翻訳と辞書
Words near each other
・ Vertentes
・ Vertentes do Lério
・ Vertep
・ Vertep (Serbian)
・ Verteporfin
・ Verterae
・ Vertes
・ Verteuil-d'Agenais
・ Verteuil-sur-Charente
・ Vertex
・ Vertex (album)
・ Vertex (anatomy)
・ Vertex (band)
・ Vertex (company)
・ Vertex (computer graphics)
Vertex (curve)
・ Vertex (geometry)
・ Vertex (graph theory)
・ Vertex angle
・ Vertex arrangement
・ Vertex Buffer Object
・ Vertex configuration
・ Vertex cover
・ Vertex cycle cover
・ Vertex distance
・ Vertex enumeration problem
・ Vertex figure
・ Vertex function
・ Vertex Group
・ Vertex Inc


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

Vertex (curve) : ウィキペディア英語版
Vertex (curve)

In the geometry of planar curves, a vertex is a point of where the first derivative of curvature is zero.〔, p. 570; , p. 126.〕 This is typically a local maximum or minimum of curvature,〔 and some authors define a vertex to be more specifically a local extreme point of curvature.〔, p. 141.〕 However, other special cases may occur, for instance when the second derivative is also zero, or when the curvature is constant. For space curves, on the other hand, a vertex is a point where the torsion vanishes.
==Examples==
A hyperbola has two vertices, one on each branch; they are the closest of any two points lying on opposite branches of the hyperbola, and they lie on the principal axis. On a parabola, the sole vertex lies on the axis of symmetry.〔, p. 127.〕 On an ellipse, two of the four vertices lie on the major axis and two lie on the minor axis.〔, p. 570; , p. 127.〕
For a circle, which has constant curvature, every point is a vertex.

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「Vertex (curve)」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.