Konstruktion der INNEREN Tangenten

1. Gerade g durch M_1M_2

2. Hilfspunkt P_1 auf k_1

3. M_1P_1 // M_2 → P_2

4. Punktspiegelung von P_1 an M_1 → P_1'

5. P_1'P_2  ∩  g → Z

7. Thaleskreis über M_1Z ∩ k_1 → T_1, T_2

8. M_1T_1 // M_2 → R_1

9. M_1T_2 // M_2 → R_2

10. T_1R_1 =  t_1 und T_2R_2 = t_2

M_1 = (5.04, -1.72)
B = (11.93223247165533, -1.3908065469387678)
k_1 = Circle(M_1, B)
M_2 = (27.592671025850354, -1.214052161451241)
D = (30.137934176870758, 0.1999829224489853)
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)
P_1' = Mirror(P_1, M_1)
r = Segment(M_1, P_1')
j = Segment(P_1', P_2)
Z = Intersect(g, j)
A = Midpoint(M_1, Z)
Thaleskreis = Circle(A, Z)
T_2, T_1 = Intersect(Thaleskreis, k_1)
k = Segment(M_1, T_1)
l = Line(M_2, k)
m = Line(M_2, k)
R_1 = Intersect(k_2, m, 1)
n = Segment(M_2, R_1)
p = Segment(M_1, T_2)
q = Line(M_2, p)
R_2, E = Intersect(k_2, q)
s = Segment(M_2, R_2)
t_1 = Line(T_1, R_1)
t_2 = Line(T_2, R_2)
α = Angle(M_1, T_1, Z)
β = Angle(Z, R_2, M_2)
γ = Angle(Z, T_2, M_1)
δ = Angle(M_2, R_1, Z)