Word.ws English Dictionary

Morley triangle

Morley triangle noun: any of a number of triangles described in Morley's trisector theorem, especially the equilateral triangle formed from the points of intersection of adjacent angle trisectors of a given triangle.

morley triangle: any of a number of triangles described in Morley's trisector theorem, especially the equilateral...
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Noun

Morley triangle (plural Morley triangles)

  1. Any of a number of triangles described in Morley's trisector theorem, especially the equilateral triangle formed from the points of intersection of adjacent angle trisectors of a given triangle.
    • Show that the sides of the Morley triangle of T (cf. 10.3.10) lie on three of those lines (notice that each vertex of the Morley triangle is the center of a cardioid lying inside T and tangent to all its sides, one of them twice.)2009, Marcel Berger, Geometry I, page 276
    • The length of a side of the Morley triangle of a given triangle T is less than one third the length of the smallest side of T.
    • Remark. The Morley triangle of T is the equilateral triangle formed by the intersection in pairs of the angle trisectors of T.2013, Dragoslav S. Mitrinovic, J. Pecaric, V. Volenec, Recent Advances in Geometric Inequalities, page 276
    Synonyms:
    equilateral triangle formed by intersection points of adjacent trisectors

Synonyms of Morley triangle

  • equilateral triangle formed by intersection points of adjacent trisectors

Forms of Morley triangle

pluralMorley triangles

Origin of Morley triangle

Named for Anglo-American mathematician Frank Morley.

Words formed from Morley triangle

  • second Morley triangle
  • third Morley triangle

Questions about Morley triangle

What does Morley triangle mean?
Morley triangle means any of a number of triangles described in Morley's trisector theorem, especially the equilateral triangle formed from the points of intersection of adjacent angle trisectors of a given triangle.
What part of speech is Morley triangle?
Morley triangle is a noun.
What is the plural of Morley triangle?
The plural of Morley triangle is Morley triangles.

Words near Morley triangle in the dictionary

  1. morlands
  2. Morlans
  3. Morlet wavelet
  4. Morlet wavelets
  5. Morley
  6. Morley triangle
  7. Morley triangles
  8. Morley's trisector theorem
  9. Morleys
  10. morling
  11. morlings

Source and license

Adapted from Wiktionary: Morley triangle (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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