ON THE AREA OF A POLYGON INSCRIBED IN A CIRCLE

被引：0

作者：

Matsumoto, Y. ^{[1
]}

Matsutani, Y. ^{[2
]}

Oda, M. ^{[3
]}

Sakai, T. ^{[4
]}

Shibuya, T. ^{[5
]}

机构：

[1] Gakushuin Univ, Fac Sci, Dept Matemat, Toshima Ku, 1-5-1 Mejiro, Tokyo, 1718588, Japan

[2] 3-21-1 Minamimachi, Kokubunji, Tokyo 1850021, Japan

[3] Tsuda Coll, Kodaira, Tokyo 1878577, Japan

[4] Nihon Univ, Coll Humanities & Sci, Dept Math, Setagaya Ku, Tokyo, 1560045, Japan

[5] 2-19-22-301 Nishiwaseda, Tokyo, 1690051, Japan

来源：

ENSEIGNEMENT MATHEMATIQUE | 2007年 / 53卷 / 1-2期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if n >= 5, the area of the general cyclic n-gon cannot be calculated from its side lengths, using only arithmetic operations and k-th roots. To prove this, we apply Galois theory.

引用

页码：127 / 153

页数：27

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