1cm^2

1cm

1cm

kwadraty

kwadraty

kwadraty

kwadraty

Pola \;  figur

P_3=11 cm^2

P_1=35cm^2

P_2=16cm^2

P_4=12cm^2

Pole

Pole

Pole

Pole

7cm

5cm

A = (-8, -11)
a_{10} = OrthogonalLine(A, yAxis)
b_{14} = OrthogonalLine(A, a_{10})
B = Point(b_{14})
c = OrthogonalLine(B, b_{14})
C = Point(a_{10})
d = OrthogonalLine(C, a_{10})
D = Intersect(c, d)
E = Point(a_{10})
e = OrthogonalLine(E, a_{10})
F = (-8, -9)
f = OrthogonalLine(F, b_{14})
G = Point(a_{10})
g = OrthogonalLine(G, a_{10})
H = Point(a_{10})
h = OrthogonalLine(H, a_{10})
I = Point(a_{10})
i = OrthogonalLine(I, a_{10})
J = Point(a_{10})
j = OrthogonalLine(J, a_{10})
K = Point(a_{10})
k = OrthogonalLine(K, a_{10})
L = Point(b_{14})
l = OrthogonalLine(L, b_{14})
M = Point(b_{14})
m = OrthogonalLine(M, b_{14})
N = Point(b_{14})
n = OrthogonalLine(N, b_{14})
O = Intersect(c, e)
P = Intersect(c, g)
Q = Intersect(c, h)
R = Intersect(c, i)
S = Intersect(c, j)
T = Intersect(c, k)
U = Intersect(d, n)
V = Intersect(d, m)
W = Intersect(d, l)
Z = Intersect(d, f)
A_1 = Intersect(f, k)
B_1 = Intersect(k, l)
C_1 = Intersect(k, m)
D_1 = Intersect(k, n)
E_1 = Intersect(j, n)
F_1 = Intersect(j, m)
G_1 = Intersect(j, l)
H_1 = Intersect(f, j)
I_1 = Intersect(f, i)
J_1 = Intersect(i, l)
K_1 = Intersect(i, m)
L_1 = Intersect(i, n)
M_1 = Intersect(h, n)
N_1 = Intersect(h, m)
O_1 = Intersect(h, l)
P_1 = Intersect(f, h)
Q_1 = Intersect(f, g)
R_1 = Intersect(g, l)
S_1 = Intersect(g, m)
T_1 = Intersect(g, n)
U_1 = Intersect(e, n)
V_1 = Intersect(e, m)
W_1 = Intersect(e, l)
Z_1 = Intersect(e, f)
wielokąt1, a_1, e_1, z_1, f_1 = Polygon(A, E, Z_1, F)
wielokąt2, e_2, g_1, q_1, z_2 = Polygon(E, G, Q_1, Z_1)
wielokąt3, g_2, h_1, p_1, q_2 = Polygon(G, H, P_1, Q_1)
wielokąt4, h_2, i_1, i_2, p_2 = Polygon(H, I, I_1, P_1)
wielokąt5, i_3, j_1, h_3, i_4 = Polygon(I, J, H_1, I_1)
wielokąt6, j_2, k_1, a_2, h_4 = Polygon(J, K, A_1, H_1)
wielokąt7, k_2, c_1, z, a_3 = Polygon(K, C, Z, A_1)
o = 18 (slider from 0 to 35, step 1)
wielokąt8, f_2, z_3, w_1, l_1 = Polygon(F, Z_1, W_1, L)
wielokąt9, z_4, q_3, r_1, w_2 = Polygon(Z_1, Q_1, R_1, W_1)
wielokąt10, q_4, p_3, o_1, r_2 = Polygon(Q_1, P_1, O_1, R_1)
wielokąt11, p_4, i_5, j_3, o_2 = Polygon(P_1, I_1, J_1, O_1)
wielokąt12, i_6, h_5, g_3, j_4 = Polygon(I_1, H_1, G_1, J_1)
