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

Year 2018, Volume: 9, 71 - 79, 28.12.2018

Süleyman Şenyurt , Şeyda Kılıçoğlu

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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