HJB --- GMA --- UFF

({X(2), X(31)}-HARMONIC CONJUGATE OF X(238))

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           a2 + bc : b2 + ca : c2 + ab
Barycentrics    a3 + abc : b3 + abc : c3 + abc

X(171) lies on these lines: 1,3    2,31    4,601    6,43    7,983    10,58    37,846    42,81    47,498    63,612    72,1046    84,989    98,109    181,511    222,611    292,893    319,757    385,894    388,603    474,978    595,1125    602,631    756,896

X(171) = isogonal conjugate of X(256)
X(171) = X(292)-Ceva conjugate of X(238)
X(171) = X(I)-beth conjugate of X(J) for these (I,J): (100,171), (643,42)

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