Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleThe Erdős-Mordell inequality is equivalent to non-positive curvature.AuthorsPambuccian, VictorAbstractWe prove that, in plane absolute geometry, the Erdős-Mordell inequality is equivalent to the statement that the sum of the angles of a triangle is less than or equal to two right angles.SubjectsMATHEMATICAL inequalities; CURVATURE; TRIANGLES; PLANE geometry; RIGHT anglePublicationJournal of Geometry, 2008, Vol 88, Issue 1/2, p134ISSN0047-2468Publication typeArticleDOI10.1007/s00022-007-1961-4