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.
Envelopes of families of lines area bisection lines discrete envelopes discrete cusps half-area polygons three vertices theorem
Birincil Dil | İngilizce |
---|---|
Konular | Cebirsel ve Diferansiyel Geometri |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Erken Görünüm Tarihi | 19 Eylül 2024 |
Yayımlanma Tarihi | |
Gönderilme Tarihi | 8 Temmuz 2024 |
Kabul Tarihi | 1 Ağustos 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 17 Sayı: 2 |