On Convex Curves Which Have Many Inscribed Triangles of Maximum Area

Let K be a convex figure in the plane such that every point x ∈ ∂ K serves as a vertex of an inscribed triangle with maximum area. In this note, we prove a conjecture due to Genin and Tabachnikov that says where T is a triangle with maximum area inscribed in K. Moreover, we prove that the bounds in...

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Veröffentlicht in:	The American mathematical monthly 2015-12, Vol.122 (10), p.967-971
1. Verfasser:	Castro, Jesús Jerónimo
Format:	Artikel
Sprache:	eng
Schlagworte:	Ellipses Geometric planes Inequality Mathematical theorems Mathematics Parallel lines Parallelograms Rotating bodies Triangles Vertices
Online-Zugang:	Volltext
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