1 \begin{figure}[thb]

2 \centering

3 \begin{tikzpicture}[scale=4.4]

4 \coordinate [] (O) at (0, 0) {};

5

6 \coordinate [label=above right:$X$] (X) at (60:1) {};

7 \coordinate [label=below left:$Y$] (Y) at (200:1) {};

8

9 \coordinate [label=above left:$A$] (A) at ($ (Y)!.3!(X)$) {};

10 \coordinate [label=above left:$B$] (B) at ($ (X)!.2!(Y)$) {};

11

12 \coordinate [label=below:$M$] (M) at (280:1) {};

13 \coordinate [label=below right:$N$] (N) at (330:1) {};

14

15 \coordinate [label=above left:$P$] (P) at (intersection of X--M and Y--N) {};

16

17 % disk model

18 \node [draw,thick,circle through=(X)] (circle) at (O) {};

19

20 % chords

21 \draw (X) --node[auto]{$l$} (Y);

22 \draw (X) -- (M);

23 \draw (Y) -- (N);

24

25 % a bundle of parallel lines

26 \begin{scope}

27 \clip (O) circle(1);

28 \foreach \a in {0,...,6} \draw[very thin]

29 ($ (P)+(180+\a*12:2) $) --

30 ($ (P)+(\a*12:2) $);

31 \end{scope}

32

33 %dot marks

34 \foreach \p in {X, Y, A, B, P, M, N} \draw node[dot] at (\p) {};

35 \end{tikzpicture}

36 \caption{Модель Клейна в круге}

37 \label{fig:klein-model}

38 \end{figure}