Document Type
Article
Publication Date
2024
Keywords
Natual mates, co-successor curves, Bertrand curves, conjugate mates
Abstract
In Euclidean 3-space, a family of curves, the co-successor, is motivated and then introduced in relation to the natural mate. A complete characterization of co-successors is proved, followed by an application of the co-successor towards describing Bertrand curves and their mates.
Journal Title
International Electronic Journal of Geometry
Volume
17
Issue
1
First Page
252
Last Page
258
DOI
https://doi.org/10.36890/iejg.1438073
First Department
Mathematics
Recommended Citation
Oh, Yun Myung and Navarro, Alexander, "Extending Natural Mates in Euclidean 3-space and Applications to Bertrand Pairs" (2024). Faculty Publications. 5125.
https://digitalcommons.andrews.edu/pubs/5125
Acknowledgements
Open access article retrieved May 22, 2024 from https://dergipark.org.tr/en/pub/iejg/issue/84071/1438073