AH S.65
Nr. 4.2a

1. Strecke AB = 8cm

2. Winkel α = 60°

3. Parallele zu AB im Abstand 4cm

4. Parallele ∩ Schenkel von α → Ecke D

5. Ecke C konstruieren

A = (4.74, -1.9)
B = Point(Circle[A, 8])
f = Segment(A, B)
B'_1 = Rotate(B, 60°, A)
α = Angle(B, A, B'_1)
g = Ray(A, B'_1)
C_1 = Point(f)
h = OrthogonalLine(C_1, f)
D_1 = Point(h)
β = Angle(B, C_1, D_1)
i = Ray(C_1, D_1)
c = Circle(C_1, 4)
E = Point(c)
F = Point(c)
d = CircleArc(C_1, E, F)
G = Intersect(d, i)
j = Segment(C_1, G)
k = Line(G, f)
D = Intersect(k, g)
l = Line(B, g)
C = Intersect(k, l)
Vieleck1, a, b, i_1, h_1 = Polygon(A, B, C, D)
m = Segment(A, C)
n = Segment(D, B)
Z = Intersect(n, m)
C' = Midpoint(Z, C)
H = Midpoint(n)
D' = Midpoint(D, Z)
A' = Midpoint(Z, A)
B' = Midpoint(Z, B)
Vieleck2, d', c', b', a' = Polygon(D', C', B', A')