## X(470) (X(15)-CROSS CONJUGATE OF X(298))

 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           sin(A + π/3) csc 2A : sin(B + π/3) csc 2B : sin(C + π/3) csc 2C
Barycentrics    sin(A + π/3) sec A : sin(B + π/3) sec B : sin(C + π/3) sec 2C

X(470) lies on these lines: 2,3    18,275    264,301    298,340    302,317    343,634    394,633

X(470) = inverse-in-orthocentroidal-circle of X(471)
X(470) = X(15)-cross conjugate of X(298)
X(470) = X(4)-Hirst inverse of X(471)

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