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ellipse

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el⋅lipse

[i-lips]
–noun Geometry.
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 axis and the surface of the cone. Typical equation: (x2/a2) + (y2/b2) = 1. If a = b the ellipse is a circle.


Origin:
1745–55; < F < L ellīpsis ellipsis; or by back formation from the pl. ellipses
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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el·lipse   (ĭ-lĭps')   


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n.  
  1. A plane curve, especially:

    1. A conic section whose plane is not parallel to the axis, base, or generatrix of the intersected cone.

    2. The locus of points for which the sum of the distances from each point to two fixed points is equal.

  2. Ellipsis.


[French, from Latin ellīpsis, from Greek elleipsis, a falling short, ellipse, from elleipein, to fall short (from the relationship between the line joining the vertices of a conic and the line through the focus and parallel to the directrix of a conic) : en-, in; see en-2 + leipein, to leave; see leikw- in Indo-European roots.]
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Cultural Dictionary

ellipse [(i-lips)]

In geometry, a curve traced out by a point that is required to move so that the sum of its distances from two fixed points (called foci) remains constant. If the foci are identical with each other, the ellipse is a circle; if the two foci are distinct from each other, the ellipse looks like a squashed or elongated circle.

Note: The orbits of the planets and of many comets are ellipses.
The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Word Origin & History

ellipse 
1656 (implied in ellpitical), from Fr. ellipse, from L. ellipsis "ellipse," also, "a falling short, deficit," from Gk. elleipsis (see ellipse), because the conic section of the cutting plane makes a smaller angle with the base than does the side of the cone, hence, a "falling short." First applied by Apollonius of Perga (3c. B.C.E.).
Online Etymology Dictionary, © 2001 Douglas Harper
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