Skizze:

A

B

C

6

4

8

1. c = 8cm

2. k_1 (B, r = 6cm)

3. k_2 (A, r = 4cm)

4. k_1 ∩ k_2 →  Ecke C (2 Lösungen)

Der Umkreismittelpunkt ist der Schnittpunkt der Mittelsenkrechten!

A_1 = (0.24, -4.26)
B_1 = (3.16, -4.64)
C_1 = (1.24, -3)
Vieleck1, c, a, b = Polygon(A_1, B_1, C_1)
A = (7.84, -0.1)
B = Point(Circle[A, 8])
f = Segment(A, B)
k_1 = Circle(B, 6)
k_2 = Circle(A, 4)
C, E = Intersect(k_2, k_1)
Vieleck2, b_1, a_1, c_1 = Polygon(A, C, B)
m_BC = LineBisector(a_1)
m_AC = LineBisector(b_1)
D = Intersect(b_1, m_AC)
F = Intersect(m_BC, a_1)
G, H = Intersect(k_2, m_AC)
I, J = Intersect(k_1, m_BC)
α = Angle(B, F, J)
β = Angle(C, D, H)
Z = Intersect(m_BC, m_AC)
g = Ray(Z, A)
h = Ray(Z, C)
i = Ray(Z, B)
B' = Dilate(B, 1.5, Z)
C' = Dilate(C, 1.5, Z)
A' = Dilate(A, 1.5, Z)
Vieleck3, b', a', c' = Polygon(A', C', B')