## X(226) (X(7)-CEVA CONJUGATE OF X(65))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           (csc A)(cos B + cos C) : (csc B)(cos C + cos A) : (csc C)(cos A + cos B)
= bc(b + c)/(b + c - a) : ca(c + a)/(c + a - b) : ab(a + b)/(a + b - c)

Barycentrics    (b + c)/(b + c - a) : (c + a)/(c + a - b) : (a + b)/(a + b - c)

This center is also X(63) of the medial triangle.

X(226) = reflection of X(993) in X(1125)
X(226) = isogonal conjugate of X(284)
X(226) = isotomic conjugate of X(333)
X(226) = complement of X(63)
X(226) = X(I)-Ceva conjugate of X(J) for these (I,J): (7,65), (349,307)
X(226) = cevapoint of X(37) and X(65)
X(226) = X(I)-cross conjugate of X(J) for these (I,J): (37,10), (73,307)
X(226) = crosspoint of X(2) and X(92)
X(226) = crosssum of X(I) and X(J) for these (I,J): (6,48), (41,55)
X(226) = crossdifference of any two points on line X(652)X(663)
X(226) = X(I)-beth conjugate of X(J) for these (I,J): (2,226), (21,1064), (100,42), (190,226), (312,306), (321,321), (335,226), (835,226)

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