Area of a triangle and angle bisectors

DOI10.33048/SEMI.2020.17.052zbMath1443.51006arXiv2005.13431OpenAlexW3106122634MaRDI QIDQ779120

Sergeĭ Sergeevich Presnyakov, Aleksandr Aleksandrovich Buturlakin, Danila Olegovitch Revin, Semën Antonovich Savin

Publication date: 21 July 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13431

zbMATH Keywords

algebraic equationGalois group of polynomialangle bisectorsarea of triangleruler and compass constructionsolution in radicals

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15)

Uses Software

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Cites Work

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• A constructive fixed point approach to the existence of a triangle with prescribed angle bisector lengths
• The Magma algebra system. I: The user language
• The Existence of a Triangle with Prescribed Angle Bisector Lengths

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