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

X(220)
(X(9)-CEVA CONJUGATE OF X(55))


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           a(b + c - a)2 : b(c + a - b)2 : c(a + b - c)2
Trilinears           (1 + cos A)2/sin A : (1 + cos B)2/sin B : (1 + cos C)2/sin C      (M. Iliev, 4/12/07)

Barycentrics    a2(b + c - a)2 : b2(c + a - b)2 : c2(a + b - c)2

X(220) lies on these lines:
1,6    3,101    8,294    33,210    40,910    41,55    48,963    63,241    64,71    78,949    144,279    154,205    169,517    200,728    201,221    268,577    277,1086    281,594    329,948    346,1043

X(220) = isogonal conjugate of X(279)
X(220) = X(I)-Ceva conjugate of X(J) for these (I,J): (9,55), (200,480)
X(220) = cevapoint of X(1) and X(170)
X(220) = crosspoint of X(9) and X(200)
X(220) = crosssum of X(57) and X(269)
X(220) = crossdifference of any two points on line X(513)X(676)
X(220) = X(I)-beth conjugate of X(J) for these (I,J): (101,221), (220,41), (644,220), (728,728)

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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