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Order :: Order (n.) Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation..

Lima/on :: Lima/on (n.) A curve of the fourth degree, invented by Pascal. Its polar equation is r = a cos / + b..

Resolution :: Resolution (n.) The act or process of solving; solution; as, the resolution of an equation or problem..

Evection :: Evection () An inequality of the moon's motion is its orbit to the attraction of the sun, by which the equation of the center is diminished at the syzygies, and increased at the quadratures by about 1¡ 20'..

Acnode :: Acnode (n.) An isolated point not upon a curve, but whose coordinates satisfy the equation of the curve so that it is considered as belonging to the curve..

Lituus :: Lituus (n.) A spiral whose polar equation is r2/ = a; that is, a curve the square of whose radius vector varies inversely as the angle which the radius vector makes with a given line..

Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.

Solution :: Solution (n.) The act of solving, or the state of being solved; the disentanglement of any intricate problem or difficult question; explanation; clearing up; -- used especially in mathematics, either of the process of solving an equation or problem, or the result of the process..

Expand :: Expand (v. t.) To state in enlarged form; to develop; as, to expand an equation. See Expansion, 5..

Auxiliary :: Auxiliary (sing.) A quantity introduced for the purpose of simplifying or facilitating some operation, as in equations or trigonometrical formulae..

Approximation :: Approximation (n.) A continual approach or coming nearer to a result; as, to solve an equation by approximation..

Numerical :: Numerical (n.) Belonging to number; denoting number; consisting in numbers; expressed by numbers, and not letters; as, numerical characters; a numerical equation; a numerical statement..

Variable :: Variable (n.) A quantity which may increase or decrease; a quantity which admits of an infinite number of values in the same expression; a variable quantity; as, in the equation x2 - y2 = R2, x and y are variables..

Equation :: Equation (n.) 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..

Transpose :: Transpose (v. t.) To bring, as any term of an equation, from one side over to the other, without destroying the equation; thus, if a + b = c, and we make a = c - b, then b is said to be transposed..

Analysis :: Analysis (n.) The resolving of problems by reducing the conditions that are in them to equations.

Transformation :: Transformation (n.) The change, as of an equation or quantity, into another form without altering the value..

Eliminate :: Eliminate (v. t.) To cause to disappear from an equation; as, to eliminate an unknown quantity..

Quadratic :: Quadratic (a.) Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square..

Member :: Member (n.) Either of the two parts of an algebraic equation, connected by the sign of equality..

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