Groebner基在曲面交线平面性中的应用
An application of Groebner bases to planarity of intersection of surfaces
摘要：
本文利用Groebner基理论，对${\bf R}^3$中两个代数曲面的交线的平面性进行了判定。特别考虑了以三次卵形曲线为直曲线之一的某类圆锥面的平截面。本文研究了这类圆锥面的圆锥平面截线的可能性。
英文摘要：
In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in ${\bf R}^3$. We specially considered plane sections of certain type of conoid which has a cubic egg curve as one of the directrices. The paper investigates a possibility of conic plane sections of this type of conoid.
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。
