C:\Users\maria sapuppo\Desktop\Pitagora\Esercizi\dimostrazioni geogebra\Geogebra\14La relazione pitagorica tra figuresimili in Euclidegeogebra-export

Muovi d

Reset d

Muovi w

Reset w

A = (3, 5)
B = (3, 3)
d: 3
M_1 = (11.684342658240189, 6.47348601263972)
N_1 = (11.684342658240189, 3.47348601263972)
O_1 = (13.684342658240189, 3.47348601263972)
t2, o_1, k_2, l_2 = Polygon(M_1, N_1, O_1)
c_2 = Semicircle(M_1, O_1)
d_2 = Semicircle(O_1, N_1)
e_2 = Semicircle(N_1, M_1)
P_1 = Point(c_2)
Q_1 = Point(e_2)
R_1 = Point(d_2)
r_2 = CircumcircleSector(N_1, R_1, O_1)
u = Area(r_2)
Puntor2_{1} = PointIn(r_2)
w: 0
S_1 = (12.92, 7.74)
m_2 = Segment(M_1, S_1)
T_1 = (16.12, 3.4)
n_2 = Segment(O_1, T_1)
U_1 = (13.34, 6.46)
s_2 = Segment(S_1, U_1)
V_1 = (14.4, 6.32)
t_2 = Segment(U_1, V_1)
W_1 = (14.18, 5.34)
a_2 = Segment(V_1, W_1)
Z_1 = (15.24, 4.98)
b_2 = Segment(W_1, Z_1)
A_2 = (15, 4)
f_3 = Segment(Z_1, A_2)
g_3 = Segment(A_2, T_1)
α = Angle(O_1, M_1, S_1)
β = Angle(T_1, O_1, M_1)
B_2 = Rotate(N_1, α, O_1)
γ = Angle(N_1, O_1, B_2)
C_2 = Rotate(O_1, (-β), N_1)
δ = Angle(C_2, N_1, O_1)
D_2 = Rotate(M_1, α, N_1)
ε = Angle(M_1, N_1, D_2)
E_2 = Rotate(N_1, (-β), M_1)
ζ = Angle(E_2, M_1, N_1)
h_3 = Ray(O_1, B_2)
c_3 = Circle(O_1, (m_2 * k_2 / l_2))
d_3 = Circle(N_1, (n_2 * k_2 / l_2))
i_3 = Ray(N_1, C_2)
F_2 = Intersect(d_3, i_3, 1)
G_2 = Intersect(c_3, h_3, 1)
e_3 = Circle(N_1, (m_2 * o_1 / l_2))
j_3 = Segment(N_1, D_2)
H_2 = Intersect(e_3, j_3, 1)
k_3 = Circle(M_1, (n_2 * o_1 / l_2))
l_3 = Segment(M_1, E_2)
I_2 = Intersect(k_3, l_3, 1)
m_3 = Segment(M_1, I_2)
n_3 = Segment(N_1, H_2)
p_3 = Segment(N_1, F_2)
q_3 = Segment(O_1, G_2)
η = Angle(M_1, S_1, U_1)
J_2 = Rotate(O_1, η, G_2)
θ = Angle(O_1, G_2, J_2)
K_2 = Rotate(N_1, η, H_2)
ι = Angle(N_1, H_2, K_2)
κ = Angle(A_2, T_1, O_1)
L_2 = Rotate(N_1, (-κ), F_2)
λ = Angle(L_2, F_2, N_1)
M_2 = Rotate(M_1, (-κ), I_2)
μ = Angle(M_2, I_2, M_1)
r_3 = Circle(G_2, (s_2 * k_2 / l_2))
s_3 = Segment(J_2, G_2)
N_2 = Intersect(r_3, s_3, 1)
t_3 = Segment(G_2, N_2)
c_4 = Circle(H_2, (s_2 * o_1 / l_2))
a_3 = Segment(H_2, K_2)
O_2 = Intersect(c_4, a_3, 1)
b_3 = Segment(H_2, O_2)
Q_2 = (4.44, 9.58)
f_4 = Segment(F_2, L_2)
d_4 = Circle(F_2, (g_3 * k_2 / l_2))
P_2 = Intersect(d_4, f_4, 1)
