Characterizations of Adjoint Curves in Euclidean 3-Space

The characterizations of adjoint curves of a space curve in Euclidean 3-space have been done in the present study. A curve and its adjoint curve create new pairs like Bertrand and involute-evolute curves are obtained. Ruled surfaces such as normal and binormal surface with a base curve and adjoint o...

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Published in:National Academy of Sciences, India. Proceedings. Section A. Physical Sciences India. Proceedings. Section A. Physical Sciences, 2019-03, Vol.89 (1), p.155-161
Main Authors: Nurkan, Semra Kaya, Güven, İlkay Arslan, Karacan, Murat Kemal
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Language:English
Subjects:
Applied and Technical Physics
Atomic
Curves
Euclidean geometry
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum Physics
Research Article
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description The characterizations of adjoint curves of a space curve in Euclidean 3-space have been done in the present study. A curve and its adjoint curve create new pairs like Bertrand and involute-evolute curves are obtained. Ruled surfaces such as normal and binormal surface with a base curve and adjoint of base curve are defined here. Tubular surface whose spine curve is an adjoint curve, is also defined.
doi_str_mv 10.1007/s40010-017-0425-y
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subjects Applied and Technical Physics
Atomic
Curves
Euclidean geometry
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum Physics
Research Article
title Characterizations of Adjoint Curves in Euclidean 3-Space
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