OrthogonalLine(S, a)
A_1 = Point(c)
P = Point(Circle[A_1, 4.1])
T = Point(Circle[A_1, 9.23])
d = OrthogonalLine(T, a)
O = Point(Circle[A_1, 7.15])
e = Ray(O, A)
f = Ray(O, B)
α = Angle(B, O, A)
β = Angle(P, B, S)
γ = Angle(A, B, O)
δ = Angle(C, A, T)
ε = Angle(O, A, B)
T_1 = Intersect(d, e)
g = OrthogonalLine(P, a)
P_1 = Intersect(g, f)
h = Segment(O, A)
i = Segment(O, B)
j = Segment(A, T)
k = Segment(B, P)
l = Ray(A, T_1)
m = Ray(B, P_1)
D = (6.379999999999999, 5.199999999999998)
a_1 = Line(D, a)
E = Point(a)
F = Point(a_1)
G = Intersect(c, a_1)
poly1, e_1, f_1, g_1, s_1 = Polygon(E, F, G, S)
n = false
image2' = Mirror(image2, s_1)
b_1 = OrthogonalLine(O, s_1)
O_1 = Intersect(b, b_1)
c_1 = Segment(O, O_1)
H = Point(c_1)
I = (5.739999999999998, 2.459999999999999)
J = Point(b)
poly2, h_1, i_1, j_1, o_1 = Polygon(H, I, J, O_1)
w = false
q = false
r = false
o = false
K = (6.6599999999999975, 2.7399999999999993)
L = Point(c)
p = Segment(K, L)
M = (6.579999999999998, 2.519999999999999)
s = Segment(K, M)
N = (6.619999999999997, -3.279999999999999)
t = Segment(N, L)
K' = Mirror(K, p)
M' = Mirror(M, p)
s' = Segment(K', M')
N' = Mirror(N, p)
L' = Mirror(L, p)
t' = Segment(N', L')
Q = (2.519999999999999, 2.3199999999999994)
R = Point(b)
d_1 = Segment(Q, R)
U = (2.779999999999999, 2.439999999999999)
k_1 = Segment(Q, U)
V = (5.799999999999998, 2.1999999999999993)
l_1 = Segment(R, V)
Q' = Mirror(Q, d_1)
U' = Mirror(U, d_1)
m_1 = Segment(Q', U')
R' = Mirror(R, d_1)
V' = Mirror(V, d_1)
n_1 = Segment(R', V')
W = Point(p)
Z = (6.6599999999999975, 3.9199999999999986)
p_1 = Segment(W, Z)
B_1 = (6.759999999999998, 3.719999999999999)
q_1 = Segment(Z, B_1)
C_1 = (6.559999999999998, 2.919999999999999)
r_1 = Segment(W, C_1)
Z' = Mirror(Z, p_1)
D_1 = Mirror(B_1, p_1)
t_1 = Segment(Z', D_1)
W' = Mirror(W, p_1)
E_1 = Mirror(C_1, p_1)
a_2 = Segment(W', E_1)