Definition of "ajax"

In the bar we would stand with our sisters, varda (look at) the bona cartes (male genitals) on the butch homme (man, pronounced o-me) ajax (nearby), who, if we fluttered our ogle riahs (eye lashes) at him sweetly, might just troll over to offer a light for the unlit vogue (cigarette) clenched between out teeth. [The explanations in round brackets are by Peter Burton]

1985, Peter Burton, Parallel Lives, page 38

Oh, vada well that omee-palone ajax who just trolled in[.]

2004, Paul Baker, Fanatabulosa: A Dictionary of Polari and Gay Slang, page 1

[O]oh[,] will just vada that filiomi ajax[.]

2006, Matt Houlbrook, Queer London: Perils and Pleasures in the Sexual Metropolis, 1918-1957, page 152

I say this much of this action, that it is requisite we should remit the same unto certaine prescribed night-houres, and by custome (as I have done) force and subject our selves unto it; But not (as I have done), growing in yeeres, strictly tie himselfe to the care of a particular convenient place, and of a commodious Ajax or easie close-stoole for that purpose, and make it troublesome with long sitting and nice observation.

1603, Michel de Montaigne, translated by John Florio, Essays, III.13