Electron densities derived from Si III, Ne VII, Mg VIII, Si VIII, and Mg IX
line ratios observed above the limb of a polar coronal hole with the Solar
Ultraviolet Measurements of Emitted Radiation (SUMER) spectrometer on the
Solar and Heliospheric Observatory (SoHO) are presented. The electron densi
ties are consistent with a constant pressure of 1.6 x 10(14) cm(-3) K (log
P-e = 14.2).