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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Differentiate :: Differentiate (v. t.) To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation..

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

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..

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'..

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

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

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

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

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

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

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..

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..

Adequation :: Adequation (n.) The act of equalizing; act or result of making adequate; an equivalent.

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

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

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

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

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

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

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..