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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.…

Mixed mathematics.

when applied to any thing, as 6 feet, 10 men, they become concrete. -- Abstract or Pure mathematics. See Mathematics.

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.

applied each place so fast. Chapman. Applied chemistry. See under Chemistry. -- Applied mathematics. See under Mathematics.

A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which coëfficients or weights are ascribed. -- Calculus of functio…

s simultaneously and having reciprocal properties; -- frequently used in pure and applied mathematics with reference to two quantities, points, lines, axes, curves, etc. Conjugate axis of a hyperbola (Math.), the line through the center of the curve, perpendicular to the line through the two foci. -- Conjugate diamete…

en two vertical lines. The theory of determinants forms a very important branch of modern mathematics.

maginary dimension. Space of five or six, or more dimensions is also sometimes assumed in mathematics.

A degree of the first class both in classics and mathematics.

s, laudable actions, or acquirements; to be distinguished by superiority; as, to excel in mathematics, or classics. Unstable as water, thou shalt not excel. Gen. xlix. 4. Then peers grew proud in horsemanship t' excel. Pope.

That branch of applied mathematics which determines, by means of observations and measurements, the figures and areas of large portions of the earth's surface, or the general figure and dimenshions of the earth; or that branch of surveying in which the curvature of the earth is taken into account, as in the surveys of…

That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.

Italy, about the middle of the 17th century, who tried to apply the laws of mechanics and mathematics to the human body, and hence were eager student of anatomy; -- opposed to the iatrochemists.

. A suffix used in forming the names of certain sciences, systems, etc., as acoustics, mathematics, dynamics, statistics, politics, athletics.

luent. Elliptic integral, one of an important class of integrals, occurring in the higher mathematics; -- so called because one of the integrals expresses the length of an arc of an ellipse.

nition; -- chiefly used in the plural. There is a great difference in the delivery of the mathematics, which are the most abstracted of knowledges. Bacon. Knowledges is a term in frequent use by Bacon, and, though now obsolete, should be revived, as without it we are compelled to borrow "cognitions" to express its impo…

rated or accepted for immediate use in the demonstration of some other proposition, as in mathematics or logic.

Of or pertaining to mathematics; according to mathematics; hence, theoretically precise; accurate; as, mathematical geography; mathematical instruments; mathematical exactness. -- Math`e*mat"ic*al*ly, adv.

One versed in mathematics.