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Quad·rat n.

1. Print. A block of type metal lower than the letters, -- used in spacing and in blank lines. [Abbrev. quad.]

2. An old instrument used for taking altitudes; -- called also geometrical square, and line of shadows.

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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.]