ON THE CURVES LYING ON PARALLEL-LIKE SURFACES OF THE RULED SURFACE IN E<SUP>3</SUP>


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YURTTANÇIKMAZ S.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.72, sa.4, ss.867-879, 2023 (ESCI) identifier identifier

Özet

In this paper, it has been researched curves lying on parallel-like surfaces Mf of the ruled surface M in E3. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces M and Mf, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.