Etymology
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Words related to beau

belle (n.)
"beautiful woman well-dressed; reigning beauty," 1620s, from French belle, from Old French bele, from Latin bella, fem. of bellus "beautiful, fair," from PIE *dwenelo-, diminutive form of root *deu- (2) "to do, perform; show favor, revere." "The dim. meaning is the reason why bellus was originally used to refer to women and children; it was applied to men only ironically" [de Vaan].
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beaucoup 
French, literally "a great heap" (13c.), from beau "fine, great" (see beau (n.)) + coup "a stroke," also "a throw," hence, "a heap" (see coup (n.)). Compare Spanish golpe "multitude," from the same Latin source.
beau-monde (n.)
also beau monde, "the fashionable world," 1714, French, from beau (see beau) + monde, from Latin mundus "world" (see mundane).
belles-lettres (n.)
"elegant literature, literature as fine art," 1710, French, literally "fine letters," from belles, plural of belle, fem. of beau "fine, beautiful" (see beau) + lettres, plural of lettre "letter" (see letter (n.)). The literary equivalent of beaux arts; its boundaries never have been exact, and it is "now generally applied (when used at all) to the lighter branches of literature, or the æsthetics of literary study" [OED].
*deu- (2)
Proto-Indo-European root meaning "to do, perform; show favor, revere."

It forms all or part of: beatific; beatify; beatitude; Beatrice; beau; beauty; Bella; belle; beldam; belladonna; belvedere; bene-; benedict; Benedictine; benediction; benefactor; beneficiary; benefice; beneficence; benefit; benevolent; benign; bonanza; bonbon; bonhomie; bonito; bonjour; bonny; bonus; boon (adj.); bounty; debonair; embellish.

It is the hypothetical source of/evidence for its existence is provided by: Latin bene (adv.) "well, in the right way, honorably, properly," bonus "good," bellus "handsome, fine, pretty," and possibly beatus "blessed," beare "to make blessed."