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"
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.
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
Origin: From ellipse.
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
omission. See Ellipsis
the elliptical orbit of a planet
Origin: [Gr. 'e`lleipsis, prop., a defect, the inclination of the ellipse to the base of the cone being in defect when compared with that of the side to the base: cf. F. ellipse. See Ellipsis.]
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.
Chambers 20th Century Dictionary
el-lips′, n. an oval: (geom.) a figure produced by the section of a cone by a plane passing obliquely through the opposite sides.—ns. Ellip′sis (gram.), a figure of syntax by which a word or words are left out and implied:—pl. Ellip′sēs; Ellip′sograph, an instrument for describing ellipses; Ellip′soid (math.), a surface every plane section of which is an ellipse.—adjs. Ellipsoi′dal; Ellip′tic, -al, pertaining to an ellipse: oval: pertaining to ellipsis: having a part understood.—adv. Ellip′tically.—n. Elliptic′ity, deviation from the form of a circle or sphere: of the earth, the difference between the equatorial and polar diameters. [L.,—Gr. elleipsis—elleipein, to fall short—en, in, leipein, to leave.]
The numerical value of ellipse in Chaldean Numerology is: 1
The numerical value of ellipse in Pythagorean Numerology is: 6
Images & Illustrations of ellipse
Translations for ellipse
From our Multilingual Translation Dictionary
- ellipsa, eggklingraFaroese
- duyog, tambiluganTagalog
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