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agitate: agitate: [16] Agitate is one of a host of English words descended ultimately from Latin agere (see AGENT). Among the many meanings of agere was ‘drive, move’, and a verb derived from it denoting repeated action, agitāre, hence meant ‘move to and fro’. This physical sense of shaking was present from the start in English agitate, but so was the more metaphorical ‘perturb’.

The notion of political agitation does not emerge until the early 19th century, when the Marquis of Anglesey is quoted as saying to an Irish deputation: ‘If you really expect success, agitate, agitate, agitate!’ In this meaning, a derivative of Latin agitāre has entered English via Russian in agitprop ‘political propaganda’ [20], in which agit is short for agitatsiya ‘agitation’.
=> act, agent
angle: angle: There have been two distinct words angle in English. The older is now encountered virtually only in its derivatives, angler and angling, but until the early 19th century an angle was a ‘fishing hook’ (or, by extension, ‘fishing tackle’). It entered the language in the Old English period, and was based on Germanic *angg- (source also of German angel ‘fishing tackle’).

An earlier form of the word appears to have been applied by its former inhabitants to a fishhook-shaped area of Schleswig, in the Jutland peninsula; now Angeln, they called it Angul, and so they themselves came to be referred to as Angles. They brought their words with them to England, of course, and so both the country and the language, English, now contain a reminiscence of their fishhooks. Angle in the sense of a ‘figure formed by two intersecting lines’ entered the language in the 14th century (Chaucer is its first recorded user).

It came from Latin angulus ‘corner’, either directly or via French angle. The Latin word was originally a diminutive of *angus, which is related to other words that contain the notion of ‘bending’, such as Greek ágkūra (ultimate source of English anchor) and English ankle. They all go back to Indo-European *angg- ‘bent’, and it has been speculated that the fishhook angle, with its temptingly bent shape, may derive from the same source.
=> english; anchor, ankle
congruent: congruent: [15] Etymologically, triangles that are congruent ‘come together’ or ‘agree’ – that is, are similar. The word comes from congruēns, the present participle of Latin congruere ‘come together, meet, agree’. This was a compound verb formed from the prefix com- ‘together’ and a verb, *gruere, not found elsewhere (some have linked it with Latin ruere ‘fall’ – ultimate source of English ruin – in which case congruere would have meant literally ‘fall together’, but others have seen a connection with Greek zakhrēēs ‘attacking violently’). Incongruous is a 17thcentury adoption from Latin incongruus.
diagonal: diagonal: [16] Diagonal is commonly used simply as a synonym for oblique, but in strict mathematical terms it denotes a line joining two non-adjacent angles of a polygon. This reveals far more clearly its origins. It comes from diagōnālis, a Latin adjective derived from Greek diagónios. This was a compound formed from the prefix dia- ‘across’ and gōníā ‘angle’ (as in English polygon), meaning ‘from angle to angle’. Gōníā is related ultimately to English knee and genuine.
=> genuine, knee, polygon
English: English: [OE] The people and language of England take their name from the Angles, a West Germanic people who settled in Britain in the 5th and 6th centuries AD. They came originally from the Angul district of Schleswig, an area of the Jutland peninsula to the south of modern Denmark. This had a shape vaguely reminiscent of a fishhook, and so its inhabitants used their word for ‘fishhook’ (a relative of modern English angler and angling) to name it.

