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ovoid

 
Dictionary: o·void   (ō'void') pronunciation also o·voi·dal
(ō-void'l)
adj.
Shaped like an egg; ovate.

n.
Something that is shaped like an egg.


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Thesaurus: ovoid
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adjective

    Resembling an egg in shape: oval, ovate, oviform, ovoidal. See geometry.

Having the oval shape of an egg.

  • o. body — colloid body.
Word Tutor: ovoid
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pronunciation

IN BRIEF: n. - An egg-shaped object adj. - Rounded like an egg.

Tutor's tip: It's silly to "avoid" (evase, shun) arenas just because they are "ovoid" (egg-shaped) structures.

Wikipedia: Ovoid (projective geometry)
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In PG(3,q), with q a prime power, an ovoid is a set of q2 + 1 points, no three of which collinear.

An important example of an ovoid in any finite projective three-dimensional space are the q2 + 1 points of an elliptic quadric (all of these are projectively equivalent).

When q is odd, no other ovoids can be found than the elliptic quadrics.

When q = 22h + 1 another type of ovoid can be constructed : the Tits ovoid or also the Suzuki ovoid. It is conjectured that no other ovoids exist in PG(3,q).

Through every point p on the ovoid, there are exactly q + 1 tangents, and it can be proven that these lines are exactly the lines through p in one specific plane through p. This means that through every point p in the ovoid, there is a unique plane intersecting the ovoid in exactly one point.

See also


Translations: Ovoid
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Dansk (Danish)
adj. - ægformet
n. - ægformet genstand, ægbriket

Nederlands (Dutch)
eivormig, alles met een eivorm

Français (French)
adj. - ovoïde
n. - ovoïde

Deutsch (German)
adj. - eiförmig
n. - eiförmiger Körper

Ελληνική (Greek)
adj. - ωοειδής
n. - ωοειδές

Italiano (Italian)
ovoidale, ovoide

Português (Portuguese)
adj. - ovóide
n. - ovóide (m)

Русский (Russian)
яйцевидный, предмет яйцеобразной формы

Español (Spanish)
adj. - ovoide
n. - artículo de forma ovoide

Svenska (Swedish)
adj. - äggformig
n. - ngt äggformigt

中文(简体)(Chinese (Simplified))
卵形的, 卵形体

中文(繁體)(Chinese (Traditional))
adj. - 卵形的
n. - 卵形體

한국어 (Korean)
adj. - 알 모양의
n. - 알 모양의 것

日本語 (Japanese)
n. - 卵形体
adj. - 卵形の

العربيه (Arabic)
‏(صفه) بيضي الشكل (الاسم) جسم بيضي الشكل‏

עברית (Hebrew)
adj. - ‮דמוי-ביצה, ביצתי‬
n. - ‮גוף או צורה דמויי-ביצה‬


Best of the Web: ovoid
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Some good "ovoid" pages on the web:


Math
mathworld.wolfram.com
 
 
 
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pineapple
oviform
spoon

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Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved.  Read more
Thesaurus. Roget's II: The New Thesaurus, Third Edition by the Editors of the American Heritage® Dictionary Copyright © 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.  Read more
Veterinary Dictionary. Saunders Comprehensive Veterinary Dictionary 3rd Edition. Copyright © 2007 by D.C. Blood, V.P. Studdert and C.C. Gay, Elsevier. All rights reserved.  Read more
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Wikipedia. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article "Ovoid (projective geometry)" Read more
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