Etymology
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Words related to broad

wide (adj.)

Old English wid "vast, broad, long," also used of time, from Proto-Germanic *widaz (source also of Old Saxon, Old Frisian wid, Old Norse viðr, Dutch wijd, Old High German wit, German weit), perhaps from PIE *wi-ito-, from root *wi- "apart, away, in half."

Meaning "distended, expanded, spread apart" is from c. 1500; sense of "embracing many subjects" is from 1530s; meaning "missing the intended target" is from 1580s. As a second element in compounds (such as nationwide, worldwide) meaning "extending through the whole of," is is from late Old English. As an adverb, Old English wide. Wide open "unguarded, exposed to attack" (1915) originally was in boxing, etc. Wide awake (adj.) is first recorded 1818; figurative sense of "alert, knowing" is attested from 1833.

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abroad (adv.)
Origin and meaning of abroad
mid-13c., "widely apart," a contraction of on brode, from Old English on brede, "in width," literally "at wide" (see a- (1) + broad (adj.)). From c. 1300 as "at a distance from each other," hence "out of doors, away from home" (late 14c.) also "at a distance generally" (early 15c.), and the main modern sense, "out of one's country, overseas" (mid-15c.).
Bradley 
masc. proper name, originally a surname, from various places in England, literally "the broad clearing," from Old English elements brad (see broad (adj.)) + leah (see lea). Most popular in U.S. c. 1965-1995.
broadband (n.)
from 1620s in various senses, from broad (adj.) + band (n.1). In electronics from 1956 as "a band having a wide range of frequencies;" as a type of high-speed internet access, it was widely available from 2006.
broad-brim (adj.)
as a style of hat, 1680s, from broad (adj.) + brim (n.). Broad-brimmed) in 18c.-19c. suggested "Quaker male," from their characteristic attire.
broadcast (adj.)
1767, "dispersed upon the ground by hand," in reference to seed, from broad (adj.) + past participle of cast (v.). Figurative sense "widely spread" is recorded by 1785. As an adverb from 1832. Modern media use began with radio (1922, adjective and noun). As a verb, recorded from 1813 in an agricultural sense, 1829 in a figurative sense, 1921 in reference to radio.
broadcloth (n.)
also broad-cloth, "fine woolen cloth used in making men's garments," early 15c., from broad (adj.) + cloth (n.). So called from its width (usually 60 inches).
broaden (v.)
1726, "make broad;" 1727, "grow broad;" from broad (adj.) + -en (1). The word seems no older than this (it was cited by Johnson in one of James Thomson's "Seasons" poems); broadened also is first found in the same poet. Broadening is recorded from 1835 as a noun, 1850 as a present-participle adjective.
broad-minded (adj.)
1590s; see broad (adj.) + -minded. This abstract mental sense of broad existed in Old English; for example in bradnes "breadth," also "liberality."
broadsheet (n.)

also broad-sheet, 1705, "large sheet of paper printed on one side only," from broad (adj.) + sheet (n.1). By 1831 as "a broadsheet newspaper."