a

b

b

a

c

a^2

b^2

c^2

+

=

+

=

b

a

c

a

b

a

b

b

a

b

a

a²

b²

b

a^2

b^2

Abbildung 1

c

c

c

b

a

b

a

b

a

a

b

c^2

a und b

Abbildung 2

C = (-16, 4)
P = (-12, 4)
f = Ray(C, P)
γ = 1.5707963267948966 rad (slider from 40° to 130°)
P' = Rotate(P, γ, C)
g = Ray(C, P')
a = 1 (slider from 0 to 10)
b = 2 (slider from 0 to 10)
c_1 = Circle(C, a)
B = Intersect(c_1, g)
h = Segment(C, B)
d = Circle(C, b)
A = Intersect(d, f)
c_2 = Segment(C, A)
c = Segment(A, B)
C2: b
A2: a
E2: c
e = Circle(B, b)
D, Z = Intersect(e, g)
i = Line(B, C)
E, F = Intersect(d, i)
j = Segment(C, F)
k = Line(A, C)
G, H = Intersect(c_1, k)
l = Segment(C, H)
m = Line(B, l)
n = Line(H, j)
p = Line(F, c_2)
q = Line(A, j)
I = Intersect(n, m)
J = Intersect(p, n)
K = Intersect(p, q)
L = Intersect(m, q)
r = Segment(I, L)
s = Segment(L, K)
t = Segment(K, J)
f_1 = Segment(J, I)
M = Intersect(h, c_2)
N = Intersect(t, f_1)
g_1 = Segment(M, N)
h_1 = Segment(I, B)
i_1 = Segment(B, L)
j_1 = Segment(L, A)
k_1 = Segment(A, K)
l_1 = Segment(K, F)
m_1 = Segment(F, J)
n_1 = Segment(J, H)
p_1 = Segment(H, I)
O = Intersect(l, n_1)
Q = Intersect(h, c_2)
Vieleck1, q_1, r_1, s_1, t_1, R, S = Polygon(O, Q, 4)
T = Intersect(j, l_1)
U = Intersect(k_1, l_1)
Vieleck2, a_1, b_1, d_1, e_1, V, W = Polygon(T, U, 4)
o = true
Vieleck3, f_2, g_2, h_2, i_2, A_1, B_1 = Polygon(A, B, 4)
j_2 = Line(A_1, h)
k_2 = Line(B_1, d_1)
l_2 = Line(A, h)
m_2 = Line(B, d_1)
C_1 = Intersect(j_2, m_2)
D_1 = Intersect(l_2, m_2)
E_1 = Intersect(k_2, l_2)
F_1 = Intersect(j_2, k_2)
n_2 = Segment(F_1, B_1)
p_2 = Segment(B_1, E_1)
q_2 = Segment(E_1, A)
r_2 = Segment(A, D_1)
s_2 = Segment(D_1, B)
t_2 = Segment(B, C_1)
a_2 = Segment(F_1, A_1)
b_2 = Segment(A_1, C_1)
u = true
v = false