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palestra (n.)

c. 1400, palestre, "ancient Greek gymnasium," from Old French palestre (12c.) and directly from Latin palaestra, from Greek palaistra "gymnasium, public place for exercise under official direction," originally "wrestling school," from palaiein "to wrestle, survive a wrestling match," which is of unknown origin (see discussion in Beekes) + -tra, suffix denoting place. The noun palē "wrestling" is a back-formation from the verb. Palestral "pertaining to wrestling or martial games, athletic" is attested from late 14c. 

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Definitions of palestra from WordNet

palestra (n.)
a public place in ancient Greece or Rome devoted to the training of wrestlers and other athletes;
Synonyms: palaestra
From wordnet.princeton.edu