Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 n. A plane figure having four equal sides.
 n. Something having an equalsided rectangular form: a square of cloth.
 n. A Tshaped or Lshaped instrument for drawing or testing right angles.
 n. Mathematics The product obtained when a number or quantity is multiplied by itself: 49 is the square of 7.
 n. Games Any of the quadrilateral spaces on a board, as in chess.
 n. An open, usually foursided area at the intersection of two or more streets, often planted with grass and trees for use as a park.
 n. A rectangular space enclosed by streets and occupied by buildings; a block.
 n. Slang A person who is regarded as dull, rigidly conventional, and out of touch with current trends.
 n. Slang A square meal. Often used in the plural: three squares a day.
 adj. Having four equal sides and four right angles.
 adj. Forming a right angle.
 adj. Expressed in units measuring area: square feet.
 adj. Having a specified length in each of two equal dimensions: a room that is 12 feet square.
 adj. Having a base that is a square: a square pyramid.
 adj. Nautical Set at right angles to the mast and keel. Used of the yards of a squarerigged ship.
 adj. Approximately rectangular and equilateral in cross section: a square house.
 adj. Characterized by blocklike solidity or sturdiness.
 adj. Honest; direct: a square answer.
 adj. Just; equitable: a square deal.
 adj. Having all accounts settled; even.
 adj. Sports Even; tied.
 adj. Slang Rigidly conventional; dull.
 transitive v. To cut to a square or rectangular shape.
 transitive v. To test for conformity to a desired plane, straight line, or right angle.
 transitive v. To mark into squares. Often used with off.
 transitive v. To bring into conformity or agreement: She could not square the request with her principles.
 transitive v. To bring (oneself) into a better position or relation: He tried to square himself with his parents.
 transitive v. To set straight or at approximate right angles: square one's cap.
 transitive v. To bring into balance; settle: square a debt.
 transitive v. Sports To even the score of: to square a game.
 transitive v. Mathematics To raise (a number or quantity) to the second power.
 transitive v. Mathematics To find a square equal in area to (the area of a given figure).
 transitive v. Informal To bribe or fix: a party in litigation that tried to square the judge.
 intransitive v. Mathematics To be at right angles.
 intransitive v. To agree or conform: a story that doesn't square with the facts.
 adv. Mathematics At right angles.
 adv. In a square shape.
 adv. In a solid manner; firmly.
 adv. Directly; straight: ran square into each other.
 adv. In an honest, straightforward manner.
 square away Nautical To square the yards of a sailing vessel.
 square away To put away or in order.
 square off To assume a fighting stance; prepare to fight.
 square up To settle a bill or debt.
 idiom on the square Mathematics At right angles.
 idiom on the square Honestly and openly: has always dealt on the square.
 idiom out of square Mathematics Not at exact right angles.
 idiom out of square Not in agreement.
 idiom square peg in a round hole Informal A misfit.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Any simple object with four nearly straight and nearly equal sides meeting at nearly right angles.
 n. An L or Tshaped tool used to place objects or draw lines at right angles.
 n. An open space in a town, not necessarily square in shape, often containing trees, seating and other features pleasing to the eye.
 n. A cell in a grid.
 n. A polygon with four sides of equal length and four angles of 90 degrees; a regular quadrilateral whose angles are all 90 degrees.
 n. The second power of a number, value, term or expression.
 n. A body of troops drawn up in a square formation.
 n. A socially conventional person; typically associated with the 1950s
 n. The symbol # on a telephone; hash.
 n. The central area of a cricket field, containing several pitches laid out next to one another  only one being used at a time.
 n. A unit of measurement of area, equal to a 10 foot by 10 foot square, ie. 100 square feet or roughly 9.3 square metres. Used in real estate for the size of a house or its rooms, though progressively being replaced by square metres in metric countries such as Australia.
 n. A unit used in measuring roof area equivalent to 100 square feet (9.29 m2) of roof area.
 n. A dessert cut into rectangular pieces, or a piece of such a dessert.
 n. A mortarboard
 n. A square meal.
 adj. Shaped like a square (the polygon).
 adj. At right angles to.
 adj. Used in the names of units of area formed by multiplying a unit of length by itself.
 adj. Honest; straightforward.
 adj. Fair.
 adj. Even; tied
 adj. Socially conventional; boring.
 adj. in line with the batsman's popping crease.
 adj. Correctly aligned with respect to something else
 v. To adjust so as to align with or place at a right angle to something else.
 v. To resolve.
 v. To adjust or adapt so as to bring into harmony with something.
 v. Of a value, term, or expression, to multiply by itself; to raise to the second power.
