英语词源字典 - 在线词源网站

chase (v.)[chase 词源字典]: c. 1300, chacen "to hunt; to cause to go away; put to flight," from Old French chacier "to hunt, ride swiftly, strive for" (12c., Modern French chasser), from Vulgar Latin *captiare (source of Italian cacciare, Catalan casar, Spanish cazar, Portuguese caçar "to chase, hunt;" see catch (v.)).

Meaning "run after" developed mid-14c. Related: Chased; chasing. Older European words for "pursue" often also cover "persecute" (Greek dioko, Old English ehtan); modern ones often derive from words used primarily for the hunting of animals.[chase etymology, chase origin, 英语词源]
promenade (n.): 1560s, "leisurely walk," from Middle French promenade (16c.), from se promener "go for a walk," from Late Latin prominare "to drive (animals) onward," from pro- "forth" (see pro-) + minare "to drive (animals) with shouts," from minari "to threaten" (see menace (n.)).

Meaning "place for walking" is 1640s; specifically "walkway by the sea" late 18c.; British sense of "music hall favored by 'loose women and the simpletons who run after them'" is attested from 1863. Sense of "dance given by a school" is from 1887.
purchase (v.): c. 1300, "acquire, obtain; get, receive; procure, provide," also "accomplish or bring about; instigate; cause, contrive, plot; recruit, hire," from Anglo-French purchaser "go after," Old French porchacier "search for, procure; purchase; aim at, strive for, pursue eagerly" (11c., Modern French pourchasser), from pur- "forth" (possibly used here as an intensive prefix; see pur-) + Old French chacier "run after, to hunt, chase" (see chase (v.)).

Originally to obtain or receive as due in any way, including through merit or suffering; specific sense of "acquire for money, pay money for, buy" is from mid-14c., though the word continued to be used for "to get by conquest in war, obtain as booty" up to 17c. Related: Purchased; purchasing.