wielokąt13, h_6, a_4, b_1, g_4 = Polygon(H_1, A_1, B_1, G_1)
wielokąt14, a_5, z_5, w, b_2 = Polygon(A_1, Z, W, B_1)
wielokąt15, l_2, w_3, v_1, m_1 = Polygon(L, W_1, V_1, M)
wielokąt16, w_4, r_3, s_1, v_2 = Polygon(W_1, R_1, S_1, V_1)
wielokąt17, r_4, o_3, n_1, s_2 = Polygon(R_1, O_1, N_1, S_1)
wielokąt18, o_4, j_5, k_3, n_2 = Polygon(O_1, J_1, K_1, N_1)
wielokąt19, j_6, g_5, f_3, k_4 = Polygon(J_1, G_1, F_1, K_1)
wielokąt20, g_6, b_3, c_2, f_4 = Polygon(G_1, B_1, C_1, F_1)
wielokąt21, b_4, w_5, v, c_3 = Polygon(B_1, W, V, C_1)
wielokąt22, m_2, v_3, u_1, n_3 = Polygon(M, V_1, U_1, N)
wielokąt23, v_4, s_3, t_1, u_2 = Polygon(V_1, S_1, T_1, U_1)
wielokąt24, s_4, n_4, m_3, t_2 = Polygon(S_1, N_1, M_1, T_1)
wielokąt25, n_5, k_5, l_3, m_4 = Polygon(N_1, K_1, L_1, M_1)
wielokąt26, k_6, f_5, e_3, l_4 = Polygon(K_1, F_1, E_1, L_1)
wielokąt27, f_6, c_4, d_1, e_4 = Polygon(F_1, C_1, D_1, E_1)
wielokąt28, c_5, v_5, u, d_2 = Polygon(C_1, V, U, D_1)
wielokąt29, n_6, u_3, o_5, b_5 = Polygon(N, U_1, O, B)
wielokąt30, u_4, t_3, p_{21}, o_6 = Polygon(U_1, T_1, P, O)
wielokąt31, t_4, m_5, q_{20}, p_5 = Polygon(T_1, M_1, Q, P)
wielokąt32, m_6, l_5, r, q_5 = Polygon(M_1, L_1, R, Q)
wielokąt33, l_6, e_5, s, r_5 = Polygon(L_1, E_1, S, R)
wielokąt34, e_6, d_3, t, s_5 = Polygon(E_1, D_1, T, S)
wielokąt35, d_4, u_5, d_5, t_5 = Polygon(D_1, U, D, T)
a_6 = Segment(A, C)
b_6 = Segment(C, D)
c_6 = Segment(D, B)
d_6 = Segment(B, A)
wielokąt36, a_7, c_7, d_7, b_7 = Polygon(A, C, D, B)
p_6 = Segment(B, D)
q_6 = Segment(A, C)
A_2 = Point(p_6)
r_6 = Segment(C, A_2)
s_6 = Segment(A, B)
B_2 = Point(b_{14})
t_6 = OrthogonalLine(B_2, b_{14})
C_2 = Point(g)
E_2 = Point(j)
e_7 = OrthogonalLine(E_2, j)
F_2 = Point(j)
f_7 = OrthogonalLine(F_2, j)
G_2 = Intersect(t_6, d)
H_2 = Intersect(b_{14}, t_6)
I_2 = Intersect(e_7, d)
J_2 = Intersect(e_7, j)
K_2 = Intersect(f_7, j)
L_2 = Intersect(e_7, b_{14})
M_2 = Intersect(e_7, e)
N_2 = Intersect(g, e_7)
O_2 = Intersect(f_7, g)
P_2 = Intersect(b_{14}, f_7)
Q_2 = Intersect(e, f_7)
R_2 = Intersect(f_7, h)
S_2 = Intersect(f_7, i)
T_2 = Intersect(f_7, k)
U_2 = Intersect(f_7, d)
V_2 = Intersect(e_7, k)
W_2 = Intersect(k, t_6)
Z_2 = Intersect(j, t_6)
A_3 = Intersect(i, t_6)
B_3 = Intersect(h, t_6)
