The third Morley triangle is made by rotating line toward vertex about vertex by angle . It is an equilateral
It has trilinear vertex matrix
(Kimberling 1998, p. 165).
Its signed side lengths are
giving an area of
The following table lists perspectors of the third Morley triangles with other named triangles that are Kimberling centers.
See alsoFirst Morley Triangle
, Second Morley Triangle
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ReferencesKimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.
Referenced on Wolfram|AlphaThird Morley Triangle
Cite this as:
Weisstein, Eric W. "Third Morley Triangle."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ThirdMorleyTriangle.html