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

X(1334)
(POINT ALYA)


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) = a(b + c)(b + c - a)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1334) lies on thes lines:
1,672    3,1055    8,9    10,1018    21,644    32,902    35,101    37,65    39,1201    41,55    42,213    607,1253    756,862

X(1334) = X(I)-Ceva conjugate of X(J) for these (I,J): (9,210), (37,42), (644,663)
X(1334) = crosspoint of X(I) and X(J) for these (I,J): (9,55), (37,210)
X(1334) = crosssum of X(I) and X(J) for (I,J) = (7,57), (81,1014)
X(1334) = crossdifference of any two points on line X(1443)X(1447)

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