@article{262d690a7db048ac91f91548220eae27,
title = "On the area formulas of inscribed polygons in classical geometry",
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.",
keywords = "Euclidean geometry, Hyperbolic geometry, Spherical geometry",
author = "Yohei Komori and Runa Umezawa and Takuro Yasui",
note = "Publisher Copyright: {\textcopyright} 2020, Homology, Homotopy and Applications. All rights reserved.",
year = "2020",
doi = "10.4310/PAMQ.2020.v16.n3.a8",
language = "English",
volume = "16",
pages = "557--572",
journal = "Pure and Applied Mathematics Quarterly",
issn = "1558-8599",
publisher = "International Press of Boston, Inc.",
number = "3",
}