An Examination Perpendicular Transversal Intersection of IFRS and MFRS E^3

Abstract

The surface-surface intersection (SSI) problems is very important subject in geometry. We examined perpendicular transversal intersection problems of eight Frenet ruled surfaces which are called ‘Involute Frenet ruled surfaces (IFRS) and Mannheim Frenet ruled surfaces (MFRS) ‘ of a curve α, in terms of the Frenet apparatus of curve α. First using only one matrix and orthogonality conditions of the eight normal vector fieldsare given. Further perpendicular transversal intersection conditations and curves if there exist of eight IFRS and MFRS are examined .