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How do I place figures side by side?

Use the minipage environment. Here's some example syntax: 
\begin{figure}[hbp]  
\begin{minipage}[b]{0.5\linewidth} % A minipage that covers half the page, width-wise  
\centering \psfig{file=file1.eps,width=3in,height=3in}  
\caption{First stupendous result}  
\end{minipage}  
\mbox{\hspace{0.5cm}} % To get a little bit of space between the figures  
\begin{minipage}[b]{0.5\linewidth}  
\centering \psfig{file=file2.eps,width=3in,height=3in}  
\caption{Second stupendous result}  
\end{minipage} 
\end{figure}



Chris Paciorek 2012-01-21