Ellipsoid

Definitions: Ellipsoid

Ellipsoid

Adjective

1. In the form of an ellipse.

Noun

1. A surface whose plane sections are all ellipses or circles; "the Earth is an ellipsoid".

Date "ellipsoid" was first used in popular English literature: sometime before 1844. (references)

Specialty Definitions: Ellipsoid

Domain	Definitions
Aerospace	A surface whose plane sections (cross sections) are all ellipses or circles, or the solid enclosed by such a surface. Also called ellipsoid of revolution, spheroid. (references)
Geography	That figure of the earth that most nearly fits the geoid as a whole. Source: European Union. (references)
Source: compiled by the editor from various references; see credits.

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Specialty Definition: Ellipsoid

(From Wikipedia, the free Encyclopedia)

In mathematics, an ellipsoid is a type of quadric that is a higher dimensional analogue of an ellipse. The equation of a standard ellipsoid in an x-y-z Cartesian coordinate system is

where a, b and c are fixed positive real numbers determining the shape of the ellipsoid. If two of those numbers are equal, the ellipsoid is a spheroid; if all three are equal, we have a sphere.

If one applies an invertible linear transformation to a sphere, one obtains an ellipsoid; it can be brought into the above standard form by a suitable rotation, a consequence of the spectral theorem.

The intersection of an ellipsoid with a plane is empty, a single point or an ellipse.

One can also define ellipsoids in higher dimensions, as the images of spheres under invertible linear transformations. The spectral theorem can again be used to obtain a standard equation akin to the one given above.

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Ellipsoid."

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Synonyms: Ellipsoid

Synonyms: ellipsoidal (adj), non-circular (adj), spheroidal (adj). (additional references)

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Synonyms within Context: Ellipsoid

Context	Synonyms within Context (source: adapted from Roget's Thesaurus).
Circularity	Ellipse, oval, ovule; ellipsoid, cycloid; epicycloid, epicycle; semicircle; quadrant, sextant, sector.
Rotundity	Sphere, globe, ball, boulder, bowlder; spheroid, ellipsoid; oblong spheroid; oblate spheroid, prolate spheroid; drop, spherule, globule, vesicle, bulb, bullet, pellet, pelote, clew, pill, marble, pea, knob, pommel, horn; knot (convolution).
Source: adapted from Roget's Thesaurus.

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Crosswords: Ellipsoid

English words defined with "ellipsoid": American barberry ♦ Berberis canadensis ♦ Deviation of the line of the vertical ♦ Ellipsoid of revolution ♦ major axis, minor axis ♦ Oblate ellipsoid, Oblongum ♦ Principal axes of a quadric, Principal of a quadric, Prolate ellipsoid, Prolatum ♦ Surface of elasticity ♦ torulose. (references)

Specialty definitions using "ellipsoid": flow roll ♦ geodetic coordinates, geoid ♦ International Ellipsoid of 1930 ♦ NAD27, NAD83 ♦ oblate spheroid ♦ principal axis of strain, prolate spheroid ♦ reciprocal strain ellipsoid, reference ellipsoid. (references)

Non-English Usage: "Ellipsoid" is also a word in the following language with the English translation in parentheses.

German (ellipsoid).

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Commercial Usage: Ellipsoid

Domain	Title
Books	Ellipsoidal Corrections to Potential Coefficients Obtained from Gravity Anomaly Data on the Ellipsoid (Reports of the Department of Geodetic Science) (reference) (more book examples)
Source: compiled by the editor from various references; see credits.

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Image Slideshow: Ellipsoid

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Photo Album: Ellipsoid

Thumbnail	Description & Credit	Thumbnail	Description & Credit
	"Ellipsoid Smush" (movie) by Joe Seale. Use DPGraph's Scrollbar to vary A. Click on Edit inside DPGraph for more info.		"Ellipsoid Stretch" (movie) by Joe Seale. Click on Edit inside DPGraph for more info.
	"Ellipsoid Pulsate" (movie) by Joe Seale. There is also a hi-res version. Click on Edit inside DPGraph for more info.		"Carved Ellipsoid" by Hassan Sedaghat.
Source: compiled by the editor from various references; see credits.

