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-rw-r--r--buch/chapters/60-gruppen/images/kartenkreis.tex11
1 files changed, 7 insertions, 4 deletions
diff --git a/buch/chapters/60-gruppen/images/kartenkreis.tex b/buch/chapters/60-gruppen/images/kartenkreis.tex
index 8f2d9d5..4f19937 100644
--- a/buch/chapters/60-gruppen/images/kartenkreis.tex
+++ b/buch/chapters/60-gruppen/images/kartenkreis.tex
@@ -62,12 +62,13 @@
\node at (1.6,-1.6) {$\varphi_{14}$};
\node at (-1.24,1.32)
- [left] {$\varphi_2\circ\varphi_4^{-1}(x)=\sqrt{1-x^2}$};
-\node at (-1.6,-1.6) {$\varphi_{42}$};
+ [left] {$\varphi_2\circ\varphi_3^{-1}(x)=\sqrt{1-x^2}$};
+\node at (-1.6,1.6) {$\varphi_{23}$};
\node at (-1.18,-1.28)
[left] {$\varphi_4\circ\varphi_2^{-1}(y)=-\sqrt{1-y^2}$};
-\node at (-1.6,1.6) {$\varphi_{23}$};
+\node at (-1.6,-1.6) {$\varphi_{42}$};
+
\foreach \y in {0.1,0.3,...,0.9}{
\draw[->,color=red,shorten >= 0.1cm,shorten <= 0.3cm]
@@ -90,7 +91,9 @@
({-\x},{-sqrt(1-\x*\x)}) -- ({-\x},-1.5);
}
-\draw[color=gray!20,line width=3pt] (0,0) circle[radius=1];
+%\draw[color=gray!50,line width=3pt] (0,0) circle[radius=1];
+\draw[color=yellow!30,line width=3pt] (0,0) circle[radius=1];
+\node[color=yellow] at ({1/sqrt(2)},{1/sqrt(2)}) [above right] {$S^1$};
\def\r{1.02}