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arXiv · 2112.13270

A new family of curves in space

Héctor Efrén Guerrero Mora
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Abstract

This article defines a new family of curves in space, whose graphs generate shapes similar to whirls. An intrinsic equation is found, in terms of curvature and torsion, which gives necessary and sufficient conditions for the existence of this family. Its position vector is found, with arc length parameter and finally a way of generating a great variety of examples is shown; in particular an application to rectifying curves is given.

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Héctor Efrén Guerrero Mora. 2021-12-25. A new family of curves in space. https://arxiv.org/abs/2112.13270

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