From earliest times the adjective English seems to have been used for all the Germanic peoples who came to Britain, including the Saxons and Jutes, as well as the Angles (at the beginning of the 8th century Bede referred to them collectively as gens anglorum ‘race of Angles’). The earliest record of its use with reference to the English language is by Alfred the Great.
=> angler, angling
normal: normal: [17] Latin norma originally denoted a sort of set square used by carpenters, masons, etc for measuring right angles. It was extended metaphorically to a ‘rule, pattern, precept’, but English originally took over its derivative normālis as a mathematical term, in the fairly literal sense ‘perpendicular’. The more familiar modern sense ‘standard, usual’ did not emerge until the 19th century, at about the same time as normality, normalcy, and norm itself began to appear on the scene.
yet: yet: [OE] Yet is one of the mystery words of English. It seems to have emerged from the Anglo-Frisian group of dialects in northeastern Europe before the Angles and Saxons crossed the Channel (Old Frisian had iēta), but its ultimate source is unknown.
abeam (adv.): "at right angles to the mainmast," 1826, nautical, literally "on beam;" see a- (1) + beam (n.).
Angle: member of a Teutonic tribe, Old English, from Latin Angli "the Angles," literally "people of Angul" (Old Norse Öngull), a region in what is now Holstein, said to be so-called for its hook-like shape (see angle (n.)). People from the tribe there founded the kingdoms of Mercia, Northumbia, and East Anglia in 5c. Britain. Their name, rather than that of the Saxons or Jutes, may have become the common one for the whole group of Germanic tribes because their dialect was the first committed to writing.
Anglian: "of the Angles," 1726; see Angle. The Old English word was Englisc, but as this came to be used in reference to the whole Germanic people of Britain, a new word was wanted to describe this one branch of them.
anglicize (v.): 1710, with -ize + Medieval Latin Anglicus "of the English," from Angli "the Angles" (see Angle). Related: Anglicized; anglicizing.
angular (adj.): 1590s, from Latin angularis "having corners or angles," from angulus (see angle (n.)). Earlier in an astrological sense, "occupying a cardinal point of the zodiac" (late 14c.). Angulous "having many corners" is from mid-15c.
bezel (n.): 1610s, "sloping edge," also "groove in which a stone is set," from Old French *besel (13c.; Modern French biseau), cognate with Spanish bisel; of uncertain origin, perhaps literally "a stone with two angles," from Vulgar Latin *bis-alus, from bis- "twice" (see bis-) + ala "wing, side" (see alar). Meaning "oblique face of a gem" is from c. 1840. The verb meaning "grind (a tool) down to an edge" is from 1670s.
cross (n.): Old English cros "instrument of Christ's crucifixion; symbol of Christianity" (mid-10c.), from Old Irish cros, probably via Scandinavian, from Latin crux (accusative crucem, genitive crucis) "stake, cross" on which criminals were impaled or hanged (originally a tall, round pole); hence, figuratively, "torture, trouble, misery." The word is possibly of Phoenician origin. Replaced Old English rood.

Also from Latin crux are Italian croce, French croix, Spanish and Portuguese cruz, Dutch kruis, German Kreuz.

By c. 1200 as "ornamental likeness of the cross, something resembling or in the form of a cross; sign of the cross made with the right hand or with fingers." From mid-14c. as "small cross with a human figure attached; a crucifix;" late 14c. as "outdoor structure or monument in the form of a cross." Also late 14c. as "a cross formed by two lines drawn or cut on a surface; two lines intersecting at right angles; the shape of a cross without regard to religious signification." From late 12c. as a surname.

From c. 1200 in the figurative sense "the burden of a Christian; suffering; a trial or affliction; penance in Christ's name," from Matt. x.38, xvi.24, etc. Theological sense "crucifixion and death of Christ as a necessary part of his mission" is from late 14c.

As "a mixing of breeds in the production of animals" from 1760, hence broadly "a mixture of the characteristics of two different things." In pugilism, 1906, from the motion of the blow (1880s as a verb; cross-counter (n.) is from 1883).
delirium tremens (n.): 1813, medical Latin, literally "trembling delirium," introduced 1813 by British physician Thomas Sutton, for "that form of delirium which is rendered worse by bleeding, but improved by opium. By Rayer and subsequent writers it has been almost exclusively applied to delirium resulting from the abuse of alcohol" [Sydenham Society Lexicon of Medicine]. As synonyms, Farmer lists barrel-fever, gallon distemper, blue Johnnies, bottle ache, pink spiders, quart-mania snakes in the boots, triangles, uglies, etc.
England (n.): Old English Engla land, literally "the land of the Angles" (see English (n.1)), used alongside Angelcynn "the English race," which, with other forms, shows Anglo-Saxon persistence in thinking in terms of tribes rather than place. By late Old English times both words had come to be used with a clear sense of place, not people; a Dane, Canute, is first to call himself "King of England." By the 14c. the name was being used in reference to the entire island of Great Britain and to the land of the Celtic Britons before the Anglo-Saxon conquest. The loss of one of the duplicate syllables is a case of haplology.
English (n.1): "the people of England; the speech of England," noun use of Old English adjective Englisc (contrasted to Denisc, Frencisce, etc.), "of or pertaining to the Angles," from Engle (plural) "the Angles," the name of one of the Germanic groups that overran the island 5c., supposedly so-called because Angul, the land they inhabited on the Jutland coast, was shaped like a fish hook (see angle (n.)). Reinforced by Anglo-French engleis. Cognates: Dutch Engelsch, German Englisch, Danish Engelsk, French Anglais (Old French Engelsche), Spanish Inglés, Italian Inglese.

