mausoleum at Agra, India, built by Shah Jahan for his favorite wife, from Persian, perhaps "the best of buildings," with second element, mahal, from Urdu mahall "private apartments; summer house or palace," from Arabic halla "to lodge." But some authorities hold that the name of the mausoleum is a corruption of the name of the woman interred in it, Mumtaz (in Persian, literally "chosen one") Mahal, who died in 1631. Persian taj is literally "crown, diadem, ornamental headdress," but here denoting an object of distinguished excellence. Figurative use of Taj Mahal in English as a name denoting anything surpassing or excellent is attested from 1895.
late 15c., from French béguine (13c.), Medieval Latin beguina, "a member of a women's spiritual order professing poverty and self-denial, founded c. 1180 in Liege in the Low Countries." They are said to take their name from the surname of Lambert le Bègue "Lambert the Stammerer," a Liege priest who was instrumental in their founding, and it's likely the word was pejorative at first. French bègue is of unknown origin. Related: Beguinage.
The women's order, though sometimes persecuted, generally preserved its good reputation, but it quickly drew imposters who did not; nonetheless it eventually was condemned as heretical. A male order, called Beghards founded communities by the 1220s in imitation of them, but they soon degenerated (compare Old French beguin "(male) Beguin," also "hypocrite") and wandered begging in the guise of religion; they likely were the source of the words beg and beggar, though there is disagreement over whether Beghard produced Middle Dutch beggaert "mendicant" or was produced by it. The male order was condemned by the Church early 14c. and vanished by mid-16c.
Cole Porter's "Begin the Beguine" (1935) refers to a kind of popular dance of West Indian origin, from French colloquial béguin "an infatuation, boyfriend, girlfriend," earlier "child's bonnet," and before that "nun's headdress" (14c.), from Middle Dutch beggaert, ultimately the same word as the above. Compare English biggin "child's cap" (1520s), from the French word.