Reverse Inequalities of Erdös–mordell Type
نویسندگان
چکیده
This paper deals with the reverse inequalities of Erdös-Mordell type. Our result contains as special case the following reverse Erdös-Mordell inequality: R1 +R2 +R3 < √ 2 (ρ1 +ρ2 +ρ3) , where Ri and ρi (i=1, 2, 3) denote respectively the distances from an interior point Q of A1A2A3 to the vertexes A1, A2, A3 and to the circumcenters of A2QA3 , A3QA1 , A1QA2 . Some other closely related inequalities are also considered. Mathematics subject classification (2000): 26D05, 26D15, 51M16.
منابع مشابه
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تاریخ انتشار 2009