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arXiv · 1805.10632

Generic singularities of spherical orthotomic curves associated with spherical pedal curves

Xihe Liu·Takashi Nishimura
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Abstract

For the n-dimensional spherical pedal curve $ped_{\gamma,P}$ with respect to an n-dimensional spherical unit speed curve $\gamma$ and a given point $P \in S^n$, we define the spherical orthotomic curve of $\gamma$ relative to the point $P$, and classify singularities of spherical orthotomic curves.

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Xihe Liu, Takashi Nishimura. 2018-05-27. Generic singularities of spherical orthotomic curves associated with spherical pedal curves. https://arxiv.org/abs/1805.10632

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