## X(191) (X(10)-CEVA CONJUGATE OF X(1))

 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) = (b + c - a)(bc + ca + ab) + b3 + c3 - a3
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(191) lies on these lines:
1,21    9,46    10,267    30,40    35,72    36,960    109,201    165,1079    190,1089    329,498

X(191) = reflection of X(I) in X(J) for these (I,J): (1,21), (79,442)
X(191) = isotomic conjugate of X(267)
X(191) = X(10)-Ceva conjugate of X(1)
X(191) = crosspoint of X(I) and X(J) for these (I,J): (10,502)
X(191) = crosssum of X(58) and X(501)
X(191) = X(I)-aleph conjugate of X(J) for these (I,J): (2,2), (8,20), (10,191), (37,1045), (188,3), (366,6)
X(191) = X(643)-beth conjugate of X(191)

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