forehand (adj.)youdaoicibaDictYouDict[forehand 词源字典]
1879 in reference to a tennis stroke; 1909 as a noun in this sense; from fore- + hand (n.). Earlier it meant "position in front or above" (1550s); hence forehanded "prudent, careful of the future" (1640s), which came to mean "well-provided, well-to-do," a sense which lingered in New England into 19c.[forehand etymology, forehand origin, 英语词源]
public (adj.)youdaoicibaDictYouDict
late 14c., "open to general observation," from Old French public (c. 1300) and directly from Latin publicus "of the people; of the state; done for the state," also "common, general, public; ordinary, vulgar," and as a noun, "a commonwealth; public property," altered (probably by influence of Latin pubes "adult population, adult") from Old Latin poplicus "pertaining to the people," from populus "people" (see people (n.)).

Early 15c. as "pertaining to the people." From late 15c. as "pertaining to public affairs;" meaning "open to all in the community" is from 1540s in English. An Old English adjective in this sense was folclic. Public relations first recorded 1913 (after an isolated use by Thomas Jefferson in 1807). Public office "position held by a public official" is from 1821; public service is from 1570s; public interest from 1670s. Public-spirited is from 1670s. Public enemy is attested from 1756. Public sector attested from 1949. Public funds (1713) are the funded debts of a government.

Public school is from 1570s, originally, in Britain, a grammar school endowed for the benefit of the public, but most have evolved into boarding-schools for the well-to-do. The main modern meaning in U.S., "school (usually free) provided at public expense and run by local authorities," is attested from 1640s. For public house, see pub.
well (adv.)youdaoicibaDictYouDict
"in a satisfactory manner," Old English wel "abundantly, very, very much; indeed, to be sure; with good reason; nearly, for the most part," from Proto-Germanic *welo- (cognates: Old Saxon wela, Old Norse vel, Old Frisian wel, Dutch wel, Old High German wela, German wohl, Gothic waila "well"), from PIE root *wel- (2) "to wish, will" (cognates: Sanskrit prati varam "at will," Old Church Slavonic vole "well," Welsh gwell "better," Latin velle "to wish, will," Old English willan "to wish;" see will (v.)).

Also used in Old English as an interjection and an expression of surprise. The adjective was in Old English in the sense "in good fortune, happy," from the adverb; sense of "satisfactory" is from late 14c.; "agreeable to wish or desire" is from mid-15c.; "in good health, not ailing" is from 1550s. Well-to-do "prosperous" is recorded from 1825.