Some Polynomial Conditions for Cyclic Quadrilaterals, Tilted Kites and Other Quadrilaterals
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...
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| creator | Santoprete, Manuele |
| description | 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. |
| doi_str_mv | 10.1007/s11786-023-00574-7 |
| format | Article |
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| subjects | Angles (geometry) Computer Science Euclidean geometry Kites Mathematics Mathematics and Statistics Polynomials Quadrilaterals |
| title | Some Polynomial Conditions for Cyclic Quadrilaterals, Tilted Kites and Other Quadrilaterals |
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