Dictionary:
o·void (ō'void') also o·voi·dal
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| Thesaurus: ovoid |
| Veterinary Dictionary: ovoid |
Having the oval shape of an egg.
| Word Tutor: ovoid |
| Wikipedia: Ovoid (projective geometry) |
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.
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| Translations: Ovoid |
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
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| Best of the Web: ovoid |
Some good "ovoid" pages on the web:
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Copyrights:
![]() | 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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