  Motivated by the indication that both the atmospheric and the solar neutrino
puzzles may simultaneously be solved by (vacuum as well as matter-induced
resonant) oscillations of two generations of neutrinos with large mixing, we
have analyzed the data on the atmospheric and solar neutrinos assuming that all
{\it three} neutrinos are maximally mixed. It is shown that the values of $
\Delta m^2 $ obtained from the two-generation analyses are still valid even in
the three-generation scheme, i.e. the two puzzles can be solved simultaneously
if $ \Delta m_{31}^2 \simeq 10^{-2} \, \mathrm{eV}^2 $ for the atmospheric
neutrinos and $ \Delta m_{21}^2 \simeq 10^{-10} \, \mathrm{eV}^2 $ for solar
neutrinos in the maximally mixed three-generation scheme.
