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Quartic :: Quartic (n.) A curve or surface whose equation is of the fourth degree in the variables.

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..

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 making equal; equal division; equality; equilibrium.

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..

Inadequation :: Inadequation (n.) Want of exact correspondence.

Inequation :: Inequation (n.) An inequality.

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..

Plexus :: Plexus (n.) The system of equations required for the complete expression of the relations which exist between a set of quantities.

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

Identity :: Identity (n.) An identical equation.

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..

Transposition :: Transposition (n.) The bringing of any term of an equation from one side over to the other without destroying the equation.

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

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

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

Elimination :: Elimination (n.) Act of causing a quantity to disappear from an equation; especially, in the operation of deducing from several equations containing several unknown quantities a less number of equations containing a less number of unknown quantities..

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..

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..

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

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