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- Equation - n. - A making equal; equal division; equality; equilibrium.
- 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.
- 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.
- Lima/on - n. - A curve of the fourth degree, invented by Pascal. Its polar equation is r = a cos / + b.
- 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.
- 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.
- 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.
- Quartic - n. - A curve or surface whose equation is of the fourth degree in the variables.
- 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'.
- 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.
- Transposition - n. - The bringing of any term of an equation from one side over to the other without destroying the equation.
- Approximation - n. - A continual approach or coming nearer to a result; as, to solve an equation by approximation.
- Resolution - n. - The act or process of solving; solution; as, the resolution of an equation or problem.
- Resolvent - n. - An equation upon whose solution the solution of a given pproblem depends.
- Menstrual - a. - Recurring once a month; monthly; gone through in a month; as, the menstrual revolution of the moon; pertaining to monthly changes; as, the menstrual equation of the sun's place.
- 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.
- 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.
- 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.
- 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.
- 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.
- Parabolism - n. - The division of the terms of an equation by a known quantity that is involved in the first term.
- Transformation - n. - The change, as of an equation or quantity, into another form without altering the value.