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Mathematics :: Mathematics (n.) That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations..

Ratio :: Ratio (n.) The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient of the division of the first by the second; thus, the ratio of 3 to 6 is expressed by / or /; of a to b by a/b; or (less commonly) the second term is made the dividend; as, a:b = b/a..

Sum :: Sum (n.) The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; as, the sum of 5 and 7 is 12..

Algebra :: Algebra (n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.

Bisegment :: Bisegment (n.) One of tow equal parts of a line, or other magnitude..

Magnitude :: Magnitude (n.) Anything of which greater or less can be predicated, as time, weight, force, and the like..

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

Generate :: Generate (v. t.) To trace out, as a line, figure, or solid, by the motion of a point or a magnitude of inferior order..

Cepheus :: Cepheus (n.) A northern constellation near the pole. Its head, which is in the Milky Way, is marked by a triangle formed by three stars of the fourth magnitude. See Cassiopeia..

Magnitude :: Magnitude (n.) Greatness, in reference to influence or effect; importance; as, an affair of magnitude..

Generation :: Generation (n.) The formation or production of any geometrical magnitude, as a line, a surface, a solid, by the motion, in accordance with a mathematical law, of a point or a magnitude; as, the generation of a line or curve by the motion of a point, of a surface by a line, a sphere by a semicircle, etc..

Arcturus :: Arcturus (n.) A fixed star of the first magnitude in the constellation Bootes.

Mass :: Mass (n.) Bulk; magnitude; body; size.

Big :: Big (superl.) Having largeness of size; of much bulk or magnitude; of great size; large.

Scalar :: Scalar (n.) In the quaternion analysis, a quantity that has magnitude, but not direction; -- distinguished from a vector, which has both magnitude and direction..

Element :: Element (n.) An infinitesimal part of anything of the same nature as the entire magnitude considered; as, in a solid an element may be the infinitesimal portion between any two planes that are separated an indefinitely small distance. In the calculus, element is sometimes used as synonymous with differential..

Rigel :: Rigel (n.) A fixed star of the first magnitude in the left foot of the constellation Orion.

Screw :: Screw (n.) A straight line in space with which a definite linear magnitude termed the pitch is associated (cf. 5th Pitch, 10 (b)). It is used to express the displacement of a rigid body, which may always be made to consist of a rotation about an axis combined with a translation parallel to that axis..

Manifoldness :: Manifoldness (n.) A generalized concept of magnitude.

Aldebaran :: Aldebaran (n.) A red star of the first magnitude, situated in the eye of Taurus; the Bull's Eye. It is the bright star in the group called the Hyades..

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