# Least square

Least 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:

• Least-Square — Die Methode der kleinsten Quadrate (bezeichnender auch: der kleinsten Fehlerquadrate; englisch: Least Squares Method) ist das mathematische Standardverfahren zur Ausgleichungsrechnung. Es ist eine Wolke aus Datenpunkten gegeben, die physikalische …   Deutsch Wikipedia

• Least Square — Die Methode der kleinsten Quadrate (bezeichnender auch: der kleinsten Fehlerquadrate; englisch: Least Squares Method) ist das mathematische Standardverfahren zur Ausgleichungsrechnung. Es ist eine Wolke aus Datenpunkten gegeben, die physikalische …   Deutsch Wikipedia

• 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.]… …   The Collaborative International Dictionary of English

• Least squares — The method of least squares is a standard approach to the approximate solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns. Least squares means that the overall solution minimizes the sum of… …   Wikipedia

• Least-squares estimation of linear regression coefficients — In parametric statistics, the least squares estimator is often used to estimate the coefficients of a linear regression. The least squares estimator optimizes a certain criterion (namely it minimizes the sum of the square of the residuals). In… …   Wikipedia

• Square rig — is a generic type of sail and rigging arrangement in which the primary driving sails are carried on horizontal spars which are perpendicular, or [http://en.wiktionary.org/wiki/square#Adjective square] , to the keel of the vessel and to the masts …   Wikipedia

• Least mean squares filter — Least mean squares (LMS) algorithms are a class of adaptive filter used to mimic a desired filter by finding the filter coefficients that relate to producing the least mean squares of the error signal (difference between the desired and the… …   Wikipedia

• Square-tailed Drongo — Mkhuze Game Reserve, South Africa Conservation status …   Wikipedia

• Least-squares spectral analysis — (LSSA) is a method of estimating a frequency spectrum, based on a least squares fit of sinusoids to data samples, similar to Fourier analysis. [cite book | title = Variable Stars As Essential Astrophysical Tools | author = Cafer Ibanoglu |… …   Wikipedia

• square — [skwer] n. [ME < OFr esquarre < VL * exquadra < * exquadrare, to make square < L ex, out + quadrare, to square < quadrus, a square < base of quattuor,FOUR] 1. a plane figure having four equal sides and four right angles: see… …   English World dictionary