翻訳と辞書
Words near each other
・ Surface mail
・ Surface map
・ Surface marker buoy
・ Surface metrology
・ Surface micromachining
・ Surface mining
・ Surface Mining Control and Reclamation Act of 1977
・ Surface modification
・ Surface modification of biomaterials with proteins
・ Surface movement radar
・ Surface Ocean Lower Atmosphere Study
・ Surface of class VII
・ Surface of constant width
・ Surface of Eceon
・ Surface of general type
Surface of revolution
・ Surface Paradise
・ Surface phenomenon
・ Surface phonon
・ Surface photovoltage
・ Surface piercing
・ Surface plasmon
・ Surface plasmon polariton
・ Surface plasmon resonance
・ Surface plasmon resonance microscopy
・ Surface plate
・ Surface power density
・ Surface pressure
・ Surface printing
・ Surface Pro


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

Surface of revolution : ウィキペディア英語版
Surface of revolution

A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) around an axis of rotation.〔''Analytic Geometry'' Middlemiss, Marks, and Smart. 3rd Edition Ch. 15 Surfaces and Curves, § 15-4 Surfaces of Revolution pp 378 ff.〕
Examples of surfaces of revolution generated by a straight line are cylindrical and conical surfaces depending on whether or not the line is parallel to the axis. A circle that is rotated about any diameter generates a sphere of which it is then a great circle, and if the circle is rotated about an axis that does not intersect the center of a circle, then it generates a torus which does not intersect itself (a ring torus).
==Properties==
The sections of the surface of revolution made by planes through the axis are called ''meridional sections''. Any meridional section can be considered to be the generatrix in the plane determined by it and the axis.
The sections of the surface of revolution made by planes that are perpendicular to the axis are circles.
Some special cases of hyperboloids (of either one or two sheets) and elliptic paraboloids are surfaces of revolution. These may be identified as those quadratic surfaces all of whose cross sections perpendicular to the axis are circular.

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「Surface of revolution」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.