翻訳と辞書
Words near each other
・ Prokon
・ Prokootenia
・ Prokop
・ Prokop Diviš
・ Prokop František Šedivý
・ Prokop Murra
・ Prokop railway station
・ Prokop Sieniawski
・ Prokop Sieniawski (d. 1627)
・ Prokop the Great
・ Prokop valley
・ Prokopenko
・ Prokopia
・ Prokopije Čokorilo
・ Prokopios Lazaridis
Projective cone
・ Projective connection
・ Projective cover
・ Projective differential geometry
・ Projective frame
・ Projective geometry
・ Projective group (disambiguation)
・ Projective harmonic conjugate
・ Projective hierarchy
・ Projective Hilbert space
・ Projective identification
・ Projective line
・ Projective line over a ring
・ Projective linear group
・ Projective module


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Projective cone : ウィキペディア英語版
Projective cone

A projective cone (or just cone) in projective geometry is the union of all lines that intersect a projective subspace ''R'' (the apex of the cone) and an arbitrary subset ''A'' (the basis) of some other subspace ''S'', disjoint from ''R''.
In the special case that ''R'' is a single point, ''S'' is a plane, and ''A'' is a conic section on ''S'', the projective cone is a conical surface; hence the name.
==Definition==

Let ''X'' be a projective space over some field ''K'', and ''R'', ''S'' be disjoint subspaces of ''X''. Let ''A'' be an arbitrary subset of ''S''. Then we define ''RA'', the cone with top ''R'' and basis ''A'', as follows :
* When ''A'' is empty, ''RA'' = ''A''.
* When ''A'' is not empty, ''RA'' consists of all those points on a line connecting a point on ''R'' and a point on ''A''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Projective cone」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.