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

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.

Dergi

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS

Yıl

2023

Cilt

72

Sayı

4

Sayfa

867-879

ISSN

1303-5991

DOI

10.31801/cfsuasmas.1187854

WoS UID

WOS:001129906700004

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