We show that the Einstein ring radius and transverse speed of a lens p
rojected on the source plane, (r) over cap(E) and (v) over cap, can be
determined from the light curve of a binary-source event, followed by
the spectroscopic determination of the orbital elements of the source
stars. The determination makes use of the same principle that allows
one to measure the Einstein ring radii from finite-source effects. For
the case when the orbital period of the source stars is much longer t
han the Einstein timescale, P much greater than t(E), there exists a s
ingle twofold degeneracy in determining <(r)over car>(E). However, whe
n P less than or similar to t(E) the degeneracy can often be broken by
making use of the binary-source system's orbital motion. For similar
to 8% of all lensing events with sources V <20 seen toward the Large M
agellanic Cloud (LMC), one can unambiguosly determine whether the lens
es are Galactic or whether they lie in the LMC itself. In addition, we
propose to include eclipsing binaries as sources for gravitational le
nsing experiments.