Let three isoscelizers I_(A C) I_(A B), I_(B A) I_(B C), and I_(C A) I_(C B) be constructed on a triangle Δ A B C, one for each side. This makes all of the inner triangles similar to each other. However, there is a unique set of three isoscelizers for which the four interior triangles Δ A' I_(B C) I_(C B), Δ I_(A C) B' I_(C A), Δ I_(A B) I_(B A) C', and Δ A' B' C' are congruent. The innermost triangle Δ A' B' C' is called the Yff central triangle. It has trilinear vertex matrix [y z | z(x + z) | y(x + y) z(y + z) | z x | x(y + x) y(z + y) | x(z + x) | x y], where x = cos(A/2), y = cos(B/2), and z = cos(C/2) (Kimberling 1998, p. 172; typo corrected).
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