English definition of Equation

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Definition of equation

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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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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..

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

Sinusoid :: Sinusoid (n.) The curve whose ordinates are proportional to the sines of the abscissas, the equation of the curve being y = a sin x. It is also called the curve of sines..

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

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..

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

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

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..

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

Depress :: Depress (v. t.) To reduce (an equation) in a lower degree.

Affected :: Affected (p. p. & a.) Made up of terms involving different powers of the unknown quantity; adfected; as, an affected equation..

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..

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..

Folium :: Folium (n.) A curve of the third order, consisting of two infinite branches, which have a common asymptote. The curve has a double point, and a leaf-shaped loop; whence the name. Its equation is x3 + y3 = axy..

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

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

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

Resolvent :: Resolvent (n.) An equation upon whose solution the solution of a given pproblem depends.

Inequation :: Inequation (n.) An inequality.