We present 84 spectra of Type Ib/c and Type IIb supernovae (SNe), describin
g the individual SNe in detail. The relative depths of the helium absorptio
n lines in the spectra of the SNe Ib appear to provide a measurement of the
temporal evolution of the SN, with He I lambda 5876 and He I lambda 7065 g
rowing in strength relative to He I lambda 6678 over time. Light curves for
three of the SNe Ib provide a sequence for correlating the helium line str
engths. We find that some SNe Ic show evidence for weak helium absorption,
but most do not. Aside from the presence or absence of the helium lines, th
ere are other spectroscopic differences between SNe Ib and SNe Ic. On avera
ge, the O I lambda 7774 line is stronger in SNe Ic than in SNe Ib. In addit
ion, the SNe Ic have distinctly broader emission lines at late times, indic
ating a consistently larger explosion energy and/or lower envelope mass for
SNe Ic than for SNe Ib. While SNe Ib appear to be basically homogeneous, t
he SNe Ic are quite heterogeneous in their spectroscopic characteristics. T
hree SNe Ic that may have been associated with gamma-ray bursts are also di
scussed; two of these have clearly peculiar spectra, while the third seems
fairly typical.