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arXiv · 2212.09716

Differential geometry of space curves: Forgotten chapters

Dmitry Fuchs·Ivan Izmestiev·Matteo Raffaelli·Gudrun Szewieczek·Serge Tabachnikov
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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.

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Dmitry Fuchs, Ivan Izmestiev, Matteo Raffaelli, Gudrun Szewieczek, Serge Tabachnikov. 2022-12-19. Differential geometry of space curves: Forgotten chapters. https://doi.org/10.1007/s00283-023-10280-8

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