Envelopes of Bisection Lines of Polygons

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
Hauptverfasser: Marques Da Silva, Joel, Craizer, Marcos
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container_title International Electronic Journal of Geometry
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creator Marques Da Silva, Joel
Craizer, Marcos
description 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.
doi_str_mv 10.36890/iejg.1512613
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