The behavior of the isophotes of the E galaxies in a new photometric sample of 33 early-type galaxies belonging to the Virgo cluster (Caon) is compared to that of the S0 galaxies. Almost all objects flatter than b/a = 0.2 are found to exhibit 'pointed' (or 'lemon-shaped') isophotes irrespective of their Hubble class, while almost none do if rounder than the same limit. This observation is used to support the incipient scenario in which a large fraction (about 1/2) of E galaxies - the so-called 'disky ellipticals' - populates one end of a disk-to-bulge sequence including S0 and spiral galaxies.