  Using divisors, an analog of the Jacobian for a compact connected
nonorientable Klein surface $Y$ is constructed. The Jacobian is identified with
the dual of the space of all harmonic real one-forms on $Y$ quotiented by the
torsion-free part of the first integral homology of $Y$. Denote by $X$ the
double cover of $Y$ given by orientation. The Jacobian of $Y$ is identified
with the space of all degree zero holomorphic line bundles $L$ over $X$ with
the property that $L$ is isomorphic to $\sigma^*\bar{L}$, where $\sigma$ is the
involution of $X$.