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Usage Frequency: Ellipsoid

"Ellipsoid" is generally used as a noun (singular) -- approximately 71.43% of the time. "Ellipsoid" is used about 7 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted)

Parts of Speech	Percent	Usage per 100 Million Words	Rank in English
Noun (singular)	71.43%	5	157,705
Adjective (general or positive)	28.57%	2	245,945
Total	100.00%	7	N/A

Source: compiled by the editor from several corpora; see credits.

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Expressions: Ellipsoid

Expressions using "ellipsoid": Ellipsoid of revolution ♦ oblate ellipsoid ♦ prolate ellipsoid. Additional references.
Source: compiled by the editor from various references; see credits.

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Frequency of Internet Keywords: Ellipsoid

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.

Expression	Frequency per Day
ellipsoid	15
ellipsoid volume	6
ellipsoid motion	4
ellipsoid manipulator redundant	3
e34 ellipsoid	3
arms ellipsoid	3
area ellipsoid	3
Source: compiled by the editor from various references; see credits.

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Modern Translations: Ellipsoid

Language		Translations for "ellipsoid"; alternative meanings/domain in parentheses.
Chinese		椭球. (various references)

Danish		ellipsoide (spheroid). (various references)

Dutch		ellipsoïde. (various references)

Finnish		ellipsoidi. (various references)

French		ellipsoide. (various references)

German		Ellipsoid. (various references)

Greek		ελλειψοειδές. (various references)

Indonesian		elipsoide. (various references)

Italian		elissoide. (various references)

Manx		eelipsoyd. (various references)

Pig Latin		ellipsoiday

Portuguese		elipsoide. (various references)

Russian		эллипсоид. (various references)

Spanish		elipsoide. (various references)

Thai		รูปทรงเรขาค�"ิตที่มีลักษ�"ะเป็นรูปกลมรีเหมือนไข่, ซึ่งมีลักษ�"ะเป็นรูปกลมรีเหมือนไข่. (various references)
Source: compiled by the editor from various translation references.

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Derivations & Misspellings: Ellipsoid

Derivations
	Words beginning with "ellipsoid": ellipsoidal, ellipsoids. (additional references)
Misspellings
	"Ellipsoid" is suggested in spellcheckers for the following: Eldisogi, elipso, ellipso, meliponid. (additional references)
Source: compiled by the editor, based on several corpora (additional references).

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Anagrams: Ellipsoid

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "d-e-i-i-l-l-o-p-s"
	-1 letter: ploidies.
	-2 letters: despoil, dillies, diploes, dipoles, doilies, dollies, idolise, lipides, lipoids, spilled, spoiled.
	-3 letters: diploe, dipole, dispel, iodise, lilied, lilies, lipide, lipids, lipoid, lisped, oldies, pilled, pilose, poised, poleis, polies, polled, siloed, sliped, sloped, soiled, solidi, spiled.
	-4 letters: deils, delis, dells, dills, diols, dipso, doles, dolls, dopes, eidos, idles, idols, isled, lidos, lipid, lisle, lodes, loped, lopes, losel, oiled, oldie, piled, pilei, piles, pilis, pills, plied, plies, plods, poise, poled, poles, polis, polls, posed, sidle, siped, slide, slipe, sloid, slope, soldi, soled, solei, solid, speil, spell, spied, spiel, spile, spill, spode, spoil.
	-5 letters: deil, deli, dell, dels, diel, dies, dill, diol, dips, does, dole, doll, dols, dope, dose, elds, ells, epos, ides, idle, idol, ills, isle, leis, lido, lids, lied, lies, lipe, lips, lisp, lode, lope, lops, lose, odes, oils, olds, oles, oped, opes, peds, peso, pied, pies, pile, pili, pill, piso, pled, plie, plod, pods, pois, pole, poll, pols, pose, sell, side, sild, sill, silo, sipe, sled, slid, slip, sloe, slop, soil, sold, sole, soli, sped.
	Words containing the letters "d-e-i-i-l-l-o-p-s"
	+1 letter: ellipsoids.
	+2 letters: ellipsoidal, lepidolites, lyophilised.
	+3 letters: episodically, polyploidies.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.