Elliptic integral

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. {Fluent}. [1913 Webster]

{Elliptic integral}, one of an important class of integrals, occurring in the higher mathematics; -- so called because one of the integrals expresses the length of an arc of an ellipse. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • 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 …   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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