Word Pronunciation & Dictionary

morley triangle

Word Rarity Rare

Frequency: Zipf frequency 3.11 in modern English

Syllables: mor-ley -tri-an-gle
IPA

20

Scrabble Score

14

Letters

5

Syllables

11

Unique Chars

Meaning

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.

Example Sentences

"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.)"
"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."
"There are a total of 18 Morley triangles that can be constructed. One amusing article I spotted on the web was from a math enthusiast who wrote a computer program trying to illustrate the central Morley triangle we started with, but due to a bug actually trisected the exterior angles in come cases... and was surprised to produce equilateral Morley triangles anyway!"

Etymology

Named for Anglo-American mathematician Frank Morley.

Inflected Forms

Morley triangles (plural)

Phrases

second Morley triangle third Morley triangle Morley centre Morley center Hofstadter point

Frequently Paired Words

Morley centre Morley center Hofstadter point

Synonyms

equilateral triangle formed by intersection points of adjacent trisectors

Questions

What does morley triangle mean?: 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.
Where does morley triangle come from?: Named for Anglo-American mathematician Frank Morley.

How to pronounce morley triangle

Open the pronunciation page — Open the Speakur entry for “morley triangle”.
Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
Play the audio — Click Play to hear reference audio for “morley triangle”.
Repeat and practice — Say “morley triangle” aloud, matching stress and vowels until it feels natural.