TITLE:
Boundaries of Smooth Strictly Convex Sets in the Euclidean Plane R2
AUTHORS:
Horst Kramer
KEYWORDS:
Strict Convexity, Smoothness, Supporting Lines, Inscribed Triangles
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.7 No.2,
April
19,
2017
ABSTRACT: We give a characterization of the boundaries of smooth strictly convex sets in the Euclidean plane R2based on the existence and uniqueness of inscribed triangles.