C_3 = Intersect(g, t_6)
D_3 = Intersect(e, t_6)
g_7 = OrthogonalLine(C_2, e)
D_2 = Point(h)
E_3 = Point(h)
h_7 = OrthogonalLine(D_2, h)
i_7 = OrthogonalLine(E_3, h)
F_3 = Intersect(g_7, b_{14})
G_3 = Intersect(b_{14}, h_7)
H_3 = Intersect(h_7, e)
I_3 = Intersect(h_7, g)
J_3 = Intersect(h_7, i)
K_3 = Intersect(h_7, j)
L_3 = Intersect(h_7, k)
M_3 = Intersect(h_7, d)
N_3 = Intersect(d, g_7)
O_3 = Intersect(k, g_7)
P_3 = Intersect(j, g_7)
Q_3 = Intersect(i, g_7)
R_3 = Intersect(h, g_7)
S_3 = Intersect(e, g_7)
T_3 = Intersect(b_{14}, i_7)
U_3 = Intersect(e, i_7)
V_3 = Intersect(g, i_7)
W_3 = Intersect(i, i_7)
Z_3 = Intersect(e_7, i)
A_4 = Intersect(h, e_7)
B_4 = Intersect(i_7, j)
C_4 = Intersect(i_7, k)
D_4 = Intersect(i_7, d)
wielokąt37, b_8, g_8, i_8, v_6, l_7, k_7, p_7, q_7, j_7, i_9, o_7, q_8, m_7, l_8 = Polygon(B_2, G_2, I_2, V_2, L_3, K_3, P_3, Q_3, J_3, I_3, O_2, Q_2, M_2, L_2)
wielokąt38, b_9, d_8, h_8, g_9 = Polygon(B_2, D_3, H_3, G_3)
wielokąt39, d_9, c_8, i_{10}, h_9 = Polygon(D_3, C_3, I_3, H_3)
wielokąt40, c_9, b_{10}, d_{10}, i_{11} = Polygon(C_3, B_3, D_2, I_3)
wielokąt41, b_{11}, a_8, j_8, d_{11} = Polygon(B_3, A_3, J_3, D_2)
wielokąt42, a_9, z_6, k_8, j_9 = Polygon(A_3, Z_2, K_3, J_3)
wielokąt43, z_7, w_6, l_9, k_9 = Polygon(Z_2, W_2, L_3, K_3)
wielokąt44, w_7, g_{10}, m_8, l_{10} = Polygon(W_2, G_2, M_3, L_3)
wielokąt45, g_{11}, h_{10}, s_7, f_8 = Polygon(G_3, H_3, S_3, F_3)
wielokąt46, h_{11}, i_{12}, c_{10}, s_8 = Polygon(H_3, I_3, C_2, S_3)
wielokąt47, j_{10}, k_{10}, p_8, q_9 = Polygon(J_3, K_3, P_3, Q_3)
wielokąt48, l_{11}, m_9, n_7, o_8 = Polygon(L_3, M_3, N_3, O_3)
wielokąt49, f_9, s_9, m_{10}, l_{12} = Polygon(F_3, S_3, M_2, L_2)
wielokąt50, s_{10}, c_{11}, n_8, m_{11} = Polygon(S_3, C_2, N_2, M_2)
wielokąt51, o_9, n_9, i_{13}, v_7 = Polygon(O_3, N_3, I_2, V_2)
wielokąt52, n_{10}, v_8, u_6, m_{12} = Polygon(N_2, V_3, U_3, M_2)
wielokąt53, u_7, v_9, o_{10}, q_{10} = Polygon(U_3, V_3, O_2, Q_2)
a = 0 (slider from 0 to 16, step 1)
E_4 = Point(t_6)
r_7 = OrthogonalLine(E_4, t_6)
F_4 = Point(t_6)
t_7 = OrthogonalLine(F_4, t_6)
G_4 = Point(t_6)
e_8 = OrthogonalLine(G_4, t_6)
H_4 = Point(t_6)
r_8 = OrthogonalLine(H_4, t_6)
I_4 = Point(t_6)
t_8 = OrthogonalLine(I_4, t_6)
J_4 = Intersect(h_7, r_7)