Englisc was used from earliest times without distinction for all the Germanic invaders -- Angles, Saxon, Jutes (Bede's gens Anglorum) -- and applied to their group of related languages by Alfred the Great. "The name English for the language is thus older than the name England for the country" [OED]. After 1066, of the native population of England (as distinguished from Normans and French occupiers), a distinction which lasted about a generation. But as late as Robert of Gloucester's "Chronicle" (c. 1300) it also was sometimes distinguished from "Saxon" ("Þe englisse in þe norþ half, þe saxons bi souþe").
"... when Scots & others are likely to be within earshot, Britain & British should be inserted as tokens, but no more, of what is really meant" [Fowler]
In pronunciation, "En-" has become "In-," perhaps through the frequency of -ing- words and the relative rarity of -e- before -ng- in the modern language, but the older spelling has remained. Meaning "English language or literature as a subject at school" is from 1889. Old English meaning the Anglo-Saxon language before the Conquest is attested from c. 1200 in an account of the native (as opposed to Latin) month names.
entanglement (n.): 1630s, "that which entangles," from entangle + -ment. From 1680s as "act of entangling." Foreign entanglements does not appear as such in Washington's Farewell Address (1796), though he warns against them. The phrase is found in William Coxe's 1798 memoirs of Sir Robert Walpole.
geometric (adj.): 1620s, "pertaining to geometry," shortened form of geometrical (q.v.). In reference to a style of ancient Greek pottery decoration characterized by straight lines and angles, and the associated culture, 1902.
goniometer (n.): instrument for measuring solid angles, 1766, from Greek gonia "corner, angle," from PIE root *genu- (1) "knee; angle" (see knee (n.)) + -meter. Related: Goniometry.
lozenge (n.): figure having four equal sides and two acute and two obtuse angles, early 14c., from Old French losenge "windowpane, small square cake," etc., used for many flat quadrilateral things (Modern French losange). It has cognates in Spanish losanje, Catalan llosange, Italian lozanga. Probably from a pre-Roman Celtic language, perhaps Iberian *lausa or Gaulish *lausa "flat stone" (compare Provençal lausa, Spanish losa, Catalan llosa, Portuguese lousa "slab, tombstone"), from a pre-Celtic language.

Originally in English a term in heraldry; meaning "small cake or tablet (originally diamond-shaped) of medicine and sugar, etc., meant to be held in the mouth and dissolved" is from 1520s.
Norfolk: Nordfolc (1066) "(Territory of the) Northern People (of the East Angles)." The Norfolk pine (1778), used as an ornamental tree, is from Norfolk Island in the South Pacific, northwest of New Zealand.
normalcy (n.): 1857, "mathematical condition of being at right angles," from normal + -cy. Associated since c. 1920 with U.S. president Warren G. Harding and derided as an example of his incompetent speaking style. Previously used mostly in the mathematical sense. The word prefered by purists for "a normal situation" is normality (1849).
o'clock (adj.): c. 1720, abbreviation of of the clock (1640s), from Middle English of the clokke (late 14c.). Use of clock hand positions to describe vector directions or angles is from late 18c.
pentagon (n.): plane figure with five angles and five sides, 1560s, from Middle French pentagone or directly from Late Latin pentagonum "pentagon," from Greek pentagonon, noun use of neuter of adjective pentagonos "five-angled," from pente "five" (see five) + gonia "angle" (see -gon). The U.S. military headquarters Pentagon was completed 1942, so called for its shape; used allusively for "U.S. military leadership" from 1945. Related: Pentagonal.
In nature, pentagonal symmetry is rare in inanimate forms. Packed soap bubbles seem to strive for it but never quite succeed, and there are no mineral crystals with true pentagonal structures. But pentagonal geometry is basic to many living things, from roses and forget-me-nots to sea urchins and starfish. [Robert Bringhurst, "The Elements of Typographic Style," 1992]
plywood (n.): 1907, from ply (n.) + wood (n.). So called because the layers are arranged so that the grain of one runs at right angles to that of the next.
pons (n.): "bridge," in various Latin expressions, from Latin pons "bridge, connecting gallery, walkway," earlier probably "way, passage," from PIE *pent- "to go, tread" (see find (v.)). Especially pons asinorum "bridge of asses," nickname for the fifth proposition of the first book of Euclid, which beginners and slow wits find difficulty in "getting over": if two sides of a triangle are equal, the angles opposite these sides also are equal.
protractor (n.): 1610s, "one who lengthens (an action)," from Medieval Latin protractor, agent noun from Latin protrahere "to draw forward" (see protraction); sense of "instrument for drawing angles" first recorded 1650s.
spangle (v.): 1540s, "cover with spangles," from spangle (n.). Intransitive meaning "glitter, glisten" is from 1630s. Related: Spangled; spangling.
square (n.): mid-13c., "tool for measuring right angles, carpenter's square," from Old French esquire "a square, squareness," from Vulgar Latin *exquadra, back-formation from *exquadrare "to square," from Latin ex- "out" (see ex-) + quadrare "make square, set in order, complete," from quadrus "a square" (see quadrant).

Meaning "square shape or area" is recorded by late 14c. (Old English used feower-scyte). Geometric sense "four-sided rectilinear figure" is from 1550s; mathematical sense of "a number multiplied by itself" is first recorded 1550s. Sense of "open space in a town or park" is from 1680s; that of "area bounded by four streets in a city" is from c. 1700. As short for square meal, from 1882. Square one "the very beginning" (often what one must go back to) is from 1960, probably a figure from board games.
square (adj.): early 14c., "containing four equal sides and right angles," from square (n.), or from Old French esquarre, past participle of esquarrer. Meaning "honest, fair," is first attested 1560s; that of "straight, direct" is from 1804. Of meals, from 1868.

