The second Morley adjunct triangle has trilinear vertex matrix [2 | sec[1/3(C - 2π)] | sec[1/3(B - 2π)] sec[1/3(C - 2π)] | 2 | sec[1/3(A - 2π)] sec[1/3(B - 2π)] | sec[1/3(A - 2π)] | 2]. The following table lists perspectors of the second Morley adjunct triangle with other named triangles that are Kimberling centers. triangle | Kimberling | perspector reference triangle | X_1137 | 6th Morley-Taylor-Marr center

first Morley adjunct triangle | second Morley triangle | third Morley adjunct triangle