1640s, "of the same order, belonging to the same rank or degree," from Medieval Latin coordinatus, past participle of coordinare "to set in order, arrange," from assimilated form of com "with, together" (see com-) + ordinatio "arrangement," from ordo "row, rank, series, arrangement" (see order (n.)). Meaning "involving coordination" is from 1769. Related: Coordinance.
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Harper, D. (n.d.). Etymology of co-ordinate. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/co-ordinate