a:algebraic-characters

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+ | << [[contents:index| Dictionary Index]] << [[contents:a|Definitions under A]] | ||

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+ | ---- | ||

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+ | ====== Algebraic Characters ====== | ||

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+ | + is the sign of addition; as c + d denotes that d is to be added to c; | ||

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+ | - is the sign of subtraction; thus, c - d implies that d is to be subtracted from c. | ||

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+ | x is the sign of multiplication; as c x d means the product of c and d. | ||

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+ | ÷ is the sign of division; c ÷ d signifies the quotient of c and d. | ||

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+ | = is the sign of equality; thus c + d = e means the sum of c and d equals e. | ||

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+ | √ is the sign of the square root; thus √x denotes the square root of a. | ||

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+ | <wrap fontsize-15em>∛</wrap> 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 <wrap fontsize-15em>∛</wrap> signifies the cube root, <wrap fontsize-15em>∜</wrap> 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. | ||

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+ | 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. | ||

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+ | [<6>] | ||

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