Erd S-Mordell Inequality
- Editore:
Betascript Publishing
- EAN:
9786131295249
- ISBN:
6131295247
- Pagine:
- 86
- Formato:
- Paperback
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Descrizione Erd S-Mordell Inequality
High Quality Content by WIKIPEDIA articles! 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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