循环四次多项式、倾斜风筝和其它四次多项式的多项式条件
Some Polynomial Conditions of Cyclic Quadrilaterals, Tilted Kites and Other Quadrilaterals
摘要：
在本文中，我们研究了一些多项式的条件所产生的欧几里德几何。首先我们研究了与具有补角的四元四边形有关的多项式，这包括凸循环四元四边形，以及某些凹四元四边形。然后，我们考虑多项式与四边形与一些相等的角度，其中包括凸和凹倾斜风筝。一些结果证明使用Groebner基地计算。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
