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CQFD - 1ère Spé Math

Distance = 0 (slider from (-4 * π) to (4 * π), step (1 / 100 * π))
A: (Distance, 0)
O = Intersect(yAxis, xAxis)
c = Circle(A, 1)
A_1: (Distance + 1, 0)
E_2 = Rotate(A_1, Distance, A)
β = Angle(A_1, A, E_2)
E: (Distance, sin(Distance))
v: (2.5, 0)
c' = Translate(c, v)
u: (-v)
c'_1 = Translate(c, u)
A'' = Translate(E_2, v)
A''_1 = Translate(E_2, u)
a = Segment(A'', A''_1)
P' = Translate(A, u)
P'_1 = Translate(A, v)
A''_2 = Mirror(E_2, A)
A''' = Mirror(A'', P'_1)
C = Mirror(A''_1, P')
A''_3 = Rotate(E_2, 45°, A)
γ = Angle(E_2, A, A''_3)
D = Rotate(A''_3, 45°, A)
δ = Angle(A''_3, A, D)
D' = Rotate(D, 45°, A)
ε = Angle(D, A, D')
E_1 = Mirror(A''_3, A)
D'_1 = Mirror(D, A)
D'' = Mirror(D', A)
F = Translate(A''_3, u)
G = Translate(A''_3, v)
D'_2 = Translate(D, u)
D'_3 = Translate(D, v)
D''_1 = Translate(D', u)
D''_2 = Translate(D', v)
E' = Translate(E_1, u)
E'_1 = Translate(E_1, v)
H = Translate(D'_1, u)
I = Translate(D'_1, v)
D''' = Translate(D'', u)
D'''_1 = Translate(D'', v)
e = Segment(A''_1, C)
f = Segment(F, E')
g = Segment(D'_2, H)
h = Segment(D''_1, D''')
i = Segment(A''_3, E_1)
j = Segment(E_2, A''_2)
k = Segment(D, D'_1)
l = Segment(D', D'')
m = Segment(G, E'_1)
n = Segment(A'', A''')
p = Segment(D'''_1, D''_2)
q = Segment(I, D'_3)
Appareil__Mesure = 0 (slider from 0 to 1, step 1)
r = Segment(A, E)
b: y = 2.5
d: 1 ≤ y ≤ 1.1
A' = Mirror(A, b)
c'_2 = Mirror(c, b)
c'' = Mirror(c', b)
t = Mirror(c'_1, b)
F' = Mirror(F, b)
E'' = Mirror(E', b)
f' = Segment(F', E'')
J = Mirror(D'_2, b)
H' = Mirror(H, b)
g' = Segment(J, H')
K = Mirror(D''_1, b)
L = Mirror(D''', b)
h' = Segment(K, L)
M = Mirror(A''_1, b)
C' = Mirror(C, b)
e' = Segment(M, C')
N = Mirror(E_2, b)
P = Mirror(A''_2, b)
j' = Segment(N, P)
Q = Mirror(A''_3, b)
R = Mirror(E_1, b)
i' = Segment(Q, R)
D'_4 = Mirror(D, b)
S = Mirror(D'_1, b)
k' = Segment(D'_4, S)
D''_3 = Mirror(D', b)
D'''_2 = Mirror(D'', b)
l' = Segment(D''_3, D'''_2)
T = Mirror(D'''_1, b)
U = Mirror(D''_2, b)
p' = Segment(T, U)
A'''_1 = Mirror(A'', b)
V = Mirror(A''', b)
n' = Segment(A'''_1, V)
G' = Mirror(G, b)
W = Mirror(E'_1, b)
m' = Segment(G', W)
I' = Mirror(I, b)
Z = Mirror(D'_3, b)
q' = Segment(I', Z)
A'''_2 = Mirror(A'', b)
B_1 = Mirror(A''_1, b)
a' = Segment(A'''_2, B_1)
P'' = Mirror(P', b)
C_1 = Mirror(P'_1, b)
o: 3.9 ≤ y ≤ 4
w: 1.1 ≤ y ≤ 3.9
a_1(y) = y ≤ 2.5
b_1(y) = y ≥ 4
D_1: (-5.32012 + Distance, 4.17537)
F_1: (5.82837 + Distance, 4.15897)
image1' = Mirror(image1, b)