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Plane curve
2\pi .} Ellipses are the closed type of conic section: a plane curve tracing the intersection of a cone with a plane (see figure). Ellipses have many
Ellipse
Triple-dot punctuation mark
The ellipsis (/əˈlɪpsɪs/, plural ellipses; from Ancient Greek: ἔλλειψις, élleipsis, lit. 'leave out'), rendered ..., also known as suspension points, dots
Ellipsis
Topics referred to by the same term
Look up ellipses in Wiktionary, the free dictionary. Ellipses is the plural form of two different English words: Ellipse, a type of conic section in geometry
Ellipses
Park in Washington, D.C., U.S.
The Ellipse, sometimes referred to as President's Park South, is a 52-acre (21 ha) park south of the White House fence and north of Constitution Avenue
The_Ellipse
Topics referred to by the same term
Look up ellipse in Wiktionary, the free dictionary. In mathematics, an ellipse is a geometrical figure. Ellipse may also refer to: MacAdam ellipse, an area
Ellipse_(disambiguation)
Region of chromaticity diagram
the size and orientation of the ellipses on the diagram varied widely depending on the test color. These 25 ellipses measured by MacAdam, for a particular
MacAdam_ellipse
Term in geometry; longest and shortest semidiameters of an ellipse
the hyperbola. A parabola can be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily
Semi-major and semi-minor axes
Semi-major_and_semi-minor_axes
Distance between the centers of externally tangent objects
k_{2}} along major axes of both ellipses, and unit vector d {\displaystyle d} joining the centers of the two ellipses. Output: distance d {\displaystyle
Distance_of_closest_approach
Laws describing planetary orbits
vary accordingly. The three laws state that: The orbit of a planet is an ellipse with the Sun at one of the two foci. A line segment joining a planet and
Kepler's laws of planetary motion
Kepler's_laws_of_planetary_motion
Generalization of the ellipse to allow more than two foci
the n-ellipse is a generalization of the ellipse allowing more than two foci. n-ellipses go by numerous other names, including multifocal ellipse, polyellipse
N-ellipse
Avenue in Paris, France
The Avenue des Champs-Élysées (UK: /ˌʃɒ̃z eɪˈliːzeɪ, ɛ-/, US: /ʃɒ̃z ˌeɪliˈzeɪ/; French: [av(ə)ny de ʃɑ̃z‿elize] ; "Avenue of the Elysian Fields"), usually
Champs-Élysées
terms of integrals or series have been given for the perimeter of an ellipse. An ellipse is defined by two axes: the major axis (the longest diameter) of
Perimeter_of_an_ellipse
Circumellipse of a triangle whose center is the triangle's centroid
center is the centroid). Hence both ellipses are similar (have the same eccentricity). A Steiner ellipse is the only ellipse, whose center is the centroid S
Steiner_ellipse
Problem in object-oriented programming
example, the set of circles is a subset of the set of ellipses; circles can be defined as ellipses whose major and minor axes are the same length. Thus
Circle–ellipse_problem
Characteristic of conic sections
eccentricity defined for ellipses (see below). The eccentricity is also sometimes called the numerical eccentricity. In the case of ellipses and hyperbolas the
Eccentricity_(mathematics)
Ellipse on a spheroid centered on its origin
great ellipse is an ellipse passing through two points on a spheroid and having the same center as that of the spheroid. Equivalently, it is an ellipse on
Great_ellipse
Process of constructing a curve that has the best fit to a series of data points
extended to general ellipses by adding a non-linear step, resulting in a method that is fast, yet finds visually pleasing ellipses of arbitrary orientation
Curve_fitting
2019 Mathematics book
"Review of Finding Ellipses", MAA Reviews, Mathematical Association of America Zeytuncu, Yunus E. (October 2020), "Review of Finding Ellipses", Rezensionen
Finding_Ellipses
Perimeter of a circle or ellipse
Bruce (1988), "Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, π, and the Ladies Diary", American Mathematical Monthly, 95 (7): 585–608
Circumference
Narrative device
majority of films use ellipses to clear actions that add nothing to the narrative. Beyond these "convenience" ellipses, ellipses are also used to advance
Ellipsis_(narrative_device)
French animation production company
Ellipse Animation is a French entertainment group and animation production studio that is a subsidiary of media publishing and entertainment conglomerate
Ellipse_Animation
Topics referred to by the same term
Ellipse law could refer to: Stodola's cone law for turbines Kepler's first law, which states that objects orbiting a larger object move in an ellipse
Ellipse_Law
Bibcode:2021SoSyR..55...83K. doi:10.1134/S0038094621010056. ISSN 1608-3423. "Landing ellipses". The Planetary Society. Zhang, Yuan-Long; Chen, Ke-Jun; Liu, Lu-Hua; Tang
List of landing ellipses on extraterrestrial bodies
List_of_landing_ellipses_on_extraterrestrial_bodies
