Definitions for ellipsoid
ɪˈlɪp sɔɪdel·lip·soid

Princeton's WordNetRate this definition:1.0 / 1 vote

1. ellipsoidadjective

   a surface whose plane sections are all ellipses or circles

   "the Earth is an ellipsoid"

2. ellipsoid, ellipsoidal, spheroidaladjective

   having the nature or shape of an ellipsoid

WiktionaryRate this definition:0.0 / 0 votes

1. ellipsoidnoun

   a surface, all of whose cross sections are elliptic or circular (includes the sphere)

2. ellipsoidnoun

   Such a surface used as a model of the shape of the earth.

   Here the geoid is thirty meters below the ellipsoid.

3. ellipsoidadjective

   of or pertaining to an ellipse; ellipsoidal

4. ellipsoidadjective

   Shaped like an ellipse; elliptical.

5. ellipsoidadjective

   Shaped like a symmetrical oval that is evenly tapered on both ends.

WikipediaRate this definition:0.0 / 0 votes

1. Ellipsoid

   An ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric surface;  that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces, an ellipsoid is characterized by either of the two following properties. Every planar cross section is either an ellipse, or is empty, or is reduced to a single point (this explains the name, meaning "ellipse-like"). It is bounded, which means that it may be enclosed in a sufficiently large sphere. An ellipsoid has three pairwise perpendicular axes of symmetry which intersect at a center of symmetry, called the center of the ellipsoid. The line segments that are delimited on the axes of symmetry by the ellipsoid are called the principal axes, or simply axes of the ellipsoid. If the three axes have different lengths, the figure is a triaxial ellipsoid (rarely scalene ellipsoid), and the axes are uniquely defined. If two of the axes have the same length, then the ellipsoid is an ellipsoid of revolution, also called a spheroid. In this case, the ellipsoid is invariant under a rotation around the third axis, and there are thus infinitely many ways of choosing the two perpendicular axes of the same length. If the third axis is shorter, the ellipsoid is an oblate spheroid; if it is longer, it is a prolate spheroid. If the three axes have the same length, the ellipsoid is a sphere.

ChatGPTRate this definition:0.0 / 0 votes

1. ellipsoid

   An ellipsoid is a three-dimensional geometric shape, a surface, all of whose cross sections are either ellipses or circles. It is a generalization of a sphere, which is a special type of ellipsoid where all three of its principal axes are equal in length. They are described mathematically by quadratic equations in three variables. In everyday terms, common examples of ellipsoids include objects like footballs or the Earth, which is an oblate spheroid, a type of ellipsoid.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Ellipsoidnoun

   a solid, all plane sections of which are ellipses or circles. See Conoid, n., 2 (a)

2. Ellipsoidadjective

   alt. of Ellipsoidal

3. Etymology: [Ellipse + -oid: cf. F. ellipsoide.]

WikidataRate this definition:0.0 / 0 votes

1. Ellipsoid

   An ellipsoid is a closed quadric surface that is a three dimensional analogue of an ellipse. The standard equation of an ellipsoid centered at the origin of a Cartesian coordinate system and aligned with the axes is The points, and lie on the surface and the line segments from the origin to these points are called the semi-principal axes of length a, b, c. They correspond to the semi-major axis and semi-minor axis of the appropriate ellipses. There are four distinct cases of which one is degenerate: ⁕ — tri-axial or scalene ellipsoid; ⁕ — oblate ellipsoid of revolution; ⁕ — prolate ellipsoid of revolution; ⁕ — the degenerate case of a sphere; Mathematical literature often uses 'ellipsoid' in place of 'tri-axial ellipsoid'. Scientific literature often uses 'ellipsoid' in place of 'ellipsoid of revolution' and only applies the adjective 'tri-axial' when treating the general case. Older literature uses 'spheroid' in place of 'ellipsoid of revolution'. Any planar cross section passing through the center of an ellipsoid forms an ellipse on its surface: this degenerates to a circle for sections normal to the symmetry axis of an ellipsoid of revolution

How to pronounce ellipsoid?

1. Alex

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   Mark

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   Daniel

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   Libby

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   Mia

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How to say ellipsoid in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of ellipsoid in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of ellipsoid in Pythagorean Numerology is: 2

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=ellipsoid
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Ellipsoid
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Ellipsoid
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/ellipsoid
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=ellipsoid