Hadwiger-Finsler inequality

proper noun

A result on the geometry of triangles in the Euclidean plane, stating that, if a triangle in the plane has side lengths a, b and c and area T, then a²+b²+c²≥(a-b)²+(b-c)²+(c-a)²+4√3T.

Meanings

proper nounthe Hadwiger-Finsler inequality
  1. geometryA result on the geometry of triangles in the Euclidean plane, stating that, if a triangle in the plane has side lengths a, b and c and area T, then a²+b²+c²≥(a-b)²+(b-c)²+(c-a)²+4√3T.

Origin

Named after Hugo Hadwiger and Paul Finsler.

Full word history & related roots →
Cite this entry
APA

Hadwiger-Finsler inequality. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Hadwiger-Finsler%20inequality

MLA

“Hadwiger-Finsler inequality.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hadwiger-Finsler%20inequality. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hadwiger-Finsler inequality,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Hadwiger-Finsler%20inequality.

Source: Hadwiger-Finsler inequality on Wiktionary, CC BY-SA 4.0.