2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229126In 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.Commutative AlgebraMetric Geometry14N05; 51N35text