We have measured the cosmic ray spectrum at energies above 1017 eV using
the two air fluorescence detectors of the High Resolution Fly's Eye experiment
operating in monocular mode. We describe the detector, PMT and atmospheric
calibrations, and the analysis techniques for the two detectors. We fit the
spectrum to models describing galactic and extragalactic sources. Our measured
spectrum gives an observation of a feature known as the ``ankle'' near 3×1018 eV, and strong evidence for a suppression near 6×1019 eV.Comment: 14 pages, 9 figures. To appear in Physics Letters B. Accepted versio