Some Polynomial Conditions of Cyclic Quadrilaterals, Tilted Kites and Other Quadrilaterals

2023/02/20 by Manuele Santoprete, Santoprete, Manuele · 2 citations
Engineering · Mathematics · #Control and Dynamics of Mobile Robots #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.2302.10071

openalex publication_date 2023/02/20 · openalex created_date 2023/02/22 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate some polynomial conditions that arise from Euclidean geometry. First we study polynomials related to quadrilaterals with supplementary angles, this includes convex cyclic quadrilaterals, as well as certain concave quadrilaterals. Then we consider polynomials associated with quadrilaterals with some equal angles, which include convex and concave tilted kites. Some of the results are proved using Groebner bases computations.

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