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\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,scale=0.5, every node/.style={transform shape}]%every node/.style={scale=0.6}]
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\draw [line width=0.4pt] (6,0) circle (4.060110835925542cm);
\draw [line width=0.4pt] (-9.48104441126044,-1.9705912328112247)-- (-2.5263226318686436,-1.983548724415917);
\draw [line width=0.4pt] (2.4522436838329384,-1.974316368036472)-- (9.534394591307024,-1.998137851335504);
\draw [line width=0.4pt] (-9.48104441126044,-1.9705912328112247)-- (-8.64170354100338,3.003714766992732);
\draw [line width=0.4pt] (2.4522436838329384,-1.974316368036472)-- (3.2757591005565456,3.0104836026458477);
\draw [line width=0.4pt] (-9.48104441126044,-1.9705912328112247)-- (-1.64,5.53);
\draw [line width=0.4pt] (-8.64170354100338,3.003714766992732)-- (-2.5263226318686436,-1.983548724415917);
\draw [line width=0.4pt] (3.2757591005565456,3.0104836026458477)-- (9.534394591307024,-1.998137851335504);
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\draw (-6.24,5.15) node[anchor=north west] {$K$};
\draw (5.78,5.23) node[anchor=north west] {$K$};
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\draw[color=xdxdff] (1.86,-2.22) node {$P_1$};
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\draw[color=xdxdff] (-8.96,3.44) node {$P_3$};
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\draw[color=xdxdff] (2.94,3.5) node {$P_3$};
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\draw[color=ududff] (-1.24,5.88) node {$P_4$};
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\draw[color=ududff] (8.96,1.84) node {$P_4$};
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\draw[color=qqwuqq] (3.6,2.1) node {$\alpha$};
\draw[color=qqwuqq] (8.4,0.4) node {$\beta$};
\end{scriptsize}
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