翻訳と辞書
Words near each other
・ Platform Specialty Products Corporation
・ Plateau pressure
・ Plateau principle
・ Plateau Sign Language
・ Plateau Sky Ranch Airport
・ Plateau spotted whiptail
・ Plateau State University
・ Plateau Station
・ Plateau Systems
・ Plateau tiger salamander
・ Plateau United F.C.
・ Plateau Valley
・ Plateau Valley (Utah)
・ Plateau Vision
・ Plateau vole
Plateau's laws
・ Plateau's problem
・ Plateau, Benin
・ Plateau, Ivory Coast
・ Plateau, Nova Scotia
・ Plateau, São Tomé and Príncipe
・ Plateau-Central Region
・ Plateau-Mont-Royal borough council
・ Plateau/Gorée
・ Plateau/Gorée Arrondissement
・ Plateaus of Yellowstone National Park
・ Plateaux (disambiguation)
・ Plateaux Department
・ Plateaux Department (Gabon)
・ Plateaux Department (Republic of the Congo)


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

Plateau's laws : ウィキペディア英語版
Plateau's laws

Plateau's laws describe the structure of soap films. These laws were formulated in the 19th century by the Belgian physicist Joseph Plateau from his experimental observations. Many patterns in nature are based on foams obeying these laws.〔Ball, 2009. pp. 66–71, 97–98, 291–292〕
==Laws for soap films==

Plateau's laws describe the shape and configuration of soap films as follows:〔Ball, 2009. p. 68〕
# Soap films are made of entire (unbroken) smooth surfaces.
# The mean curvature of a portion of a soap film is everywhere constant on any point on the same piece of soap film.
# Soap films always meet in threes along an edge called a Plateau border, and they do so at an angle of arccos(−1/2) = 120°.
# These Plateau borders meet in fours at a vertex, and they do so at an angle of arccos(−1/3) ≈ 109.47° (the tetrahedral angle).
Configurations other than those of Plateau's laws are unstable, and the film will quickly tend to rearrange itself to conform to these laws.〔Ball, 2009. pp. 66–67〕
That these laws hold for minimal surfaces was proved mathematically by Jean Taylor using geometric measure theory.〔.〕〔.〕

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「Plateau's laws」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.