## X(476) (TIXIER 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           f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = 1/[(1 + 2 cos 2A) sin(B - C)]
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

The reflection of X(110) in the Euler line; X(476) is on the circumcircle. (Michel Tixier, 5/9/98). Also, X(476) is the center of the polar conic of X(30) with respect to the Neuberg cubic; this conic is a rectangular hyperbola passing through the incenter, the excenters, and X(30). (Peter Yff, 5/23/99)

X(476) lies on these lines: 2,842    3,477    23,94    30,74    99,850    110,523    111,230    250,933    376,841

X(476) = reflection of X(I) in X(J) for these (I,J): (146,1553), (477,3)
X(476) = isogonal conjugate of X(526)
X(476) = cevapoint of X(30) and X(523)

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