Envelopes of Bisection Lines of Polygons
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 interesting, since there are several different notions of a discrete envelope. In this paper,...
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| Veröffentlicht in: | International Electronic Journal of Geometry 2024-10, Vol.17 (2), p.421-436 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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 interesting, 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. |
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| ISSN: | 1307-5624 1307-5624 |
| DOI: | 10.36890/iejg.1512613 |