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arXiv · 2203.10559

Envelopes of Bisection Lines of Polygons

Joel Albertacci Marques da Silva·Marcos Craizer
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Abstract

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.

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Joel Albertacci Marques da Silva, Marcos Craizer. 2022-03-20. Envelopes of Bisection Lines of Polygons. https://arxiv.org/abs/2203.10559

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