High Quality Content by WIKIPEDIA articles! In geometry, given a triangle ABC, there exist unique points A', B', and C' on the sides BC, CA, AB respectively, such that: * A', B', and C' partition the perimeter of the triangle into three equal-length pieces. That is, C'B + BA' = B'A + AC' = A'C + CB'. * The three lines AA', BB', and CC' meet in a point, the trisected perimeter point. This is point X369 in Clark Kimberling's Encyclopedia of Triangle Centers. Uniqueness and a formula for the trilinear coordinates of X369 were derived by Peter Yff.

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