K_4 = Intersect(h_7, e_8)
L_4 = Intersect(h_7, r_8)
M_4 = Intersect(h_7, t_8)
N_4 = Intersect(h_7, t_7)
O_4 = Intersect(g_7, t_8)
P_4 = Intersect(g_7, r_8)
Q_4 = Intersect(g_7, e_8)
R_4 = Intersect(g_7, r_7)
S_4 = Intersect(e_7, r_7)
T_4 = Intersect(e_7, e_8)
U_4 = Intersect(e_7, r_8)
V_4 = Intersect(i_7, e_8)
W_4 = Intersect(i_7, r_7)
Z_4 = Intersect(f_7, r_7)
A_5 = Intersect(i_7, r_8)
B_5 = Intersect(f_7, e_8)
wielokąt54, e_9, f_{10}, n_{11}, o_{11}, p_9, u_8, v_{10}, b_{12}, z_8, r_9, q_{11}, k_{11}, j_{11} = Polygon(E_4, F_4, N_4, O_4, P_4, U_4, V_4, B_5, Z_4, R_4, Q_4, K_4, J_4)
wielokąt55, e_{10}, g_{12}, k_{12}, j_{12} = Polygon(E_4, G_4, K_4, J_4)
wielokąt56, g_{13}, h_{12}, l_{13}, k_{13} = Polygon(G_4, H_4, L_4, K_4)
wielokąt57, h_{13}, i_{14}, m_{13}, l_{14} = Polygon(H_4, I_4, M_4, L_4)
wielokąt58, i_{15}, f_{11}, n_{12}, m_{14} = Polygon(I_4, F_4, N_4, M_4)
wielokąt59, l_{15}, m_{15}, o_{12}, p_{10} = Polygon(L_4, M_4, O_4, P_4)
wielokąt60, k_{14}, l_{16}, p_{11}, q_{12} = Polygon(K_4, L_4, P_4, Q_4)
wielokąt61, r_{10}, q_{13}, t_9, s_{11} = Polygon(R_4, Q_4, T_4, S_4)
wielokąt62, q_{14}, p_{12}, u_9, t_{10} = Polygon(Q_4, P_4, U_4, T_4)
wielokąt63, s_{12}, t_{11}, v_{11}, w_8 = Polygon(S_4, T_4, V_4, W_4)
wielokąt65, w_9, v_{13}, b_{13}, z_9 = Polygon(W_4, V_4, B_5, Z_4)
C_5 = Intersect(g_7, t_7)
wielokąt66, m_{16}, n_{13}, c_{12}, o_{13} = Polygon(M_4, N_4, C_5, O_4)
wielokąt67, o_{14}, m_{17}, n_{14} = Polygon(M_4, N_4, O_4)
wielokąt68, v_{14}, t_{13}, u_{11} = Polygon(T_4, U_4, V_4)
b = 0 (slider from 0 to 12, step 1)
a_{11} = Segment(E_4, F_4)
D_5 = Point(a_{11})
e_{11} = Segment(D_5, N_4)
r_{11} = Segment(N_4, O_4)
a_{12} = Segment(O_4, P_4)
d_{12} = Segment(P_4, U_4)
e_{12} = Segment(U_4, V_4)
f_{12} = Segment(V_4, B_5)
r_{12} = Segment(B_5, Z_4)
t_{12} = Segment(Z_4, R_4)
a_{13} = Segment(R_4, Q_4)
c_{13} = Segment(Q_4, K_4)
d_{13} = Segment(K_4, J_4)
E_5 = Point(a_{11})
e_{13} = Segment(J_4, E_5)
f_{13} = Segment(K_4, G_4)
F_5 = Intersect(a_{12}, d_{12})
j_{13} = Segment(F_5, H_4)
G_5 = Intersect(r_{11}, a_{12})
p_{13} = Segment(G_5, I_4)
r_{13} = Segment(K_4, N_4)
s_{13} = Segment(Q_4, F_5)
a_{14} = Segment(S_4, U_4)
c_{14} = Segment(W_4, V_4)
d_{14} = Segment(V_4, Q_4)
f_{14} = Segment(P, G)
g_{14} = Segment(Q, H)
