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

Manuele Santoprete

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arXiv · 2302.10071

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

Manuele Santoprete

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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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Manuele Santoprete. 2023-02-20. Some Polynomial Conditions of Cyclic Quadrilaterals, Tilted Kites and Other Quadrilaterals. https://arxiv.org/abs/2302.10071

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