STUDIES of the kinematics of spiral galaxies suggest that dark (possib
ly non-baryonic) matter is a significant component of their total mass
(1). It has been difficult to determine how far the dark-matter haloes
of galaxies extend, however, because the presence of dark matter must
be inferred from the motion of a luminous component such as atomic ga
s, which becomes hard to detect beyond several galactic radii. The rec
ent suggestion(2) that the Lyman-a absorption lines seen in the spectr
a of distant quasars arise in the extended gaseous haloes of interveni
ng galaxies offers an alternative means of probing their dark-matter c
ontent. Here we present observations of two low-luminosity spiral gala
xies which have redshifts coincident with those of Lyman-a absorption
lines in the spectra of quasars that are near the galaxies in the sky.
The gas responsible for the absorption lines appears to take part in
the rotation of the galaxies themselves, suggesting that the haloes of
both galaxies are dominated by dark matter which remains a significan
t component of the haloes out to significantly greater radii than prev
iously demonstrated.