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\'b7 b' c. The determinant is written by placing the numbers from which it is formed in a square between two vertical lines. The theory of determinants forms a very important branch of modern mathematics.

The infield; the square space, 90 feet on a side, having the bases at its angles.

To ornament with squares, diamonds, or cubes.

An ornamenting in squares or cubes.

Any small cubical or square body. Words . . . pasted upon little flat tablets or dies. Watts.

s for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x2 + y2 an exact square.

ace. Every particle attracts every other with a force . . . inversely proportioned to the square of the distance. Sir I. Newton.

, etc. To exercise exclusive legislation . . . over such district not exceeding ten miles square. The Constitution of the United States.

Of or relating to a doctor, or to the degree of doctor. Doctoral habit and square cap. Wood.

The bolt of the cap-square over the trunnion of a cannon. Knight.

The depth of a square sail; -- generally applied to the courses only. Ham. Nav. Encyc.

Double; twofold. Duplicate proportion or ratio (Math.), the proportion or ratio of squares. Thus, in geometrical proportion, the first term to the third is said to be in a duplicate ratio of the first to the second, or as its square is to the square of the second. Thus, in 2, 4, 8, 16, the ratio of 2 to 8 is a duplicat…

The portion of a line formerly occupied by the letter m, then a square type, used as a unit by which to measure the amount of printed matter on a page; the square of the body of a type.

of the taking of an adverse pawn which makes a first move of two squares by a pawn already so advanced as to threaten the first of these squares. The pawn which takes en passant is advanced to the threatened square.

or a company is encamped; a camp; tents pitched or huts erected for temporary lodgings. A square of about seven hundred yards was sufficient for the encampment of twenty thousand Romans. Gibbon. A green encampment yonder meets the eye. Guardian.

Having equal angles; as, an equiangular figure; a square is equiangular. Equiangular spiral. (Math.) See under Spiral, n. -- Mutually equiangular, applied to two figures, when every angle of the one has its equal among the angles of the other.

Equal in measure but not admitting of superposition; -- applied to magnitudes; as, a square may be equivalent to a triangle.

r watch narrowly, or with fixed attention; to hold in view. Eye me, blest Providence, and square my trial To my proportioned strength. Milton.

Clearly; openly; frankly; civilly; honestly; favorably; auspiciously; agreeably. Fair and square, justly; honestly; equitably; impartially. [Colloq.] -- To bid fair. See under Bid. -- To speak fair, to address with courtesy and frankness. [Archaic]

A square bar of wood or iron, used to support the topmast, being passed through a hole or mortise at its heel, and resting on the trestle trees.