INSTITUTO DE MATEMÁTICA
HJB --- GMA --- UFF

X(318)
(ISOTOMIC CONJUGATE OF X(77))


Click here to access the list of all triangle centers.

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 Run Macro Tool, 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           (1 + sec A)/a2 : (1 + sec B)/b2 : (1 + sec C)/c2
                                    = sec A csc2A/2 : sec B csc2B/2 : sec C csc2C/2

Barycentrics    (1 + sec A)/a : (1 + sec B)/b : (1 + sec C)/c

X(318) lies on these lines:
2,280    4,8    10,158    29,33    53,594    63,412    75,225    77,309    108,404    200,1089    208,653    239,458    243,958    253,342    281,346    317,319    475,1068

X(318) = isogonal conjugate of X(603)
X(318) = isotomic conjugate of X(77)
X(318) = X(264)-Ceva conjugate of X(92)
X(318) = cevapoint of X(9) and X(33)
X(318) = X(I)-cross conjugate of X(J) for these (I,J): (9,312), (10,8), (281,92)

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



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