## X(728) (INTERSECTION OF LINES X(8)X(9) AND X(57)X(345))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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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) = (b + c - a)3
Trilinears            cot3(A/2) : cot3(B/2) : cot3(C/2)      (M. Iliev, 4/12/07)

Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(728) lies on these lines: 8,9    40,1018    57,345    78,644    200,220

X(728) = isogonal conjugate of X(738)
X(728) = X(346)-Ceva conjugate of X(200)
X(728) = X(480)-cross conjugate of X(200)

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