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Parabola :: Parabola (n.) One of a group of curves defined by the equation y = axn where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = /. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes..

Biquadratic :: Biquadratic (n.) A biquadratic equation.

Conversion :: Conversion (n.) A change or reduction of the form or value of a proposition; as, the conversion of equations; the conversion of proportions..

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

Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.

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..

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

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

Degree :: Degree (n.) State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a2b3c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown quantities in any term; thus, ax4 + bx2 = c, and mx2y2 + nyx = p, are both equations of the fourth degree..

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

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

Reduction :: Reduction (n.) The act or process of reducing. See Reduce, v. t., 6. and To reduce an equation, To reduce an expression, under Reduce, v. t..

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

Inequation :: Inequation (n.) An inequality.

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

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

Depression :: Depression (n.) The operation of reducing to a lower degree; -- said of equations.

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

Quadric :: Quadric (n.) A surface whose equation in three variables is of the second degree. Spheres, spheroids, ellipsoids, paraboloids, hyperboloids, also cones and cylinders with circular bases, are quadrics..

Equation :: Equation (n.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion..

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