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3 definitions found
 for Magic square
From The Collaborative International Dictionary of English v.0.48 :

  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.
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                  He bolted his food down his capacious throat in
                  squares of three inches.          --Sir W.
                                                    Scott.
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        (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.
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     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.
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     7. Exact proportion; justness of workmanship and conduct;
        regularity; rule. [Obs.]
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              They of Galatia [were] much more out of square.
                                                    --Hooker.
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              I have not kept my square.            --Shak.
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     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.
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     9. Fig.: The relation of harmony, or exact agreement;
        equality; level.
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              We live not on the square with such as these.
                                                    --Dryden.
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     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]

From The Collaborative International Dictionary of English v.0.48 :

  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 agency.
        [1913 Webster]
  
     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.
        [1913 Webster]
  
              The painter's magic skill.            --Cowper.
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     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.
           [1913 Webster]
  
     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.
        [1913 Webster]

From WordNet (r) 3.0 (2006) :

  magic square
      n 1: 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

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