## X(195) (X(5)-CEVA CONJUGATE OF X(3))

 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) = (cos A)(v + w - u),
u = u(A,B,C) = cos A cos(B - A) cos(C - A), v = u(B,C,A), w = u(C,A,B)

Barycentrics    af(A,B,C) : bf(B,C,A) : cf(C,A,B)
Barycentrics    4 cos 2A + cot2A - cot A cot ω : 4 cos 2B + cot2B - cot B cot ω : 4 cos 2C + cot2C - cot C cot ω       (M. Iliev, 5/13/07)

X(195) lies on these lines:
3,54    4,399    6,17    49,52    110,143    140,323    155,381    382,1498

X(195) = reflection of X(I) in X(J) for these (I,J): (3,54), (54,1493)
X(195) = X(5)-Ceva conjugate of X(3)
X(195) = crosssum of X(137) and X(523)

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