## X(692) (X(110)-CEVA CONJUGATE OF X(101))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.

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            a2/(b - c) : b2/(c - a) : c2/(a - b)
Barycentrics    a3/(b - c) : b3/(c - a) : c3/(a - b)

X(692) lies on these lines:
25,913    48,911    55,184    59,513    99,785    100,110    101,926    154,197    163,906    182,1001    206,219    213,923    667,1110    813,825

X(692) = isogonal conjugate of X(693)
X(692) = X(I)-Ceva conjugate of X(J) for these (I,J): (59,6), (110,101)
X(692) = cevapoint of X(I) and X(J) for these (I,J): (101,109), (110,163)
X(692) = crosssum of X(I) and X(J) for these (I,J): (2,149), (513,905), (514,522), (764,1086)
X(692) = crossdifference of any two points on line X(918)X(1086)

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