We present the first detection of parallax effects in a gravitational
microlensing event. Parallax in a gravitational microlensing event observed
only from the Earth appears as a distortion of the lightcurve due to the motion
of the Earth around the Sun. This distortion can be detected if the event
duration is not much less than a year and if the projected velocity of the lens
is not much larger than the orbital velocity of the Earth about the Sun. The
event presented here has a duration of 220 days and clearly shows the
distortion due to the Earth's motion. We find that the projected velocity of
the lens is 75+/-5 km/s at an angle of 28+/-4 deg from the direction of
increasing galactic longitude, as expected for a lens in the galactic disk.
A likelihood analysis yields estimates of the distance to and mass of the
lens: D_{lens} = 1.7 (+1.1/-0.7) kpc and M = 1.3 (+1.3/-0.6) Msun, suggesting
that the lens is a remnant such as a white dwarf or neutron star. A less likely
possibility is that the lens is a main sequence star. If so, we can add our
upper limit on the observed flux from the lens to the analysis. This modifies
the estimates to: D_{lens} = 2.8 (+1.1/-0.6) kpc, and M = 0.6 (+0.4/-0.2) Msun.Comment: 11 pages, 3 figs in uuencoded, compressed, tared postscript file