Equating for grades(Railroad Engin.), adding to the measured distance one mile for each twenty feet of ascent.Equating for curves, adding half a mile for each 360 degrees of curvature.

(E*qua"tion) n. [L. aequatio an equalizing: cf. F. équation equation. See Equate.]

1. A making equal; equal division; equality; equilibrium.

Again the golden day resumed its right,
And ruled in just equation with the night.

2. (Math.) 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.

3. (Astron.) 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.

Absolute equation. See under Absolute.Equation box, or Equational box, a system of differential gearing used in spinning machines for regulating the twist of the yarn. It resembles gearing used in equation clocks for showing apparent time.Equation of the center(Astron.), the difference between the place of a planet as supposed to move uniformly in a circle, and its place as moving in an ellipse.Equations of condition(Math.), equations formed for deducing the true values of certain quantities from others on which they depend, when different sets of the latter, as given by observation, would yield different values of the quantities sought, and the number of equations that may be found is greater than the number of unknown quantities.Equation of a curve(Math.), an equation which expresses the relation between the coördinates of every point in the curve.Equation of equinoxes(Astron.), the difference between the mean and apparent places of the equinox.Equation of payments(Arith.), the process of finding the mean time of payment of several sums due at different times.Equation of time(Astron.), the difference between mean and apparent time, or between the time of day indicated by the sun, and that by a perfect clock going uniformly all the year round.Equationclock or watch,

(E"qual*ly), adv. In an equal manner or degree in equal shares or proportion; with equal and impartial justice; without difference; alike; evenly; justly; as, equally taxed, furnished, etc.

(E"qual*ness), n. Equality; evenness. Shak.

(E*quan"gu*lar) a. [See Equiangular.] Having equal angles; equiangular. [R.] Johnson.

(E`qua*nim"i*ty) n. [L. aequanimitas, fr. aequanimus: cf. F. équanimité. See Equanimous.] Evenness of mind; that calm temper or firmness of mind which is not easily elated or depressed; patience; calmness; composure; as, to bear misfortunes with equanimity.

(E*quan"i*mous) a. [L. aequanimus, fr. aequus equal + animus mind.] Of an even, composed frame of mind; of a steady temper; not easily elated or depressed. Bp. Gauden.

(E"quant) n. [L. aequans, -antis, p. pr. of aequare: cf. F. équant. See Equate.] (Ptolemaic Astron.) A circle around whose circumference a planet or the center of ann epicycle was conceived to move uniformly; — called also eccentric equator.

(E*quate") v. t. [imp. & p. p. Equated; p. pr. & vb. n. Equating.] [L. aequatus, p. p. of aequare to make level or equal, fr. aequus level, equal. See Equal.] To make equal; to reduce to an average; to make such an allowance or correction in as will reduce to a common standard of comparison; to reduce to mean time or motion; as, to equate payments; to equate lines of railroad for grades or curves; equated distances.

Palgrave gives both scrolle and scrowe and equates both to F[rench] rolle.
Skeat (Etymol. Dict. ).

  By PanEris using Melati.

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