Enrico Forestieri wrote:
> So, in the end you always get the same font with babel, too.
> I think that it is easy to mimic what babel does without requiring
> to mark as greek the text in LyX.

I'm not sure. There are the new TeXGyre fonts that come with Greek characters. 
I think the babel definition is more clever, it uses whatever is defined as 
the Greek font:

\DeclareRobustCommand{\greektext}{%
  \fontencoding{LGR}\selectfont
  \def\encodingdefault{LGR}}
\DeclareRobustCommand{\textgreek}[1]{\leavevmode{\greektext #1}}

Jürgen

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