Berechne zunächst \overline{ ZC }  und \overline{ ZC' } 

Schau dir die Koordinaten der Vektoren genauer an.
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Tipp1

Tipp2

y_D - y_Z

x_D - x_Z

Vektorenberechnung

D = (-3, 4)
B = (-2, 1)
a = Segment(D, B)
A = (-3.836439774061138, 2.06406228967407)
b = OrthogonalLine(A, a)
C = Mirror(A, a)
poly1, c, a_1, d, b_1 = Polygon(A, D, C, B)
e = Segment(A, C)
f = Segment(B, D)
G = Point(b_1)
H = Point(d)
g = Segment(G, H)
I = Point(g)
J = Point(poly1)
K = Point(g)
M = (-2.0091867692796384, 0.5084591410848429)
N = (-1.4655575846619906, 0.20040260313484248)
O = (-0.668234780556107, -0.08953296199456971)
P = (-1.8098560682531675, 0.9796044344201378)
Q = (-0.8494445087619896, -0.7418879835357471)
R = (-1.5199205031237553, 0.6171849780083726)
S = (-0.7950815903002248, 0.6171849780083726)
T = (0.14720899637036483, 0.4722171954436664)
U = (-0.5051460251708126, -0.3069846358416289)
Z = (1, 5)
K' = Rotate(K, 90°, Z)
I' = Rotate(I, 90°, Z)
i = false
l = Distance(d, b_1)
m = Segment(B, D)
L = Point(m)
E = Point(c)
F = Point(a_1)
n = Segment(E, F)
W = Point(n)
A1 = Point(n)
B1 = Point(b_1)
C1 = Point(d)
h = Segment(B1, C1)
D1 = Point(h)
E1 = Point(h)
p = CircleArc(L, D1, E1)
L' = Rotate(L, 90°, Z)
D1' = Rotate(D1, 90°, Z)
E1' = Rotate(E1, 90°, Z)
u = Vector(Z, D)
H1 = (-2.1421288153361355, 0.7883458031046564)
I1 = (-1.9826642545149586, 1.2468064154655394)
J1 = (-2.1620618854387823, 0.11062141961465545)
K1 = (-1.5640697823593699, -0.14850849171975666)
I1' = Rotate(I1, 90°, Z)
B'_1 = Rotate(B, 90°, Z)
H1' = Rotate(H1, 90°, Z)
J1' = Rotate(J1, 90°, Z)
K1' = Rotate(K1, 90°, Z)
H1'_1 = Rotate(H1, 90°, Z)
a1 = Segment(A, C)
b1 = Segment(B, D)
α_1 = Angle(C, B, A)
β = Angle(A, D, C)
γ = Angle(C, B, A)
δ = Angle(A, D, C)
M1 = (-2.6603886380049597, -0.5272368236700513)
N1 = (-1.823199693693782, -0.6069691040806396)
M1' = Rotate(M1, 90°, Z)
N1' = Rotate(N1, 90°, Z)
o = Distance(a_1, c)
L1 = (-2.3414595163626064, 0.3697513309490676)
O1 = (-1.8032666235911348, -0.0887092814118154)
P1 = (-1.7434674132831935, -0.9856974360309343)
Q1 = (-1.105609169998487, -0.5471698937726984)
q = CircleArc(L1, O1, B)
r = CircleArc(Q1, O1, P1)
L1' = Rotate(L1, 90°, Z)
O1' = Rotate(O1, 90°, Z)
B'_2 = Rotate(B, 90°, Z)
Q1' = Rotate(Q1, 90°, Z)
O1'_1 = Rotate(O1, 90°, Z)
P1' = Rotate(P1, 90°, Z)
ω = 0 rad (slider from 0 to 1.5707963267948966, step 0.017453292519943295)
A' = Rotate(A, ω, Z)
D' = Rotate(D, ω, Z)
C' = Rotate(C, ω, Z)
B' = Rotate(B, ω, Z)
poly1', a', d', c', b' = Polygon(A', D', C', B')
V = Rotate(A1, ω, Z)
F1 = Rotate(W, ω, Z)
G1 = Rotate(L, ω, Z)
L'_1 = Rotate(L, ω, Z)
D1'_1 = Rotate(D1, ω, Z)
E1'_1 = Rotate(E1, ω, Z)
k = Arc(Rotate[Circle[L, D1], ω, Z], D1'_1, E1'_1)
L1'_1 = Rotate(L1, ω, Z)
O1'_2 = Rotate(O1, ω, Z)
B'_3 = Rotate(B, ω, Z)
s = Arc(Rotate[Circle[L1, O1], ω, Z], O1'_2, B'_3)
Q1'_1 = Rotate(Q1, ω, Z)
O1'_3 = Rotate(O1, ω, Z)
P1'_1 = Rotate(P1, ω, Z)
t = Arc(Rotate[Circle[Q1, O1], ω, Z], O1'_3, P1'_1)
v = Vector(Z, D')
j = false
w = Vector(Z, D)
z = Vector(Z, D')
α = Angle(D, Z, D')
c1 = Line(D, xAxis)
d1 = Line(Z, yAxis)
R1 = Intersect(c1, d1)
e1 = Segment(D, R1)
f1 = Segment(R1, Z)
g1 = false
S1 = Intersect(r, q)
U1 = (-1.4444713617434861, 0.11062141961465545)
V1 = (-1.4444713617434861, -0.28803998243828627)
poly2, v1, s1, u1 = Polygon(S1, U1, V1)
S1' = Mirror(S1, S1)
U1' = Mirror(U1, S1)
V1' = Mirror(V1, S1)
poly2', v1', s1', u1' = Polygon(S1', U1', V1')
S1'_1 = Rotate(S1, ω, Z)
U1'_1 = Rotate(U1, ω, Z)
V1'_1 = Rotate(V1, ω, Z)
poly2'_1, v1'_1, s1'_1, u1'_1 = Polygon(S1'_1, U1'_1, V1'_1)
S1'' = Rotate(S1', ω, Z)
U1'' = Rotate(U1', ω, Z)
V1'' = Rotate(V1', ω, Z)
poly2'', v1'', s1'', u1'' = Polygon(S1'', U1'', V1'')