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doc/klein-model.tkz.tex

changeset 87: cbbdcdb6a372
parent:7667dc7307f3
author: Dmitry Dzhus <dima@sphinx.net.ru>
date: Mon Nov 10 10:07:00 2008 +0300 (13 days ago)
permissions: -rw-r--r--
description: Newline
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}