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 .

Keywords

• involute curves,Mannheim curves

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