## X(126) (X(111)-OF-MEDIAL-TRIANGLE)

 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(2a2 - b2 - c2)[b4 + c4 + a2(b2 + c2) - 4b2c2]

Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b) where g(a,b,c) = (2a2 - b2 - c2)[b4 + c4 + a2(b2 + c2) - 4b2c2]

X(126) lies on the nine-point circle
X(126) = X(111)-of-medial triangle.

X(126) lies on these lines: 2,99    125,141    625,858

X(126) = complementary conjugate of X(524)
X(126) = X(4)-Ceva conjugate of X(524)

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