The three points of intersection of the adjacent angle trisectors of any triangle always form an equilateral triangle. Discovered by Frank Morley, it is a celebrated example of a simple, surprising fact hidden in elementary geometry.
Facts
StatementIn any triangle, the points where each pair of adjacent angle trisectors meet form an equilateral triangle, called the Morley triangle. 1 Classification
Statement FormCharacterization Theorem 1 Connections
Sources
1. Morley's Trisector Theorem (Wikipedia)
Wikimedia Foundationlead paragraph, theorem statement sentence
In plane geometry, Morley's trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the first Morley triangle or simply the Morley triangle.
lead paragraph, discovery attribution sentence
The theorem was discovered in 1899 by Anglo-American mathematician Frank Morley.
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