## X(2345) (X(2)-ISOCONJUGATE OF X(1472))

 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            a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(1472)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2345) lies on these lines:
1,2321    2,37    4,9    6,8    7,141    44,391    45,1213    48,2329    69,894    145,1100    193,319    198,1376    219,1065    220,965    318,393    329,1211    333,1778    388,2285    404,2178    498,1733    519,1449    572,944    936,2324    948,1441    992,2176    1010,2303    1400,1788    1698,1738

X(2345) = isogonal conjugate of X(2221)
X(2345) = X(1010)-Ceva conjugate of X(612)
X(2345) = X(612)-cross conjugate of X(388)
X(2345) = crosspoint of X(2) and X(1219)
X(2345) = crosssum of X(I) and X(J) for these I,J: 6,1191    1245,2281

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