## X(150) (REFLECTION OF X(20) IN X(103))

 Interactive Applet

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 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[b4 + c4 - a4 + a(bc2 +cb2 - b3 - c3) - bc(a2 + b2 + c2) + (b + c)a3]

Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where
g(a,b,c) = b4 + c4 - a4 + a(bc2 +cb2 - b3 - c3) - bc(a2 + b2 + c2) + (b + c)a3

X(150) = X(101)-of-anticomplementary triangle

X(150) lies on these lines: 1,147    2,101    4,152    7,80    20,103    69,668    85,355    295,334    348,944    664,952

X(150) = reflection of X(I) in X(J) for these (I,J): (20,103), (101,116), (152,4), (664,1565)
X(150) = anticomplementary conjugate of X(514)

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