Etymology
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Words related to feast

*dhes- 
*dhēs-, Proto-Indo-European root forming words for religious concepts. Possibly an extension of PIE root *dhe- "to set, put."

It forms all or part of: apotheosis; atheism; atheous; Dorothy; enthusiasm; fair (n.) "a stated market in a town or city;" fanatic; ferial; feast; fedora; -fest; festal; festival; festive; festoon; Festus; fete; fiesta; henotheism; monotheism; pantheism; pantheon; polytheism; profane; profanity; Thea; -theism; theist; theo-; theocracy; theodicy; Theodore; Theodosia; theogony; theology; theophany; Theophilus; theosophy; theurgy; tiffany; Timothy.

It is the hypothetical source of/evidence for its existence is provided by: Greek theos "god;" Latin feriae "holidays," festus "festive," fanum "temple."
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fair (n.)
"a stated market in a town or city; a regular meeting to buy, sell, or trade," early 14c., from Anglo-French feyre (late 13c.), from Old French feire, faire "fair, market; feast day," from Vulgar Latin *feria "holiday, market fair," from Latin feriae "religious festivals, holidays," related to festus "solemn, festive, joyous" (see feast (n.)).
fanatic (n.)

1520s, "insane person," from Latin fanaticus "mad, enthusiastic, inspired by a god," also "furious, mad," originally, "pertaining to a temple," from fanum "temple, shrine, consecrated place," related to festus "festive" (see feast (n.)). Meaning "zealous person, person affected by enthusiasm" is from 1640s. As an adjective, in English, 1530s, "furious;" meaning "characterized by excessive enthusiasm," especially in religion (of Nonconformists), is from 1640s.

A fanatic is someone who can't change his mind and won't change the subject. [attributed to Winston Churchill]
ferial (adj.)
"pertaining to holidays," late 14c., from Old French ferial or directly from Medieval Latin ferialis, from Latin feriae "holidays," during which work and business were suspended and devotions were made (see feast (n.)).
-fest 
word-forming element in colloquial compounds (hen-fest, gabfest, etc.), from 1889, American English, borrowed from German Fest "festival," abstracted from Volksfest, etc., from Middle High German vëst, from Latin festum "festival or holiday," neuter of festus "of a feast" (see feast (n.)).
festal (adj.)
late 15c., from Old French festal, from Late Latin festalis, from Latin festum "feast" (see feast (n.)).
festival (n.)
1580s, "a festal day, appointed day of festive celebration," short for festival day (late 14c.), from Old French festival (adj.) "suitable for a feast; solemn, magnificent, joyful, happy," and directly from Medieval Latin festivalis "of a church holiday," from festum "festival, holiday," neuter of festus "of a feast" (see feast (n.)). The English word returned to French 19c. in certain specialized senses.
festive (adj.)

1650s, "pertaining to a feast," from Latin festivus "festive, joyous, gay," from festum "festival, holiday," noun use of neuter of adjective festus "joyful, merry" (see feast (n.)). The word is unattested in English from 1651 to 1735 (it reappears in a poem by William Somervile, with the sense "fond of feasting, jovial"), and the modern use may be a back-formation from festivity. Meaning "mirthful, joyous" in English is attested by 1774. Related: Festively; festiveness.

When the Day crown'd with rural, chaste Delight
Resigns obsequious to the festive Night;
The festive Night awakes th' harmonious Lay,
And in sweet Verse recounts the Triumphs of the Day.
[Somervile, "The Chace"]

Earlier adjectives in English based on the Latin word were festival "pertaining to a church feast" (late 14c.); festful "joyous" (early 15c.), festial "pertaining to a church feast" (early 15c.), festli "fond of festivity" (late 14c.).

festivity (n.)
"festive celebration, feast," late 14c., from Old French festiveté "celebration, festiveness, festival," from Latin festivitatem (nominative festivitas) "good fellowship, generosity," from festivus "festive," from festum "festival or holiday," neuter of festus "of a feast" (see feast (n.)). Related: Festivities.
festoon (n.)
"string or chain of flowers, ribbon, or other material suspended between two points," 1620s, from French feston (16c.), from Italian festone, literally "a festive ornament," apparently from festa "celebration, feast," from Vulgar Latin *festa (see feast (n.)). The verb is attested from 1789. Related: Festooned.