βάθρον shortd. from βατήριον βαίνω
that on which anything stands:
1.a base, pedestal, Hdt., Aesch.
2.a stage or scaffold, Hdt.
3.generally solid ground, Σαλαμῖνος β. Soph.; ὦ πατρῶιον ἑστίας βάθρον i. e. house of my father, id=Soph.:—in pl. foundations, Eur.; ἐν βάθροις εἶναι to stand firm, id=Eur.
4.a step, Soph.; the round of a ladder, Eur.
5.a bench, seat, Soph., Dem.