παιδαγωγεῖον

τό
A. room in a school-house in which the παιδαγωγοί waited for their boys, D. 18.258, IG 11(2).199 A 112 (Delos, iii B. C.).
2. later, school, Plu. Pomp. 6, Them. Or. 21.258b.
Liddell, Scott & Jones
A Greek-English Lexicon, 1940
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