Beamer+Tikz Not compiling

Question

I have tried to compile the following on my own MAC machine through both my text editor and the latexit app, as well as on sharelatex. On my machine I have to quit after a long time, and sharelatex timed out. Im not sure exactly why this isnt quitting with an error or something. I copied and pasted an example from the tikz documentation and put it in a sample beamer slide.

\documentclass{beamer}

% Note - to make this an article/handout we would use:
% \documentclass{article} 
% \usepackage{beamerarticle}

\usepackage{pgfpages}
\usepackage{blindtext}
\usepackage{tikz}
\blindmathtrue
\usepackage{multicol}
% \setbeameroption{show notes on second screen}
\usetheme[progressbar=frametitle]{metropolis}           % Use metropolis theme
% \setbeamertemplate{frame numbering}[none]
\metroset{block=fill}
\setbeamercovered{transparent=15}

\usepackage{amsmath,amssymb,amsthm,mathrsfs,bbm,bm}
\usepackage{graphicx,subcaption,float,enumerate}


\title[short title]{Functions Testing}
\subtitle{Lecture 1}
\date{}
\author{}
\institute{School}


\begin{document}
\maketitle
% \setbeameroption{show notes on second screen}



\begin{frame}[Tea]

\begin{tikzpicture}[thick,help lines/.style={thin,draw=black!50}]

\def\A{\textcolor{input}{$A$}} \def\C{\textcolor{output}{$C$}} \def\E{$E$}

\colorlet{input}{blue!80!black} \colorlet{triangle}{orange}

\def\B{\textcolor{input}{$B$}} \def\D{$D$}

\colorlet{output}{red!70!black}

\coordinate [label=left:\A]

(A) at ($ (0,0) + .1*(rand,rand) $); \coordinate [label=right:\B] (B) at ($ (1.25,0.25) + .1*(rand,rand) $);

\draw [input] (A) -- (B);

\node [name path=D,help lines,draw,label=left:\D]

\node [name path=E,help lines,draw,label=right:\E]

(D) at (A) [circle through=(B)] {};

(E) at (B) [circle through=(A)] {};

\path [name intersections={of=D and E,by={[label=above:\C]C}}];

\draw [output] (A) -- (C) -- (B);

\foreach \point in {A,B,C} \fill [black,opacity=.5] (\point) circle (2pt);

\begin{pgfonlayer}{background} \fill[triangle!80] (A) -- (C) -- (B) -- cycle;

\end{pgfonlayer}

\node [below right, text width=10cm,align=justify] at (4,3) { \small\textbf{Proposition I}\par \emph{To construct an \textcolor{triangle}{equilateral triangle} on a given \textcolor{input}{finite straight line}.} \par\vskip1em Let \A\B\ be the given \textcolor{input}{finite straight line}.

}; \end{tikzpicture}

\end{frame}

\end{document}

Answer 1

Many errors are due to missing TikZ and its libraries but the initial neverending loop comes from copy/paste error of

\node [name path=D,help lines,draw,label=left:\D]

\node [name path=E,help lines,draw,label=right:\E]

(D) at (A) [circle through=(B)] {};

(E) at (B) [circle through=(A)] {};

Here TikZ never stops looking for the content of the node but encounters another node command and all bets are off. It might have been an error too but since the behavior is not well defined anything can happen. Cleaning up the code and running with Lua|XeLaTeX gives

\documentclass{beamer}
\usepackage{tikz}
\usetikzlibrary{calc, intersections,through,backgrounds}
\usetheme[progressbar=frametitle]{metropolis}
\metroset{block=fill}
\setbeamercovered{transparent=15}

\title[short title]{Functions Testing}
\subtitle{Lecture 1}
\date{}
\author{}
\institute{School}

\begin{document}
\maketitle

\begin{frame}{Tea}
\begin{tikzpicture}[thick,help lines/.style={thin,draw=black!50}]
\def\A{\textcolor{input}{$A$}} \def\C{\textcolor{output}{$C$}} \def\E{$E$}
\colorlet{input}{blue!80!black} \colorlet{triangle}{orange}
\def\B{\textcolor{input}{$B$}} \def\D{$D$}
\colorlet{output}{red!70!black}

\coordinate [label=left:\A] (A) at ($ (0,0) + .1*(rand,rand) $); 
\coordinate [label=right:\B] (B) at ($ (1.25,0.25) + .1*(rand,rand) $);
\draw [input] (A) -- (B);
\node [name path=D,help lines,draw,label=left:\D](D) at (A) [circle through=(B)] {};
\node [name path=E,help lines,draw,label=right:\E](E) at (B) [circle through=(A)] {};
\path [name intersections={of=D and E,by={[label=above:\C]C}}];
\draw [output] (A) -- (C) -- (B);
\foreach \point in {A,B,C}{\fill [black,opacity=.5] (\point) circle (2pt);}
\begin{pgfonlayer}{background}
\fill[triangle!80] (A) -- (C) -- (B) -- cycle;
\end{pgfonlayer}

\node [below right, text width=5.2cm,align=justify] at (4,3) 
  { \small\textbf{Proposition I}\\\emph{To construct an 
    \textcolor{triangle}{equilateral triangle} 
  on a given \textcolor{input}{finite straight line}.} \\[1em] Let \A\B\ be the 
  given \textcolor{input}{finite straight line}.
  };
\end{tikzpicture}
\end{frame}
\end{document}