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In geometry, a heptacontagon (or hebdomecontagon from Ancient Greek ἑβδομήκοντα, seventy〔(Greek Numbers and Numerals (Ancient and Modern) ) by Harry Foundalis〕) is a seventy-sided polygon or 70-gon.〔.〕〔(''The New Elements of Mathematics: Algebra and Geometry ) by Charles Sanders Peirce (1976), p.298〕 The sum of any heptacontagon's interior angles is 12240 degrees. A ''regular heptacontagon'' is represented by Schläfli symbol and can also be constructed as a truncated triacontapentagon, t, which alternates two types of edges. ==Regular heptacontagon properties== One interior angle in a regular heptacontagon is 174°, meaning that one exterior angle would be 5°. The area of a regular heptacontagon is (with ) : and its inradius is : The circumradius of a regular heptacontagon is : Since 70 = 2 × 5 × 7, a regular heptacontagon is not constructible using a compass and straightedge,〔(Constructible Polygon )〕 but is constructible 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「Heptacontagon」の詳細全文を読む スポンサード リンク
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