Metric properties of poncelet polygonal linesстатья
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Дата последнего поиска статьи во внешних источниках: 18 марта 2017 г.
Аннотация:A generalization of the Radić-Kaliman theorem on metric relations in Poncelet polygonal lines is obtained in the paper. A general principle of determination of a closure condition Poncelet polygonal line for two circles is derived from this result. In particular, explicit formulas for inscribed-circumscribed n-gons for n = 5, 6, 8 are obtained and an algorithm for determination of such formulas for all n is found.