h_{14} = Segment(R, I)
j_{14} = Segment(S, J)
p_{14} = Segment(T, K)
I_5 = Intersect(r_7, a_{10})
J_5 = Intersect(e_8, a_{10})
K_5 = Intersect(r_8, a_{10})
L_5 = Intersect(a_{10}, t_8)
M_5 = Intersect(a_{10}, t_7)
N_5 = Intersect(t_7, f)
O_5 = Intersect(t_8, f)
P_5 = Intersect(r_8, f)
Q_5 = Intersect(e_8, f)
R_5 = Intersect(r_7, f)
S_5 = Intersect(r_7, l)
T_5 = Intersect(e_8, l)
U_5 = Intersect(r_8, l)
V_5 = Intersect(t_8, l)
W_5 = Intersect(t_7, l)
Z_5 = Intersect(t_7, m)
A_6 = Intersect(t_8, m)
B_6 = Intersect(r_8, m)
C_6 = Intersect(e_8, m)
D_6 = Intersect(r_7, m)
E_6 = Intersect(r_7, n)
F_6 = Intersect(e_8, n)
G_6 = Intersect(r_8, n)
H_6 = Intersect(t_8, n)
I_6 = Intersect(t_7, n)
e_{14} = Segment(O, E)
r_{14} = Segment(F, Z)
s_{14} = Segment(W, L)
t_{14} = Segment(M, V)
a_{15} = Segment(U, N)
wielokąt64, i_{16}, m_{18}, o_{15}, w_{10}, a_{16}, i_{17}, g_{15}, c_{15}, e_{15}, s_{15}, q_{15} = Polygon(I_5, M_5, O_5, W_5, A_6, I_6, G_6, C_6, E_6, S_5, Q_5)
wielokąt69, i_{18}, j_{15}, q_{16}, r_{15} = Polygon(I_5, J_5, Q_5, R_5)
wielokąt70, j_{16}, k_{15}, p_{15}, q_{17} = Polygon(J_5, K_5, P_5, Q_5)
wielokąt71, k_{16}, l_{17}, o_{16}, p_{16} = Polygon(K_5, L_5, O_5, P_5)
wielokąt72, o_{17}, l_{18}, m_{19} = Polygon(L_5, M_5, O_5)
wielokąt73, r_{16}, q_{18}, t_{15}, s_{16} = Polygon(R_5, Q_5, T_5, S_5)
wielokąt74, q_{19}, p_{17}, u_{10}, t_{16} = Polygon(Q_5, P_5, U_5, T_5)
wielokąt75, p_{18}, o_{18}, v_{12}, u_{12} = Polygon(P_5, O_5, V_5, U_5)
wielokąt76, v_{15}, o_{19}, w_{11} = Polygon(O_5, W_5, V_5)
wielokąt77, s_{17}, t_{17}, c_{16}, d_{15} = Polygon(S_5, T_5, C_6, D_6)
wielokąt78, t_{18}, u_{13}, b_{15}, c_{17} = Polygon(T_5, U_5, B_6, C_6)
wielokąt79, u_{14}, v_{16}, a_{17}, b_{16} = Polygon(U_5, V_5, A_6, B_6)
wielokąt80, v_{17}, w_{12}, z_{10}, a_{18} = Polygon(V_5, W_5, Z_5, A_6)
wielokąt81, d_{16}, c_{18}, f_{15}, e_{16} = Polygon(D_6, C_6, F_6, E_6)
wielokąt82, g_{16}, c_{19}, b_{17} = Polygon(C_6, B_6, G_6)
wielokąt83, b_{18}, a_{19}, h_{15}, g_{17} = Polygon(B_6, A_6, H_6, G_6)
q = 7 (slider from 0 to 16, step 1)
wielokąt84, q_{21}, i_{19}, j_{17} = Polygon(I_5, J_5, Q_5)
wielokąt85, t_{19}, s_{18}, q_{22} = Polygon(S_5, Q_5, T_5)
wielokąt86, a_{20}, v_{18}, w_{13} = Polygon(V_5, W_5, A_6)