Conic sections with the same foci
foci. Because ellipses and hyperbolas have two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas
Confocal_conic_sections
Curve from a cone intersecting a plane
the ellipse, parabola, and hyperbola. The circle is a special kind of ellipse, although historically Apollonius considered it a fourth type. Ellipses arise
Conic_section
2009 studio album by Imogen Heap
Ellipse is the third studio album from British singer-songwriter Imogen Heap. After returning from a round the world writing trip, Heap completed the
Ellipse_(album)
Mixed martial arts event in 2026
expected to be 4,300. He also mentioned plans to install large screens at The Ellipse capable of hosting up to 85,000 spectators for a public viewing experience
UFC_Freedom_250
Characterization of distortion in map projections
indicatrix, one deals with ellipses of infinitesimal radius. Even though the radii of the original circle and its distortion ellipse will all be infinitesimal
Tissot's_indicatrix
Surface formed by rotating an ellipse
ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters. A spheroid has circular symmetry. If the ellipse
Spheroid
Geometric point from which certain types of curves are constructed
barycenter is well within the body of the Sun. Two binary stars also move in ellipses sharing a focus at their barycenter; for an animation, see here. A Cartesian
Focus_(geometry)
Polarization of electromagnetic radiation
radiation such that the tip of the electric field vector describes an ellipse in any fixed plane intersecting, and normal to, the direction of propagation
Elliptical_polarization
Class of quartic plane curves
orthogonally. For example, the orthogonal trajectories of a pencil of confocal ellipses are the confocal hyperbolas with the same foci. For Cassini ovals one has:
Cassini_oval
All points for which two tangents of a curve intersect at 90° angles
of a parabola is its directrix (proof: see below), The orthoptic of an ellipse x 2 a 2 + y 2 b 2 = 1 {\displaystyle {\tfrac {x^{2}}{a^{2}}}+{\tfrac {y^{2}}{b^{2}}}=1}
Orthoptic_(geometry)
In mathematics, a Hartshorne ellipse is an ellipse in the unit ball bounded by the 4-sphere S4 such that the ellipse and the circle given by intersection
Hartshorne_ellipse
2003 studio album by Bardo Pond
On the Ellipse is the sixth album by Bardo Pond and first for ATP Recordings. It was released on July 8, 2003. Heather Phares of Allmusic called the album
On_the_Ellipse
A golden ellipse is an ellipse in which the aspect ratio of its two semi-axes a {\displaystyle a} and b {\displaystyle b} corresponds to the golden ratio
Golden_ellipse
Type of dome with an ellipsoidal shape
an ellipse around the long axis of the ellipse; an oblate ellipsoidal dome is derived by rotating an ellipse around the short axis of the ellipse. Of
Ellipsoidal_dome
Iranian artist
function, Fibonacci sequence and the sawtooth wave. His artwork 9,000 Ellipses was used as the background cover image of The American Mathematical Monthly
Hamid_Naderi_Yeganeh
Statistic used in signal detection theory
bivariate normal distributions with unequal covariance matrices (ellipses are 1 sd error ellipses). Color-bar shows the relative contribution to the discriminability
Sensitivity_index
Curve generated by rolling a circle inside another circle with 4x or (4/3)x the radius
cubocycloid, and paracycle. It is nearly identical in form to the evolute of an ellipse. If the radius of the fixed circle is a then the equation is given by x
Astroid
Unique ellipse tangent to all 3 midpoints of a given triangle's sides
of a triangle is the scaled Steiner Ellipse with scaling factor 1/2 and the centroid as center. Hence both ellipses have the same eccentricity, are similar
Steiner_inellipse
Perpendicular diameters of a circle or hyperbolic-orthogonal diameters of a hyperbola
if they are perpendicular. For an ellipse, two diameters are conjugate if and only if the tangent line to the ellipse at an endpoint of one diameter is
Conjugate_diameters
Part of a line that is bounded by two distinct end points; line with two endpoints
segments congruent. A line segment can be viewed as a degenerate case of an ellipse, in which the semiminor axis goes to zero, the foci go to the endpoints
Line_segment
Kepler orbit with an eccentricity of less than one
not an explanatory term. For the simple two body problem, all orbits are ellipses. In a gravitational two-body problem, both bodies follow similar elliptical
Elliptic_orbit
Areas that have a higher-than-average level of criminal activity
time. The development of spatial and temporal analysis of crime ellipses, or STAC ellipses, started off as a program to determine a "hot circle" of crime
Crime_hotspots
Plane curve: conic section
two sheets Circle Ellipse Parabola Degenerate conic Elliptic coordinates, an orthogonal coordinate system based on families of ellipses and hyperbolas.
