On the area formulas of inscribed polygons in classical geometry

被引：0

作者：

Komori, Yohei ^{[1
]}

Umezawa, Runa ^{[2
]}

Yasui, Takuro ^{[1
]}

机构：

[1] Waseda Univ, Sch Educ, Dept Math, Shinjuku Ku, Nishi Waseda 1-6-1, Tokyo 1698050, Japan

[2] Waseda Univ, Dept Math, Fac Sci & Engn, Shinjuku Ku, Ohkubo 3-4-1, Tokyo 1698555, Japan

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2020年 / 16卷 / 03期

关键词：

Euclidean geometry; hyperbolic geometry; spherical geometry;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that there is no area formula of the general inscribed n-gon for n >= 5 only by using arithmetic operations and k-th roots of its side lengths in classical geometry.

引用

页码：557 / 572

页数：16

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