Sense of "old-fashioned" is 1944, U.S. jazz slang, said to be from shape of a conductor's hand gestures in a regular four-beat rhythm. Square-toes meant nearly the same thing late 18c.: "precise, formal, old-fashioned person," from the style of men's shoes worn early 18c. and then fallen from fashion. Squaresville is attested from 1956. Square dance attested by 1831; originally one in which the couples faced inward from four sides; later of country dances generally.
[T]he old square dance is an abortive attempt at conversation while engaged in walking certain mathematical figures over a limited area. [March 1868]
swastika (n.): Greek cross with arms bent at right angles, 1871 (in English specifically as emblem of the Nazi party from 1932), from Sanskrit svastika-s, literally "being fortunate," from svasti-s "well-being, luck," from su- "well" (from PIE *(e)su- "good") + as-, root of asti "(he) is," which is from the same PIE root as Latin esse "to be" (see essence).

Also known as gammadion (Byzantine), cross cramponnee (heraldry), Thor's hammer, and, perhaps, fylfot. Originally an ancient cosmic or religious symbol thought to bring good luck. Use in reference to the Nazi emblem first recorded in English in 1932. The German word was Hakenkreuz, literally "hook-cross."
tangle (v.): mid-14c., nasalized variant of tagilen "to involve in a difficult situation, entangle," from a Scandinavian source (compare dialectal Swedish taggla "to disorder," Old Norse þongull "seaweed"), from Proto-Germanic *thangul- (cognates: Frisian tung, Dutch tang, German Tang "seaweed"); thus the original sense of the root evidently was "seaweed" as something that entangles (itself, or oars, or fishes, or nets). "The development of such a verb from a noun of limited use like tangle 1 is somewhat remarkable, and needs confirmation" [Century Dictionary]. In reference to material things, from c. 1500. Meaning "to fight with" is American English, first recorded 1928. Related: Tangled; tangling. Tanglefoot (1859) was Western American English slang for "strong whiskey."
triangle (n.): late 14c., from Old French triangle (13c.), from Latin triangulum "triangle," noun use of neuter of adjective triangulus "three-cornered, having three angles," from tri- "three" (see tri-) + angulus "corner, angle" (see angle (n.)).
trigonometry (n.): "branch of mathematics that deals with relations between sides and angles of triangles," 1610s, from Modern Latin trigonometria (Barthelemi Pitiscus, 1595), from Greek trigonon "triangle" (from tri- "three" (see tri-) + gonia "angle" (see -gon)) + metron "a measure" (see meter (n.2)).
hendecagon: "A plane figure with eleven straight sides and angles", Early 18th century: from hendeca- 'eleven' + -gon, on the pattern of words such as polygon.
dodecagon: "A plane figure with twelve straight sides and angles", Late 17th century: from Greek dōdekagōnon, neuter (used as a noun) of dōdekagōnos 'twelve-angled'.
angulate: "Hold, bend, or distort (a part of the body) so as to form an angle or angles", Late 15th century (as angulated, used chiefly as a botanical or zoological term): from Latin angulatus, past participle of angulare, from angulus 'angle'. The skiing term dates from the 1970s.
sexangular: "Having six angles or corners; = hexagonal 2", Early 17th cent.; earliest use found in Edward Topsell (d. 1625), Church of England clergyman and author. From post-classical Latin sexangularis hexagonal from classical Latin sexangulus + -āris. Compare earlier sexangled, sexangle.
rectangulate (2): "To place at right angles; to divide into rectangles; to give a rectangular form to; to arrange or set out in a rectangular form", Mid 19th cent.; earliest use found in John Phillips. From post-classical Latin rectangulum rectangle + -ate.
quinquangular: "Having five angles or corners; pentagonal", Mid 17th cent.; earliest use found in William Bedwell (bap. 1563, d. 1632), Arabist and mathematician. From classical Latin quīnque five + angular. Compare post-classical Latin quinquangularis, French quinquangulaire.
acutangular: "Having or forming one or more acute angles; acute-angled", Mid 17th cent.; earliest use found in John Collins (1625–1683), mathematician and scientific administrator. From post-classical Latin acutangulus + -ar.
polyangular: "Having many angles or sides; polygonal", Late 17th cent.; earliest use found in Edward Sherburne (d. 1702), translator and poet. From poly- + angular.
pentangular: "Having five angles or angular points; pentagonal", Mid 17th cent.; earliest use found in Sylvanus Morgan (1620–1693), arms painter and author. From penta- + angular, after pentangle.