Konstruktion der ÄUSSEREN Tangenten

1. Gerade g durch M_1M_2

2. Hilfspunkt P_1 auf k_1

3. M_1P_1 // M_2 → P_2

4. Gerade durch P_1P_2 ∩ g → Z

5. Thaleskreis über M_1Z ∩ k_1 → T_1, T_2

6. M_1T_1 // M_2 → S_1

7. M_1T_2 // M_2 → S_2

8. t_1 durch T_1S_1

9. t_2 durch T_2S_2

M_1 = (5.04, -1.72)
B = (12.073635980045356, -1.107999530158725)
k_1 = Circle(M_1, B)
M_2 = (20.628548237641734, -2.309929351473917)
D = (24.305039455782325, -2.3806311056689284)
k_2 = Circle(M_2, D)
g = Line(M_1, M_2)
P_1 = Point(k_1)
f = Segment(M_1, P_1)
h = Line(M_2, f)
P_2 = Intersect(k_2, h, 2)
i = Segment(M_2, P_2)
j = Line(P_1, P_2)
Z = Intersect(g, j)
A = Midpoint(M_1, Z)
Thaleskreis = Circle(A, M_1)
T_1 = Intersect(k_1, Thaleskreis, 1)
T_2 = Intersect(k_1, Thaleskreis, 2)
k = Segment(M_1, T_1)
l = Line(M_2, k)
S_1 = Intersect(k_2, l, 2)
m = Segment(M_2, S_1)
n = Segment(M_1, T_2)
p = Line(M_2, n)
S_2 = Intersect(k_2, p, 2)
q = Segment(M_2, S_2)
t_1 = Line(T_1, S_1)
t_2 = Line(T_2, S_2)
α = Angle(M_1, T_1, S_1)
β = Angle(M_2, S_1, Z)
γ = Angle(S_2, T_2, M_1)
δ = Angle(Z, S_2, M_2)