## X(145) (ANTICOMPLEMENT OF NAGEL POINT)

 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           bc(3a - b - c) : ca(3b - c - a) : ab(3c - a - b)
Barycentrics    3a - b - c : 3b - c -a : 3c - a - b

X(145) = X(8)-of-anticomplementary triangle

X(145) lies on these lines: 1,2    4,149    6,346    20,517    21,956    37,391    56,100    72,452    81,1043    144,192    218,644    279,664    329,950    330,1002    377,1056    404,999    515,962

X(145) is the {X(1),X(8)}-harmonic conjugate of X(2).

X(145) = reflection of X(I) in X(J) for these (I,J): (3,1483), (4,1482), (8,1), (20,944), (100,1317), (144,390), (149,1320)
X(145) = anticomplement of X(8)
X(145) = X(7)-Ceva conjugate of X(2)
X(145) = crosssum of X(663) and X(1015)
X(145) = X(643)-beth conjugate of X(56)

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