Morley center = X(356) = cos(A/3) + 2 cos(B/3)cos(C/3) : cos(B/3) + 2 cos(C/3)cos(A/3) : cos(C/3) + 2 cos(A/3)cos(B/3). The first Morley triangle is perspective to triangle ABC: the lines each connecting a vertex of the original triangle with the opposite vertex of the Morley triangle concur at the point 1st Morley–Taylor–Marr center = X(357) = sec(A/3) : sec(B/3) : sec(C/3). See also Angle trisection Hofstadter points Morley centers Notes References . . . . . . External links Morleys Theorem at MathWorld Morley's Trisection Theorem at MathPages Morley's Theorem by Oleksandr Pavlyk, The Wolfram Demonstrations Project. Theorems about triangles