Moderate-resolution, near-IR spectroscopy of MS 1512-cB58 is presented, obt
ained during commissioning of the near-infrared spectrometer (NIRSPEC) on t
he Reck II telescope. The strong lensing of this z = 2.72 galaxy by the for
eground cluster MS 1512+36 makes it the best candidate for detailed study o
f the rest-frame optical properties of Lyman-break galaxies. In 80 minutes
of on-source integration, we have detected H alpha, [N II] lambda lambda 65
83, 6548, [O I] lambda 6300, He I lambda 5876, [O III] lambda lambda 5007,
4959, H beta, H gamma, [O II] lambda 3727, and a strong continuum signal in
the range of 1.29-2.46 mu m. A redshift of z = 2.7290 +/- 0.0007 is inferr
ed from the emission lines, in contrast to the z = 2.7233 calculated from U
V observations of interstellar absorption lines. Using the Balmer line rati
os, we find an extinction of E(B-V) = 0.27. Using the line strengths? we in
fer a star formation rate (SFR) of 620 +/- 18 M. yr(-1) (H-0 = 75, q(0) = 0
.1, and Lambda = 0), which is a factor of 2 higher than that measured from
narrowband imaging observations of the galaxy but is a factor of almost 4 l
ower than the SFR inferred from the UV continuum luminosity. The width of t
he Balmer lines yields a mass of M-vir = 1.2 x 10(10) M.. We find that the
oxygen abundance is 1/3 solar, in good agreement with other estimates of th
e metallicity. However, we infer a high nitrogen abundance, which may argue
for the presence of an older stellar population.