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magic square

魔術方陣

Mag·ic Mag·ic·al a.

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 agency.

2. Performed by, or proceeding from, occult and superhuman agencies; done by, or seemingly done by, enchantment or sorcery; as, a magical spell. Hence: Seemingly requiring more than human power; imposing or startling in performance; producing effects which seem supernatural or very extraordinary; having extraordinary properties; as, a magic lantern; a magic square or circle.

*The painter's magic skill.* --*Cowper.*

Note: ☞ Although with certain words __magic__ is used more than __magical__, -- as, __magic__ circle, __magic__ square, __magic__ wand, -- we may in general say __magic__ or __magical__; as, a __magic__ or __magical__ effect; a __magic__ or __magical__ influence, etc. But when the adjective is predicative, __magical__, and not __magic__, is used; as, the effect was __magical__.

**Magic circle**, a series of concentric circles containing the numbers 12 to 75 in eight radii, and having somewhat similar properties to the magic square.

**Magic humming bird** Zool., a Mexican humming bird (Iache magica) , having white downy thing tufts.

**Magic lantern**. See Lantern.

**Magic square**, numbers so disposed in parallel and equal rows in the form of a square, that each row, taken vertically, horizontally, or diagonally, shall give the same sum, the same product, or an harmonical series, according as the numbers taken are in arithmetical, geometrical, or harmonical progression.

**Magic wand**, a wand used by a magician in performing feats of magic.

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Square n.

1. Geom. (a) The corner, or angle, of a figure. [Obs.] (b) A parallelogram having four equal sides and four right angles.

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

*He bolted his food down his capacious throat in squares of three inches.* --*Sir W. Scott.*

(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.

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.

*The statue of Alexander VII. stands in the large square of the town.* --*Addison.*

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.

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

6. Arith. & Alg. The product of a number or quantity multiplied by itself; thus, 64 is the square of 8, for 8 × 8 = 64; the square of a + b is a² + 2ab + b².

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

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

*I have not kept my square.* --*Shak.*

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.”*

9. Fig.: The relation of harmony, or exact agreement; equality; level.

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

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

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

From: WordNet (r) 2.0

magic square

n : a square matrix of n rows and columns; the first n-squared

integers are arranged in the cells of the matrix is such

a way that the sum of any row or column or diagonal is

the same