Morley's trisector theorem

English

Etymology

Named for Anglo-American mathematician Frank Morley, who discovered it in 1899.

Proper noun

Morley's trisector theorem

1. (geometry) A theorem stating that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle.
   • 1989, Paul GochetEric Grégoireet al., From Modal Logic to Deductive Databases, Wiley, page 8:

     Among the theorems proved by Wu's method are Simon's theorem, the nine point circle theorem, Pascal's theorem, Feuerbach's theorem, Morley's trisector theorem and Thébault's conjecture which was open over forty years and was proved only in 1983.

   • 1996, Dongming Wang, GEOTHER: A Geometry Theorem Prover, M. A. McRobbie, J. K. Slaney (editors), Automated Deduction - Cade-13: 13th International Conference, Proceedings, Springer, LNAI 1104, page 166,

     The provers are practically efficient: a number of difficult theorems including Morley's trisector theorem, Thebault's recently confirmed conjecture and MacLane's non-existence of real 83 configuration have been proved by them in the matter of seconds.

Synonyms

• (theorem of geometry): Morley's theorem

Related terms

• Morley triangle

Translations

theorem of geometry

• French: théorème de Morley m
• Italian: teorema di Morley m