  We report the first observation of two wobbling bands in $^{183}$Au, both of
which were interpreted as the transverse wobbling (TW) band but with different
behavior of their wobbling energies as a function of spin. It increases
(decreases) with spin for the positive (negative) parity configuration. The
crucial evidence for the wobbling nature of the bands, dominance of the $E2$
component in the $\Delta I = 1$ transitions between the partner bands, is
provided by the simultaneous measurements of directional correlation from the
oriented states (DCO) ratio and the linear polarization of the $\gamma$ rays.
Particle rotor model calculations with triaxial deformation reproduce the
experimental data well. A value of spin, $I_m$, has been determined for the
observed TW bands below which the wobbling energy increases and above which it
decreases with spin. The nucleus $^{183}$Au is, so far, the only nucleus in
which both the increasing and the decreasing parts are observed and thus gives
the experimental evidence of the complete transverse wobbling phenomenon.
