HJB --- GMA --- UFF


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: (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 B + sec C : sec C + sec A : sec A + sec B
Barycentrics    (cos B + cos C) sin 2A : (cos C + cos A) sin 2B : (cos A + cos B) sin 2C

X(73) lies on these lines:
1,4    3,212    6,41    21,651    35,74    36,54    37,836    42,65    55,64    57,386    66,976    68,1060    69,77    72,201    102,947    228,408    284,951    290,336    1036,1037    1057,1059

X(73) is the {X(1064),X(1066)}-harmonic conjugate of X(1).

X(73) = isogonal conjugate of X(29)
X(73) = X(1)-Ceva conjugate of X(65)
X(73) = X(228)-cross conjugate of X(71)
X(73) = crosspoint of X(I) and X(J) for these (I,J): (1,3), (77,222), (226,307)
X(73) = crosssum of X(I) and X(J) for these (I,J): (1,4), (33,281)
X(73) = crossdifference of any two points on line X(243)X(522)
X(73) = X(I)-Hirst inverse of X(J) for these (I,J): (1,243), (65,851)
X(73) = X(I)-beth conjugate of X(J) for these (I,J): (1,1042), (3,73), (21,946), (72,72), (100,10), (101,73), (295,73)

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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