Hyperbola
of landing ellipses on extraterrestrial bodies Mars landing Moon landing Spaceflight portal Lakdawalla, Emily (13 May 2008). "Landing Ellipse". The Planetary
Landing_footprint
Geometric shell bounded by two concentric, similar ellipses or ellipsoids
homeoid is a shell (a bounded region) bounded by two concentric, similar ellipses (in 2D) or ellipsoids (in 3D). When the thickness of the shell becomes
Homoeoid_and_focaloid
French animation studio
Ellipse and Ellipse Programme) is a French animation studio that produces television programs and its part of entertainment production group Ellipse Animation
Ellipsanime
Method of detecting shapes within images
to index. Consider the task of finding ellipses in an 800x600 image. Assuming that the radii of the ellipses are oriented along principal axes, the parameter
Hough_transform
Size of a two-dimensional surface
Publ., pp. 379–380. Minda, D.; Phelps, S. (October 2008). "Triangles, ellipses, and cubic polynomials". American Mathematical Monthly. 115 (8): 679–689:
Area
Number, approximately 3.14
formulae in trigonometry and geometry, especially those concerning circles, ellipses and spheres. It is found as well in formulae from cosmology, fractals,
Pi
2011 studio album by Basement
Square" – 4:08 "Crickets Throw Their Voice" – 3:25 "Earl Grey" – 2:35 "Ellipses" – 3:40 "Every Single Word" – 1:57 "Yoke" – 2:26 "Grayscale" – 2:29 "March"
I_Wish_I_Could_Stay_Here
Measure of compression between circle to ellipse or sphere to an ellipsoid of revolution
e} is the eccentricity. Earth flattening Eccentricity (mathematics) § Ellipses Equatorial bulge Ovality Planetary flattening Sphericity Roundness (object)
Flattening
Dome who bottom cross section takes the form of an ellipse
an oval dome, is a dome whose bottom cross-section takes the form of an ellipse. Technically, an ellipsoidal dome has a circular cross-section, so is not
Elliptical_dome
Ancient Roman amphitheater in Rome
measured 545 meters (1,788 ft / 1,835 Roman feet). The central arena is an ellipse 87 m (287 ft) long and 55 m (180 ft) wide, surrounded by a wall 5 m (15 ft)
Colosseum
French geopolitical political scientist
latine, Paris, Ellipses, 2006. Géopolitique des religions. Le Dieu fragmenté, Paris, Ellipses, 2004. Géopolitique des Caucases, Paris, Ellipses, 2004. Services
François_Thual
Ellipse-drawing mechanism
resulting locus of C is still an ellipse. An ellipsograph is a trammel of Archimedes intended to draw, cut, or machine ellipses, e.g. in wood or other sheet
Ellipsograph
27 BC–476/1453 AD state and civilization
Gallic tongue, Hélix, Laurence (2011). Histoire de la langue française. Ellipses Edition Marketing S.A. p. 7. ISBN 978-2-7298-6470-5. Le déclin du Gaulois
Roman_Empire
King of Macedon from 336 to 323 BC
Michel; De Callatay. La monnaie grecque, "L'Antiquité : une histoire", Ellipse, 2001. pp. 117–119. BRIANT Pierre, Alexandre Le Grand, "Que sais-je ?"
