## X(144) (ANTICOMPLEMENT OF X(7))

 Interactive Applet

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 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) = (csc A)(tan B/2 + tan C/2 - tan A/2)

Barycentrics    tan B/2 + tan C/2 - tan A/2 : tan C/2 + tan A/2 - tan B/2 : tan A/2 + tan B/2 - tan C/2

Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b),
where g(a,b,c) = 1/(a - b - c) + 1/(a - b + c) + 1/(a + b - c) (Peter J. C. Moses, 4/8/03)

X(144) = X(7)-of-anticomplementary triangle

X(144) lies on these lines:

X(144) is the {X(7),X(9)}-harmonic conjugate of X(2).

X(144) = reflection of X(I) in X(J) for these (I,J): (7,9), (145,390), (149,1156)
X(144) = anticomplement of X(7)
X(144) = X(8)-Ceva conjugate of X(2)
X(144) = X(I)-beth conjugate of X(J) for these (I,J): (190,144), (645,346)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.