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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 Hectogon ： ウィキペディア英語版 Hectogon In geometry, a hectogon or hecatontagon〔()〕〔()〕 is a hundred-sided polygon or 100-gon.〔.〕〔(''The New Elements of Mathematics: Algebra and Geometry ) by Charles Sanders Peirce (1976), p.298〕 The sum of any hectogon's interior angles is 17640 degrees. ==Regular hectogon== A ''regular hectogon'' is represented by Schläfli symbol and can be constructed as a truncated pentacontagon, t, or a twice-truncated icosipentagon, tt. One interior angle in a regular hectogon is 176.4°, meaning that one exterior angle would be 3.6°. The area of a regular hectogon is (with ) :$A\; =\; 25t^2\; \backslash cot\; \backslash frac$ and its inradius is :$r\; =\; \backslash fract\; \backslash cot\; \backslash frac$ The circumradius of a regular hectogon is :$R\; =\; \backslash fract\; \backslash csc\; \backslash frac$ Because 100 = 22 × 52, the number of sides is neither a product of distinct Fermat primes nor a power of two. Thus the regular hectogon is not a constructible polygon.〔(Constructible Polygon )〕 Indeed, it is not even constructible with the use of neusis or an angle trisector, as the number of sides is neither a product of distinct Pierpont primes, nor a product of powers of two and three.〔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「Hectogon」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.