Here's a comparison of the kappa in some freely available Greek fonts in TeX Live:
\documentclass{article}
\usepackage[LGR,T1]{fontenc}
\newcommand{\test}[1]{%
#1: {\fontencoding{LGR}\fontfamily{#1}\selectfont κ}%
}
\begin{document}
\test{cmr}
\test{artemisia}
\test{gfsbaskerville}
\test{bodoni}
\test{complutum}
\test{udidot}
\test{neohellenic}
\test{porson}
\test{solomos}
\end{document}
Note that the same letter is rendered differently in different fonts: it's just a question of taste and design. There is no “official” shape of the glyph kappa that realizes in print the character kappa.
Unicode has the code point U+03F0 for GREEK KAPPA SYMBOL; it has similar code points for beta, epsilon, sigma, phi, pi, rho, theta. However it would be wrong to use U+03F0 for the letter (U+03BA).
Suppose you decide for Artemisia; you can do
\documentclass[a4paper]{book}
\usepackage[greek,brazilian]{babel}
%\usepackage[utf8]{inputenc} % no longer needed
\usepackage{textgreek}
\DeclareFontFamilySubstitution{LGR}{\rmdefault}{artemisia}
\begin{document}
\textgreek{fusik'h}
\end{document}
Note that utf8x
is not really recommended and even utf8
is no longer needed; also, you shouldn't load both portugues
and brazilian
.
The output would be
Oh, well! GFS Artemisia has a quite peculiar realization of the glyph eta!
However, the list is up there, decide by yourself.
textgreek
. If you don't like it you need another font.Open sans
might be a solution.\usepackage[utf8x]{inputenc}