Second Yff Circles Triangle

The second Yff circles triangle is the triangle formed by the centers of the second triplet of Yff circles. It is homothetic to the reference triangle at its incenter, with directed scale factor , where and are the inradius and circumradius of the reference triangle, respectively (F. M. Jackson, pers. comm., June 7, 2007).

The following table gives the centers of the second Yff circles triangle in terms of the centers of the reference triangle for Kimberling centers with .

	center of second Yff circles triangle		center of reference triangle
	incenter		incenter
	circumcenter		external similitude center of circumcircle and incircle
	orthocenter		(,)-harmonic conjugate of
	nine-point center		(,)-harmonic conjugate of
	symmedian point		intersection of lines and
	Spieker center		isogonal conjugate of
	Bevan point		-Ceva conjugate of