An analysis is made of the distribution with Galactic latitude of cosm
ic rays of energy above 4 x 10(19) eV from the standpoint of determini
ng whether they are of Galactic or Extragalactic origin. Although it i
s commonly argued that these particles are obviously extragalactic in
origin, because of the near isotropy of arrival directions, in fact th
is could be accommodated by assuming a Galactic origin and a compositi
on of heavy nuclei. However, using new calculations of panicle traject
ories for a variety of field models we argue that the measured latitud
e distribution is inconsistent with this hypothesis, whatever the char
ge or (reasonable) magnetic field and source distribution. Thus, these
particles are indeed mainly extragalactic and are, presumably, mainly
protons, although, as is pointed out, there are some problems even wi
th this hypothesis.