 v. To draw, with a pair of compasses and a straightedge only, a square with the same area as.
 v. To make a short low pass sideways across the pitch
 v. To take opposing sides; to quarrel.
 v. To accord or agree exactly; to be consistent with; to suit; to fit.
 v. To go to opposite sides; to take an attitude of offense or defense, or of defiance; to quarrel.
 v. To take a boxing attitude; often with up or off.
from the GNU version of the Collaborative International Dictionary of English
 adj. Having four equal sides and four right angles.
 adj. Forming a right angle.
 adj. Having a shape broad for the height, with rectilineal and angular rather than curving outlines.
 adj. Exactly suitable or correspondent; true; just.
 adj. Rendering equal justice; exact; fair; honest.
 adj. Even; leaving no balance.
 adj. Leaving nothing; hearty; vigorous.
 adj. At right angles with the mast or the keel, and parallel to the horizon;  said of the yards of a squarerigged vessel when they are so braced.
 n.
 n. The corner, or angle, of a figure.
 n. A parallelogram having four equal sides and four right angles.
 n. Hence, anything which is square, or nearly so.
 n. A square piece or fragment.
 n. A pane of glass.
 n. A certain number of lines, forming a portion of a column, nearly square;  used chiefly in reckoning the prices of advertisements in newspapers.
 n. One hundred superficial feet.
 n. An area of four sides, generally with houses on each side; sometimes, a solid block of houses; also, an open place or area for public use, as at the meeting or intersection of two or more streets.
 n. An instrument having at least one right angle and two or more straight edges, used to lay out or test square work. It is of several forms, as the T square, the carpenter's square, the trysquare., etc.
 n. Hence, a pattern or rule.
 n. The product of a number or quantity multiplied by itself.
 n. Exact proportion; justness of workmanship and conduct; regularity; rule.
 n. A body of troops formed in a square, esp. one formed to resist a charge of cavalry; a squadron.
 n. Fig.: The relation of harmony, or exact agreement; equality; level.
 n. The position of planets distant ninety degrees from each other; a quadrate.
 n. The act of squaring, or quarreling; a quarrel.
 n. The front of a woman's dress over the bosom, usually worked or embroidered.
 intransitive v. To accord or agree exactly; to be consistent with; to conform or agree; to suit; to fit.
 intransitive v. To go to opposite sides; to take an attitude of offense or defense, or of defiance; to quarrel.
 intransitive v. To take a boxing attitude;  often with up, sometimes with off.
 transitive v. To form with four equal sides and four right angles.
 transitive v. To form with right angles and straight lines, or flat surfaces.
 transitive v. To compare with, or reduce to, any given measure or standard.
 transitive v. To adjust; to regulate; to mold; to shape; to fit.
 transitive v. To make even, so as to leave no remainder or difference; to balance.
 transitive v. To multiply by itself.
 transitive v. To hold a quartile position respecting.
 transitive v. To place at right angles with the keel.
from The Century Dictionary and Cyclopedia
 Having four equal sides and four right angles; quadrate; rectangular and equilateral; as, a square room; a square figure.
 Forming a right angle; having some part rectangular: as, a table with square corners.
 Cut off at right angles, as any body or figure with parallel sides: as, a square apse or transept; a square (squareheaded) window.
 Having a shape broad as compared with the height, with rectilinear and angular rather than curved outlines: as, a man of square frame.
 Accurately adjusted as by a square; true; just; fitting; proper.
 Hence Equitable; just; fair; unimpeachable.
 Even; leaving no balance: as, to make the accounts square; to be square with the world.
 Absolute; positive; unequivocal: as, a square refusal; a square contradiction; a square issue.
 Leaving nothing; thoroughgoing; hearty.
 Hence Solid; substantial; satisfying.
 Nautical, noting a vessel's yards when they are horizontal and athwartships, or at right angles to the keel.
 A man who is fairdealing, straightforward, and trustworthy.
 To make square; form with four equal sides and four right angles: as, to square a block; specifically (military), to form into a square.
 To shape by reducing accurately to right angles and straight lines.
 To reduce to any given measure or standard; mold; adjust; regulate; accommodate; fit.
 In astrology, to hold a quartile position in relation to.
 To balance; counterbalance; make even, so as to leave no difference or balance; settle: as, to square accounts.
 To make angular; bring to an angular position.
 In mathematics, to multiply (a number or quantity) by itself.
 To form into a polygon: a loose use of the word.
 To make “square” or “all right”; “fix”—that is, to make a corrupt bargain with; bribe; suborn: as, to square a subordinate before attempting a fraud.
 To find the equivalent of in square measure; also, to describe a square equivalent to.
 To accord; agree; fit: as, his opinions do not square with mine.
 To quarrel; wrangle; take opposing sides.
