## X(100) (ANTICOMPLEMENT OF FEUERBACH POINT)

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           1/(b - c) : 1/(c - a) : 1/(a - b)
= (a - b)(a - c) : (b - c)(b - a) : (c - a)(c - b)

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

X(100) = circumcircle-antipode of X(104)
X(100) = Ψ(X(6), X(1))

X(100) is the {X(10),X(35)}-harmonic conjugate of X(21).

X(100) = midpoint of X(20) and X(153)
X(100) = reflection of X(I) in X(J) for these (I,J): (1,214), (4,119), (8,1145), (80,10), (104,3), (145,1317), (149,11), (962,1537), (1156,9), (1320,1), (1484,140)

X(100) = isogonal conjugate of X(513)
X(100) = complement of X(149)
X(100) = anticomplement of X(11)
X(100) = X(99)-Ceva conjugate of X(190)
X(100) = cevapoint of X(I) and X(J) for these (I,J): (1,513), (3,521), (10,522), (142,514), (442,523)
X(100) = X(I)-cross conjugate of X(J) for these (I,J): (3,59), (513,1), (521,8), (522,21)
X(100) = crosssum of X(I) and X(J) for these (I,J): (1,1054), (244,764), (512,661), (649,663)
X(100) = crossdifference of any two points on line X(244)X(665)
X(100) = X(1)-line conjugate of X(244)

X(100) = X(I)-aleph conjugate of X(J) for these (I,J):
(1,1052), (100,1), (190,63), (643,411), (666,673), (765,100), (1016,190)

X(100) = X(I)-beth conjugate of X(J) for these (I,J):
(8,80), (21,106), (100,109), (333,673), (643,100), (765,100)

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