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ON A GEOMETRIC INEQUALITY OF OPPENHEIMKeywords: triangle , interior point , Oppenheim inequality , Erd¨os-Mordell inequality , conjecture. Abstract: In this paper we give a simple proof of an Oppenheim’s geometric inequality by using a new lemma, we also prove a refinement of the Oppenheim inequality. Some related conjectures which have been checked by the computer are put forward.
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