The surface-surface intersection (SSI) problem is very important subject in geometry. We examinedperpendicular transversal intersection problems of eight Frenet ruled surfaces which are called ” Involutive Frenetruledsurfaces (IFRS) and Mannheim Frenet ruled surfaces (MFRS) ofa curve α, in terms of the Frenet apparatusof curve α. First using only one matrix and orthogonality conditions of the eight normal vector fields are given.Further perpendicular transversal intersection conditions and curves if there exist of eight IFRS and MFRS areexamined.
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