THERMAL SCIENCE

International Scientific Journal

Süleyman Şenyurt

,

Yasin Altun

,

Ceyda Cevahir

,

Hüseyin Kocayiğit

ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES

ABSTRACT
In this article, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We created Sabban frame belonging to spherical indicatrix of involute curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to spherical indicatrix. Then, we calculated geodesic curvatures of this Smarandache curves. The results found for each curve was given depend on evolute curve. The example related to the subject were given and their figures were drawn with Mapple program.
KEYWORDS
Geodesic curvature, Involute-evolute curves, Sabban frame, Smarandache curves
PAPER SUBMITTED: 2018-11-30
PAPER REVISED: 2018-12-26
PAPER ACCEPTED: 2019-01-12
PUBLISHED ONLINE: 2019-03-09
DOI REFERENCE: https://doi.org/10.2298/TSCI181130054S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 1, PAGES [S413 - S425]
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On the Sabban frame belonging to involute-evolute curves

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence