Author: M. Τσιλπιρίδης

Ψηφιακό Σχολείο - Μαθηματικά Β' Γυμνασίου - B.1.4. Πυθαγόρειο Θεώρημα

Μπορείτε να ανοίξετε το παράθυρο της εφαρμογής κάνοντας διπλό κλικ στο σχέδιο.

ε

ε

β

γ

α

Ε

α

Ε_1

γ

Ε_2

β

Oδηγίες

Για μετακίνηση

Για περιστροφή

Να προτιμήσετε τη στοίχιση σημείων στο πλέγμα

Τροποποίηση μικροπειράματος
http://photodentro.edu.gr/v/item/ds/8521/5333

β = 3 (slider from 1 to 5, step 0.1)
γ = 1 (slider from 1 to 5, step 0.1)
A = (-2, -4)
c = Circle(A, γ)
B = Point(c)
a = Segment(A, B)
b = OrthogonalLine(A, a)
d = Circle(A, β)
C, D = Intersect(d, b)
πολύγ.1, b_1, d_1, a_1 = Polygon(D, A, B)
E = (-8, 0)
e = Circle(E, γ)
F = Point(e)
f = Segment(E, F)
g = OrthogonalLine(E, f)
h = Circle(E, β)
G, H = Intersect(h, g)
πολύγ.2, f_1, h_1, e_1 = Polygon(H, E, F)
I = (-4, 0)
k = Circle(I, γ)
J = Point(k)
i = Segment(I, J)
j = OrthogonalLine(I, i)
p = Circle(I, β)
K, L = Intersect(p, j)
πολύγ.3, j_1, l, i_1 = Polygon(L, I, J)
M = (-2, 0)
q = Circle(M, γ)
N = Point(q)
m = Segment(M, N)
n = OrthogonalLine(M, m)
r = Circle(M, β)
O, P = Intersect(r, n)
πολύγ.4, n_1, p_1, m_1 = Polygon(P, M, N)
Q = (-8, -4)
s = Circle(Q, γ)
R = Point(s)
t = Segment(Q, R)
c_1 = OrthogonalLine(Q, t)
g_1 = Circle(Q, β)
S, T = Intersect(g_1, c_1)
πολύγ.5, r_1, t_1, q_1 = Polygon(T, Q, R)
U = (-6, 0)
k_1 = Circle(U, γ)
V = Point(k_1)
l_1 = Segment(U, V)
s_1 = OrthogonalLine(U, l_1)
c_2 = Circle(U, β)
W, Z = Intersect(c_2, s_1)
πολύγ.6, v, z, u = Polygon(Z, U, V)
A_1 = (-6, -4)
d_2 = Circle(A_1, γ)
B_1 = Point(d_2)
a_2 = Segment(A_1, B_1)
b_2 = OrthogonalLine(A_1, a_2)
e_2 = Circle(A_1, β)
C_1, D_1 = Intersect(e_2, b_2)
πολύγ.7, b_3, d_3, a_3 = Polygon(D_1, A_1, B_1)
E_1 = (-4, -4)
f_2 = Circle(E_1, γ)
F_1 = Point(f_2)
g_2 = Segment(E_1, F_1)
h_2 = OrthogonalLine(E_1, g_2)
k_2 = Circle(E_1, β)
G_1, H_1 = Intersect(k_2, h_2)
πολύγ.8, f_3, h_3, e_3 = Polygon(H_1, E_1, F_1)
S_1 = (0, -0.15623307861349356)
s_2 = Circle(S_1, a_1)
T_1 = Point(s_2)
U_1 = Rotate(S_1, 270*°, T_1)
V_1 = Rotate(T_1, 90*°, S_1)
πολύγ.11, v_1, s_3, t_2, u_1 = Polygon(V_1, S_1, T_1, U_1)
I_1 = (4, -4)
p_2 = Circle(I_1, γ)
i_2 = Line(I_1, xAxis)
J_1, K_1 = Intersect(p_2, i_2)
L_1 = Rotate(K_1, 90*°, I_1)
M_1 = Rotate(I_1, 270*°, K_1)
πολύγ.9, l_2, i_3, k_3, m_2 = Polygon(L_1, I_1, K_1, M_1)
N_1 = (0, -4)
q_2 = Circle(N_1, β)
j_2 = Line(N_1, xAxis)
O_1, P_1 = Intersect(q_2, j_2)
Q_1 = Rotate(N_1, 270*°, P_1)
R_1 = Rotate(P_1, 90*°, N_1)
πολύγ.10, r_2, n_2, p_3, q_3 = Polygon(R_1, N_1, P_1, Q_1)
o = true
W_1 = (6, 5)
Z_1 = (3, 5)
c_3 = Segment(I_1, K_1)