 To take the attitude of a boxer; prepare to spar: usually with a qualifying adverb: as, to square up; to square off.
 To strut; swagger.
 Squarely; at right angles; without deviation or deflection: as, to hit a person square on the head.
 In golf, said of a game when both sides are all oven, neither being ahead.
 Analogous to the side of a square, as in the phrase square root.
 See degree.
 To mark with lines forming squares, as paper for mathematical use; mark off in squares. See coördinate paper.
 n. In geometry, a foursided plane rectilineal figure, having all its sides equal, and all its angles right angles.
 n. A figure or object which nearly approaches this shape; a square piece or part, or a square surface: as, a square of glass.
 n. Specifically— In printing, a certain number of lines forming a part of a column nearly square: used chiefly in reckoning the prices of newspaper advertisements.
 n. A square piece of linen, cloth, or silk, usually decorated with embroidery, fringe, or lace: as, a tablesquare.
 n. A quadrilateral area, rectangular or nearly so, with buildings, or sites for buildings, on every side; also, an open space formed by the intersection of streets; hence, such an area planted with trees, shrubs, or grass, and open to the public for recreation or diversion; a public park among buildings; a common; a green: as, Union Square in New York; Lafayette Square in Washington; Trafalgar Square in London.
 n. An area bounded by four streets; a block: as, the house is four or five squares further uptown.
 n. An instrument used by artificers, draftsmen, and others for trying or describing right angles.
 n. Hence A true measure, standard, or pattern.
 n. In arithmetic and algebra, the number or quantity derived from another (of which it is said to be the square) by multiplying that other by itself: thus, 64 is the square of 8, for 8 × 8 = 64; xor x × x is the square of x.
 n. Rule; regularity; exact proportion; hence, integrity of conduct; honest dealing. See phrases on the square , out of square, etc.
 n. A body of troops drawn up in quadrilateral form.
 n. A name given to various squared projections or shanks to which other parts of machines may be fitted.
 n. Level; equality: generally with the. See on the square , below.
 n. In astrology, quartile; the position of planets distant 90 degrees from each other. See aspect, 7.
 n. Opposition; enmity; quarrel, See square, intransitive verb, 2.
 n. A part of a woman's dress
 n. A square opening in the upper part of the front of a bodice, or other garment covering the throat and neck. It is usually filled in with another material, except for evening dress.
 n. A puzzle or device consisting of a series of words so selected that when arranged in a square they may be read alike across and downward. Also called wordsquare.
 n. In bookbinding, the parts of the cover of a bound book that project beyond the edge of the leaves.
 n. The square end of the arbor designed to receive the windingkey of a watch, or the similar part by which the hands of the watch are set.
 n. In flooring, roofing, and other branches of mechanical art, an area 10 feet square; 100 square feet.
 n. In heraldry, a bearing representing a carpenters' square. (See def. 5.) It is represented with or without the scale.
 n. In organbuilding, a thin piece of wood, in or nearly in the shape of a rightangled triangle, pivoted at the right or largest angle and connected with trackers at the other angles. It serves to change the direction of the trackeraction from vertical to horizontal, or vice versa.
 n. On an equality; on equal terms.
 n. Honest; just; fairly; honestly.
 n. Out of order; out of the way; irregular; incorrect or incorrectly.
 n. A dialectal form of squire.
 n. A strong iron frame to which the carriages of a spinningmule are fastened and coupled, and in which is carried some of the mechanism for giving motion to the spindles and for building the cops.
 n. The three to five (often four) leaflike heartshaped bracts surrounding the flower of the cotton plant, taken collectively. They are fringed or cut in different degrees in different species, of which they thus become distinctive.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 v. raise to the second power
 v. turn the oar, while rowing
 n. something approximating the shape of a square
 adj. without evasion or compromise
 adv. in a square shape
 v. make square
 n. any artifact having a shape similar to a plane geometric figure with four equal sides and four right angles
 adj. characterized by honesty and fairness
 v. pay someone and settle a debt
 n. the product of two equal terms
 n. a formal and conservative person with oldfashioned views
 v. turn the paddle; in canoeing
 v. cause to match, as of ideas or acts
 adj. having four equal sides and four right angles or forming a right angle
 v. position so as to be square
 adj. leaving no balance
 n. an open area at the meeting of two or more streets
 n. a hand tool consisting of two straight arms at right angles; used to construct or test right angles
 adv. in a straight direct way
 adv. firmly and solidly
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

