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

X(1376)
(EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER CIRCLE))


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: 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           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a2 - ab - ac + 2bc
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b + c - a cos A

X(1376) lies on these lines:
1,474    2,11    3,10    4,1329    6,43    7,480    8,56    9,165    12,377    31,899    35,405    36,956    40,936    42,750    45,846    46,72    57,200    63,210    65,78    71,965    75,183    226,1260    227,1038    371,1377    372,1378    442,498    517,997    519,999    748,902    851,1211    978,1191    982,1054

X(1376) = midpoint of X(57) and X(200)
X(1376) = complement of X(497)
X(1376) = X(294)-Ceva conjugate of X(518)
X(1376) = cevapoint of X(43) and X(165)

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