Der Stuhl der Braut

Bewege den Schieberegler.
Begründe, wie hier der Satz des Pythagoras bewiesen wird.

a

b

c

φ = 0 rad (slider from 0 to 4.71238898038469, step 0.017453292519943295)
P = (1, 1)
Q = (4, 1)
R = (8, 1)
A = (8, 5)
C = (4, 5)
F = (1, 4)
G = (4, 4)
poly1, b, c, d, e = Polygon(Q, R, A, C)
poly2, f, a, b_1, g = Polygon(F, P, Q, G)
B = (4, 8)
H = (5, 1)
poly3, f_1, h, d_1, i = Polygon(F, H, A, B)
j = Segment(C, B)
J: (3 * cos(φ) - 4 * sin(φ) + 1, 3 * sin(φ) + 4 * cos(φ) + 4)
L: (3 * cos(φ) + 1, 3 * sin(φ) + 4)
N: (-4 * cos(φ) + 8, 4 * sin(φ) + 5)
K: (-4 * cos(φ) + 3 * sin(φ) + 8, 4 * sin(φ) + 3 * cos(φ) + 5)
O = (8, 5)
poly4, o, k, n = Polygon(K, N, O)
M = (1, 4)
poly5, j_1, m, l = Polygon(M, L, J)
poly6, f_2, h_1, d_2, e_1, g_1 = Polygon(F, H, A, C, G)