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The Collaborative International Dictionary
Ter-

Ter- \Ter-\ A combining form from L. ter signifying three times, thrice. See Tri-, 2.

Douglas Harper's Etymology Dictionary
ter-

word-forming element meaning "thrice, three times," from Latin ter "thrice," from *tris-, from root of three. Compare Latin tertius "third."

Wiktionary
ter-

pre. three