Boundaries of Smooth Strictly Convex Sets in the Euclidean Plane R2 - Open Journal of Discrete Mathematics

OJDM > Vol.7 No.2, April 2017

Boundaries of Smooth Strictly Convex Sets in the Euclidean Plane R² ()

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DOI: 10.4236/ojdm.2017.72008 1,178 Downloads 2,322 Views

Author(s)

Horst Kramer

Affiliation(s)

Retired, Niedernhausen, Germany.

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.

KEYWORDS

Strict Convexity, Smoothness, Supporting Lines, Inscribed Triangles

Share and Cite:

Kramer, H. (2017) Boundaries of Smooth Strictly Convex Sets in the Euclidean Plane R². Open Journal of Discrete Mathematics, 7, 71-76. doi: 10.4236/ojdm.2017.72008.

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