## X(488) (ANTICOMPLEMENT OF X(485))

 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           f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = (cos A)(1 + csc A sin B sin C)
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

Barycentrics    (b2 + c2 - a2)(a2 + 2σ) : (c2 + a2 - b2)(b2 + 2σ) : (a2 + b2 - c2)(c2 + 2σ)       (M. Iliev, 5/13/07)

X(488) is a perspector of triangles associated with squares that circumscribe ABC. For details, see Vierkanten in een driehoek: 2. Meer punten uit omgeschreven vierkanten (Floor van Lamoen, 4/29/98)

X(488) lies on these lines: 2,372    3,69    4,490    193,371    376,489    491,631

X(488) = reflection of X(485) in X(641)
X(488) = anticomplement of X(485)
X(488 = anticomplementary conjugate of X(637)
X(488) = X(I)-Ceva conjugate of X(J), for these (I,J): (4,487), (490,20), (492,2)

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