Three Dots in Center Page

I think you don't you need a machinery like TikZ for that:

\documentclass{article}%
\usepackage{lipsum} 
\newcommand{\threestars}{\begin{center}$ {\ast}\,{\ast}\,{\ast} $\end{center}}

\newcommand{\varthreestars}{\begin{center}\begin{tabular}{c}$\ast$\\[-0.8ex] $\ast\enspace \ast $\end{tabular}\end{center}}

\begin{document}

 \lipsum[1]
 \threestars
 \lipsum[2]
 \varthreestars
 \lipsum[3]

\end{document}

TikZ may help in this case.

\documentclass[12pt]{article}
\usepackage[margin=3cm]{geometry}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\usepackage{lipsum}
\begin{document}
\lipsum[1-1]
\vspace*{2mm}

\noindent\begin{tikzpicture}
\pgfmathsetmacro{\a}{\textwidth/2} 
\path (0,0); % move pen to (0,0) left most of the text
\path (\a pt,0) node[scale=5,blue]{$\cdots$};
\end{tikzpicture}
\vspace*{2mm}

\lipsum[1-1]
\vspace*{5mm}

\noindent\begin{tikzpicture}
\pgfmathsetmacro{\a}{\textwidth/2} 
\path (0,0); % move pen to (0,0) left most of the text
\path[every node/.style={star,draw,fill=magenta,star point ratio=2.5,scale=.5}] 
(\a pt,0) node{}--+(0:1) node{}--+(180:1) node{};
\end{tikzpicture}
\vspace*{5mm}

\lipsum[1-1]
\end{document}