An application of Groebner bases to planarity of intersection of surfaces
classification
🧮 math.AC
math.MG
keywords
basesconoidgroebnerplanarityplanesectionssurfacestype
read the original abstract
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.
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