## X(215) (X(1)-CEVA CONJUGATE OF X(50))

 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) = (sin 3A)(sin 3B + sin 3C - sin 3A)
Trilinears           cos2(3A/2) : cos2(3B/2) : cos2(3C/2)      (M. Iliev, 4/12/07)
Trilinears           1 + cos 3A : 1 + cos 3B : 1+ cos 3C      (M. Iliev, 4/12/07)

Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(215) lies on these lines: 1,49    11,110    12,54    55,184

X(215) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,50)

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