The third Morley adjunct triangle has trilinear vertex matrix [2 | sec[1/3(C - 4π)] | sec[1/3(B - 4π)] sec[1/3(C - 4π)] | 2 | sec[1/3(A - 4π)] sec[1/3(B - 4π)] | sec[1/3(A - 4π)] | 2]. The following table lists perspectors of the third Morley adjunct triangle with other named triangles that are Kimberling centers. triangle | Kimberling | perspector reference triangle | X_1135 | 4th Morley-Taylor-Marr center

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