## X(147) (TARRY POINT OF ANTICOMPLEMENTARY TRIANGLE)

 Interactive Applet

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Download all construction files and macros: tc.zip (10.1 Mb).
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) = bc[a8 + (b2 + c2)a6 - (2b4 + 3b2c2 + 2c4)a4
+ (b6 + b4c2 + b2c4 + c6)a2 - b8 + b6c2 + b2c6 - c8]

Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(147) = X(98)-of-anticomplementary triangle

X(147) lies on these lines: 1,150    2,98    4,148    20,99    132,648    146,690    684,804

X(147) is the {X(98),X(114)}-harmonic conjugate of X(2). For a list of harmonic conjugates, click More at the top of this page.

X(147) = reflection of X(I) in X(J) for these (I,J): (20,99), (98,114), (148,4), (385,1513)
X(147) = anticomplementary conjugate of X(511)
X(147) = X(325)-Ceva conjugate of X(2)

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

If you have questions or suggestions, please, contact us using the e-mail presented here.

Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense