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Webster 1913 Edition
Asiarch
A′si-arch
,Noun.
 [L. 
Asiarcha
, Gr. [GREEK]; [GREEK] + [GREEK] ruler.] One of the chiefs or pontiffs of the Roman province of Asia, who had the superintendence of the public games and religious rites. 
Milner.
 Webster 1828 Edition
Asiarch
A'SIARCH
,Noun.
  A chief or pontiff of Asia; one who had the superintendence of the public games. Acts. 19.