In this paper the following is proved: Let K ⊂ E2 be a smooth strictly convex body, and let L ⊂ E2 be a line. Assume that for every point x ∈ L/K the two tangent segments from x to K have the same length, and the line joining the two contact points passes through a fixed point in the plane. Then K is an Euclidean disc. © Akadémiai Kiadó, Budapest.
CITATION STYLE
Jerónimo-Castro, J., & Roldán-Pensado, E. (2009). A characteristic property of the Euclidean disc. Periodica Mathematica Hungarica, 59(2), 213–222. https://doi.org/10.1007/s10998-009-0213-9
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