We present the second catalog of extreme-ultraviolet objects detected
by the Extreme-Ultraviolet Explorer. The data include(1) all-sky surve
y detections from the initial 6 month scanner-survey phase, (2)additio
nal scanner detections made subsequently during specially programmed o
bservations designed to fill in low-exposure sky areas of the initial
survey, (3) sources detected with deep-survey-telescope observations a
long the ecliptic, (4) objects detected by the scanner telescopes duri
ng targeted spectroscopy observations, and (5) other observations. We
adopt an innovative source detection method that separates the usual l
ikelihood function into two parts: an intensity diagnostic and a profi
le diagnostic. These diagnostics allow each candidate detection to be
tested separately for both signal-to-noise ratio and conformance with
the known instrumental point-spread function. We discuss the dependenc
e of the false-alarm rate and the survey's completeness on the survey'
s sensitivity threshold. We provide three lists of the EUV sources det
ected: the all-sky survey detections, the deep-survey detections, and
sources detected during other phases of the mission. Each list gives p
ositions and intensities in each wave band. The total number of object
s listed is 734. For approximately 65% of these we also provide plausi
ble optical, UV, radio, and/or X-ray identifications.