We have found that the white dwarf PG 1101 + 364 is a double-lined whi
te dwarf/white dwarf binary with an orbital period of 3.47 h. PG 1101
+ 364 is the shortest period detached double-degenerate yet found, and
gravitational radiation will cause it to merge in 2.5 x 10(9) yr. PG
1101 + 364 has a mass ratio of 0.87 +/- 0.03. From the relative streng
ths of the narrow core of H alpha, the lighter and therefore larger st
ar appears to contribute more of the light by an amount that indicates
almost equal temperatures for the two stars. We chose to observe PG 1
101 + 364 on the basis of its low spectroscopic mass (0.31 M.), and th
e discovery of its binary nature confirms the belief that binary evolu
tion is required to produce such low-mass white dwarfs. The radial vel
ocity semi-amplitudes (69.7 +/- 1.7 and 80.3 +/- 1.6 km s(-1)) and the
spectroscopic mass show that we see the orbit of PG 1101 + 364 at a l
ow inclination of approximate to 25 degrees.