  We study the spectral measure of large Euclidean random matrices. The entries
of these matrices are determined by the relative position of $n$ random points
in a compact set $\Omega_n$ of $\R^d$. Under various assumptions we establish
the almost sure convergence of the limiting spectral measure as the number of
points goes to infinity. The moments of the limiting distribution are computed,
and we prove that the limit of this limiting distribution as the density of
points goes to infinity has a nice expression. We apply our results to the
adjacency matrix of the geometric graph.
