In Greek mythology, Oncius (Ὅγκιος Onkios) or Oncus (Ὅγκος Onkos) was a son of Apollo and a ruler over Oncium (Onkeion), a region of Arcadia adjacent to Thelpusa, as well as eponym of a city Oncae. He owned a herd of horses, in which Demeter tried to hide from Poseidon's advances, changing herself into a mare. Poseidon did mate with her in the shape of a stallion, which resulted in the birth of the fantastic horse Arion. Oncius kept Arion and later gave him away to Heracles as the latter was starting a military campaign against Elis.
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