## X(43) (X(6)-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           ab + ac - bc : bc + ba - ca : ca + cb - ab
= csc B + csc C - csc A : csc C + csc A - csc B : csc A + csc B - csc C

Barycentrics    a(ab + ac - bc) : b(bc + ba - ca) : c(ca + cb - ab)

X(43) lies on these lines:
1,2    6,87    9,256    31,100    35,1011    40,970    46,851    55,238    57,181    58,979    72,986    75,872    81,750    165,573    170,218    210,984    312,740    518,982

X(43) is the {X(2),X(42)}-harmonic conjugate of X(1).

X(43) = reflection of X(1) in X(995)
X(43) = isogonal conjugate of X(87)
X(43) = X(6)-Ceva conjugate of X(1)
X(43) = X(192)-cross conjugate of X(1)
X(43) = crosssum of X(2) and X(330)
X(43) = X(55)-Hirst inverse of X(238)

X(43) = X(I)-aleph conjugate of X(J) for these (I,J):
(1,9), (6,43), (55,170), (100,1018), (174,169), (259,165), (365,1), (366,63), (507,362), (509,57)

X(43) = X(660)-beth conjugate of X(43)

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