Definitions for ellipseɪˈlɪps

This page provides all possible meanings and translations of the word ellipse

Random House Webster's College Dictionary

el•lipseɪˈlɪps(n.)

  1. a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal; a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the cone.

    Category: Math

    Ref: See also diag. at conic section . art

Origin of ellipse:

1745–55; < F < L ellīpsisellipsis]

Princeton's WordNet

  1. ellipse, oval(noun)

    a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it

    "the sums of the distances from the foci to any point on an ellipse is constant"

Wiktionary

  1. ellipse(Noun)

    A closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.

  2. ellipse(Verb)

    To remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated.

    In B's response to A's question:- (A: Would you like to go out?, B: I'd love to), the ellipsed words are

  3. Origin: From ellipse.

Webster Dictionary

  1. Ellipse(noun)

    an oval or oblong figure, bounded by a regular curve, which corresponds to an oblique projection of a circle, or an oblique section of a cone through its opposite sides. The greatest diameter of the ellipse is the major axis, and the least diameter is the minor axis. See Conic section, under Conic, and cf. Focus

  2. Ellipse(noun)

    omission. See Ellipsis

  3. Ellipse(noun)

    the elliptical orbit of a planet

Freebase

  1. Ellipse

    In mathematics, an ellipse is a plane curve that results from the intersection of a cone by a plane in a way that produces a closed curve. Circles are special cases of ellipses, obtained when the cutting plane is orthogonal to the cone's axis. Analytically, an ellipse is defined as the set of points such that the distance of each point from a given point bears a constant ratio of less than 1 to its distance from a given straight line. An ellipse is also the locus of all points in the plane whose distances to two fixed points add to the same constant. The name ἔλλειψις was given by Apollonius of Perga in his Conics, emphasizing the connection of the curve with "application of areas". Ellipses are closed curves and are the bounded case of the conic sections, the curves that result from the intersection of a circular cone and a plane that does not pass through its apex; the other two cases are parabolas and hyperbolas. Ellipses arise from the intersection of a right circular cylinder with a plane that is not parallel to the cylinder's main axis of symmetry. Ellipses also arise as images of a circle under parallel projection and the bounded cases of perspective projection, which are simply intersections of the projective cone with the plane of projection. It is also the simplest Lissajous figure, formed when the horizontal and vertical motions are sinusoids with the same frequency.


Translations for ellipse

Kernerman English Multilingual Dictionary

ellipse(noun)

a geometrical figure that is a regular oval.

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