We present results on the onset of convective behavior of He-3 along the cr
itical isochore where the fluid compressibility diverges as T --> T-c, the
critical temperature. The aspect ratio of the Rayleigh-Benard cell was 57.
The "adiabatic temperature gradient" that stabilizes the fluid layer was ob
served and agreed with predictions. This is the first systematic study of t
he convection onset in the compressibility-dominated stability regime. The
initial slope of the convection current versus the reduced Rayleigh number
was found to be independent of compressibility and to be the same as in exp
eriments with a similar aspect ratio in liquid He-3, He-4, and water. [S003
1-9007(99)09283-2].