On Central Ovaloids

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Authors

  • Annamalai University ,IN

DOI:

https://doi.org/10.18311/jims/1932/17435

Abstract

An ovaloid is a closed convex surface, and may be defined, according to Minkowski!, as a closed point-set which has in common with an arbitrary straight line in space a finite strip of the line, or a single point, or no point at all, and does not lie completely in a plane. For the purposes of this paper, we shall assume that the principal radii of curvature at any point of the ovaloid exist and are both finite.