Envelopes of Bisection Lines of Polygons
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910513099702272 |
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| author | da Silva, Joel Albertacci Marques Craizer, Marcos |
| author_facet | da Silva, Joel Albertacci Marques Craizer, Marcos |
| contents | A bisection line divides a convex planar curve into two parts with equal areas. It is natural to study the envelope of these lines, which in general present singularities. The polygonal case is particularly inte\-resting, since there are several different notions of a discrete envelope. In this paper, we study three different notions of discrete envelopes of bisection lines and the connections between them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_10559 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Envelopes of Bisection Lines of Polygons da Silva, Joel Albertacci Marques Craizer, Marcos Differential Geometry 53A15, 52A10 A bisection line divides a convex planar curve into two parts with equal areas. It is natural to study the envelope of these lines, which in general present singularities. The polygonal case is particularly inte\-resting, since there are several different notions of a discrete envelope. In this paper, we study three different notions of discrete envelopes of bisection lines and the connections between them. |
| title | Envelopes of Bisection Lines of Polygons |
| topic | Differential Geometry 53A15, 52A10 |
| url | https://arxiv.org/abs/2203.10559 |