The first Morley adjunct triangle is the triangle first
Morley triangle . Unlike the first Morley
triangle , the first Morley adjunct triangle is not equilateral.
The first Morley adjunct triangle has trilinear
vertex matrix
(Kimberling 1998, p. 167).
The first Fermat point of the first Morley adjunct triangle is the first Morley center
See also First Morley Triangle ,
Second Morley Adjunct Triangle ,
Third
Morley Adjunct Triangle
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References Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129 , 1-295, 1998. Referenced on Wolfram|Alpha First Morley Adjunct Triangle
Cite this as:
Weisstein, Eric W. "First Morley Adjunct Triangle."
From MathWorld https://mathworld.wolfram.com/FirstMorleyAdjunctTriangle.html
Subject classifications
illustrated above, where 
is the first
Morley triangle. Unlike the first Morley
triangle, the first Morley adjunct triangle is not equilateral.
![[2 sec(1/3C) sec(1/3B); sec(1/3C) 2 sec(1/3A); sec(1/3B) sec(1/3A) 2]](/images/equations/FirstMorleyAdjunctTriangle/NumberedEquation1.svg)
.
