In literature:
The earth's orbit is an ellipse, one of the foci of which is occupied by the sun.
"Fragments of science, V. 1-2" by John Tyndall
In the same way, by reversing the motion, the other half of the ellipse may be completed.
"Aether and Gravitation" by William George Hooper
Its orbit is not a circle; it is an ellipse, but not very far removed from the circular path.
"Harper's New Monthly Magazine, Vol. 3, July, 1851" by Various
For the Indians were riding on in the ellipse, and another man fitted an arrow to his bowstring, and as he rode by loosed it off.
"The Peril Finders" by George Manville Fenn
The cells in the Tombs are arranged in rows in the form of an ellipse in the centre of each of the six floors.
"The Third Degree" by Charles Klein and Arthur Hornblow
Such oval figures, it will be remembered, are technically known as ellipses.
"Astronomy of To-day" by Cecil G. Dolmage
Kepler, replaced them all by a simple ellipse.
"Pioneers of Science" by Oliver Lodge
It isn't a parabola and it isn't an ellipse.
"Astounding Stories of Super-Science, March 1930" by Various
As for the alleged instances of ellipses, I maintain they are not analogous.
"Notes and Queries, Number 218, December 31, 1853" by Various
Within these was the inner ellipse of nineteen obelisks surrounding the altar-stone.
"England, Picturesque and Descriptive" by Joel Cook
Evidently, then, it is not safe to class it as a parabola because of inability to detect the elements of an ellipse.
"Essays: Scientific, Political, & Speculative, Vol. I" by Herbert Spencer
You know what an ellipse is?
"The Vast Abyss" by George Manville Fenn
The high ellipse, I believe, exists in eastern architecture.
"The Stones of Venice, Volume I (of 3)" by John Ruskin
It is said that he was the first to introduce the words ellipse and hyperbola.
"History of the Intellectual Development of Europe, Volume I (of 2)" by John William Draper
The ellipse here stands for the brain.
"Psychology" by Robert S. Woodworth
An ellipse is a curve, returning into itself, one of whose diameters is longer than the other.
"Eureka:" by Edgar A. Poe
This was an oval building, the axis of its inner ellipse measuring two hundred and forty feet.
"The Scarlet Banner" by Felix Dahn
Our novelists openly discuss every feature of social life, politics, religion, but they cast over sex a thick veil of ellipse and metaphor.
"A Novelist on Novels" by W. L. George
This lake, or rather morass, is in the shape of an irregular ellipse running south-west and north-east.
"The Life of Yakoob Beg" by Demetrius Boulger
This circle, projected in perspective as an ellipse, is shown in the figure.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7" by Various
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In poetry:
The orb that rolls in dim eclipse
Wide wheeling round its long ellipse,--
His name Urania writes with these
And stamps it on her Pleiades.
"Benjamin Peirce" by Oliver Wendell Holmes
In news:
On July 30, 2011, thousands of public school teachers rallied on the southwest corner of the Ellipse, near the White House.
Winnebago Industries has introduced the 42JD floor plan to its lineup of 2012 Itasca Ellipse type A motorhomes.
The Ellipse 42JD is built on a Maxum chassis and is equipped with three slideouts, including a full-wall slide on the street side.
Kansas City-based Xikar has released its new Ellipse II lighter, a second generation and step up from the original design.
A lighting ceremony took place for the National Hanukkah Menorah, the world's largest, on the Ellipse, just across from the White House on the second night (first day) of the eight-day Jewish holiday.
President Obama will preside over an evening festival of star-studded carols and sparkling displays of holiday cheer on the White House Ellipse.
With a little help from Jason Mraz, Colbie Caillat, The Fray, James Taylor and a few other artists, President Obama lit the new National Christmas Tree Thursday night on the Ellipse in Washington, DC, continuing 90 years of holiday tradition.
President Obama is joined by his daughter Malia and first lady as they watch the show at official lighting of National Christmas Tree ceremony on Ellipse in Washington ( Larry Downing, Reuters ).
President Obama is joined by his daughter Malia and first lady as they watch the show at official lighting of National Christmas Tree ceremony on Ellipse in Washington.
First lady Michelle Obama (R) and their daughters Malia (C) and Sasha Obama light the 90th National Christmas Tree during the Lighting Ceremony on the Ellipse behind the White House on December 6, 2012 in Washington, DC.
The National Menorah sits in the Ellipse just south of the White House.
9, 2010: The National Christmas Tree is shown at the Ellipse across from the White House in Washington.
Johns Hopkins University will be the beneficiary of a pedestrian-friendly "ellipse" in front of the Homewood campus entrance, giving the street the feel and look of a plaza.
Ellipses Are A Red Flag .
The other day, all of us DJ's received an e-mail with blogging guidelines per corporate and they BANNED ellipses.
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In science:
Now let C be one of the inscribed osculating ellipses and denote its aﬃne curvature by κ.
Sextactic points on a simple closed curve
An inscribed ellipse is said to be maximal if it is not strictly contained in any other inscribed ellipse.
Sextactic points on a simple closed curve
Let Γp,q be the one dimensional family of ellipses that is tangential to γ in p and q .
Sextactic points on a simple closed curve
Since pq meets γ transversally in p and q, we have inscribed ellipses in the family.
Sextactic points on a simple closed curve
We can also deﬁne the maximal inscribed ellipse C • p,q when p = q .
Sextactic points on a simple closed curve
No ellipse in Γp,p can cross γ in p except possibly the osculating ellipse.
Sextactic points on a simple closed curve
In that same direction after passing the osculating ellipse, the ellipses lie locally around p inside of γ .
Sextactic points on a simple closed curve
Hence we have inscribed ellipses in the family.
Sextactic points on a simple closed curve
Assume that C is an ellipse that meets γ in a point p with multiplicity two.
Sextactic points on a simple closed curve
Then C and γ do not cross in p and there is another ellipse C ′ tangent to γ in p and containing C which locally around p lies between γ and C .
Sextactic points on a simple closed curve
We will also discuss the relation between the equilibrium measure for the Krawtchouk ensemble and the arctic ellipse.
Non-intersecting Paths, Random Tilings and Random Matrices
In this problem we will not compute the detailed asymptotics, but we will discuss the equilibrium measure for the Hahn ensemble and its relation to the arctic ellipse phenomenon.
Non-intersecting Paths, Random Tilings and Random Matrices
The large deviation formulas, which imply the convergence in probability to the ellipse, follow from theorem 2.2 in .
Non-intersecting Paths, Random Tilings and Random Matrices
We will now compute (a part of ) the arctic ellipse.
Non-intersecting Paths, Random Tilings and Random Matrices
We can now formulate the result we obtain for the arctic ellipse.
Non-intersecting Paths, Random Tilings and Random Matrices
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