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math.MG2024
Ball characterizations in planes and spaces of constant curvature, II \vskip.1cm \centerline{\rm{This pdf-file is not identical with the printed paper.}}
J. Jerónimo-Castro, E. Makai
High proved the following theorem. If the intersections of any two congruent copies of a plane convex body are centrally symmetric, then this body is a circle. In our paper we exte…
math.MG2012
The equal tangents property
J. Jeronimo-Castro, G. Ruiz-Hernandez, S. Tabachnikov
Let M be a smooth strictly convex closed surface in space and denote by H the set of points x in the exterior of M such that all the tangent segments from x to M have equal lengths…