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

X(1722)
(MIMOSA TRANSFORM OF X(56))


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: 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) = - (cos A)/x + (cos B)/y + (cos C)/z,    x : y : z = X(56)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1722) lies on these lines:
1,2    4,1716    9,986    34,1788    40,238    46,1707    57,1773    87,937    169,1046    171,1453    223,1047    269,979    427,1039    429,1717    920,1772    958,988    1040,1837    1104,1376    1254,1445    1711,1720    1723,1880

X(1722) = X(I)-Ceva conjugate of X(J) for these (I,J): (34,1), (1788,46)
X(1722) = X(I)-aleph conjugate of X(J) for these (I,J): (1,1490), (4,1158), (19,1721), (27,1746), (28,580), (34,1722), (57,223), (108,109), (174,1763), (266,1745), (278,1708), (509,610)

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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