g_4 = Segment(F_2, P_2)
e_4 = Circle(I_2, (g_3 * o_1 / l_2))
h_4 = Segment(I_2, M_2)
R_2 = Intersect(e_4, h_4, 1)
i_4 = Segment(I_2, R_2)
ν = Angle(S_1, U_1, V_1)
S_2 = Rotate(G_2, ν, N_2)
ξ = Angle(G_2, N_2, S_2)
T_2 = Rotate(H_2, ν, O_2)
ο = Angle(H_2, O_2, T_2)
k_4 = Circle(N_2, (t_2 * k_2 / l_2))
j_4 = Ray(N_2, S_2)
U_2 = Intersect(k_4, j_4, 1)
l_4 = Segment(U_2, N_2)
p_4 = Circle(O_2, (t_2 * o_1 / l_2))
m_4 = Segment(O_2, T_2)
V_2 = Intersect(p_4, m_4, 1)
n_4 = Segment(V_2, O_2)
ρ = Angle(Z_1, A_2, T_1)
W_2 = Rotate(I_2, (-ρ), R_2)
σ = Angle(W_2, R_2, I_2)
Z_2 = Rotate(F_2, (-ρ), P_2)
τ = Angle(Z_2, P_2, F_2)
q_4 = Circle(R_2, (f_3 * o_1 / l_2))
r_4 = Segment(R_2, W_2)
A_3 = Intersect(q_4, r_4, 1)
s_4 = Segment(A_3, R_2)
t_4 = Circle(P_2, (f_3 * k_2 / l_2))
a_4 = Segment(P_2, Z_2)
B_3 = Intersect(t_4, a_4, 1)
b_4 = Segment(P_2, B_3)
υ = Angle(W_1, Z_1, A_2)
C_3 = Rotate(P_2, (-υ), B_3)
ϕ = Angle(C_3, B_3, P_2)
D_3 = Rotate(R_2, (-υ), A_3)
χ = Angle(D_3, A_3, R_2)
c_5 = Circle(B_3, (b_2 * k_2 / l_2))
f_5 = Ray(B_3, C_3)
E_3 = Intersect(c_5, f_5, 1)
g_5 = Segment(B_3, E_3)
h_5 = Segment(E_3, U_2)
d_5 = Circle(A_3, (b_2 * o_1 / l_2))
i_5 = Ray(A_3, D_3)
F_3 = Intersect(d_5, i_5, 1)
j_5 = Segment(A_3, F_3)
k_5 = Segment(V_2, F_3)
poli4, l_5, m_5, u_1, v_1, w_1, z_1, n_5, p_5, q_5 = Polygon(M_1, S_1, U_1, V_1, W_1, Z_1, A_2, T_1, O_1)
poli5, r_5, s_5, t_5, u_2, a_5, b_5, e_5, f_6, g_6 = Polygon(O_1, G_2, N_2, U_2, E_3, B_3, P_2, F_2, N_1)
poli6, h_6, i_6, o_2, v_2, j_6, k_6, l_6, m_6, n_6 = Polygon(N_1, H_2, O_2, V_2, F_3, A_3, R_2, I_2, M_1)
testo1: "Area di poli6=" + poli6 + ""
testo2: "Area di poli4=" + poli4 + ""
testo3: "Area di poli5=" + poli5 + ""
C = (1.9672375789839887, 3.623119618116774)
D = (3.561878805774959, 3.601857735092895)
f = Segment(C, D)
g = OrthogonalLine(C, f)
E = Point(g)
t1, e, c, d_1 = Polygon(C, D, E)
poli1, h, i, j, r, a, g_1, f_7, i_7, l_7, F, I, L, O, B_1, L_1, I_3 = Polygon(E, D, d)
poli2, k, l, m, s, b, h_1, g_7, j_7, m_7, G, J, M, P, D_1, G_3, J_3 = Polygon(D, C, d)
poli3, n, p, q, t, f_1, i_1, h_7, k_7, n_7, H, K, N, Q, E_1, H_3, K_3 = Polygon(C, E, d)
Testopoli1: "Area di " + (Name[poli1]) + " = " + poli1
Puntopoli1 = PointIn(poli1)
