## X(273) (ISOGONAL CONJUGATE OF X(212))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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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           sec A sec2(A/2) : sec B sec2(B/2) : sec C sec2(C/2)
= (1- sec A)csc2A : (1 - sec B)csc2B : (1 - sec C)csc2C

Barycentrics    tan A sec2(A/2) : tan B sec2(B/2) : tan C sec2(C/2)

X(273) lies on these lines: 2,92    4,7    19,653    27,57    28,272    29,34    53,1086    75,225    78,322    108,675    226,469    269,1111    317,320    458,894

X(273) = isogonal conjugate of X(212)
X(273) = isotomic conjugate of X(78)
X(273) = X(I)-Ceva conjugate of X(J) for these (I,J): (264,342), (286,7), (331,92)
X(273) = cevapoint of X(I) and X(J) for these (I,J): (4,278), (34,57)
X(273) = X(I)-cross conjugate of X(J) for these (I,J): (4,92), (57,85), (225,278)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.

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Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense