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 — a:algebraic-characters [2018/03/30 02:05] (current) Line 1: Line 1: + << [[contents:​index| Dictionary Index]] << [[contents:​a|Definitions under A]] + + ---- + + ====== Algebraic Characters ====== + + + is the sign of addition; as c + d denotes that d is to be added to c; + + - is the sign of subtraction;​ thus, c - d implies that d is to be subtracted from c. + + x is the sign of multiplication;​ as c x d means the product of c and d. + + ÷ is the sign of division; c ÷ d signifies the quotient of c and d. + + = is the sign of equality; thus c + d = e means the sum of c and d equals e. + + √ is the sign of the square root; thus √x denotes the square root of a. + + + ​∛​ is the sign of the cube root, and generally any root of a quantity may be denoted by this sign, with the index of the root placed over it; thus ​∛​ signifies the cube root, ​∜​ the biquadrate root, etc.; but they may likewise be represented by the reciprocals of these indices ; as x {{:​f:​fraction-one-two.png|fraction 1⁄2}}, x {{:​a:​fraction-one-three.png|fraction 1⁄3}}, implying the square and cube roots of x. + + A vinculum is a line drawn over several quantities, and means that they are taken together, as {{:​a:​square-root.png|}} signifies the square root of ax and b. —// Phillips'​s Compendium of Algebra//. 12mo. 1824. + + [<6>]