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...

Full description

Saved in:
Bibliographic Details
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
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Curves
Euclidean geometry
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum Physics
Research Article
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-017-0425-y