Abstract
The paper proposes several theorems on dividing the area of a convex figure by a system of rays with a common initial point. These results include the previous results of this type. As a limiting case, we also obtained several theorems on inscribing a polygon of some type into a convex figure.
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Original Russian Text © V.V. Makeev, 2015, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2015, No. 3, pp. 366–375.
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Makeev, V.V. Dividing a convex figure by a system of rays and inscribed polygons. Vestnik St.Petersb. Univ.Math. 48, 157–163 (2015). https://doi.org/10.3103/S106345411503005X
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DOI: https://doi.org/10.3103/S106345411503005X