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arXiv · 2204.11132

The Geometry of the Centre Symmetry Set of a Planar Curve

Dominika Miller·Michał Zwierzyński
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Abstract

The Centre Symmetry Set of a planar curve $M$ is the envelope of affine chords of $M$, i.e. the lines joining points on $M$ with parallel tangent lines. In this paper we study global geometrical properties of this set including the number of singularities and the number of asymptotes.

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Dominika Miller, Michał Zwierzyński. 2022-04-23. The Geometry of the Centre Symmetry Set of a Planar Curve. https://arxiv.org/abs/2204.11132

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