Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = bc/(2b2c2 - a2b2 - a2c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)Trilinears for X(3228) are obtained by applying the symbolic substitution (a,b,c)-->(bc,ca,ab) to trilinear coordinates of X(111). As a symbolic substitution, this mapping takes circumconics to circumconics. In particular, it maps circumcircle onto the Steiner circumellipse, which passes through X(3228).
X(3228) lies on these lines:
6,670 6,99 25,648 37,668 42,190 111,385 263,1992 290,2395 671,804X(3228) = isogonal conjugate of X(3231)
X(3228) = isotomic conjugate of X(538)