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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.

Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the coördinates of its points involves only the ordinary operations of algebra; -- opposed…

By algebraic process.

One versed in algebra.

To perform by algebra; to reduce to algebraic form.

One who analyzes; formerly, one skilled in algebraical geometry; now commonly, one skilled in chemical analysis.

of one science for the purpose of enlarging or perfecting another; as, the application of algebra to geometry.

nomy, and social science. -- Universal arithmetic, the name given by Sir Isaac Newton to algebra.

instant the value of a quantity dependent upon it. -- Exponential calculus, that part of algebra which treats of exponents. -- Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. -- Integral calculus, a method whic…

An algebraic curve, so called from its resemblance to a heart.

f friction. Arbitrary coefficient (Math.), a literal coefficient placed arbitrarily in an algebraic, expression, the value of the coefficient being afterwards determined by the conditions of the problem.

A thing (only in phrase below). Rule of Coss, an old name for Algebra. Etym: [It. regola di cosa rule of thing, the unknown quantity being called the cosa, or the thing.]

Of or relating to algebra; as, cossic numbers, or the cossic art. [Obs.] "Art of numbers cossical." Digges (1579).

A derived function; a function obtained from a given function by a certain algebraic process.

To change the form of, as of an algebraic expression, by executing certain indicated operations without changing the value.

To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation.

Originated or taught by Diophantus, the Greek writer on algebra. Diophantine analysis (Alg.), that branch of indeterminate analysis which has 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 s…

One of the terms in an algebraic expression.

An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.…

A rule or principle expressed in algebraic language; as, the binominal formula.