The kinematic structure of remnants produced from major mergers of dis
k progenitors is examined. In particular, we consider moments of the p
rojected velocity held and quantify departures of the line profiles fr
om Gaussianity using a Gauss-Hermite expansion. By averaging over circ
ular apertures, we are able to show that the line profiles exhibit sig
nificant deviations from Gaussianity and, of greater interest, we find
that the high-order moments correlate with viewing angle. This effect
appears to be a natural consequence of the orbital structure of equil
ibrium triaxial systems. The correlations in our models appear suffici
ently tight that it may be possible, in principle, to infer viewing an
gles from observations, provided that the kinematics of the remnants i
n our simulations are representative of those of actual elliptical gal
axies. Observational tests of our scheme are proposed, and possible ap
plications of the technique to the study of intrinsic properties of ga
laxies and clusters are discussed.