On the area formulas of inscribed polygons in classical geometry

Yohei Komori, Runa Umezawa, Takuro Yasui

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)557-572
Number of pages16
JournalPure and Applied Mathematics Quarterly
Volume16
Issue number3
DOIs
Publication statusPublished - 2020

Keywords

  • Euclidean geometry
  • Hyperbolic geometry
  • Spherical geometry

ASJC Scopus subject areas

  • Mathematics(all)

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