We use the angular power spectrum of the cosmic microwave background, measu
red during the North American test flight of the Boomerang experiment, to c
onstrain the geometry of the universe. Within the class of cold dark matter
models, we find that the overall fractional energy density of the universe
Omega is constrained to be 0.85 less than or equal to Omega less than or e
qual to 1.25 at the 68% confidence level. Combined with the COBE measuremen
t, the data on degree scales from the Microwave Anisotropy Telescope in Chi
le, and the high-redshift supernovae data, we obtain new constraints on the
fractional matter density and the cosmological constant.