Simson line

noun

Given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P.

Meanings

nounSimson line (plural Simson lines)

plural Simson lines

  1. geometryGiven a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P.

    Synonyms: Wallace line

Synonyms & antonyms

nounGiven a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P.

Also see

Origin

Named after Robert Simson, though it had been published prior to his work.

Full word history & related roots →
Cite this entry
APA

Simson line. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Simson%20line

MLA

“Simson line.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Simson%20line. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Simson line,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Simson%20line.

Source: Simson line on Wiktionary, CC BY-SA 4.0.