L

l

Aire_{rectangle} = l × L

 h

B

Aire_{parallélogramme} = h×B

Aire_{triangle}= \frac{h×B }{2} 

R

Aire_{disque}=  \frac{R × Périmètre}{2} 

Aire_{disque}=\frac{R×D×Π}{2}

Aire_{disque}=R×R×\Pi

A = (-0.88, 3.44)
B = (-0.88, 0.96)
a_1 = Segment(A, B)
b = OrthogonalLine(A, a_1)
c = OrthogonalLine(B, a_1)
C = Point(b)
d = OrthogonalLine(C, b)
D = Intersect(c, d)
e = Segment(C, D)
f = Segment(D, B)
g = Segment(A, C)
a = -1 (slider from -1 to 9, step 0.01)
h = Circle(A, If[a > 1, 1, a])
k = Circle(C, If[a > 1, 1, a])
E = Intersect(h, b, 2)
F = Intersect(k, b, 2)
poly1, e_1, b_1, d_1, f_1 = Polygon(E, B, D, F)
poly2, a_2, b_2, d_2, c_1 = Polygon(A, B, D, C)
poly3, b_3, e_2, d_3 = Polygon(E, D, B)
i = OrthogonalLine(E, f)
G = Intersect(i, f)
j = Segment(E, G)
H = Point(j)
α = Angle(D, G, E)
p = If(a ≤ 4.9, Circle[D, ((a - 3.5) * 5)], Circle[D, 7])
I = Intersect(p, f, 1)
l = LineBisector(I, B)
J = Intersect(l, g)
poly4, b_4, i_1, e_3 = Polygon(I, E, B)
poly5, b_5, j_1, i_2 = Polygon(J, I, B)
K = Intersect(l, f)
m = Segment(J, K)
J' = Mirror(J, b_5)
I' = Mirror(I, b_5)
B' = Mirror(B, b_5)
poly5', b', j', i' = Polygon(J', I', B')
J'' = Mirror(J', i')
I'' = Mirror(I', i')
B'' = Mirror(B', i')
poly5'', b'', j'', i'' = Polygon(J'', I'', B'')
J''' = Mirror(J'', b'')
I''' = Mirror(I'', b'')
B''' = Mirror(B'', b'')
poly5''', b''', j''', i''' = Polygon(J''', I''', B''')
L = Mirror(J''', i''')
M = Mirror(I''', i''')
N = Mirror(B''', i''')
poly6, n, l_1, m_1 = Polygon(L, M, N)
L' = Mirror(L, n)
M' = Mirror(M, n)
N' = Mirror(N, n)
poly6', n', l', m' = Polygon(L', M', N')
L'' = Mirror(L', m')
M'' = Mirror(M', m')
N'' = Mirror(N', m')
poly6'', n'', l'', m'' = Polygon(L'', M'', N'')
L''' = Mirror(L'', n'')
M''' = Mirror(M'', n'')
N''' = Mirror(N'', n'')
poly6''', n''', l''', m''' = Polygon(L''', M''', N''')
q = Circle(J, B)
O = Mirror(L''', m''')
P = Mirror(M''', m''')
Q = Mirror(N''', m''')
poly7, q_1, o, p_1 = Polygon(O, P, Q)
O' = Mirror(O, q_1)
P' = Mirror(P, q_1)
Q' = Mirror(Q, q_1)
poly7', q', o', p' = Polygon(O', P', Q')
O'' = Mirror(O', p')
P'' = Mirror(P', p')
Q'' = Mirror(Q', p')
poly7'', q'', o'', p'' = Polygon(O'', P'', Q'')
O''' = Mirror(O'', q'')
P''' = Mirror(P'', q'')
Q''' = Mirror(Q'', q'')
poly7''', q''', o''', p''' = Polygon(O''', P''', Q''')
R = Mirror(O''', p''')
S = Mirror(P''', p''')
T = Mirror(Q''', p''')
poly8, t, r, s = Polygon(R, S, T)
R' = Mirror(R, t)
S' = Mirror(S, t)
T' = Mirror(T, t)
poly8', t', r', s' = Polygon(R', S', T')
R'' = Mirror(R', s')
S'' = Mirror(S', s')
T'' = Mirror(T', s')
poly8'', t'', r'', s'' = Polygon(R'', S'', T'')
R''' = Mirror(R'', t'')
S''' = Mirror(S'', t'')
T''' = Mirror(T'', t'')
poly8''', t''', r''', s''' = Polygon(R''', S''', T''')
U = Mirror(R''', s''')
