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fail [fail 词源字典]: fail: [13] Fail, fallacy [15], fallible, false, and fault all come ultimately from the same source – the Latin verb fallere. This originally meant ‘deceive’, but it developed semantically to ‘deceive someone’s hopes, disappoint someone’, and in its Vulgar Latin descendant *fallīre this meaning had progressed to ‘be defective, fail’. English acquired the word via Old French faillir. Its Anglo-Norman form, failer, came to be used as a noun, and is the source of English failure [17].
=> faliacy, fallible, false, fault[fail etymology, fail origin, 英语词源]
false: false: [OE] False appears originally to have been borrowed directly from Latin falsus at the end of the 10th century, but without making much of an impression. It was only in the 12th century that it began being used with any frequency, probably as the result of an extra impetus given by reborrowing it via Old French fals. The word’s ultimate source was the Latin verb fallere ‘deceive’, from which English also gets fail, fallacy, fallible, and fault.
=> fail, fallacy, fallible, fault
fault: fault: [13] Like fail, fallacy, fallible, and false, fault comes ultimately from Latin fallere ‘deceive, fail’. Its past participle formed the basis of a Vulgar Latin noun *fallita ‘failing, falling short’, which passed into English via Old French faute in the sense ‘lack, deficiency’. The notion of ‘moral culpability’ does not seem to have become incorporated into the word until the late 14th century.
=> fail, fallacy, fallible, false
default (n.): early 13c., "offense, crime, sin," later (late 13c.) "failure, failure to act," from Old French defaute (12c.) "fault, defect, failure, culpability, lack, privation," from Vulgar Latin *defallita "a deficiency or failure," past participle of *defallere, from Latin de- "away" (see de-) + fallere "to deceive, to cheat; to put wrong, to lead astray, cause to be mistaken; to escape notice of, be concealed from" (see fail (v.)). The financial sense is first recorded 1858; the computing sense is from 1966.
fail (v.): c. 1200, "be unsuccessful in accomplishing a purpose;" also "cease to exist or to function, come to an end;" early 13c. as "fail in expectation or performance," from Old French falir "be lacking, miss, not succeed; run out, come to an end; err, make a mistake; be dying; let down, disappoint" (11c., Modern French faillir), from Vulgar Latin *fallire, from Latin fallere "to trip, cause to fall;" figuratively "to deceive, trick, dupe, cheat, elude; fail, be lacking or defective." Related: Failed; failing.

Replaced Old English abreoðan. From c. 1200 as "be unsuccessful in accomplishing a purpose;" also "cease to exist or to function, come to an end;" early 13c. as "fail in expectation or performance." From mid-13c. of food, goods, etc., "to run short in supply, be used up;" from c. 1300 of crops, seeds, land. From c. 1300 of strength, spirits, courage, etc., "suffer loss of vigor; grow feeble;" from mid-14c. of persons. From late 14c. of material objects, "break down, go to pieces."
fallacy (n.): late 15c., "deception, false statement," from Latin fallacia "deception, deceit, trick, artifice," noun of quality from fallax (genitive fallacis) "deceptive," from fallere "deceive" (see fail (v.)). Specific sense in logic, "false syllogism, invalid argumentation," dates from 1550s. An earlier form was fallace (c. 1300), from Old French fallace.
fallible (adj.): early 15c., from Medieval Latin fallibilis "liable to err, deceitful," literally "that can be deceived," from Latin fallere "deceive" (see fail (v.)).
false (adj.): late Old English, "intentionally untrue, lying," of religion, "not of the true faith, not in accord with Christian doctrines," from Old French fals, faus "false, fake; incorrect, mistaken; treacherous, deceitful" (12c., Modern French faux), from Latin falsus "deceptive, feigned, deceitful, pretend," also "deceived, erroneous, mistaken," past participle of fallere "deceive, disappoint," which is of uncertain origin (see fail (v.)).

Adopted into other Germanic languages (cognates: German falsch, Dutch valsch, Old Frisian falsk, Danish falsk), though English is the only one in which the active sense of "deceitful" (a secondary sense in Latin) has predominated. From c. 1200 as "deceitful, disloyal, treacherous; not genuine;" from early 14c. as "contrary to fact or reason, erroneous, wrong." False alarm recorded from 1570s. False step (1700) translates French faux pas. To bear false witness is attested from mid-13c.
fault (n.): late 13c., faute, "deficiency," from Old French faute, earlier falte, "opening, gap; failure, flaw, blemish; lack, deficiency" (12c.), from Vulgar Latin *fallita "a shortcoming, falling," from Latin falsus "deceptive, feigned, spurious," past participle of fallere "deceive, disappoint" (see fail (v.)).

The -l- was restored 16c., probably in imitation of Latin, but the letter was silent until 18c. Sense of "physical defect" is from early 14c.; that of "moral culpability" (milder than sin or vice, but more serious than an error) is first recorded late 14c. Geological sense is from 1796. The use in tennis (c. 1600) is closer to the etymological sense.