Date of Award
4-19-2024
Document Type
Honors Thesis
Department
Mathematics
First Advisor
Yun Myung Oh
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.
Recommended Citation
Navarro, Alexander, "Extending Natural Mates in Euclidean 3-space and Applications to Bertrand Pairs" (2024). Honors Theses. 285.
https://digitalcommons.andrews.edu/honors/285
Subject Area
Euclid elements, Curves, Mathematics
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
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