Hadwiger-Finsler inequality
The inequality of Hadwiger Finsler (after Hugo Hadwiger and Paul Finsler ) is an elementary geometric statement about triangles. It says that for every triangle with sides a , b and c and area F the following inequality applies:
The inequality of Weitzenböck results from this immediately as a corollary .
literature
- Paul Finsler, Hugo Hadwiger: Some Relations in the Triangle . In: Commentarii Mathematici Helvetici , 10, No. 1, 1937, pp. 316-326. doi: 10.1007 / BF01214300
- Claudi Alsina, Roger B. Nelsen: When Less is More: Visualizing Basic Inequalities . MAA, 2009, ISBN 978-0-88385-342-9 , pp. 84-86
Web links
- Hadwiger-Finsler inequality . In: PlanetMath . (English)