magic (n.)youdaoicibaDictYouDict
late 14c., "art of influencing events and producing marvels using hidden natural forces," from Old French magique "magic, magical," from Late Latin magice "sorcery, magic," from Greek magike (presumably with tekhne "art"), fem. of magikos "magical," from magos "one of the members of the learned and priestly class," from Old Persian magush, possibly from PIE *magh- (1) "to be able, to have power" (see machine). Transferred sense of "legerdemain, optical illusion, etc." is from 1811. Displaced Old English wiccecræft (see witch); also drycræft, from dry "magician," from Irish drui "priest, magician" (see druid).
mirage (n.)youdaoicibaDictYouDict
"optical illusion of water in sandy deserts," 1812, from French mirage (1753), from se mirer "to be reflected," from Latin mirare (see mirror (n.)). Or the French word is from Latin mirus "wonderful" (see miracle). Similarity to Arabic mi'raj has been noted, but the usual sense of that word is "ladder, stairs; climb, ascent," and the resemblance appears to be coincidental. The standard Arabic for "a desert mirage" is sarāb.