wielokąt87, h_{16}, a_{21}, i_{20} = Polygon(A_6, I_6, H_6)
wielokąt88, e_{17}, d_{17}, c_{20} = Polygon(D_6, C_6, E_6)
n_{15} = Segment(I_5, M_5)
f_{16} = Segment(I_5, M_5)
n_{16} = Segment(M_5, O_5)
f_{17} = Segment(O_5, W_5)
h_{17} = Segment(W_5, A_6)
k_{17} = Segment(A_6, I_6)
n_{17} = Segment(I_6, G_6)
r_{17} = Segment(G_6, C_6)
d_{18} = Segment(C_6, E_6)
e_{18} = Segment(E_6, S_5)
f_{18} = Segment(S_5, Q_5)
g_{18} = Segment(Q_5, I_5)
h_{18} = Segment(C_6, J_5)
j_{18} = Segment(G_6, K_5)
k_{18} = Segment(H_6, L_5)
n_{18} = Segment(S_5, W_5)
r_{18} = Segment(D_6, A_6)
H_5 = Intersect(n_{16}, f_{17})
b_{19} = Segment(Q_5, H_5)
J_6 = (22, -13)
d_{19} = Segment(M_2, D_3)
e_{19} = Segment(I_3, C_3)
f_{19} = Segment(D_2, B_3)
g_{19} = Segment(J_3, A_3)
h_{19} = Segment(K_3, Z_2)
j_{19} = Segment(L_3, W_2)
k_{19} = Segment(G_3, M_3)
l_{19} = Segment(F_3, C_2)
n_{19} = Segment(L_2, N_2)
p_{19} = Segment(U_3, V_3)
r_{19} = Segment(O_3, N_3)
s_{19} = Segment(B_2, G_2)
b_{20} = Segment(G_2, I_2)
d_{20} = Segment(I_2, V_2)
e_{20} = Segment(V_2, L_3)
f_{20} = Segment(L_3, K_3)
g_{20} = Segment(K_3, P_3)
h_{20} = Segment(P_3, Q_3)
j_{20} = Segment(Q_3, J_3)
k_{20} = Segment(J_3, I_3)
l_{20} = Segment(I_3, O_2)
m_{20} = Segment(O_2, Q_2)
n_{20} = Segment(Q_2, M_2)
p_{20} = Segment(M_2, L_2)
r_{20} = Segment(L_2, B_2)
L_6 = Point(b_{14})
M_6 = Point(b_{14})
s_{20} = OrthogonalLine(L_6, b_{14})
t_{20} = OrthogonalLine(M_6, b_{14})
K_6 = Intersect(s_{20}, e)
N_6 = Intersect(t_{20}, e)
wielokąt89, m_{21}, n_{21}, k_{21}, l_{21} = Polygon(M_6, N_6, K_6, L_6)
z_{11} = true
p = true
z_{12} = true
z_{13} = true
tekst4: "liczba \;  kwadratów =" + (LaTeX[a]) + ""
tekst4_2: "liczba \;  kwadratów =" + (LaTeX[b]) + ""
a_{22} = 16 (slider from 0 to 16, step 1)
a_{23} = 16 (slider from 0 to 16, step 1)
tekst4_3: "liczba \;  kwadratów =" + (LaTeX[o]) + ""
w_{14} = false
z_{14} = false
u_{15} = true
w_{15} = false
tekst4_5: "liczba \;  kwadratów =" + (LaTeX[b - 1]) + ""
tekst4_1: "liczba \;  kwadratów =" + (LaTeX[q]) + ""
tekst4_4: "liczba \;  kwadratów =" + (LaTeX[q - 1]) + ""
tekst4_8: "liczba \;  kwadratów =" + (LaTeX[q - 2]) + ""
tekst4_6: "liczba \;  kwadratów =" + (LaTeX[q - 3]) + ""
tekst4_{10}: "liczba \;  kwadratów =" + (LaTeX[q - 4]) + ""