Elliptic integral

Elliptic integral
Elliptic El*lip"tic, Elliptical El*lip"tic*al, a. [Gr. ?: cf. F. elliptique. See {Ellipsis}.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. [1913 Webster]

The planets move in elliptic orbits. --Cheyne. [1913 Webster]

The billiard sharp who any one catches, His doom's extremely hard He's made to dwell In a dungeon cell On a spot that's always barred. And there he plays extravagant matches In fitless finger-stalls On a cloth untrue With a twisted cue And elliptical billiard balls! --Gilbert and Sullivan (The Mikado: The More Humane Mikado Song)

2. Having a part omitted; as, an elliptical phrase. [1913 Webster]

3. leaving out information essential to comprehension; so concise as to be difficult to understand; obscure or ambiguous; -- of speech or writing; as, an elliptical comment. [PJC]

{Elliptic chuck}. See under {Chuck}.

{Elliptic compasses}, an instrument arranged for drawing ellipses.

{Elliptic function}. (Math.) See {Function}.

{Elliptic integral}. (Math.) See {Integral}.

{Elliptic polarization}. See under {Polarization}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Elliptic integral — Integral In te*gral, n. 1. A whole; an entire thing; a whole number; an individual. [1913 Webster] 2. (Math.) An expression which, being differentiated, will produce a given differential. See differential {Differential}, and {Integration}. Cf.… …   The Collaborative International Dictionary of English

  • Elliptic integral — In integral calculus, elliptic integrals originally arose in connection with the problem of giving the arc length of an ellipse. They were first studied by Giulio Fagnano and Leonhard Euler. Modern mathematics defines an elliptic integral as any… …   Wikipedia

  • elliptic integral — noun : the integral as to x of a function rational in x and the square root of a polynomial of third or fourth degree in x * * * Math. a certain kind of definite integral that is not expressible by means of elementary functions. [1880 85] …   Useful english dictionary

  • elliptic integral — Math. a certain kind of definite integral that is not expressible by means of elementary functions. [1880 85] * * * …   Universalium

  • Elliptic — El*lip tic, Elliptical El*lip tic*al, a. [Gr. ?: cf. F. elliptique. See {Ellipsis}.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. [1913 Webster] The planets move in elliptic orbits. Cheyne. [1913… …   The Collaborative International Dictionary of English

  • Elliptic chuck — Elliptic El*lip tic, Elliptical El*lip tic*al, a. [Gr. ?: cf. F. elliptique. See {Ellipsis}.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. [1913 Webster] The planets move in elliptic orbits. Cheyne …   The Collaborative International Dictionary of English

  • Elliptic compasses — Elliptic El*lip tic, Elliptical El*lip tic*al, a. [Gr. ?: cf. F. elliptique. See {Ellipsis}.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. [1913 Webster] The planets move in elliptic orbits. Cheyne …   The Collaborative International Dictionary of English

  • Elliptic function — Elliptic El*lip tic, Elliptical El*lip tic*al, a. [Gr. ?: cf. F. elliptique. See {Ellipsis}.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. [1913 Webster] The planets move in elliptic orbits. Cheyne …   The Collaborative International Dictionary of English

  • Elliptic polarization — Elliptic El*lip tic, Elliptical El*lip tic*al, a. [Gr. ?: cf. F. elliptique. See {Ellipsis}.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. [1913 Webster] The planets move in elliptic orbits. Cheyne …   The Collaborative International Dictionary of English

  • Integral — In te*gral, n. 1. A whole; an entire thing; a whole number; an individual. [1913 Webster] 2. (Math.) An expression which, being differentiated, will produce a given differential. See differential {Differential}, and {Integration}. Cf. {Fluent}.… …   The Collaborative International Dictionary of English

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