Erd's Mordell Inequality
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In Euclidean geometry, the Erd s Mordell inequality states that for any triangle ABC and point O inside ABC, the sum of the distances from O to the sides is less than or equal to half of the sum of the distances from O to the vertices. The inequality was conjectured by Erd s as problem 3740 in the American Mathematical Monthly, 42 (1935). A proof was offered two years later by Mordell and Barrow. These solutions were however not very elementary. Subsequent simpler pro...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In Euclidean geometry, the Erd s Mordell inequality states that for any triangle ABC and point O inside ABC, the sum of the distances from O to the sides is less than or equal to half of the sum of the distances from O to the vertices. The inequality was conjectured by Erd s as problem 3740 in the American Mathematical Monthly, 42 (1935). A proof was offered two years later by Mordell and Barrow. These solutions were however not very elementary. Subsequent simpler proofs were then found by Kazarinoff (1957) and Bankoff (1958).
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