The Geometry of the Centre Symmetry Set of a Planar Curve
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916392937193472 |
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| author | Miller, Dominika Zwierzyński, Michał |
| author_facet | Miller, Dominika Zwierzyński, Michał |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_11132 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Geometry of the Centre Symmetry Set of a Planar Curve Miller, Dominika Zwierzyński, Michał Differential Geometry 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. |
| title | The Geometry of the Centre Symmetry Set of a Planar Curve |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2204.11132 |