Alexander_the_Great
Method for calculating extraction pressures of a multistage turbine
The Law of the Ellipse, or Stodola's cone law, is a method for calculating highly nonlinear dependence of extraction pressures with a flow for multistage
Stodola's_cone_law
Graphical depiction of system interactions
of diagrams as well. The use cases are represented by either circles or ellipses. The actors are often shown as stick figures. While a use case itself might
Use_case_diagram
Angle formed in the interior of a circle
lengths of their pieces are equal. Inscribed angle theorems exist for ellipses, hyperbolas and parabolas too. The essential differences are the measurements
Inscribed_angle
Addition of several numbers or other values
summation of long sequences may be represented with most summands replaced by ellipses. For example, summation of the first 100 natural numbers may be written
Summation
Shape with three sides
triangle's vertices and has its center at the triangle's centroid. Of all ellipses going through the triangle's vertices, it has the smallest area. The Kiepert
Triangle
Method of finding axes and veritces of an ellipse
obviously ellipses with unknown axes. But one recognizes in any case the images of two orthogonal diameters of the circles. These diameters of the ellipses are
Rytz's_construction
Family of closed mathematical curves
years later Donald Knuth would build the ability to choose between true ellipses and superellipses (both approximated by cubic splines) into his Computer
Superellipse
Trump continued to press false claims of election fraud at a rally on the Ellipse in Washington, D.C., a crowd of Trump supporters stormed the United States
2020 United States presidential election
2020_United_States_presidential_election
American homebuilt aircraft
The Explorer Ellipse is an American homebuilt aircraft that was designed by Dean Wilson and produced by Explorer Aviation of Grangeville, Idaho. When
Explorer_Ellipse
French hang glider
The Ellipse Zenith is a French high-wing, single-place, hang glider that was designed and produced by La société Ellipse of Étuz. The Zenith was designed
Ellipse_Zenith
American radio host (born 1974)
heiress who is a follower of InfoWars, to finance Trump's rally on the Ellipse, including $200,000 of the total amount deposited in one of Jones's bank
Alex_Jones
Straight line segment that passes through the centre of a circle
through the conic's centre. A diameter of an ellipse is any line passing through the centre of the ellipse. Half of any such diameter may be called a semidiameter
Diameter
plane can be thought of as a generalized ellipse. Generalized conics with three foci are called trifocal ellipses. This can be further generalized to curves
Generalized_conic
American businesswoman (born 1981)
before a crowd of supporters. Trump refused to address the rally at the Ellipse on January 6, 2021, but was in attendance. During the ensuing riot at the
Ivanka_Trump
2007 film by Ethan and Joel Coen
Coens "find a cinematic equivalent to McCarthy's language: his narrative ellipses, play with point of view, and structural concerns such as the exploration
No_Country_for_Old_Men
2nd-degree plane curve which is reducible
real point, ( 0 , 0 ) {\displaystyle (0,0)} , of the conic. The pencil of ellipses of equations a x 2 + b ( y 2 − 1 ) = 0 {\displaystyle ax^{2}+b(y^{2}-1)=0}
Degenerate_conic
Attribute of a geometric shape
super ultra-widescreen For an ellipse, the aspect ratio denotes the ratio of the major axis to the minor axis. An ellipse with an aspect ratio of 1:1 is
Aspect_ratio
Algebraic curve in mathematics
Further, the orthogonal trajectories of these ellipses comprise the elliptic curves with j ≤ 1, and any ellipse in H 2 {\displaystyle \mathbb {H} ^{2}} described
Elliptic_curve
1968 film by Stanley Kubrick
transformed at the other extreme of civilization, by one of those abrupt ellipses characteristic of the director, into a spacecraft on its way to the moon
2001:_A_Space_Odyssey
Residential skyscraper in Taiwan
The Ellipse 360 (Chinese: 天境360; pinyin: Tiānjìng 360) is a residential skyscraper located in Tamsui District, New Taipei, Taiwan. Construction began
Ellipse_360
French animated television series
was being handled at Ellipse Animation's Paris-based animation studio Ellipse Studio, its Angoulême-based production division Ellipse Studio Angoulême and
Belfort_&_Lupin
Form of literary device
is trying to emphasise or convey. Ellipses–Leaving out part of a sentence or an event by substituting it with ellipses is a stylistic element. It represents
Poetic_device
Second-largest city in Italy
village. The sanctuary, which consisted of a wooded area in the shape of an ellipse with a central clearing, was aligned according to precise astronomical
