X(2076) (INVERSE-IN-CIRCUMCIRCLE OF X(39))

 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) = sin A - 2 cos A sin 2ω
Trilinears           g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = a(a4 - b4 - c4 + a2b2 + a2c2 - b2c2)       (M. Iliev, 5/13/07)

Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(2076) lies on these lines:
3,6    22,1613    99,732    141,384    385,698    599,1003    691,755    733,805    904,1964

X(2076) = reflection of X(I) in X(J) for these (I,J): (6,1691), (1691,187)
X(2076) = inverse-in-circumcircle of X(37)
X(2076) = X(694)-Ceva conjugate of X(6)
X(2076) = crosspoint of X(249) and X(805)
X(2076) = crosssum of X(115) and X(804)

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