\text{ Je daná kružnica }k(S;r) \text{ a body }A≠B, A,B\notin k \text{. Zostrojte kružnicu } k_1:k∩k_1=\left\{T \right\};  A,B∈k_1.

1. \;  \text{kružnica} \; k(S,r)

2. \; A,B∉k

3. \text{ Kruhová inverzia } \mathscr{K}; ω (A, |AB|)

4.  \; \mathscr{K}(k)=k'

5.  \text{ Dotyčnice }t_1, t_2 \text{ z bodu } B \text{ ku } k';  \; T_1,T_2∈k'

6.\text{ Dotykové body dotyčníc ku kružnici }k'

7. \; \overleftrightarrow{AT_1}

8.  \; \mathscr{K}(t_1)=k_1

9.  \; \mathscr{K}(t_2)=k_2

S = (7.12, -2.9)
r = 3 (slider from 1 to 6, step 0.1)
k = Circle(S, r)
A = (1.7, 2.34)
B = (1.6, -1.72)
c = Circle(A, Distance[A, B])
k' = Mirror(k, c)
t_2, t_1 = Tangent(B, k')
T_{2} = Intersect(k', t_2)
T_1 = Intersect(k', t_1)
f = Line(A, T_1)
C, T_1' = Intersect(k, f)
k_1 = Mirror(t_1, c)
k_2 = Mirror(t_2, c)
T_2' = Intersect(k, k_2, 1)