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LaTeX-examples/tikz/circle-convex-metric-space/circle-convex-metric-space.tex

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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{shapes, calc, shapes, arrows}
\usepackage{amsmath,amssymb}
\usepackage{xcolor}
\definecolor{xvectorcolor}{HTML}{77933C}
\begin{document}
\begin{tikzpicture}
\path (160:1) coordinate (X);
\path ( 20:1) coordinate (Y);
\path ( 80:1) coordinate (Z);
\draw (0,0) circle (1);
\fill[color=blue] (X) circle (2pt);
\draw[blue] (X) node [right] {$x$};
\fill[color=blue] (Y) circle (2pt);
\draw[blue] (Y) node [left] {$y$};
\fill[color=red] (Z) circle (2pt);
\draw[red] (Z) node [below] {$z$};
\end{tikzpicture}
\end{document}