## X(2675) (INTERSECTION OF LINES X(2671)X(2673) and X(2672)X(2674))

 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) = 16R2(cos B cos C - cos A) + (3τ + 2)bc, where τ = (1 + sqrt(5))/2 = golden ratio
Trilinears           g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = cos B cos C - h cos A, where h = [5 - 4(51/2]/15       (M. Iliev, 5/13/07)

Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2675) lies on these lines: 2,3    2671,2673    2672,2674

This point of intersection and the fact that it lies on the Euler line were contributed by Peter J. C. Moses, August, 31, 2004.

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