n. [ LL. algebra, fr. Ar. al-jebr reduction of parts to a whole, or fractions to whole numbers, fr. jabara to bind together, consolidate; al-jebr w'almuqābalah reduction and comparison (by equations): cf. F. algèbre, It. & Sp. algebra. ] 1. (Math.) 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. [ 1913 Webster ]

2. A treatise on this science. [ 1913 Webster ]

{ } a. 1. Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings; algebraic geometry. [ 1913 Webster ]

2. progressing by constant multiplicatory factors; -- of a series of numbers. Contrasted to arithmetical. algebraic progression
Syn. -- algebraic [ PJC ]

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 to a transcendental curve. [ 1913 Webster ]

adv. By algebraic process. [ 1913 Webster ]

n. One versed in algebra. [ 1913 Webster ]

v. t. To perform by algebra; to reduce to algebraic form. [ 1913 Webster ]