X(290) (ISOGONAL CONJUGATE OF X(237))

 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           csc2A sec(A + ω) : csc2B sec(B + ω) : csc2C sec(C + ω)
Barycentrics    csc A sec(A + ω) : csc B sec(B + ω) : csc C sec(C + ω)

X(290) lies on these lines:
2,327    3,76    6,264    54,276    66,317    67,340    68,315    69,670    71,190    72,668    73,336    248,385    265,316    308,311    892,895

X(290) = isogonal conjugate of X(237)
X(290) = isotomic conjugate of X(511)
X(290) = cevapoint of X(I) and X(J) for these (I,J): (2,511), (98,287)
X(290) = X(I)-cross conjugate of X(J) for these (I,J): (385,308), (401,276), (511,2)

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