## X(1966) (CROSSDIFFERENCE OF PU(36))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.

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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) = b2c2(a4 - b2c2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1966) lies on these lines:
1,75    2,893    31,561    240,811    350,1281    668,1757    732,894    798,812    799,896

X(1966) = isogonal conjugate of X(1967)
X(1966) = isotomic conjugate of X(1581)
X(1966) = X(I)-Ceva conjugate of X(J) for these (I,J): (874,804), (1581,1965), (1821,75)
X(1966) = X(I)-cross conjugate of X(J) for these (I,J): (698,1916), (1691,699)
X(1966) = crosssum of X(1580) and X(1582)

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