Also 7 æquate. [f. L. æquāt- ppl. stem of æquā-re: see prec.]

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  † 1.  trans. To make (bodies) equal; to balance. Obs. rare.

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1530.  Palsgr., 539/1. They were nothyng egall, but he hath nowe equated them.

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1755.  B. Martin, Mag. Arts & Sc., 394. The Guinea and large Piece of Cork … seem not to be nicely equated in Weight.

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  † 2.  To take the average of. Obs.

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14[?].  Mann. & Househ. Exp. (1841), 439. Mete fyrst how many roddes that one ende is over thwart, and in lyke wyse mete that other ende. Than equate that.

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  b.  Astr. To reduce to an average; to make the allowances necessary for bringing observations to a common standard, or for obtaining a correct result.

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1633.  T. James, Voy., Q ij. The Declination was not equated.

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1677.  R. Cary, Chronol., I. I. I. xii. 44. With some other Epagomenæ at the end of the Year, or in a short period of Years fit to equate the Motion of the Sun.

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1751.  Chambers, Cycl., s.v., To Equate solar days, that is to convert apparent into mean time, and mean into apparent time.

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1833.  Sir J. Herschel, Astron., iv. 174. This last process is technically termed correcting or equating the observation for nutation.

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  3.  Math. To state the equality of (one quantity) to or with (another); to state the equality between (two quantities); to put in the form of an equation.

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1779.  Hutton, in Phil. Trans., LXX. 9. The fluxion of this expression being equated to 0. Ibid. (1806), Course Math., I. 229. By equating the terms which contain like powers of z.

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1846.  Ruskin, Mod. Paint., I. II. IV. iii. § 24. It is not to be chipped out by the geologist or equated by the mathematician.

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1883.  Nature, XXVII. 225. By equating the computed difference to the actual difference.

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  4.  transf. and fig. To treat, regard or represent as equivalent.

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1840.  Gladstone, Ch. Princ., 399. The danger of confounding true and false by equating them [forms of religion] all.

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a. 1859.  De Quincey, Philos. Herod., Wks. 1862, VIII. 211. Three generations were equated to a century.

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1877.  Skeat, Piers Plowm., Notes 460. Marlow uses the word ‘chary’ rather artfully, so that it may be equated either to ‘dearly’ or ‘carefully.’

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1882.  Rhys, Celtic Britain, App. 278. Boudicca might perhaps be equated … with such a Latin name as Victorina.

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1885.  Ch. Q. Rev., Oct. 95. In the Book of Leinster thirty-four foreign saints are equated with natives.

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  Hence Equated ppl. a., Equating vbl. sb.

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1633.  H. Gellibrand, in T. James, Voy., R ij. The Æquated Anomaly of the [symbol] orbe.

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1691.  Wood, Ath. Oxon., II. 338. He divulged his invention of the equating of a streight line to a crooked or parabole.

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1694.  E. Halley, in Phil. Trans., XVIII. 251. When the æquated Number II. is less than 113.

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1790.  Herschel, ibid. LXXI. 122. The clock altered to true equated time.

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1817.  H. T. Colebrooke, Algebra, etc. 312. The mean or equated depth.

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1870.  Bowen, Logic, vi. 160. It makes no difference which of the equated quantities is placed first.

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