  We propose to search for MACHOs by observing EAGLE (Extremely Amplified
Gravitational LEnsing) events of a majority of dim stars. This search is
independent of the usual one. For the detection limit of EAGLE (about 20 mag),
about 100 f (\tau^{LMC} / 3 \times 10^{-7}) (100 days / <t>) EAGLE events/y are
expected to result from all the dim stars in LMC. Here \tau^{LMC} and <t> are
the optical depth and the average duration of microlensing events,
respectively, while f (0 < f < 1) is a parameter depending on the unknown
stellar luminosity function. The observed mean duration of EAGLE events also
depends on the luminosity function and is (0.01 - 0.4) times the usual duration
of microlensing events, which corresponds to (1 - 30) days. The follow-up
observation using larger telescopes may enable us to determine the impact
parameter and the true duration of the event. If f is determined by another
independent method, we can also determine \tau^{LMC}. Even if f is
undetermined, the detection of EAGLE events strongly suggest that MACHOs are
not due to variable source stars, since EAGLE events are due to the dim
main-sequence stars. Although for the SMC, the event rate is smaller by a
factor of about 7, it is still a substantial number (about 13 f (\tau^{SMC} / 3
\times 10^{-7} (100 days / <t>) events/y).
