In italicized environments normal small caps often looks wrong because of its upright shape. A solution is to simply use all-uppercase in these environments, but this too is ugly. Using TikZ one can fake a slant. This is not that great, but better than nothing.
Note that kpfonts for example provides a font which has slanted small caps by default.
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% Author: Berteun Damman
% Faking slanted small caps using TikZ low level transforms.
\documentclass{minimal}
\usepackage{tikz}
\usepackage{amsthm}
\newtheorem{lem}{Lemma}
% If you externalize figures this will give a new figure for
% each usage!
\makeatletter
\newcommand{\textscsl}[1]{%
\tikz[baseline=(N.base)]%
% The transform says:
% x' = 1x + 0.22y + 0pt
% y' = 0x + 1y + 0pt
% This gives a slant - adjust the value for each font!
\pgfsys@transformcm{1}{0}{0.22}{1}{0pt}{0pt}%
\node[inner sep=0pt] (N) {\textsc{#1}};%
}
\makeatother
\begin{document}
% In italicized environments normal small caps often looks wrong because of
% its upright shape. A solution is to simply use all-uppercase in these
% environments, but this too is ugly. Using TikZ one can fake a slant. This
% is not that great, but better than nothing.
%
% Note that http://www.ctan.org/tex-archive/fonts/kpfonts/ for example
% provides a font which has slanted small caps by default.
\begin{minipage}{4.5cm}
\begin{lem}
The \textsc{gcd} of two numbers can be used to find
the \textsc{lcm} of these numbers.
\end{lem}
\begin{lem}
The \textscsl{gcd} of two numbers can be used to find
the \textscsl{lcm} of these numbers.
\end{lem}
\end{minipage}
\end{document}
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