Byun (1984) described some important surface seismic characteristics (such as “apparent” velocities) for transversely isotropic media. His theoretical development was based on the elliptical surface fit to the actual wave surface of energy propagation from a point source to describe local properties of the ray. In this note we give more theoretical insight into the apparent axial properties of the surface observations made in Byun's (1984) paper. More comprehensive studies were reported in Helbig (1983) and Hake et al. (1984) for other surface seismic properties of transversely isotropic media.