Euler's ratio-sum theorem and generalizations

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Euler's ratio-sum theorem and generalizations

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Title: Euler's ratio-sum theorem and generalizations
Author: Grünbaum, Branko; Klamkin, Murray S.
Abstract: A theorem of Euler concerns sums of ratios in which Cevians of a triangle are divided by a common point. Generalizations of this result in three directions are presented: polygons instead of triangles, higher-dimensional polytopes, and several kinds of ratios.
URI: http://hdl.handle.net/1773/2213

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