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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク pentacontagon ： ウィキペディア英語版 pentacontagon In geometry, a pentacontagon or pentecontagon is a fifty-sided polygon or 50-gon.〔.〕〔(''The New Elements of Mathematics: Algebra and Geometry ) by Charles Sanders Peirce (1976), p.298〕 The sum of any pentacontagon's interior angles is 8640 degrees. A ''regular pentacontagon'' is represented by Schläfli symbol and can be constructed as a quasiregular truncated icosipentagon, t, which alternates two types of edges. ==Regular pentacontagon properties== One interior angle in a regular pentacontagon is 172.8°, meaning that one exterior angle would be 7.2°. The area of a regular pentacontagon is (with ) :$A\; =\; \backslash fract^2\; \backslash cot\; \backslash frac$ and its inradius is :$r\; =\; \backslash fract\; \backslash cot\; \backslash frac$ The circumradius of a regular pentacontagon is :$R\; =\; \backslash fract\; \backslash csc\; \backslash frac$ Since 50 = 2 × 52, a regular pentacontagon is not constructible using a compass and straightedge,〔(Constructible Polygon )〕 and is not constructible even if the use of an angle trisector is allowed.〔http://www.math.iastate.edu/thesisarchive/MSM/EekhoffMSMSS07.pdf〕 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「pentacontagon」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.