Weitzenböck's inequality

proper noun

The observation that, for a triangle of side lengths a, b, c, and area Δ, the following holds: a²+b²+c²≥4√3,Δ.

Meanings

proper noun
  1. geometryThe observation that, for a triangle of side lengths a, b, c, and area Δ, the following holds: a²+b²+c²≥4√3,Δ.

Origin

Named after Roland Weitzenböck.

Full word history & related roots →
Cite this entry
APA

Weitzenböck's inequality. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Weitzenb%C3%B6ck's%20inequality

MLA

“Weitzenböck's inequality.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Weitzenb%C3%B6ck's%20inequality. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Weitzenböck's inequality,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Weitzenb%C3%B6ck's%20inequality.

Source: Weitzenböck's inequality on Wiktionary, CC BY-SA 4.0.