ellipse

(redirected from Elipse)
Also found in: Dictionary, Thesaurus, Medical.
Related to Elipse: eclipse

ellipse,

closed plane curve consisting of all points for which the sum of the distances between a point on the curve and two fixed points (foci) is the same. It is the conic sectionconic section
or conic
, curve formed by the intersection of a plane and a right circular cone (conical surface). The ordinary conic sections are the circle, the ellipse, the parabola, and the hyperbola.
..... Click the link for more information.
 formed by a plane cutting all the elements of the cone in the same nappe. The center of an ellipse is the point halfway between its foci. The major axis is the chord that passes through the foci. The minor axis is the chord that passes through the center perpendicular to the major axis. The latus rectum is the chord through either focus perpendicular to the major axis. The vertices are the two points of intersection of the major axis with the curve. The eccentricity of an ellipse, a ratio of two lengths, is a measure of its flatness; it is the distance from the center to either focus divided by the distance from the center to either vertex. The circlecircle,
closed plane curve consisting of all points at a given distance from some fixed point, called the center. A circle is a conic section cut by a plane perpendicular to the axis of the cone.
..... Click the link for more information.
 may be considered an ellipse of eccentricity zero, i.e., one in which the center and the two foci all coincide.

ellipse

A closed curve that is a type of conic section with an eccentricity less than one. The longest line that can be drawn through the center of an ellipse is the major axis whereas the shortest line is the minor axis. The two axes are at right angles. There are two foci, which lie on the major axis and are symmetrically positioned on opposite sides of the center. The sum of the distances from the foci to a point moving round the ellipse is constant and equal to the length of the major axis. An orbiting body moves in an ellipse with the primary at one of the foci. See also Kepler's laws; orbit.

Ellipse

A closed loop obtained by cutting a right circular cone by a plane.

Ellipse

 

the intersection of a plane and one of the nappes of a circular conical surface (Figure 1).

Figure 1

An ellipse may also be defined as the locus of points M in the plane for which the sum of the distances from two fixed points F1 and F2 in the plane is constant; F1 and F2 are known as the foci of the ellipse. If a system of coordinates xOy is chosen as shown in Figure 2, then the equation of the ellipse assumes the form

Here, OF1 = OF2 = c, 2a = F1M + F2M, and Ellipse.

Figure 2

An ellipse is a quadratic curve. It is symmetric with respect to its axes AB and CD, and its center O is its center of symmetry. The line segments AB = 2a and CD = 2b are called the major and minor axes of the ellipse, respectively. The number e = cla < 1 is known as the eccentricity of the ellipse; if a = b, then e = 0 and the ellipse is a circle. The lines whose equations are x = –a/e and x = a/e are called the directrices of the ellipse; the ratio of the distance of a point of the ellipse from the nearest focus and the distance of the point from the nearest directrix is constant and equal to the eccentricity. The points A and B where the ellipse intersects its major axis are called its vertices. (See alsoCONIC SECTION.)

ellipse

[ə′lips]
(mathematics)
The locus of all points in the plane at which the sum of the distances from a fixed pair of points, the foci, is a given constant.

ellipse

a closed conic section shaped like a flattened circle and formed by an inclined plane that does not cut the base of the cone. Standard equation x2/a2 + y2/b2 = 1, where 2a and 2b are the lengths of the major and minor axes. Area: πab
References in periodicals archive ?
El sistema BIVA define los estados de hidratacion pre y postdialisis aplicando una escala ordinal a las elipses de tolerancia (1,17).
Alem disso, a elipse tambem deflagra apenas uma leitura descritiva, como exemplificado em (7):
With classic lines and golden trim, the Regent pen is beautifully presented in a stylish Elipse gift box, and is available in a choice of three colours: Blue, Black or Burgundy.
Under the terms of the agreement, PerkinElmer Life Sciences will incorporate its Prenatal LifeCycle Screening Management software, part of PerkinElmer's Specimen Gate Laboratory Information Management System (LIMS) with the Leeds Innovations independently validated eLipse prenatal risk assessment module.
Companies like General Electric, Schneider Electric, Siemens, Rockwell Automation, Advantech, Beijer Electronics, Bosch Rexroth, EAO, Eaton, Elipse Software, Emerson Electric, Digital Electronics, Honeywell International, Mitsubishi Electric, Omron and Yokogawa Electric are mentioned in this human machine interface market research available for purchase at http://www.
Eighties popstar Bonnie Tyler's much-anticipated gig was delayed by three hours as the Total Elipse Of The Heart singer missed her flight from the UK.
Is testavimo rezultatu akivaizdziai matyti, kad jei tarpe tarp krastu nustatymo yra 4 taskai, tai elipse turi daugiausia 9 taskus vienoje tieseje, o daugiakampyje, turinciame ivairaus ilgio krastines vienoje tieseje, yra 27 taskai.
Elas se tornaram excessivamente tecnicas e velozes e deste modo ha ausencia de branco, de vazio, de elipse e do silencio.
b) Uma mudanca de tempo, inclusive nao havendo mudancas de espaco, seja de elipse, analepse seja de prolepse.
The Elipse Studio premises in Carliol Square once belonged to Lindisfarne drummer Ray Laidlaw.
uk for PS130 or the Office Sense Elipse trumpet base table for PS142.