"always, ever," c. 1200, from Old Norse ei "ever" (cognate with Old English a "always, ever"), from Proto-Germanic *aiwi-, extended form of PIE root *aiw- "vital force, life; long life, eternity" (source also of Greek aiōn "age, eternity," Latin aevum "space of time").

"pertaining to traditional Hindu science of medicine," 1917, from Sanskrit Ayurveda "science of life," from ayur "life" (from PIE *oyus-, suffixed form of *oyu- "life everlasting," from variant form of root *aiw- "vital force, life; long life, eternity") + veda "knowledge" (see Veda).

type of flowering shrub, 1753, Modern Latin, coined by Linnaeus from the fem. of Greek azaleos "dry," related to azein "to dry up," probably from PIE root *as- "to burn, glow." The plant thrives in sandy soil.

"pertaining to the period of Earth's history before life appeared," 1843, with -ic + Greek azōos, from a- "not, without" (see a- (3)) + zōon "animal," here used in the sense "life," from PIE root *gwei- "to live."

island group in the Atlantic about 800 miles west of Portugal, discovered by the Portuguese in 1492, said to be from Portuguese azor açor "a hawk, goshawk," and called for the abundance of hawks or buzzards there, but this is likely folk-etymology.