Population in 1860, remaining the same per Population in 1860, remaining square mile, if area equal to that of South the same per _square mile_, if
The Continental Monthly, Vol. 5, No. 5, May, 1864 Devoted To Literature And National Policy

A square, a circle, a triangle, or any other form but that of an _oblong square_, would be eminently incorrect and unmasonic, because such a figure would not be an expression of the symbolic idea which is intended to be conveyed.

Now observe, in the ornament close to the eye, you had _six figures_ and a whole wreath of roses in the space of _a foot and a half_ square; but in the ornament sixty feet from the eye, you have now only ten or twelve large _leaves_ in a space of _eight feet square_! and note also that now there is no attempt whatsoever at the refinement of line and finish of edge which there was in the other example.
Lectures on Architecture and Painting Delivered at Edinburgh in November 1853

II. i.30 (23,1) [But they do square] [To _square_ here is to quarrel.

Just a block from Scanton's main square is the headquarters of Joe Sestak, Toomey's Democratic opponent.
US midterms: Americans driven to the polls by fear in the Halloween elections

Here's the Zocalo or main square from the rooftop restaurant of a hotel (the location in the past few weeks of a Spencer Tunick nude photo shoot and a free Shakira concert which drew 210,000 people) 

The main square is called “Rynek” (which basically means “central market place”), and in the middle there are two buildings: “Ratusz” or City Hall (compare with German “Rathaus”) and “Sukiennice”, a long onelevel building not unlike a bazaar, filled with stores.

The square in square is going to be harder to work with, as there are several places where there is just no seam allowance beyond the points; I'll be forced to chop some of them off when adding the border, though hopefully not too many.

Just south of Patzcuaro's main square is an outdoor market, itself a virtual WalMart, where shoppers can find everything from avocados and mangoes to extension cords and pirated DVDs.

Select the label square and fill with light green (#D3E27E), and remove the stroke.
ruzuzu commented on the word square
"To mark with lines forming squares, as paper for mathematical use; mark off in squares. See coördinate paper." CD&C
March 8, 2012
ruzuzu commented on the word square
See L7.
October 27, 2011
sionnach commented on the word square
An L and a 7.
I cannot let this stand. Nobody writes sevens with a rightangle in them. Furthermore many of us write them with little continental crosses. But whether or not you cross your 7's, they are more semirhomboid in character than semisquare. I'm all for pushing boundaries, but this goes too far.
Harrumph.
October 27, 2011
ruzuzu commented on the word square
An L and a 7.
October 27, 2011
donricklin commented on the word square
also a kind of sail shape and rigging.
October 11, 2008
optionparalysis commented on the word square
Where I'm from, a "square" is a cigarette. One of my favorite slang words.
October 8, 2008
reesetee commented on the word square
Actually, if you click on the "more" button, you'll see approximately a gazillion other definitions, a few of which approach that particular meaning. :)
February 26, 2008
chained_bear commented on the word square
Ha! Welcome to WordNet (or as it's affectionately known in these parts, WeirdNet), cricket. You'll see some really whackedout definitions there, but they're there for a reason: to spark conversation. So in that sense, they're wildly successful.
I like your definition better: "extremely outofdate dudes" should definitely be in the dictionary.
February 26, 2008
cricket commented on the word square
Ok, that definition up there seriously needs revising. I'm thinking more like extremely outofdate dudes.
February 26, 2008
bilby commented on the word square
Cricket jargon  at rightangles to the pitch, from to the point of view of the batsman on strike.
December 2, 2007