Ceva’s Triangle Inequalities
نویسندگان
چکیده
We characterize triples of cevians which form a triangle independent of the triangle where they are constructed. This problem is equivalent to solving a three-parameter family of inequalities which we call Ceva’s triangle inequalities. Our main result provides the parametrization of the solution set. Mathematics subject classification (2010): Primary 26D07, 51M04; secondary 51M15, 15B48.
منابع مشابه
un 2 01 2 Ceva ’ s triangle inequalities
We are interested in the natural question about which three cevians form a triangle independent of the triangle where they are constructed. This apparently simple question is equivalent to solving a three-parameter family of inequalities which we call Ceva’s triangle inequalities. The parametrization of the solution set is rather surprising and requires a combination of techniques from algebrai...
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تاریخ انتشار 2012