Testopoli2: "Area di " + (Name[poli2]) + " = " + poli2
Puntopoli2 = PointIn(poli2)
Testopoli3: "Area di " + (Name[poli3]) + " = " + poli3
Puntopoli3 = PointIn(poli3)
R = Intersect(o_1, l_2)
j_1 = OrthogonalLine(R, l_2)
S = Intersect(k_2, l_2)
k_1 = OrthogonalLine(S, l_2)
T = Point(j_1)
l_1 = Line(T, l_2)
U = Intersect(k_1, l_1)
m_1 = Segment(T, U)
V = Point(m_1)
c_1 = Semicircle(T, V)
p_1 = OrthogonalLine(S, k_2)
W = Intersect(o_1, k_2)
q_1 = OrthogonalLine(W, k_2)
s_1 = Segment(T, V)
C_1 = Point(c_1)
g_2 = CircumcircleSector(T, C_1, V)
a_1 = OrthogonalLine(R, o_1)
i_2 = OrthogonalLine(W, o_1)
a_6 = Segment(V, U)
z_{10}: 4.01 + 1.06
p_6 = OrthogonalLine(O_1, k_2)
M_3: (((A * r) * e) * a)
O_3: ((((A * r) * e) * a) * 3)
Z = (17, 3)
t3, n_1, r_1, z_2 = Polygon(M_1, Z, O_1)
A_1 = (11.12982009585905, 1.981281272449279)
ψ = Angle(O_1, M_1, Z)
F_1 = Rotate(N_1, ψ, O_1)
e_1 = Circle(O_1, (n_1 * k_2 / l_2))
t_1 = Ray(O_1, A_1)
G_1 = Intersect(e_1, t_1)
H_1 = Rotate(M_1, ψ, N_1)
α_1 = Angle(M_1, N_1, H_1)
f_2 = Circle(N_1, (n_1 * o_1 / l_2))
h_2 = Ray(N_1, H_1)
I_1 = Intersect(f_2, h_2, 1)
t5, j_2, s_6, t_6 = Polygon(I_1, M_1, N_1)
Puntot5 = PointIn(t5)
Puntot3 = PointIn(t3)
J_1 = Rotate(N_1, ψ, O_1)
ω = Angle(N_1, O_1, J_1)
b_1 = Ray(O_1, J_1)
c_6 = Circle(O_1, (n_1 * k_2 / l_2))
K_1 = Intersect(c_6, b_1, 1)
e_6 = Ray(O_1, K_1)
t4, q_6, r_6, b_6 = Polygon(N_1, K_1, O_1)
d_6 = Circle(N_1, (n_1 * s_6 / z_2))
Puntot4 = PointIn(t4)
testo4: "Area di t5=" + t5 + ""
testo5: "Area di t4=" + t4 + ""
testo6: "Area di t3=" + t3 + ""
massimo = 8 (slider from -5 to 10)
max = 6 (slider from -5 to 10)
L_3 = Intersect(d_2, r_2, 1)
N_3 = Intersect(d_2, r_2, 1)
P_3 = (8.351857925876995, 4.882519034718025)
S_3 = Point(z_2)
Q_3 = Intersect(d_2, r_2, 1)
R_3 = Intersect(d_2, e_2, 1)
T_3 = Point(e_2)
q_2 = CircumcircleSector(R_3, T_3, S_3)
o = Area(q_2)
Testoq2: "Area di " + (Name[q_2]) + " = " + o
Puntoq2_{1} = PointIn(q_2)
w_2 = Area(r_2)
testo7: "Area di " + (Name[r_2]) + " = " + w_2
Puntor2 = PointIn(r_2)
V_3 = Point(c_2)
p_2 = CircumcircleSector(S_3, V_3, L_3)
v = Area(p_2)
Testop2: "Area di " + (Name[p_2]) + " = " + v
Puntop2 = PointIn(p_2)
o_3 = Area(q_2)
Puntoq2 = PointIn(q_2)
min = 0 (slider from -5 to 5)
minimo = 3 (slider from -5 to 5)