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English gymnasium
Ancient Greek γυμνάσιον (derived)
Ancient Greek γυμνός (mention)
Proto-Indo-European *negʷ- (root)
Latin gymnasium (borrowed)

English -um (link)
English gymkhana (mention)
English gymnasial (suffix)
English gymnatorium (blend)
English trimnasium (blend)
Indonesian gimnasium (semantic loan)
Ido gimnazio (borrowed)
Japanese ジム (mention)
Japanese ジムナジウム (borrowed)
Malay gimnasium (borrowed)
Portuguese gincana (mention)
Swedish gym (mention)