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n. pl. se·di·lia (-dĭl′yə, -dĭl′ē-ə)
One of a set of seats provided in a church for the use of the presiding clergy, usually three in number and located on the liturgical south side of the chancel, often in a niche built into the wall.
(Ecclesiastical Terms) (functioning as singular) the group of three seats, each called a sedile (sɛˈdaɪlɪ) or sedilium (sɛˈdaɪlɪəm), often recessed, on the south side of a sanctuary where the celebrant and ministers sit at certain points during High Mass
[C18: from Latin, from sedīle a chair, from sedēre to sit]