Differential geometry of space curves: Forgotten chapters
Differential Geometry
2024-04-05 v1
Abstract
We study evolutes and involutes of space curves. Although much of the material presented is not new and can be found in classic treatises, we believe that a modern and unified treatment, complemented with several novel observations, may be useful. The results are illustrated with the help of computer graphics, a tool that was not not available to the classical geometers.
Cite
@article{arxiv.2212.09716,
title = {Differential geometry of space curves: Forgotten chapters},
author = {Dmitry Fuchs and Ivan Izmestiev and Matteo Raffaelli and Gudrun Szewieczek and Serge Tabachnikov},
journal= {arXiv preprint arXiv:2212.09716},
year = {2024}
}
Comments
27 pages, 9 figures