id: 06085904 dt: j an: 2012f.00725 au: Liu, Jian ti: On a geometric inequality of Oppenheim. so: J. Sci. Arts 12, No. 1, 5-12 (2012). py: 2012 pu: Valahia University of Targoviste, Faculty of Sciences and Arts; Bibliotheca Publishing House, Targoviste la: EN cc: G65 ut: triangles; interior points; Oppenheim inequality; Erdős-Mordell inequality ci: li: ab: Summary: The authors give a simple proof of Oppenheim’s geometric inequality by using a new lemma. Also a refinement of the Oppenheim inequality is proven. Some related conjectures which have been checked by the computer are put forward. rv: