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.

The JRE (Java Runtime Environment) is not enabled in your browser!

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            a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(1408)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2321) lies on these lines:
1,2345    6,519    8,9    10,37    33,200    69,527    71,1018    72,1903    75,142    141,536    145,1449    190,319    226,306    284,1043    314,646    515,1766    644,2287    1089,1826    1266,1278

X(2321) = isogonal conjugate of X(1412)
X(2321) = isotomic conjugate of X(1434)
X(2321) = X(I)-Ceva conjugate of X(J) for I,J = 8,210    321,10    646,522
X(2321) = cevapoint of X(1334) and X(2318)
X(2321) = X(210)-cross conjugate of X(10)
X(2321) = cevapoint of X(1334) and X(2318)
X2321) = crosssum of X(I) and X(J) for these I,J: 56,604    1333,1408

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

free counter