Milan
Diagram that shows all possible logical relations between a collection of sets
closed curves on a plane to represent sets. The curves are often circles or ellipses. Very similar ideas had been proposed before Venn such as by Christian
Venn_diagram
Diagram of tire forces in vehicle dynamics
The circle of forces, traction circle, friction circle, or friction ellipse is an illustration representing the dynamic interaction between a vehicle's
Circle_of_forces
Star at the centre of the Solar System
in a frame of reference rotating with the galaxy, the Sun moves in an ellipse, circulating around a point that is itself going around the galaxy. The
Sun
Vice President of the United States from 2021 to 2025
a "change". On October 30, Harris delivered a half-hour speech at the Ellipse in Washington, D.C., intended as a "closing argument" for her campaign
Kamala_Harris
Spheres tangent to a plane inside a cone
Apollonius. The first theorem is that a closed conic section (i.e. an ellipse) is the locus of points such that the sum of the distances to two fixed
Dandelin_spheres
Fourth planet from the Sun
Kepler deduced that the planet orbited the Sun not in a circle, but in an ellipse. Moreover, Kepler showed that Mars sped up as it approached the Sun and
Mars
Three linked but pairwise separated rings
are bound. Geometrically, the Borromean rings may be realized by linked ellipses, or (using the vertices of a regular icosahedron) by linked golden rectangles
Borromean_rings
Atmospheric effect caused by the solar wind
Horse-collar auroras (HCA) are auroral features in which the auroral ellipse shifts poleward during the dawn and dusk portions and the polar cap becomes
Aurora
French filmmaker (1901–1999)
notable contribution to the art of cinema; his non-professional actors, ellipses, and sparse use of scoring have led his works to be regarded as preeminent
Robert_Bresson
British musician (born 1977)
lack of "Hide and Seek" moment on Ellipse: Phares, Heather. "Ellipse Review". AllMusic. Retrieved 12 May 2025. Ellipse might not have a single moment as
Imogen_Heap
Russian cellist
Archived from the original on 26 February 2021. Retrieved 6 March 2021. "Ellipses". Mirare. 10 June 2022. Archived from the original on 15 August 2024. Retrieved
Anastasia_Kobekina
Austrian and Czech writer (1883–1924)
New York: Schocken (published 1968). pp. 141–145. Kafka's work is an ellipse with foci that are far apart and are determined, on the one hand, by mystical
Franz_Kafka
Multi-dimensional version of a confidence interval
interval. For a bivariate normal distribution, it is an ellipse, also known as the error ellipse. More generally, it is a set of points in an n-dimensional
Confidence_region
Life that does not originate on Earth
observations, but Johannes Kepler did: orbits were not perfect circles, but ellipses. This knowledge benefited the Copernican model, which worked now almost
Extraterrestrial_life
three steps: Fit ellipses with randomly selected points. Update the accumulator array and corresponding scores. Output the ellipses with scores higher
Randomized_Hough_transform
Canonical set of three elliptic integrals
second kind gives the arc length of an ellipse of unit semi-major axis and eccentricity k {\displaystyle k} (the ellipse being defined parametrically by x
Legendre_form
Long horizontal line punctuation mark
2018 at the Wayback Machine. Yin, Karen (31 May 2016). "Em Dashes and Ellipses: Closed or Spaced Out?". AP vs. Chicago. Archived from the original on
Dash
ELLIPSES
ELLIPSES
ELLIPSES
ELLIPSES
Boy/Male
Indian
Messenger, Prophet, Ambassador
Girl/Female
Bengali, Hindu, Indian, Sindhi, Telugu, Traditional
Familiar with the Vedas
Boy/Male
Hindu, Indian
For Luck
Boy/Male
Greek, Hindu, Indian, Spanish
Pure; Nice
Girl/Female
Indian
God of Parvathi
Boy/Male
Bengali, Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Tamil, Telugu
Who Attract in First Meeting; Lord Krishna
Girl/Female
Gujarati, Indian, Marathi
Golden Bodied
Boy/Male
Indian, Punjabi, Sikh
Light of King
Boy/Male
Hindu
Lord Krishna
Girl/Female
Tamil
With great desire and wish, Truth of life
ELLIPSES
ELLIPSES
ELLIPSES
ELLIPSES
ELLIPSES
pl.
of Ellipsis
a.
Not having the same center; -- said of circles, ellipses, spheres, etc., which, though coinciding, either in whole or in part, as to area or volume, have not the same center; -- opposed to concentric.
n.
An instrument for describing ellipses; -- called also trammel.
n.
An instrument for drawing ellipses, one part of which consists of a cross with two grooves at right angles to each other, the other being a beam carrying two pins (which slide in those grooves), and also the describing pencil.
n.
A solid, all plane sections of which are ellipses or circles. See Conoid, n., 2 (a).