Hjelmslev's theorem

proper noun

a theorem stating that if a set of points P_i lying on a line is isometrically mapped to points P_i' on a different line, then the midpoints of the segments P_iP_i' also lie on a line.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

proper noun
  1. geometrya theorem stating that if a set of points P_i lying on a line is isometrically mapped to points P_i' on a different line, then the midpoints of the segments P_iP_i' also lie on a line.

Origin

Named after Johannes Hjelmslev.

Full word history & related roots →

Translations

German Satz von Hjelmslev
  • Satz von Hjelmslevgeometry
Cite this entry
APA

Hjelmslev's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Hjelmslev's%20theorem

MLA

“Hjelmslev's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hjelmslev's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hjelmslev's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Hjelmslev's%20theorem.

Source: Hjelmslev's theorem on Wiktionary, CC BY-SA 4.0.