One of the torus characteristics of most interest for understanding torus energization is its electron temperature Te. Yet deriving Te has always been difficult because the measured quantity (emission brightness) is controlled jointly by Te and other unknowns, such as ion and electron density. In order to solve this problem, we have used a new technique to estimate Te from spectral images of the Io plasma torus in the 350 to 700 ¿ region obtained by the Extreme Ultraviolet Explorer (EUVE). Because of the lack of information available on the collision strengths of important lines between 350 and 600 ¿, we have simultaneously attempted to constrain the unknown collision strengths and also to deduce the time-varying torus characteristics by fitting analytic models which exploit the both the commonalities and the variations among the observations. However, because of present limitations of the data set, we can only deduce relative variations in torus Te, total electron number Ne (a proxy for total torus mass), and ionic composition. In the 1993--1995 data set, Te and Ne were anticorrelated, while total torus luminosity remained steadier than either Te or Ne. One interpretation of the anticorrelation of Ne and Te is that torus luminosity may be primarily determined by a relatively constant power-limited energy supply, so that as Ne increases (decreases), Te sags (surges) in response. This anticorrelation is a constraint on theories of torus energization and transport. There also seems to have been an abrupt 20% decrease in Ne at about the time of the comet Shoemaker-Levy 9 impacts on Jupiter, as though a magnetospheric disturbance had increased the convective loss rate of the torus, but this may well be a coincidence. ¿ 1998 American Geophysical Union