V = Mirror(S''', s''')
W = Mirror(T''', s''')
poly9, w, u, v = Polygon(U, V, W)
U' = Mirror(U, w)
V' = Mirror(V, w)
W' = Mirror(W, w)
poly9', w', u', v' = Polygon(U', V', W')
U'' = Mirror(U', v')
V'' = Mirror(V', v')
W'' = Mirror(W', v')
poly9'', w'', u'', v'' = Polygon(U'', V'', W'')
U''' = Mirror(U'', w'')
V''' = Mirror(V'', w'')
W''' = Mirror(W'', w'')
poly9''', w''', u''', v''' = Polygon(U''', V''', W''')
Z = Mirror(U''', v''')
A_1 = Mirror(V''', v''')
B_1 = Mirror(W''', v''')
poly10, b_6, z_1, a_3 = Polygon(Z, A_1, B_1)
Z' = Mirror(Z, b_6)
C_1 = Mirror(A_1, b_6)
D_1 = Mirror(B_1, b_6)
poly10', d_4, z', c_2 = Polygon(Z', C_1, D_1)
Z'' = Mirror(Z', c_2)
E_1 = Mirror(C_1, c_2)
F_1 = Mirror(D_1, c_2)
poly10'', f_2, z'', e_4 = Polygon(Z'', E_1, F_1)
Z''' = Mirror(Z'', f_2)
G_1 = Mirror(E_1, f_2)
H_1 = Mirror(F_1, f_2)
poly10''', h_1, z''', g_1 = Polygon(Z''', G_1, H_1)
I_1 = Mirror(Z''', g_1)
J_1 = Mirror(G_1, g_1)
K_1 = Mirror(H_1, g_1)
poly11, k_1, i_3, j_2 = Polygon(I_1, J_1, K_1)
L_1 = Mirror(I_1, k_1)
M_1 = Mirror(J_1, k_1)
N_1 = Mirror(K_1, k_1)
poly11', n_1, l_2, m_2 = Polygon(L_1, M_1, N_1)
O_1 = Mirror(L_1, m_2)
P_1 = Mirror(M_1, m_2)
Q_1 = Mirror(N_1, m_2)
poly11'', q_2, o_1, p_2 = Polygon(O_1, P_1, Q_1)
R_1 = Mirror(O_1, q_2)
S_1 = Mirror(P_1, q_2)
T_1 = Mirror(Q_1, q_2)
poly11''', t_1, r_1, s_1 = Polygon(R_1, S_1, T_1)
U_1 = Mirror(R_1, s_1)
V_1 = Mirror(S_1, s_1)
W_1 = Mirror(T_1, s_1)
poly12, w_1, u_1, v_1 = Polygon(U_1, V_1, W_1)
Z_1 = Mirror(U_1, w_1)
A_2 = Mirror(V_1, w_1)
B_2 = Mirror(W_1, w_1)
poly12', b_7, z_2, a_4 = Polygon(Z_1, A_2, B_2)
C_2 = Mirror(Z_1, a_4)
D_2 = Mirror(A_2, a_4)
E_2 = Mirror(B_2, a_4)
poly12'', e_5, c_3, d_5 = Polygon(C_2, D_2, E_2)
F_2 = Mirror(C_2, e_5)
G_2 = Mirror(D_2, e_5)
H_2 = Mirror(E_2, e_5)
poly12''', h_2, f_3, g_2 = Polygon(F_2, G_2, H_2)
I_2 = Mirror(F_2, g_2)
J_2 = Mirror(G_2, g_2)
K_2 = Mirror(H_2, g_2)
poly13, k_2, i_4, j_3 = Polygon(I_2, J_2, K_2)
L_2 = Mirror(I_2, k_2)
M_2 = Mirror(J_2, k_2)
N_2 = Mirror(K_2, k_2)
poly13', n_2, l_3, m_3 = Polygon(L_2, M_2, N_2)
O_2 = Mirror(L_2, m_3)
P_2 = Mirror(M_2, m_3)
Q_2 = Mirror(N_2, m_3)
poly13'', q_3, o_2, p_3 = Polygon(O_2, P_2, Q_2)
R_2 = Mirror(O_2, q_3)
S_2 = Mirror(P_2, q_3)
T_2 = Mirror(Q_2, q_3)
poly13''', t_2, r_2, s_2 = Polygon(R_2, S_2, T_2)
U_2 = Mirror(R_2, s_2)
V_2 = Mirror(S_2, s_2)
W_2 = Mirror(T_2, s_2)
poly14, w_2, u_2, v_2 = Polygon(U_2, V_2, W_2)
Z_2 = Mirror(U_2, w_2)
A_3 = Mirror(V_2, w_2)
B_3 = Mirror(W_2, w_2)
poly14', b_8, z_3, a_5 = Polygon(Z_2, A_3, B_3)
C_3 = Mirror(Z_2, a_5)
D_3 = Mirror(A_3, a_5)
E_3 = Mirror(B_3, a_5)
poly14'', e_6, c_4, d_6 = Polygon(C_3, D_3, E_3)
F_3 = Mirror(C_3, e_6)
G_3 = Mirror(D_3, e_6)
H_3 = Mirror(E_3, e_6)
poly14''', h_3, f_4, g_3 = Polygon(F_3, G_3, H_3)