the foci of an ellipse

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• Ellipse — Elliptical redirects here. For the exercise machine, see Elliptical trainer. This article is about the geometric figure. For other uses, see Ellipse (disambiguation). Not to be confused with ellipsis. An ellipse obtained as the intersection of a… …   Wikipedia

• Ellipse/Proofs — The derivation of the cartesian form for an ellipse is simple and instructive. An ellipse is defined as a the loci of points equidistant to two fixed points called the foci. Assuming that the foci are located at ( c,0) and (c,0) (ie. the ellipse… …   Wikipedia

• ellipse — [e lips′, ilips′] n. pl. ellipses [e lip′sēz΄, i lip′sēz΄] [ModL ellipsis < Gr elleipsis, a defect, ellipse < elleipein, to fall short < en , in + leipein, to leave (see LOAN): so named from falling short of a perfect circle] Geom. the… …   English World dictionary

• ellipse — /i lips /, n. Geom. a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section formed by the intersection of a right circular cone by a plane that cuts the… …   Universalium

• Foci — Focus Fo cus (f[=o] k[u^]s), n.; pl. E. {Focuses} (f[=o] k[u^]s*[e^]z), L. {Foci} (f[=o] s[imac]). [L. focus hearth, fireplace; perh. akin to E. bake. Cf. {Curfew}, {Fuel}, {Fusil} the firearm.] 1. (Opt.) A point in which the rays of light meet,… …   The Collaborative International Dictionary of English

• ellipse — 1. 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 …   Wiktionary

• ellipse — el•lipse [[t]ɪˈlɪps[/t]] n. math. 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… …   From formal English to slang

• ellipse — /əˈlɪps / (say uh lips), /i / (say ee ) noun a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section formed by the intersection of a right circular cone by …  

• ellipse — [ɪ lɪps] noun a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base. Origin… …   English new terms dictionary

• Proofs involving the ellipse — The derivation of the cartesian form for an ellipse is simple and instructive. One simple definition of the ellipse is the locus of all points of the plane whose distances to two fixed points(called the foci) add to the same constant . See… …   Wikipedia

• n-ellipse — In geometry, a multifocal ellipse (also known as n ellipse, k ellipse, polyellipse, egglipse, generalized ellipse, and (in German) Tschirnhaus sche Eikurve) is a generalization of an ellipse with multiple foci. More concretely, and given n points …   Wikipedia