翻訳と辞書
Words near each other
・ Kerala Congress (Nationalist)
・ Kerala Congress (Secular)
・ Kepler-88
・ Kepler-89
・ Kepler-8b
・ Kepler-9
・ Kepler-90
・ Kepler-90e
・ Kepler-90f
・ Kepler-90h
・ Kepler-91b
・ Kepler-9b
・ Kepler-9c
・ Kepler-9d
・ Keplerplatz (Vienna U-Bahn)
Kepler–Bouwkamp constant
・ Kepler–Poinsot polyhedron
・ Keplok
・ KEPN
・ Kepner Income Tax
・ Kepner-Tregoe
・ Kepnock, Queensland
・ Kepo' language
・ Kepodactylus
・ Kepoi
・ Kepone
・ Kepone (band)
・ Kepong
・ Kepong Komuter station
・ Kepong Sentral Komuter station


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

Kepler–Bouwkamp constant : ウィキペディア英語版
Kepler–Bouwkamp constant

In plane geometry, the Kepler–Bouwkamp constant (or Polygon inscribing constant) is obtained as a limit of the following sequence. Take a circle of radius 1. Inscribe a regular triangle in this circle. Inscribe a circle in this triangle. Inscribe a square in it. Inscribe a circle, regular pentagon, circle, regular hexagon and so forth.
The radius of the limiting circle is called the Kepler–Bouwkamp constant (Finch, 2003), it is the inverse of the polygon circumscribing constant.
==Numerical value of the Kepler–Bouwkamp constant==
The decimal expansion of the Kepler–Bouwkamp constant is
: \prod_^\infty \cos\left(\frac\pi k\right) = 0.1149420448\dots.
If the product is taken over the odd primes, the constant
: \prod_ \cos\left(\frac\pi k\right) =
0.312832\ldots
is obtained .

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「Kepler–Bouwkamp constant」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.