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\documentclass{article}
\usepackage{graphicx}
\usepackage{fitbox}
\begin{document}
We start from an image at maximal size:
{\centering\fitbox{\includegraphics{vitruvian}}\par}
Now it is resized. Here we allow down to 50\% of scale:
{\centering\fitbox[minheight=0.5\fitboxnatheight,
minwidth=0.5\fitboxnatwidth]{\includegraphics{vitruvian}}\par}
Now we make the figure smaller:
{\centering\fitbox[maxwidth=\fitboxnatwidth,
maxheight=\fitboxnatwidth]{\includegraphics{vitruvian}}\par}
{\centering\fitbox[maxwidth=\fitboxnatwidth,
maxheight=\fitboxnatwidth]{\includegraphics{vitruvian}}\par}
We leave some space, so the full size figure would not fit anymore:
{\centering\fitbox{\includegraphics{vitruvian}}\par}
The figure is now on the next page. Let us leave some space under the
next figure:
{\centering\fitbox[minheight=0.5\fitboxnatheight,
minwidth=0.5\fitboxnatwidth,
belowboxspace=\baselineskip]{\includegraphics{vitruvian}}\par}
We left some space for a caption.
\end{document}
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