Search the Dictionary

ivision; equality; equilibrium. Again the golden day resumed its right, And ruled in just equation with the night. Rowe.

The act of equalizing; act or result of making adequate; an equivalent. [Obs.] Bp. Barlow.

Want of exact correspondence. [Obs.] Puller.

An inequality.

of double curvature, which is measured in the osculating plane of the curve. -- Absolute equation (Astron.), the sum of the optic and eccentric equations. -- Absolute space (Physics), space considered without relation to material limits or objects. -- Absolute terms. (Alg.), such as are known, or which do not contai…

An isolated point not upon a curve, but whose coördinates satisfy the equation of the curve so that it is considered as belonging to the curve.

up of terms involving different powers of the unknown quantity; adfected; as, an affected equation.

n; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the coördinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.

The resolving of problems by reducing the conditions that are in them to equations.

A continual approach or coming nearer to a result; as, to solve an equation by approximation.

quantity introduced for the purpose of simplifying or facilitating some operation, as in equations or trigonometrical formulæ. Math. Dict.

Of or pertaining to the biquadrate, or fourth power. Biquadratic equation (Alg.), an equation of the fourth degree, or an equation in some term of which the unknown quantity is raised to the fourth power. -- Biquadratic root of a number, the square root of the square root of that number. Thus the square root of 81 is…

igation or testamentary disposition is made to depend. Blount. Tomlins. Bouvier. Wharton. Equation of condition. (Math.) See under Equation. -- On or Upon condition (that), used for if in introducing conditional sentences. "Upon condition thou wilt swear to pay him tribute . . . thou shalt be placed as viceroy under h…

er 10, or any numeral. -- Arbitrary constant, an undetermined constant in a differential equation having the same value during all changes in the values of the variables.

des construction, but it does not go beyond the written text. Parsons. Construction of an equation (Math.), the drawing of such lines and figures as will represent geometrically the quantities in the equation, and their relations to each other. -- Construction train (Railroad), a train for transporting men and materia…

A change or reduction of the form or value of a proposition; as, the conversion of equations; the conversion of proportions.

Isometric or monometric; as, cubic cleavage. See Crystallization. Cubic equation, an equation in which the highest power of the unknown quantity is a cube. -- Cubic foot, a volume equivalent to a cubical solid which measures a foot in each of its dimensions. -- Cubic number, a number produced by multiplying a number…

mining the shape, location, singular points, and other perculiarities of a curve from its equation. -- Plane curve (Geom.), a curve such that when a plane passes through three points of the curve, it passes through all the other points of the curve. Any other curve is called a curve of double curvature, or a twisted c…

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.

To reduce (an equation) in a lower degree. To depress the pole (Naut.), to cause the sidereal pole to appear lower or nearer the horizon, as by sailing toward the equator.