axis n.

"not in the axis," 1847, from Latin ab "away from" (see ab-) + axile "of or belonging to an axis," from axis.

late 14c., ele, "lateral division of a church" (usually separated from the nave or transept by a row of pillars), from Old French ele "wing (of a bird or an army), side of a ship" (12c., Modern French aile), from Latin ala, related to or contracted from axilla "wing, upper arm, armpit; wing of an army," from PIE *aks-la-, suffixed form of root *aks- "axis" (see axis). The notion is of "turning," which also connects it with axle.

It was confused from 15c. with unrelated Middle English ile "island" (perhaps from notion of a "detached" part of a church), and so it took an unetymological -s- c. 1700 when isle did; by 1750 it had acquired an a-, on the model of French cognate aile. English aisle perhaps also was confused with alley, which helped give it the sense of "passage between rows of pews or seats" (1731), which subsequently was extended to railway cars, theaters, Congress, etc.