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 section 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 circle may be considered an ellipse of eccentricity zero, i.e., one in which the center and the two foci all coincide.

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The Columbia Encyclopedia, Sixth Edition Copyright© 2004, Columbia University Press. Licensed from Lernout & Hauspie Speech Products N.V. All rights reserved.

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Questia Books and Articles on: Ellipse
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books on: Ellipse  - 2042 results

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ELLIPSE OF UNCERTAINTY Recent Titles in Contributions to the...Contemporary Women Writers of Fantasy Charlotte Spivack Ellipse of Uncertainty AN INTRODUCTION TO POSTMODERN FANTASY...Cataloging-in-Publication Data Olsen, Lance, 1956- Ellipse of uncertainty. Contributions to the study of science...
...three remarkable curves, the parabola, ellipse, and hyperbola. Before Apollonius, Greek...used to generate the conic sections: the ellipse, parabola, and hyperbola. We can now...circle is really a special case of an ellipse. Next we generate a standard ellipse by...
...profound. It is of a piece with Tycho and Kepler seeing different things at dawn. It is like Keplers use of the same ellipse first as a mathematical tool and later as a physical hypo thesis: the conceptual difference between these was enormous. 4...
...early "method of exhaustions." See Ellipse, Parallelogram , etc., for areas of particular...Auxiliary Circle Of an hyperbola ellipse , the circle with radius equal to half...figure as in the "major axis" of an ellipse . See Cylinder, Ellipse , etc., for axes...
...284 13-5 Finding a curve from its equation 289 13-6 The ellipse 291 13-7 The equations of surfaces 293 13-8 Four-dimensional...
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journal articles on: Ellipse  - 249 results

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Clarifying the standard deviational ellipse. by Jianxin Gong For a set of geographical...curve, often referred to as "standard deviational ellipse" (SDE), is not in fact an ellipse. The actual shape of the curve has remained unclear...
Ellipse et reduplication: lobsession du vide chez Patrick Modiano...de reconstitution dans le but de faire disparaitre ces ellipses, a la fois chronologiques et psychologiques. Deux processus...sa fonction de createur en faconnant maintes fois une ellipse situationnelle dont les pretendus efforts pour la combler...
...assuming that deforming a circle into an ellipse with the same circumference does not...loop, so that the circle deforms into an ellipse; as the top and bottom are squeezed together...circle was unchanged when deformed into an ellipse. In the standard Piagetian conservation...
...positive solutions (i.e., circles or ellipses) for each cluster in the data set. This...improvements are: (i) switching from circles to ellipses, (ii) introducing mechanisms to prevent...adding the ability to introduce random ellipses into each generation, and (v) developing...
...children to discriminate circles from ellipses. One method was a well-validated stimulus...1966, 1967; see baseline training and ellipse fading program, below). The other methods...in our previous studies with the circle-ellipse program. Method Subjects Fifty-nine...
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magazine articles on: Ellipse  - 110 results

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...work inaugurated with his first Torqued Ellipses nearly a decade ago. For the occasion...Guggenheim Bilbao, stems from the Torqued Ellipses begun in 1996. Can you talk about the...RICHARD SERRA: When I began the Torqued Ellipses, I was concerned less with making one...
...as well as a large demonstration on the Ellipse behind the White House, captured the attention...Bank policies. The demonstrators at the Ellipse heard from activists confronting IMF and...entirety of the April 16 demonstration on the Ellipse. By the time of the protests, the IMF...
...Richard Serra Richard Serra, Torqued Ellipses, 1996-97. Cor-Ten Steel. Installation view from "Torqued Ellipses," Dia Center for the Arts, New York...is rust, and the third, Double Torqued Ellipse, which you see here in the foreground...
...One Physics Ellipse...renewable One Physics Ellipse $3,000, one-time...seniors or college One Physics Ellipse freshmen and sophomores...
...One Physics Ellipse...000, one-time One Physics Ellipse renewable...citizen or permanent One Physics Ellipse resident who is majoring...
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newspaper articles on: Ellipse  - 287 results

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Ellipse photo exhibit chronicles the attack Byline: Patrick...WASHINGTON TIMES Construction worker Art Parry paused on the Ellipse yesterday and stared up in disbelief at the image projected...Photographs." A portion of the exhibit will be on display at the Ellipse from 7 a.m. to 10 p.m. until Thursday. Organizers of...
`Hate crime probed: Muslim symbol on Ellipse painted with swastika by Stephen Dinan Mohamed Said Ouafi came to the Ellipse Friday night hoping to show his friend...the Muslim symbol had appeared on the Ellipse during the holiday season. Instead the...
THE ELLIPSE AT GOVERNMENT CENTER by Amy Hutchinson...days. AGE: 7 years old SPECIALS: The Ellipse offers one months free rent on a two-bedroom...parking is also available. AMENITIES: The Ellipse provides a 24-hour health club with sauna...
Snow, Wind Hamper Concert on Ellipse; but Not Too Cold to Celebrate...Bushs re-election at a concert on the Ellipse amid tight security. "No night is...Those who attended the concert on the Ellipse had to walk several blocks to the...
Ellipse opens its closet to show clothes as art by Joanna...sculpture" by Sha Sha Higby dominates one wall at Arlingtons Ellipse Art Center. Titled "Passage Into a Paper Sea," it is the...such an honor was given to an arts organization. WHERE: Ellipse Arts Center, 4350 N. Fairfax Drive, Arlington WHEN...
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encyclopedia articles on: Ellipse  - 12 results

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ELLIPSE closed plane curve consisting of all points for which...elements of the cone in the same nappe. The center of an ellipse is the point halfway between its foci. The major axis is...of the major axis with the curve. The eccentricity of an ellipse, a ratio of two lengths, is a measure of its flatness...
...the shape of each planets orbit is an ellipse with the sun at one focus. The sun is thus off-center in the ellipse and the planets distance from the sun...from the sun (the semimajor axis of the ellipse) and the time to complete one revolution...
...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 . When the plane passes through the vertex of the cone, the result is a point, a straight...
...work, much of the work of his predecessors, among whom was Euclid. Apollonius introduced the terms parabola, hyperbola, and ellipse. In his works Greek mathematics reached its culmination. ____________________ Copyright 2009 Columbia University Press...
...surfaces one above and one below the vertex called nappes. If the directing curve is a conic section (e.g., a circle or ellipse) the cone is called a quadric cone. The most common type of cone is the right circular cone, a quadric cone in which the directrix...
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