elliptic integral

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Webster's Dictionary (GCIDE)

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]


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]

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