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- Erdős–Mordell_inequality abstract "In Euclidean geometry, the Erdős–Mordell inequality states that for any triangle ABC and point P inside ABC, the sum of the distances from P to the sides is less than or equal to half of the sum of the distances from P to the vertices. It is named after Paul Erdős and Louis Mordell. Erdős (1935) posed the problem of proving the inequality; a proof was provided two years later by Mordell and D. F. Barrow (1937). This solution was however not very elementary. Subsequent simpler proofs were then found by Kazarinoff (1957), Bankoff (1958), and Alsina & Nelson (2007). In absolute geometry, the Erdős–Mordell inequality is equivalent to the statement that the sum of the angles of a triangle is at most 2(Pambuccian 2008).Barrow's inequality is a strengthened version of the Erdős–Mordell inequality in which the distances from O to the sides are replaced by the distances from O to the points where the angle bisectors cross the sides. Although the replaced distances are longer, their sum is still less than or equal to half the sum of the distances to the vertices.".
- Erdős–Mordell_inequality wikiPageID "13006855".
- Erdős–Mordell_inequality wikiPageRevisionID "551328843".
- Erdős–Mordell_inequality first "D. F.".
- Erdős–Mordell_inequality last "Barrow".
- Erdős–Mordell_inequality last "Mordell".
- Erdős–Mordell_inequality title "Erdős-Mordell Theorem".
- Erdős–Mordell_inequality urlname "Erdos-MordellTheorem".
- Erdős–Mordell_inequality year "1937".
- Erdős–Mordell_inequality subject Category:Geometric_inequalities.
- Erdős–Mordell_inequality subject Category:Triangle_geometry.
- Erdős–Mordell_inequality comment "In Euclidean geometry, the Erdős–Mordell inequality states that for any triangle ABC and point P inside ABC, the sum of the distances from P to the sides is less than or equal to half of the sum of the distances from P to the vertices. It is named after Paul Erdős and Louis Mordell. Erdős (1935) posed the problem of proving the inequality; a proof was provided two years later by Mordell and D. F. Barrow (1937). This solution was however not very elementary.".
- Erdős–Mordell_inequality label "Erdős–Mordell inequality".
- Erdős–Mordell_inequality label "Nierówność Erdősa".
- Erdős–Mordell_inequality label "Stelling van Erdős-Mordell".
- Erdős–Mordell_inequality label "Théorème d'Erdős-Mordell".
- Erdős–Mordell_inequality label "Неравенство Эрдёша — Морделла".
- Erdős–Mordell_inequality label "埃尔德什-莫德尔不等式".
- Erdős–Mordell_inequality sameAs Erd%C5%91s%E2%80%93Mordell_inequality.
- Erdős–Mordell_inequality sameAs Théorème_d'Erdős-Mordell.
- Erdős–Mordell_inequality sameAs Stelling_van_Erdős-Mordell.
- Erdős–Mordell_inequality sameAs Nierówność_Erdősa.
- Erdős–Mordell_inequality sameAs Q990530.
- Erdős–Mordell_inequality sameAs Q990530.
- Erdős–Mordell_inequality wasDerivedFrom Erdős–Mordell_inequality?oldid=551328843.