## X(377) (EULER LINE INTERCEPT OF LINE X(7)X(8))

 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 - 2b2c2 - 2abc(a + b + c))
= g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = cos A +(cos A + cos B + cos C) cos B cos C
Barycentrics    h(a,b,c) : h(b,c,a) : h(c,a,b), where h(a,b,c) = b4 + c4 - a4 - 2b2c2 - 2abc(a + b + c)

X(377) lies on these lines:
1,224    2,3    7,8    10,46    78,226    81,387    142,950    145,1056    149,1058    225,1038    274,315    908,936    1060,1068

X(377) is the {X(3),X(20)}-harmonic conjugate of X(21).

X(377) = anticomplement of X(405)

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