Magic square
Square Square (skw[^a]r), n. [OF. esquarre, esquierre, F. ['e]querre a carpenter's square (cf. It. squadra), fr. (assumed) LL. exquadrare to make square; L. ex + quadrus a square, fr. quattuor four. See {Four}, and cf. {Quadrant}, {Squad}, {Squire} a square.] 1. (Geom.) (a) The corner, or angle, of a figure. [Obs.] (b) A parallelogram having four equal sides and four right angles. [1913 Webster]

2. Hence, anything which is square, or nearly so; as: (a) A square piece or fragment. [1913 Webster]

He bolted his food down his capacious throat in squares of three inches. --Sir W. Scott. [1913 Webster] (b) A pane of glass. (c) (Print.) A certain number of lines, forming a portion of a column, nearly square; -- used chiefly in reckoning the prices of advertisements in newspapers. (d) (Carp.) One hundred superficial feet. [1913 Webster]

3. 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. [1913 Webster]

The statue of Alexander VII. stands in the large square of the town. --Addison. [1913 Webster]

4. (Mech. & Joinery) 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 try-square., etc. [1913 Webster]

5. Hence, a pattern or rule. [Obs.] [1913 Webster]

6. (Arith. & Alg.) The product of a number or quantity multiplied by itself; thus, 64 is the square of 8, for 8 [times] 8 = 64; the square of a + b is a^{2} + 2ab + b^{2}. [1913 Webster]

7. Exact proportion; justness of workmanship and conduct; regularity; rule. [Obs.] [1913 Webster]

They of Galatia [were] much more out of square. --Hooker. [1913 Webster]

I have not kept my square. --Shak. [1913 Webster]

8. (Mil.) A body of troops formed in a square, esp. one formed to resist a charge of cavalry; a squadron. ``The brave squares of war.'' --Shak. [1913 Webster]

9. Fig.: The relation of harmony, or exact agreement; equality; level. [1913 Webster]

We live not on the square with such as these. --Dryden. [1913 Webster]

10. (Astrol.) The position of planets distant ninety degrees from each other; a quadrate. [Obs.] [1913 Webster]

11. The act of squaring, or quarreling; a quarrel. [R.] [1913 Webster]

12. The front of a woman's dress over the bosom, usually worked or embroidered. [Obs.] --Shak. [1913 Webster]

{fair and square} in a fair, straightforward, and honest manner; justly; as, he beat me fair and square.

{Geometrical square}. See {Quadrat}, n., 2.

{Hollow square} (Mil.), a formation of troops in the shape of a square, each side consisting of four or five ranks, and the colors, officers, horses, etc., occupying the middle.

{Least square}, {Magic square}, etc. See under {Least}, {Magic}, etc.

{On the square}, or {Upon the square}, (a) in an open, fair manner; honestly, or upon honor; justly. [Obs or Colloq.] (b) at right angles.

{On the square with}, or {Upon the square with}, upon equality with; even with. --Nares.

{To be all squares}, to be all settled. [Colloq.] --Dickens.

{To be at square}, to be in a state of quarreling. [Obs.] --Nares.

{To break no squares}, to give no offense; to make no difference. [Obs.]

{To break squares}, to depart from an accustomed order. [Obs.]

{To see how the squares go}, to see how the game proceeds; -- a phrase taken from the game of chess, the chessboard being formed with squares. [Obs.] --L'Estrange. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

### Look at other dictionaries:

• Magic square — Magic Mag ic, Magical Mag ic*al, a. [L. magicus, Gr. ?, fr. ?: cf. F. magique. See {Magi}.] 1. Pertaining to the hidden wisdom supposed to be possessed by the Magi; relating to the occult powers of nature, and the producing of effects by their… …   The Collaborative International Dictionary of English

• magic square — n. a table of numbers with the same amount of rows and columns, in which the sum of each column, row, or main diagonal is always equal to the same number …   English World dictionary

• Magic square — In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.[1] A normal magic… …   Wikipedia

• magic square — a square containing integers arranged in an equal number of rows and columns so that the sum of the integers in any row, column, or diagonal is the same. [1695 1705] * * * ▪ puzzle       square matrix often divided into cells, filled with numbers …   Universalium

• magic square — noun a) A palindromic square word arrangement, usually in the form of a magic amulet. Probably the best known magic square is the 5 times;5 square consisting of the words ROTAS OPERA TENET AREPO SATOR. b) An n by n arrangement of n numbers such… …   Wiktionary

• magic square — square divided into smaller numbered squares so that that every row and column adds up to the same total …   English contemporary dictionary

• magic square — mag′ic square′ n. math. a square containing integers arranged in an equal number of rows and columns so that the sum of the integers in any row, column, or diagonal is the same • Etymology: 1695–1705 …   From formal English to slang

• magic square — noun a square matrix of n rows and columns; the first n^2 integers are arranged in the cells of the matrix in such a way that the sum of any row or column or diagonal is the same • Hypernyms: ↑square matrix …   Useful english dictionary

• magic square — noun Date: circa 1704 a square containing a number of integers arranged so that the sum of the numbers is the same in each row, column, and main diagonal and often in some or all of the other diagonals …   New Collegiate Dictionary

• magic square — noun a square divided into smaller squares each containing a number, such that the figures in each vertical, horizontal, and diagonal row add up to the same value …   English new terms dictionary