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rrectness of any operation or result; thus, in subtraction, if the difference between two numbers, added to the lesser number, makes a sum equal to the greater, the correctness of the subtraction is proved.

A rosary, consisting of a hundred and fifty beads, corresponding to the number of the psalms.

A number of fishhooks rigidly fastened back to be pulled through the water to catch fish.

e Manus, and the transactions of their descendants. The principal Puranas are eighteen in number, and there are the same number of supplementary books called Upa Puranas.

ebral column in most birds; the plowshare bone; the vomer. It is formed by the union of a number of the last caudal vertebræ, and supports the uropigium.

Same as Tetragonal. Pyramidal numbers (Math.), certain series of figurate numbers expressing the number of balls or points that may be arranged in the form of pyramids. Thus 1, 4, 10, 20, 35, etc., are trangular pyramidal numbers; and 1, 5, 14, 30, 55, etc., are square pyramidal numbers.

kaloids, as a colorless liquid with a peculiar pungent odor. It is the nucleus of a large number of organic substances, among which several vegetable alkaloids, as nicotine and certain of the ptomaïnes, may be mentioned. See Lutidine.

A name given to a number of metallic minerals, sulphides of iron, copper, cobalt, nickel, and tin, of a white or yellowish color.

d, C4H5N, having on odor like that of chloroform. It is the nucleus and origin of a large number of derivatives. So called because it colors a splinter of wood moistened with hydrochloric acid a deep red.

c.), or his philosophy. The central thought of the Pythagorean philosophy is the idea of number, the recognition of the numerical and mathematical relations of things. Encyc. Brit. Pythagorean proposition (Geom.), the theorem that the square described upon the hypothenuse of a plane right-angled triangle is equal to t…

surface when the area limited by a curve can be exactly found, and expressed in a finite number of algebraic terms.

Produced by multiplying a number by itself; square. " Quadrate and cubical numbers." Sir T. Browne.

nited States, a unit with fifteen ciphers annexed; according to the English notation, the number produced by involving a million to the fourth power, or the number represented by a unit with twenty-four ciphers annexed. See the Note under Numeration.

stribution by four, or into four parts; also, a taking the fourth part of any quantity or number.

four times the sum or number; a fourfold amount; as, to receive to quadruple of the amount in damages.

the recorders in boroughs. -- Quarter square (Math.), the fourth part of the square of a number. Tables of quarter squares have been devised to save labor in multiplying numbers. -- Quarter turn, Quarter turn belt (Mach.), an arrangement in which a belt transmits motion between two shafts which are at right angles wi…

The number four. Boyle.

The number four. [Poetic]

The number four. [Obs.] Sir T. Browne.

a million, or a unit with eighteen ciphers annexed; according to the English notation, a number produced by involving a million to the fifth power, or a unit with thirty ciphers annexed. See the Note under Numeration.