Morley centers

In plane geometry, the Morley centers are two special points associated with a triangle.

The two points are also related to Morley's trisector theorem which was discovered by Frank Morley in around 1899.

△DEF is called the Morley triangle of △ABC.

The centroid of △DEF is called the first Morley center of △ABC.

Then, the lines AD, BE, CF are concurrent.

The point of concurrence is called the second Morley center of triangle △ABC.

[1][3] The trilinear coordinates of the first Morley center of triangle △ABC are [1]

The trilinear coordinates of the second Morley center are