The first successful spectrum of a galaxy, M31, was obtained in 1898 a
nd published in a two-page paper in the young Astrophysical Journal (S
cheiner 1899). Thus the first century of galaxy spectroscopy and the f
irst century of the Astrophysical Journal are almost coincident; I cel
ebrate both in this paper. I describe the very early history of the de
termination of internal kinematics in spiral galaxies, often by quotin
g the astronomers' own published words. By mid-century, observations w
ith improved optical and radio telescopes offered evidence that much o
f the matter in a galaxy is dark. As the century ends, research intere
sts have enlarged to include study of spheroidal and disk galaxies wit
h complex nuclear (and other) kinematics. These complicated velocity p
atterns are understood as the result of interactions, acquisitions, an
d mergers, and offer clear evidence of the important role of gravitati
onal effects in galaxy evolution.